Answer:
Odds in against the team winning is 5 : 3
Step-by-step explanation:
Consider the provided information.
The odds against is the ratio of how many ways an outcome can't take place compared to how many ways it can take place.
Here the probability of winning its next match is 3/8.
That means total number of outcomes are 8.
Favorable outcomes are 3.
Therefore, the unfavorable outcomes are 8-3=5.
We need to find the odds against the team winning its next match.
Therefore, odds in against the team winning is 5 : 3
The probability of odds against the team winning is [tex]\frac{5}{8}[/tex]
To find the odds against the rugby team winning, subtract the probability of winning from 1 to get the probability of not winning and form a ratio of these probabilities, resulting in odds of 5:3 against the team winning.
Explanation:The student is asking about the calculation of odds against a rugby team winning its next match given a certain probability of winning. First, we need to understand the probability of the team not winning (losing or drawing) because the odds against the team winning would be the ratio of it losing to it winning. Since the probability of winning is given as 3/8, the probability of not winning is 1 - 3/8 = 5/8. The odds against the team winning are therefore expressed as the ratio of the probability of not winning to the probability of winning, which is 5/8 to 3/8, or simply 5:3 when converted into odds format.
Learn more about Odds against a rugby team winning here:https://brainly.com/question/31742431
#SPJ3
25 Which expression is a factor of 36x2 - 49?
A
18% - 7
B 6x - 49
C 18% - 49
D 6x - 7
Answer:
D.6x-7
Step-by-step explanation:
Answer:
B. 6x-49
Step-by-step explanation:
36x2-49
36x2=72
72-49=23
18%-7= (-6.82)
6x-49=(-43)
18% - 49=(-50.26)
23-(-6.82)=16.18
23-(-43)=66
23-(-50.26)=73.26
Two pipes can fill a tank in 19 minutes if both are turned on. If only one is used, it would take 49 minutes longer for the smaller pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank? (Round your answer to the nearest tenth.)
Answer:
The time taken by smaller pipe to fill the tank alone is 74.2 min
Step-by-step explanation:
Given as :
The time taken by two pipes to fill tank = 19 min
Let the time taken by larger pipe to fill tank = y
And the time taken by smaller pipe to fill tank = x
According to question
The smaller pipe takes 49 minutes longer than larger pipe
I.e x = y + 49
Now,
[tex]\dfrac{1}{x}[/tex] + [tex]\dfrac{1}{y}[/tex] = [tex]\dfrac{1}{49}[/tex]
Or, [tex]\dfrac{1}{y + 49}[/tex] + [tex]\dfrac{1}{y}[/tex] = [tex]\dfrac{1}{49}[/tex]
Or, [tex]\dfrac{y + 49 + y}{y^{2} + 49 y }[/tex] = [tex]\dfrac{1}{49}[/tex]
Or, 2 y + 49 = [tex]\dfrac{y^{2}+49y }{19}[/tex]
Or, 19 × ( 2 y + 49 ) = y² + 49 y
Or, 38 y + 931 = y² + 49 y
Or, y² + 49 y - 38 y - 931 = 0
or, y² + 11 y - 931 = 0
Or, Applying quadratic equation method to calculate the value of y
so, y = [tex]\frac{- b \pm \sqrt{b^{2}-4\times a\times c}}{2\times a}[/tex]
Or, y = [tex]\frac{- 11 \pm \sqrt{11^{2}-4\times 1\times (-931)}}{2\times 1}[/tex]
Or, y = [tex]\frac{- 1 \pm \sqrt{121+3724}}{2}[/tex]
or, y = [tex]\frac{- 1 \pm \sqrt{3845}}{2}[/tex]
or, y = [tex]\frac{- 1 \pm 62.008}{2}[/tex]
∴ y = 25.2 , - 36.5
So, The time taken by larger pipe = y = 25.2 min
and the time taken by smaller pipe to fill the tank = y + 49 = 25.2 + 49 = 74.2 min
Hence The time taken by smaller pipe to fill the tank alone is 74.2 min answer
Elliott is counting the change from a class fundraiser. He has half as many quarters as nickels, and he has 7 fewer dimes than nickels. The total value of coins is $5.90. He wrote the equation 0 Which statements identify Elliott’s errors? Check all that apply. He should have written the expression for the number of dimes as x – 7. He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25. He should have written the coin value for the nickel as 0.05. He should have translated the scenario as value of all dimes = value of all nickels and value of all quarters = value of all nickels. He should have written the expression for number of nickels as 2x.
