Answers
We have m = 3, [tex]x_1 = 5[/tex], and [tex]y_1 = 10[/tex].
We plug in these values to get
[tex]y-10=3(x-5)[/tex].
We now rearrange to get this into slope-intercept form, [tex]y=mx+b[/tex], by solving for y.
[tex]y=3(x-5)+10\\y=3x-15[/tex]
y = 3x - 5
Explanation:
The equation of the line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope is 3. Therefore, the equation now is:
y = 3x + c
Now, we need to get the value of c. To do so, we will substitute with the given point (5,10) in the equation and solve for c as follows:
y = 3x + c
10 = 3(5) + c
10 = 15 + c
c = 10 - 15
c = -5
Based on the above, the equation of the line is:
y = 3x - 5
Hope this helps :)
Related Questions
NEED HELP FAST PLEASE 3 Fair number cubes with sides number 1 through 6 were tossed in the air was the probability that all three cubes will land on an even number
Answers
∗ 3/6 of them are even.
∗ 3/6 reduces to 1/2
∗ 1/2 • 1/2 • 1/2 = 1/8
⋆ The probability is 1/8 ⋆
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On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Decompose the figure into parallelograms or triangles only. Explain or show how you decomposed the shape. Note: Lines that look parallel are parallel, and lines that look congruent are congruent.
Answers
Answer:
To decompose this shape I would draw a vertical line from the vertex that is pointing outside to the vertex that is pointing inside. By doing this the vertical line will give me 2 congruent parallelograms. Yes it's that simple
Step-by-step explanation:
5 gallons buckets of paint for $97.45 of a 1 gallon bucket of pain for $21.95.
Answers
Answer:
old quetstion xd
Step-by-step explanation:
The graph of the logarithmic function f(x) = loga(x) passes through the points and . The graph lies the y-axis.
Answers
1) Regarding the function [tex]log_ax[/tex] , its graph always passes through the points (1,0) and (a,1).
That is due to the properties of logarithm function:
a) [tex]log_a1=0[/tex]
b) [tex]log_aa=1[/tex]
That in turn is due to the properties of the exponential functions.
a^0 = 1 and a^1 = a
2) Regarding the y-axis.
The function [tex]log_ax[/tex] will never touch the y-axis, because the logaritm of zero is not defined. So the graph lies to the righ of the y-axis (i.e. the domain of the function is x > 0)
The logarithmic graph for the function loga(x) represents relationships similar to that of a log-log plot such as exponential relationships. Understanding properties of logarithms and principles of graphing can help interpret this function. Unlike linear equations, these graphs have a unique shape that are not straight lines.
Explanation:The graph of the logarithmic function f(x) = loga(x) can be understood using logarithmic properties and graph principles. The log-log plot reveals that logarithmic graphs represent exponential relationships such as the decay of radioactivity or the relationship between light's frequency and wavelength. The logarithmic scale is advantageous in graphing large ranges of values.
There are a few principles to note about logarithms for this. For instance, the logarithm of a number with an exponent is equal to the exponent multiplied by the logarithm of the number. Similarly, the logarithm resulting from dividing two numbers is the difference between the logarithms of the two numbers. These properties can be helpful in interpreting the logarithmic graph.
Our graph, however, is not a straight line as in the case of linear equations which have a uniform slope, a y-intercept and x as the horizontal axis. Logarithmic graphs have unique characteristics determined by the base and the values of x.
Learn more about Logarithmic Functions here:https://brainly.com/question/30139693
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Which expression is equal to 5p? p + p + p + p + p 4p + 1 p + 5 p3 + p2
Answers
Jennifer is planning a holiday. The hotel costs $60 per night and her flights cost $150. She has a budget of £500 for hotel and flights. Up to how many nights can she afford in the hotel?
Answers
Answer:
5 nights
Step-by-step explanation:
Let x represent the number of nights. She can spend up to and including 500; this gives us the inequality
60x+150 ≤ 500
Subtract 150 from each side:
60x+150-150 ≤ 500-150
60x ≤ 350
Divide both sides by 60:
60x/60 ≤ 350/60
x ≤ 5.83
Since she cannot stay just a portion of a night, she can stay up to 5 nights.
