use the coordinates of the labeled points to find a point-slope equation of the line. (3,-4)
Answers
Answer:
slope=-3
y=-3x+5
Step-by-step explanation:
use two given points (3,-4)(0,5)
5- -4= 9
0-3=-3
9/-3=-3
Answer: [tex]y+4=-3(x-3)[/tex]
Step-by-step explanation:
The point-slope equation of a straight line is:
[tex]y-y_{1}=m(x-x_{1} )[/tex]
where m is the slope and [tex](x_{1}, y_{1} )[/tex] are the coordinates of a point in the line.
So, to find the equation, the firs step is to find the slope. We can see in the graphic that the line intercepts the y axis at the point (0, 5), so we're going to use that and the other given point to find the slope:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} =\frac{-4-5}{3-0} =\frac{-9}{3}=-3[/tex]
Then, you simply substitute the slope and the coordinates of the point and you get the point-slope equation:
[tex]y-(-4)=-3(x-3)\\y+4=-3(x-3)[/tex]
Related Questions
which of the following is not true in a dialation?
Answers
( 2 ) The image and preimage are different shapes.
EXPLANATION:
The statement which is false regarding a dilation is that the image and preimage are different in shapes. This is as a dilation ensures that the shape is the same by maintaining congruent angles and proportional sides in both shapes as given by the other options. Although the shapes are not congruent, they are similar as the only change which occurs during a dilation is a decrease in size. No changes are made to its shape.
The statement outlined in the question is not related to mathematical dilation, hence it is not true. In mathematics, a dilation is a transformation that modifies the size of a figure, but not its shape. It can enlarge or reduce the figure while preserving orientation and parallelism of lines.
Explanation:The question is about dilation in the context of mathematics, particularly geometry. Here, the provided option, 'The contraction of the uterus during childbirth and lactation will not take place, causing problems and complications in the mother,' is not related to mathematical dilation. So, the statement is not true in a dilation.
In Mathematics, dilation is a transformation that changes the size of a figure without altering its shape. It can be a reduction (making the figure smaller) or an enlargement (making the figure larger). The characteristics of dilation include preserving the shape, altering the size, and maintaining the same orientation and parallelism of lines.
Learn more about Dilation here:https://brainly.com/question/29811168
#SPJ3
The number p and −1.2 are additive inverses. Drag and drop −1.2 and p to their correct positions on the number line. Drag and drop the label “Sum” to the sum of −1.2 and p.
Answers
Answer:
Value of p is 1.2.
Now drag and drop the values as per explanation.
Step-by-step explanation:
Additive inverse of any number means a number which can be added to the original number to get
Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.
Given number p is additive inverse off -1.2 so p must be 1.2.
Sum will obviously be 0.
So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.
which is the shorter drive in hours? Allentown to Gettysburg at 55 mph Philadelphia to Gettysburg at 65 mph Reading to Gettysburg at 40 mph
Answers
Answer:
Philadelphia to Gettysburg.
Step-by-step explanation:
For Allentown to Gettysburg, the drive is
1hour= 55m
1m = [tex]\frac{1}{55}[/tex]hour
= 0.018 hour
For Philadelphia to Gettysburg, the drive is
1 hour = 65m
1m = [tex]\frac{1}{65}[/tex]hour
= 0.015 hour
For Reading to Gettysburg, he drive is
1 hour= 40m
1 m = [tex]\frac{1}{40}[/tex]hour
= 0.025 hour
Therefore, Philadelphia to Gettysburg has shorter drive in hours that is 1 metre is travelled in 0.015 hours
-5x+7y=11
-5x+3y=19
Elimination
Answers
[tex]\left\{\begin{array}{ccc}-5x+7y=11&\text{change the signs}\\-5x+3y=19\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x-7y=-11\\-5x+3y=19\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-4y=8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad \boxed{y=-2}\\\\\text{Upt the value of y to the second equation:}\\\\-5x+3(-2)=19\\-5x-6=19\qquad\text{add 6 to both sides}\\-5x=25\qquad\text{divide both sides by (-5)}\\\boxed{x=-5}\\\\Answer:\ \boxed{x=-5\ and\ y=-2\to(-5,\ -2)}[/tex]
Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600 item is $42, what is the sales tax on a $930 item?