The equation written by Elliot, which was not included in the question, is:
[tex]0.10(7-x)+0.5(x)+0.25(0.5x)=5.90[/tex]
The statements from which you have to identify the errors are:
a) He should have written the expression for the number of dimes as x – 7.
b) He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25.
c) He should have written the coin value for the nickel as 0.05.
d) He should have translated the scenario as the value of all dimes = value of all nickels and value of all quarters = value of all nickels.
e) He should have written the expression for the number of nickels as 2x.
Answer:
There two errors:
First statement: He should have written the expression for the number of dimes as x - 7.Third statement: He should have written the coin value for the nickel as 0.05Explanation:
I will start by writing the correct expression following the statements step-by-step:
1) He has half as many quarters as nickels
Name x the number of nickels: xThe number of quarters is half the number of nickels: x/22) He has 7 fewer dimes than nickels.
That is: x - 73) Mulitiply each number of coins by its value in dollars:
Dimes: (x - 7) × 0.10 = 0.10 (x - 7)Nickles: x × (0.05) = 0.05xQuarters: x/2 × 0.25 = 0.25× (1/2 × x) = 0.25 (0.5x)4) Add he values of all the coins:
0.10 (x - 7) + 0.05x + 0.25x5) Equal to the total value of $ 5.90:
0.10 (x - 7) + 0.05x + 0.25x = 5.906) Compare with the equation written by Elliot:
0.10 (7 - x) + 0.5(x) + 0.25(0.5x)=5.907) Conclusion:
There are two errors:
He wrote 7 - x, instead of 7 - x. That means that the first error was indicated by the first statement: He should have written the expression for the number of dimes as x - 7.He wrote 0.5x instead of 0.05x. That means that the second error was indicated by the third statement: He should have written the coin value for the nickel as 0.05.Answer:
for the people on edgen the answer is the first and the third options
Step-by-step explanation:
uhhh
Find the product. Simplify if possible.
[tex]\frac{4}{2a}[/tex] · [tex]\frac{a}{11}[/tex]
A. [tex]\frac{5}{13}[/tex]
B. [tex]\frac{2}{11}[/tex]
C. [tex]\frac{2}{11a}[/tex]
D. [tex]\frac{2a}{11}[/tex]
Answer:
B) 2/11
Step-by-step explanation:
(4/2a)(a/11)
4/2a=2/a
(2/a)(a/11)=2/11
What is X-1/4 - x+2/5=-1
Answer:
x = -7
Step-by-step explanation:
(x-1)/4-(x+2)/5=-1
[5(x-1) - 4(x+2)]/20 = -1
5x-5-4x-8 = -20
x-13= -20
x= -20 +13
x= -7
What is the unit price if a package of 12 candy canes cost $4?
Answer:
$1 for every 3 candy canes
The drawing will help
Monica and fill each have part-time jobs Monica makes twice as much money in a week as Phil if the total of their weekly earnings is 825 how much does each person make
Monica makes $550 and Phil makes $275 per week
Step-by-step explanation:
Monica and Phil each have part-time jobs
Monica makes twice as much money in a week as PhilThe total of their weekly earnings is $825We need to find how much each person makes
Assume that Phil makes $x in a week
∵ Phil makes $x per week
∵ Monica makes twice as much money in a week as Phil
∴ Monica makes = $2x per week
∵ The total of their weekly earnings is 825
- Add their weekly earnings
∴ x + 2x = 825
- Add the like terms
∴ 3x = 825
- Divide both sides by 3
∴ x = 275
- Find 2x
∴ 2x = 2(275) = 550
Monica makes $550 and Phil makes $275 per week
Learn more:
You can learn more about the linear equation in brainly.com/question/4932386
#LearnwithBrainly
On March 20, 2011, a $1,000 bond had a selling price of $987.50. What was the quoted price for the bond?
987.5
0.9875
9.875
98.75
None of these choices are correct.
Answer:
98.75%.
Step-by-step explanation:
On March 20, 2011, a $1000 bond had a selling price of $987.50.
We are asked what will be the quoted price for the bond.