Jennifer can afford to stay in the hotel for up to 10 nights.
Explanation:To determine the number of nights Jennifer can afford in the hotel, we need to subtract the cost of the flights from her budget and divide the remaining amount by the cost per night.
First, convert Jennifer's budget from pounds to dollars. Assuming an exchange rate of 1 pound = 1.5 dollars, £500 is equal to $750.
Next, subtract the cost of the flights from Jennifer's budget to find her remaining budget for the hotel. $750 - $150 = $600
Finally, divide the remaining budget by the cost per night to find the number of nights she can afford. $600 / $60 = 10 nights.
Therefore, Jennifer can afford to stay in the hotel for up to 10 nights.
Answer this correct plz
Answers
We need to find the area of the hole. Let’s start off with the top rectangle. The sides are 11 and 3. Multiply the two numbers to get 33. Add the sqaure on the bottom. 3 x 2=6. Add the two shapes to get 39. The answer would be 39 ft 2.
I hope this helps!
3x2= 6
33+6=39
Bryce has to complete 100 minutes of writing every ten days. He writes for 10 minutes each day. What fraction of his writing requirement does Bryce complete in five days? Write in simplest form.
Answers
The percentage of his total requirement would be 50/100 = 0.5 = 50%.
After 5 days, he writes for 50 minutes because
10 x 5 = 50
50 is 1/2 of 100. He has done 1/2 of his requirement.
Hope this helps!
ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ? Enter your answer in the box. EF = in.
Answers
To determine the measure of side length EF, you must find the relationship between the 2 side lengths.
You should set these up as ratios of the length to the width. So, for ABCD, it is 30/45. Make this equal to x/75. If you simplify the first ratio to 2:3, you can then multiply by both numerator and denominator by 25 to get x = 25 in/ 75 in.
Another way is to use cross products with you proportion. 75 x 30 = 45x. Solve for x to get 50 inches.
What is the range of the graph? Please help me and thank you!
Answers
Step 1) Find the lowest point. The lowest point is (1,-4)
Step 2) Find the y coordinate of this lowest point. The y coordinate is y = -4
The range is the set of possible y output values of a function. The range in this case is the set of real numbers y such that [tex]y \ge -4[/tex] (y is greater than or equal to -4). Basically y can equal -4 or it can be larger than -4. It is not possible for y to be smaller than -4
Which one expression could represent the approximate population of the small town
Answers
6,000,000 ÷ 15 = 400,000
it would be 400,000 or 4x10^4
Mary's age is 5 times Jose's age. The sum of their ages is 18. How old is each?
Answers
Mary is 15 years old and Jose is 3 years old. This is determined by setting up a system of linear equations based on the relationship of their ages and solving for their individual ages.
Explanation:The question involves solving a system of linear equations to find the ages of Mary and Jose. Let's denote Mary's age as M and Jose's age as J. According to the problem, Mary is five times older than Jose, so we have M = 5J. Additionally, the sum of their ages is 18, which gives us a second equation: M + J = 18.
To solve for both ages, substitute the first equation into the second to get: 5J + J = 18. Combining like terms, we get 6J = 18. Dividing both sides by 6 gives us J = 3. This means Jose is 3 years old. To find Mary's age, we substitute J back into the first equation: M = 5(3), resulting in M = 15, so Mary is 15 years old.
To solve this problem, set up a system of equations where Mary's age is M and Jose's age is J. Use substitution method to solve the system. Mary is 15 years old and Jose is 3 years old.
Explanation:To solve this problem, we can set up a system of equations. Let's assume that Mary's age is M and Jose's age is J. We are given two pieces of information: 1) Mary's age is 5 times Jose's age, so we can write the equation M = 5J, and 2) the sum of their ages is 18, so we can write the equation M + J = 18.
Now we have a system of two equations with two variables:
M = 5JM + J = 18We can solve this system by substitution or elimination. Let's use the substitution method. From equation 1, we know that M = 5J. We can substitute this value of M into equation 2 and solve for J:
5J + J = 18
6J = 18
J = 3
Now that we know J, we can substitute this value into equation 1 to find M:
M = 5(3) = 15
Therefore, Mary is 15 years old and Jose is 3 years old.