Answers
Step-by-step work:
1.Set the ratio
[tex] \frac{600}{42} = \frac{930}{x} [/tex]
2.Cross-multiply
[tex]600x = 930(42)[/tex]
[tex]600x = 39060[/tex]
3.Divide to single out x
[tex]600x \div 600 = 39060 \div 600[/tex]
[tex]x = 65.10[/tex]
What is 79,531 using number words?
Answers
Hi there!
The following number in words will be,
Seventy nine thousand, five hundred thirty one.
Hope this helped!~
Hello!
79,531 is pronounced seventy-nine, thousand, five hundred and thirty-one.
Hope this helps! ~Pooch ♥
Either Table L or Table M shows a proportional relationship. (Table L) - X -1,0,1,2 and Y= -2,0,2,4. (Table M- )X= -1,0,1,2, and Y= -4,0,6,9. Plot the points from the table that shows a proportional relationship.
Answers
Answer: Table L shows a proportional relationship.
Step-by-step explanation:
in table L, the ordered pairs are: (-1,-2),(0,0),(1,2),(2,4)
in table M, the ordered pairs are: (-1,-4),(0,0),(1,6),(2,9)
Notice that in table L, the increment for x values is consistent which is adding 1 and the increment for y values is consistent too which is adding 2. That's why table L is proportional.
In table M, the increment for x values is 1 but there is no consistent increment for y values.
On a coordinate grid, point T is at (2, −4) and point S is at (2, 6). The distance (in units) between points T and S is ______. (Input only whole numbers, such as 2.)
Answers
Answer:
10
Step-by-step explanation:
calculate the distance using the distance formula
d = √( x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (2, 6)
d = [tex]\sqrt{(2-2)^2+(6+4)^2}[/tex] = [tex]\sqrt{0+100}[/tex] = [tex]\sqrt{100}[/tex] = 10
1.2357 is a whole number or interger number?
Answers
Answer:
It is a terminating decimal.
Step-by-step explanation:
n+6=38 what is the answer to this problem
Answers
Answer:
32
Step-by-step explanation:
38-6=32
Hi there! :)
Answer:
n=32
*The answer must have a positive sign.*
Step-by-step explanation:
Lesson: Addition/Subtraction/Multiplication/ and Division property of equalityFirst, you subtract by 6 from both sides of an equation.
n+6-6=38-6
Then, you subtract by the numbers from left to right.
38-6=32
Final answer is n=32
I hope this helps you!
Have a nice day! :)
Thanks!
-Charlie
:D
Answer each question. What is 35% of 90x? What percent of 16x is 9x?
Answers
Answer:
35% of 90x = 31.5
16x is 9x =
Step-by-step explanation:
35 /100 x 90 = 31.5
Answer:
31.5x; 56.25%
Step-by-step explanation:
For the first question:
We can write 35% as 0.35; this is because 35% = 35/100 = 0.35. Taking a percentage of a quantity means we multiply; this gives us
0.35(90x) = 31.5x
For the second question:
To find the percentage the second quantity is of the first one, we divide:
9x/16x = 0.5625
This is the same as 56.25%.
the distance between earth and the moon is about 238,900 miles. round this number to the nearest ten thousand
Answers
Answer:
240000...............................
Which of the following is closest to 19.9 times 199?