Now, the quoted price of a bond is the price at which the bond was last traded and it is expressed as the percentage of the original bond value.
So, in our case the quoted price will be [tex]\frac{987.50}{1000} \times 100 = 98.75[/tex] %. (Answer)
exponential function f(x) has a y intercept of 3 and an x intercept of -2. the function is always increasing as the value of x increases, but the function never reaches y=4
would it be decreasing or increasing and will it point down or up?
PLZ ANSWER ASAP
Answer:
[tex]f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]
The exponential function is increasing and is concave down
Step-by-step explanation:
Let the equation of exponential function be
[tex]f(x)=a\cdot b^x+c,\ ,\ b>0[/tex]
1. Exponential function f(x) has a y intercept of 3, so the graph of f(x) passes through the point (0,3). Thus,
[tex]3=a\cdot b^0+c\\ \\3=a+c[/tex]
2. Exponential function f(x) has an x intercept of -2, so the graph of f(x) passes through the point (-2,0). Thus,
[tex]0=a\cdot b^{-2}+c\\ \\0=\dfrac{a}{b^2}+c[/tex]
3. Function is always increasing as the value of x increases, but the function never reaches y=4, so
[tex]c=4[/tex]
Hence,
[tex]\left\{\begin{array}{l}a+4=3\\ \\\dfrac{a}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\\dfrac{-1}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\b^2=\dfrac{1}{4}\end{array}\right.[/tex]
So,
[tex]a=-1,\\ \\b=\dfrac{1}{2},\\ \\c=4,\\ \\f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]
Find the sum -6+3 explanation for this answer
Answer:
-3
Step-by-step explanation:
-3-3=-6
Answer:
-3
Step-by-step explanation:
ok so -6 +3
-6 is negative and when you add the 3 you move to the left closer to the 0
you end up with -3
What value of k makes the factor (x+3) a factor of the function f(x)= 3x^3–2x+k? Someone plz help!!!! It’s for pre cal! It’s using the synthetic division
Answer:
75
Step-by-step explanation:
Since x+3 is the factor of the function f(x) .
So, -3 should satisfy f(x),
Thus putting -3 in f(x) we get
3×[tex](-3)^{3}[/tex]-2×(-3)+k = 0
-81+6+k = 0
k = 75.
So , k should be equal to 75.
A fraction with a zero in the numerator equals
Answer: With any number if the 0 is at the Numerator it will always be 0
Step-by-step explanation:
If a 0 is at the Denominator it will be Undifined
I need help trying to get the value of the x angle, here's an image of it
Answer:
x = 20°
Step-by-step explanation:
See the attached diagram.
Given that B and C are the two centers of two equal circles.
Now, ∠ ECD = 80° also given.
Now, Δ BCE is an isosceles triangle as BC = CE = Radius of the circle.
So, ∠ EBC = ∠ CEB.
Now, ∠ ECD = ∠ EBC + ∠ CEB = 80°
⇒ 2 ∠ EBC = 80°
⇒ ∠ EBC = 40°
Again, the triangle Δ ABF is an isosceles triangle as AB = BF = Radius
So, ∠ BAF = ∠ BFA = x°
Now, ∠ EBC = ∠ BAF + ∠ BFA = 40°
⇒ x° + x° = 40°
⇒ 2x = 40
⇒ x = 20° (Answer)
An expression can be written in rational form by
writing it as a fraction with a denominator of
Answer:
denominator of 1
Step-by-step explanation:
An expression can be written in rational number by writing 1 in the denominator then it will become a fraction and a rational number
Answer:
A rational numbers can be defined as numbers that can be expressed as the quotient between two integers.
This means that a whole number can be expressed as a rational number by just adding 1 into its denominator
[tex]2 \implies \frac{2}{1}[/tex]
That way the whole number would be a rational number, becase 2 and 1 are integers.
Therefore, an expression can be written in rational form by writing it as a fraction with a denominator of 1.
How high should the engineer make the hill?
Answer: The height of hill is 125 feet.
Step-by-step explanation:
Given that velocity of the rollercoaster is [tex]v= \sqrt{(v_\limit{0}^{2} )+64h}[/tex]
Where, [tex]v_\limit{0}[/tex] is initial velocity and h is height from top of hill.
and v is velocity at height h.