The measure of ∠A is (12x-5)°. If x=9, find the measure of ∠A. Then classify the angle.
Answers
Given:
[tex] \angle A=(12x-5)^{\circ}\\ \\ x=9 [/tex]
Solution:
Substitute 9 for x in the expression for angle A.
[tex] \angle A=12(9) -5=108-5=103^{\circ}\\ \\ [/tex]
An obtuse angle is an angle of greater than 90° and less than 180°, so..
[tex] \angle A \; is \; equal \; to \; 103^{\circ} \; and \; it \; is \; an \; Obtuse \; Angle! [/tex]
The top of a hill rises 77 ft above checkpoint 1. What is the altitude of the top of the hill? Checkpoint 1 is -173 ft above sea level.
Answers
Riley road his bike for 360 minuets. If he traveled 2 miles per hour. How many miles did he travel
Answers
so just multiply 6 times 2 which equals 12
riley traveled 12 miles per hour
Tristan’s fish is 1/2 yard long, 1/6 yard wide, 1/3 yard high. What should the side lengths of each cubic block used to find the volume be?
Answers
1/2 x 1/6 x 1/3= 1/36
The volume is 1/36
Answer:
The answer is 1/6 yard
Step-by-step explanation:
The length, width, and height of a cube are equal. Each cubic block must have the same length, width, and height:
Length of tank= 1/6 yard = 1/6 yard = 3 x 1/6 yard
Height of tank: 2/6 yard = 2 x 1/6 yard
width of tank= 1/6 yard
Because the length and height of the tank are multiples of the width, the length of each cubic block should be equal to the width of the tank:
= 1.6 yard
3x^2 -9x = 0 Factor and use the zero product property to solve.
Answers
x=3 is correct I believe
3x(x - 3) = 0
x(x - 3) = 0
x = 0 or x - 3 = 0
x = 0 or x = 3
Can someone help me solve number 27?
Answers
90x90=8100
Hope this helps! :)
A rectangular prism has a length of 412 millimeters, a width of 412 millimeters, and a height of 6 millimeters. Sally has a storage container for the prism that has a volume of 143 cubic millimeters. What is the difference between the volume of the prism and the volume of the storage container? Enter your answer in the box as a simplified mixed number or a decimal.
Answers
Volume of the prism= 1018464
Then just subtract
Answer:
21.5
Step-by-step explanation:
took test 100% 4.08 Quiz: Finding the Volume of Rectangular Prisms and Problem Solving
work out 50% of £60
needed asap
Answers
what is the volume of a shpere when the diameter is 6cm?
Answers
In this case we need to find the radius by dividing the diameter by 2.
radius = 6/2 = 3
Volume:
4/3(3.14)(3)³ = 113.04 cm³
The volume of the sphere with a diameter of 6 is 113.04 cm³
Final answer:
To find the volume of a sphere with a diameter of 6 cm, first determine the radius, which is 3 cm, and then use the formula V = (4/3)πr³ to calculate the volume, resulting in approximately 113.097 cm³.
Explanation:
The volume of a sphere is calculated using the formula V = (4/3)πr³, where V represents the volume and r is the radius of the sphere. When the diameter of the sphere is given as 6 cm, the radius is half of that, which is 3 cm. Therefore, substituting the radius into the formula yields:
V = (4/3)π(3 cm)³ = (4/3)π(27 cm³) = 36π cm³
This results in a volume of approximately 113.097 cm³ (since π is approximately 3.14159).
Someone help pretty please!
Answers
y > (2/3)x + 1
The boundary line is the equation y = (2/3)x + 1 which can be found through the slope formula to get m = 2/3. Then you use one of the two points on the line to find b = 1.