A. 4000 B. 3990 C. 3980 D. 3970 E. 3960
you only get 30 seconds for this question so no straight out multiplying! (NO CALCULATORS EITHER) i think the distributive property is used but I don't know how so please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
E 3960
Step-by-step explanation:
Round 19.9 and 199 to 20 and 200
20*200 = 4000
Now subtract 20
20 * (200-1) = 4000-20
20 * 199 = 4000-20
20*199 = 3980
.1 of 200 is 20
so subtract 20
(20-.1) *200=3980-20
19.9 *200 =3960
(20-.1) *(200-1) = 3960
A breakfast cereal is available in four different sizes. Which is the best buy ?
A. 10-ounce box for $2.80
B. 16-ounce box for $3.75
C. 24-ounce box for $4.50
D. 30-ounce box for $5.25
Answers
Answer:
D. 30-ounce box for $5.25 is the best buy
Step-by-step explanation:
To determine which is the better buy, we need to determine the unit rate for each. We will take the price and divide by the number of ounces. The best price is the smallest price per ounce.
A. 10-ounce box for $2.80
$2.80/10 = $.28 per ounce
B. 16-ounce box for $3.75
$3.75/16 = $.234375 per ounce
Rounding to the nearest cent
$.23 per ounce
C. 24-ounce box for $4.50
$4.50/24 = $.1875 per ounce
Rounding to the nearest cent
$.19 per ounce
D. 30-ounce box for $5.25
$5.25/30 =$.175 per ounce
Rounding to the nearest cent
$.18 cent per ounce
How do I do these??? I need help ASAP!!!
Answers
[tex]7n + 2 = 4n + 17[/tex]
becomes
[tex]7n - 4n = - 2 + 17[/tex]
A school paid $45.00 for 8 toothbrushes and 4 tubes of toothpaste. If each tube of toothpaste cost $4.50, how much did each toothbrush cost? Round to the nearest cent.
Answers
Answer:
$3.38
Step-by-step explanation:
The formula is 45= 8x + 4t. Each tube of toothpaste is 4.50, so times four is 18. So they spent 18 dollars on toothpaste, and the rest on toothbrushes. There are 27 dollars left, and 8 toothbrushes, so divide and each toothbrush is $3.375, or $3.38
Answer:
$3.38 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
4.50(4) + 8x = $45.00
$18 + 8x = 45.00
8x = 45 - 18
8x = 27
x = 27 ÷ 8
x = 3.375 rounded to nearest cent is $3.38
What total distance will be covered by traveling at 50 mph for 90 minutes?
Answers
Answer:
50 mph = 50 miles per 60 minutes = 50*105/60 miles in 105 minutes = 87.5 miles.
Step-by-step explanation:
At a constant speed of 60 mph, you are traveling 1 mile per minute. It will take you 50 minutes to travel 50 miles.
hope this helps
Find the slope between (1, 1) and (8, 7)
Answers
Answer:
6/7
Step-by-step explanation:
Change in y over the change in x.
7 - 1 over 8 - 1 =
6 over 7
6/7
The graph of a system of equations with different slopes will have no solutions. Always Sometimes Never
Answers
Answer:
Never
Step-by-step explanation:
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Thats what my teacher tought me
Find the value of x when the expression 6x+9 equals 3x+6
Answers
Answer: 1=x
Step-by-step explanation:
6x+9=3x+6 -6 -6
6x+3=3x -6x -6x 3=-3x 3 divided by 3 is one 1=x I hope this helps sorry if its incorrect i havent done this in a while
Answer:
x = -1
Step-by-step explanation:
Subtract 3x from both sides
6x + 9 - 3x = 3x + 6 - 3x
3x + 9 = 6
Subtract 9 from both sides
3x + 9 - 9 = 6 - 9
3x = -3
Divide both sides by 3
3x/3 = -3/3
x = -1
Un circulo tiene un radio 3 yardas ,¿cual es el área ?
Answers
Answer:
28.27 yardas^2
Step-by-step explanation:
Area = pi r^2
= pi * 3^2
= 9 pi
or 28.27 yardas^2
PLEASE HELP! 49 POINTS!
Show work and explain! I don't get it.