Initial Velocity [tex]v_\limit{0}[/tex] is 10feet/sec at top of hill.
Also, Velocity at bottom of the hill is 90feet/sec.
Therefore, the value of h at top of the hill is h=0 and value of h at bottom of the hill is h=h
[tex]v= \sqrt{(v_\limit{0}^{2} )+64h}[/tex]
[tex]90= \sqrt{(10)^{2} +64h}[/tex]
[tex]90^{2}= 10^{2} +64h[/tex]
8100=100+64h
8000=64h
h=125 feets.
Thus, The height of hill is 125 feet.
Enter the equation of the line in slope-intercept form. Slope is − 1 /2 , and (−3, 4) is on the line. The equation of the line is y =
Answer:
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex], thus
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 4 - [tex]\frac{3}{2}[/tex] = [tex]\frac{5}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex] ← equation of line
Answer:The equation of the line is;
Step-by-step explanation:
This pair of figures is similar. Find the missing side.
Answer:
x = 12Step-by-step explanation:
If given figures are similar, then corresponding sides are in proportion.
Therefore we have the equation:
[tex]\dfrac{x}{3}=\dfrac{56}{14}[/tex] cross multiply
[tex](14)(x)=(3)(56)[/tex]
[tex]14x=168[/tex] divide both sides by 14
[tex]\dfrac{14x}{14}=\dfrac{168}{14}[/tex]
[tex]x=12[/tex]
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the missing side is 12 units.
What are Similar Figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
For two similar figures, the ratio of any two corresponding sides is in ratio, therefore, the length of the unknown side can be written as,
(10/40) = (14/56) = (14/56) = (3/x)
1/4=3/x
x = 12
Hence, the length of the missing side is 12 units.
Learn more about Similar Figures:
https://brainly.com/question/11315705
#SPJ2
Elliot is standing at the top of a store escalator that leads to the ground floor below. The angle of depression from the top of the escalator to the floor is 42.51 degree, and the escalator is 16 feet long. How far the top of the escalator from the ground floor? Round your answer to the nearest foot.
A. 41 feet
B. 17 feet
C. 12 feet
D. 11 feet
Answer:
The answer is 11
Step-by-step explanation:
Final answer:
The distance between the top of the escalator and the ground floor is approximately 12 feet.
Explanation:
To find the distance between the top of the escalator and the ground floor, we can use trigonometry. We have the length of the escalator (16 feet) and the angle of depression (42.51 degrees). The distance we need to find is the opposite side of the right triangle formed by the top of the escalator, the floor, and the length of the escalator. We can use the sine function to find this distance.
The formula is sin(angle) = opposite/hypotenuse. Plugging in the values, we get sin(42.51) = opposite/16. Solving for opposite, we have opposite = sin(42.51) * 16.
Using a calculator, we find that opposite ≈ 12.014 feet. Rounding to the nearest foot, the distance between the top of the escalator and the ground floor is approximately 12 feet.
Please help!!! I’ll mark you as brainliest
Answer:
The correct answer is 17 weeks.
Step-by-step explanation:
First, write an equation:
total cost = (30)weekly + deposit
Let's solve:
1004.51 = 30w + 500
504.51 = 30w Subtract 500 from both sides
16.817 = w Divide both sides by 30
17 = w Round up (money always rounds up)
Hope this helps,
♥A,W,E,S.W.A.N.♥
Tony drives his car.
He drives the first 13 miles in 13 minutes.
He then drive at an average speed of 68 mph for 1 hour 24 minutes.
Use the information given on the table to find out how much petrol he uses.
Average speed Miles traveled per gallon
65 mph or less 50
More than 65 mph 40
Answer:
The total amounts of petrol used up by his car is 3.235 gallons.
Step-by-step explanation:
Tony drives his car and drives the first 13 miles in 13 minutes.
So, the average speed was [tex]\frac{13}{13} \times 60 = 60[/tex] mph.
which is less than 65 miles per hour, and the miles traveled per gallon is 50.
So, 50 miles of travel is done by 1 gallon of petrol.
Hence, 13 miles travel is done by [tex]\frac{13}{50} = 0.26[/tex] gallons of petrol.
Now, Tony then drives at an average speed of 68 mph > 65 mph for 1 hour and 24 minutes i.e. 1.75 hours.