The equal sign in y = (2/3)x + 1 changes to a "greater than" sign to indicate two things
A) The shaded region is above the boundary line
B) The boundary line itself is a dashed line to indicate "no solution points on this line"
Find the area of the following circle. ( = 3.14; round answer to the nearest whole number). Circumference = 120 cm. (Hint: Find r from C = 2r (round r to tenths); then find area). Area = cm2
Answers
==> 120 = 2*pi*r
[tex] r = \frac{120}{2\pi} = 19.1 [/tex]
[tex] A = \pi r^{2} = 19.1^{2}\pi = 1145.5 cm^{2}[/tex]
Answer:
Area of circle is 1145.50 cm²
Step-by-step explanation:
Given : Circumference of circle = 120 cm
We have to find the area of the given circle.
Consider the given circle
We know circumference of circle = [tex]2\pi r[/tex]
Thus, [tex]120=2\pi r[/tex]
Put π = 3.14
We have,
[tex]120 =2\times 3.14\times r[/tex]
Divide both sides by 6.28, we have,
r = 19.1 cm
Now, area of circle = [tex]\pi r^2[/tex]
Put r = 19.1
We have
Area of circle = 1145.50 cm²
Thus, Area of circle is 1145.50 cm²
What will be the location of T in the image trapezoid
Answers
The points plotted below are on the graph of a polynomial. In what range of x-values must the polynomial have a root?
Check all that apply.
A. 3 to 4
B. 5 to 6
C. 0 to 1
D. -1 to -2
E. 2 to 3
F. 1 to 2
Answers
Find the unknown length x in each right triangle ,to the nearest tenth.please help
Answers
The following are the value of the unknown length x to the nearest tenth;
9. x = 9.0
10. x = 16.3
11. x = 54.1
12. x = 46.7
What is the value of the unknown length?
9.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 37° = 53°
cos 53° = x/15
cross product
15 × cos 53° = x
15 × 0.601815023152048 = x
x = 9.0272
Approximately, 9.0
10.
cos θ = Adjacent / Hypotenuse
cos 53° = x/27
cross product
27 × cos 53° = x
27 × 0.601815023152048 = x
x = 16.25
Approximately, 16.3
11.
cos θ = Adjacent / Hypotenuse
cos 75° = 14/x
cross product
x × cos 75° = 14
x = 14/cos 75°
x = 14/0.258819045102520
x = 54.1
12.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 24° = 66°
cos 66° = 19/x
cross product
x × cos 66° = 19
x = 19/cos 66°
x = 19/0.406736643075800
x = 46.7132
Approximately,
x = 46.7
Help me please! Given the equation 8x=4y+16 generate a plan to rewrite it in slope intercept form
Answers
Make y the subject
4y = 8x - 16
y = 2x - 4
Slope intercept form: y = 2x - 4
A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number less than 10 is selected? Enter your answer as a fraction, in simplest form, in the box. P(< 10) =
Answers
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
P=size of the event space/size of the sample space
in this problem
size of the sample=9-------> set. {2, 4, 6, 9, 16, 44, 51, 60, 78}
size of the event space=4---->number less than 10--> {2, 4, 6, 9}
P=4/9
the answer is
P(< 10) = 4/9
URGENT 30 POINTS! Solve. {y=x−75x+2y=7 Use the substitution method.
Answers
5x + 2y = 7 ------ (2)
Sub (1) into (2):
5x + 2(x -7) = 7
5x + 2x - 14 = 7
7x - 14 = 7
7x = 7 + 14
7x = 21
x = 3 ----- -sub into (1)
y = x - 7
y = 3 - 7
y = -4
Ans: x = 3, y = -4
Here is your answer, my good sir, or maiden.
PLS HELP!
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer.
Part B: If (7^0)^x = 1, what are the possible values of x? Explain your answer.
WILL GIVE BRAINLIEST
Answers
Part A: The value of x is 0.
Part B: X can be any real number.
In Part A, you have to first evaluate 7^2. This is 49. Now, write the equation 49^x = 1. We know that if you raise any number to 0, then the answer is 1.
In Part B, you have to first evaluate 7^0, that is 1. Now, we have the equation 1^x = 1. In this case, 1 raised to any exponent is still only 1. Imagine 1^17, this would be 1 times itself 17 times or just 1.
Therefore any number will work in Part B.