Answers
Answer:
B
Step-by-step explanation:
-6 10n to the 5 11n to the 3
you put the ones that are alike to gether. so -3 and -3 together and 5n to the 3rd and 6n to the third together and 3n to the fifth and 7n to the fifth together
Given : (-3 + 3n⁵ + 6n³) + (7n⁵ + 5n³ - 3)
Rearrange respective Like terms as they are a Family, They should be together.
In the Given Expression, The Like terms are :
✿ 3n⁵ and 7n⁵
✿ 6n³ and 5n³
✿ -3 and -3
After Rearranging, The Given Question looks like :
✿ (3n⁵ + 7n⁵) + (6n³ + 5n³) - 3 - 3
Now, Add the Like Terms as they belong to the same Family
⇒ 10n⁵ + 11n³ - 6
someone help me plz
Ramon bought a bicycle for $478. The value of the bicycle is expected to decrease at a rate of 6.5% each year. Which function equation represents the value of the bicycle after t years? f(t)=478(0.935)^t
f(t)=478(0.065)^t
f(t)=478(6.5)^t
f(t)=478(1.065)^t
Answers
Answer:
Correct choice is A
Step-by-step explanation:
Note that 6.5% is 0.065 as decimal.
Ramon bought a bicycle for $478. The value of the bicycle is expected to decrease at a rate of 6.5% each year, then the function that represents the situation is
[tex]y=478\cdot (1-0.065)^t=478\cdot (0.935)^t,[/tex]
where t is time (in years).
Options C and D are false, because functions are increasing, option B is false, because this function represents how much will the value decrease.
Answer:
The correct answer is A
f(t)=478(0.935)^t
Ming has a goal to jog 4 1/2 miles each day. On Monday she jogged 5 9/16 miles. How many much if she exceed her goal for that day?
Answers
Answer:
Ming exceed [tex]1\frac{1}{16}[/tex] miles her goal for that day
Exep-by-step explanation:
[tex]5\frac{9}{16}- 4\frac{1}{2} =5\frac{9}{16} -4\frac{8}{16}=1\frac{1}{16} miles[/tex]
6x-5y=17 solve the system
Answers
-6x -6x
__________
-5y= -6x+17
______________
-5
y=
[tex] \frac{6}{5 } x + \frac{17}{ - 5} [/tex]
Determine the measure of q in sin q =0.4848 to the nearest degree.
Answers
Answer:
see explanation
Step-by-step explanation:
there are 2 possible values for q
Since sin q > 0 then q is in the first or second quadrant
sin q = 0.4848, then
q = [tex]sin^{-1}[/tex](0.4848) ≈ 29° ← first quadrant
or q = 180° - 29° = 151° ← second quadrant
What is the value of the expression?−29−(−13÷3/5)Enter your answer, as a fraction in simplest form, in the box.
Answers
Answer:
Answer in simplest fraction form is -22/3
Step-by-step explanation:
We have given,
-29 - (-13 ÷3/5)
we can simplify this as:
i.e -29 -(-13/(3/5))
or -29 - (-13 ×5÷3)
or -29 + 65/3
or (-87 + 65 )/3
or -22/3
hence we get fraction in simplest form as -22/3 .
Round 452 to the nearest hundred
Answers
Answer:
500
Step-by-step explanation:
The grill was regularly priced at $58, but Jared had a coupon for 25% off. How much money did Jared save by using his coupon?
Answers
Answer:
He saves $14.50
Step-by-step explanation:
We can find the discount by multiplying the price by the percentage off
58* .25 = 14.50
He saves $14.50
Answer:
14.50
Step-by-step explanation:
You are not asked for the final price. You are asked for the amount saved. Don't confuse the two.
If he gets 25% off then you multiply (25/100) times 58 to get the amount saved.
(25/100) * 58 = 14.50
So his reduction is $14.50
What is the difference in temperature between February and may?
A. 61
B.13
C.3
D.4