Then he travels (68 × 1.75) = 119 miles and the miles traveled per gallon is 40.
So, 40 miles of travel is done by 1 gallon of petrol.
Hence, 119 miles travel is done by [tex]\frac{119}{40} = 2.975[/tex] gallons of petrol.
Therefore, the total amount of petrol used up by his car is (0.26 + 2.975) = 3.235 gallons. (Answer)
Which equation can be used to find the unknown length, a, in this triangle?
15 m
17 m
3+15² = 172
152 +172 - a
2² +15= 172
at 15² = 17²
Answer:
Here is the complete question.(attachment)
The correct choice is [tex]a^2+15^2=17^2[/tex]
Step-by-step explanation:
We will apply the Pythagoras formula to calculate the perpendicular length (a).
Pythagoras formula [tex]=(base)^2+(perpendicular)^2=(Hypotenuse)^2[/tex]
The right angle is formed between [tex]a[/tex] and [tex]15\ m[/tex] length.
So [tex]17\ m[/tex] is the hypotenuse opposite to right angle is the longest side and called the hypotenuse.
So
[tex](a)^2+(15)^2=17^2[/tex]
[tex]a=\sqrt{17^2-15^2}= 8\ m[/tex]
So the measure of side length [tex]a[/tex] is [tex]8\ m[/tex].
That can be calculated from the option A that is [tex](a)^2+(15)^2=17^2[/tex].
Note:Please don't look to the marked answers that was wrong in the attachment.
Answer:
Yes it is A
Step-by-step explanation:
Shannon's chair is 20 inches tall. How tall is it in centimeters?
(The proportional relationship between inches and centimeters is 2.54 cm/1 in .)
7.87 cm
49 cm
50.8 cm
40 cm
Answer:
50.8 centimeters
Step-by-step explanation:
So, if Shannon's chair is 20 inches tall, you would multiply that by 2.54 in order to get the length in centimeters.
20 x 2.54 = 50.8.
So Shannon's char is 50.8 centimeters tall.
Using only 32-cent and 20-cent stamps, Charlie put $3.36 postage on a package he sent to his sister,
He used twice as many 32-сent stamps as 20 cent stamps. Determine how many of each type of stamp
he used.
Answer:
Charlie used 4 20-cent stamps and 8 32-cent stamps.
Step-by-step explanation:
Let the number of 20 cents stamps be [tex]x[/tex]. Then, as per question, Chalie used twice as many 32-сent stamps as 20 cent stamps.
Therefore, number of 32-cent stamps is [tex]2x[/tex].
Now, total cost of the stamps is $ 3.36 = 336 cents
Cost of 1 20-cent stamp is 20 cents. So, cost of [tex]x[/tex] 20-cent stamps is [tex]20x[/tex]. Similarly, cost of [tex]2x[/tex] 32-cent stamps is [tex]32(2x)=64x[/tex]
Total cost = [tex]20x+64x=84x[/tex]
As per question,
[tex]84x=336\\x=\frac{336}{84}=4[/tex]
Number of 20-cent stamps = [tex]x = 4[/tex]
Number of 32-cent stamps = [tex]2x=2\times 4=8[/tex]
So, Charlie used 4 20-cent stamps and 8 32-cent stamps.
Answer:
No. of 32 cent stamps = 8
and that of 20 cent stamps = 4
Explanation:
Let no. of 32 cent stamps used be x and the number of 20 cent stamps used be y.
We are given that total postage on a package put by Charlie by using only 32 and 20 cent stamps is equal to $3.36.
So, since 100 cents make one dollar, $3.36 = 336 cents.
So,
32x + 20y = 336
Also we are given that Charlie used twice as many 32 cent stamps as 20 cent stamps which can be written as,
x = 2y
Substituting this equation in previous equation we get
32 [tex]\times[/tex]2y + 20y = 336
=> 64y + 20y = 336
=> 84y = 336
=>y = 4
Putting the value of y in x = 2y we get x = 2*4 = 8
So, no. of 32 cent stamps = 8 and that of 20 cent stamps = 4
“A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin V, which is 250 % of the daily recommend allowance of vitamin C for adults. What is 100% of the daily reccomended allowance of vitamin C for adults?”
Answer:
80 milligrams
Step-by-step explanation:
Write a proportion and solve.
200mg / 250% = x / 100%
x = 80mg
What 2000 multiply by 12
Answer:
24000
Step-by-step explanation:
2000 * 12
= 2 * 12 *(1000)
=24*1000
If we want to multiply by 1000 we "tack" three zeros onto the end.
24000.
Answer: 24,000
Step-by-step explanation: if 2,000 multiplied by 10 = 20,000, and 2,000 multiplied by 2 = 4,000, then if you add those together you get 24,000
A sidewalk 3 feet wide surrounds a rectangular plot of ground that measures 75 feet by 100 feet. Find the area of the sidewalk
Answer:
Step-by-step explanation:
Area of side walk = (106 * 81) - (100 * 75)
Area of side walk = 8586 - 7500 = 1086 square foot.
gia has 80 tiles. each tile is white and blue. she arranges the tile in 8 equal rows. each row has an equal number of white and blue tiles. how many blue tiles are in each row?
Answer:
5 blue tiles
Step-by-step explanation:
Answer: 5 blue tiles are in each row
Step-by-step explanation:
If Gia has 80 tiles and puts them in all in 8 equal rows there would be 10 rows because 80÷8=10. So considering the fact that there is a equal number of blue and white tiles I divided 10 by 2 and I got 5 so I came to the conclusion that there is 5 blue tiles in each row and there is 5 white tiles in each row.
what is the solution of the system?
[tex]y = 2x - 4 \\ 3x - 2y = 8[/tex]
Solution of system of linear equation y = 2x – 4 and 3x - 2y = 8 is x = 0 and y = -4
Solution:Need to determine solution of following system of linear equation
y = 2x – 4 ------(1)
3x - 2y = 8 ------(2)
If we observe the equation (1), we can say that we are having value of y in terms of x. so substitution method is the best approach to solve the above system of linear equation.
In substitution method, we will substitute value of y in equation (2) in terms of variable x from equation (1)
On substituting y = 2x – 4 in equation (2) , we get equation in one variable that is x which is as follows
3x – 2 (2x – 4 ) = 8
=> 3x – 4x + 8 = 8
=> -x = 8 – 8
=> x = 0
On substituting x = 0 in equation (1), we get
y = 2 x 0 – 4
=> y = -4
Hence solution of system of linear equation y = 2x – 4 and 3x - 2y = 8 is x = 0 and y = -4
help PLZ i’m just trying to finish this without getting any wrong
Answer:
The arrangement of the given equation in the slope - intercept form are
1. [tex]y = 1x +82[/tex]
Step-by-step explanation:
Given:
Let A ≡ ( x1 , y1 ) ≡ (-12 , 70)
B ≡ ( x2 , y2 ) ≡ (-4 , 78)
Slope - intercept form :
[tex]y=mx+c[/tex]
Where,
m is the slope of the line.
c is the y-intercept.
When two points are given say ( x1 , y1 ) and ( x2 , y2) we can remove slope by
Slope,
[tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]
∴ [tex]m =\frac{78-70}{-4--12}\\m =\frac{8}{-4+12}\\m =\frac{8}{8}\\ m= 1[/tex]
Now equation of a line for a point ( x1 , y1 ) and having slope m is given as,
[tex](y-y_{1})=m(x- x_{1})\\ \textrm{substituting ( x1 , y1 ) and m we get}\\y-70=1(x-(-12))\\y= x+12+70\\y=x+82[/tex]
Which is in the required form
y = 1x + 82
Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.
PLEASE SOLVE THE QUESTION BELOW
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
we have
[tex]-8(8-x)=\frac{4}{5}(x+28)[/tex]
solve for x
Applying distributive property both sides
[tex]-8(8)-8(-x)=\frac{4}{5}(x)+\frac{4}{5}(28)[/tex]
[tex]-64+8x=\frac{4}{5}(x)+\frac{112}{5}[/tex]
Multiply by 5 both sides to remove the fractions
[tex]-64(5)+8x(5)=4x+112[/tex]
[tex]-320+40x=4x+112[/tex]
subtract 4x both sides
[tex]-320+40x-4x=4x+112-4x[/tex]
[tex]-320+36x=112[/tex]
Adds 320 both sides
[tex]-320+36x+320=112+320[/tex]
[tex]36x=432[/tex]
divide by 36 both sides
[tex]x=12[/tex]