find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet point is (2,13). D cornet point is (5,7).
Answers
Answer:
x -2y = -4
Step-by-step explanation:
The slope of the line between points C and D is ...
m = (y2 -y1)/(x2 -x1)
m = (7 -13)/(5 -2) = -6/3 = -2
The slope of the perpendicular line is the opposite reciprocal of this: -1/(-2) = 1/2. The point-slope equation of the desired line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -1 = 1/2(x -(-2))
We can rearrange this to standard form.
2y -2 = x +2 . . . . . multiply by 2
-4 = x -2y . . . . . . . subtract 2y+2
x -2y = -4 . . . . . . standard form equation of the desired line
Related Questions
How do you make a mixed fraction and write it out as a improper fraction?
Answers
Answer:
1) Multiply the whole number part by the fraction's denominator.
2) Add that to the numerator.
3) Then write the result on top of the denominator.
Step-by-step explanation:
Hope this helps!
Answer:
Explanation
|
Step-by-step explanation:
you you multiply the whole number by the denominator and then add the numerator to that number.
The dimensions of a trapezoid are halved.
a) How will the area be affected?
b) If the area of the original trapezoid is 28 cm?, then what will the area of the smaller
trapezoid be?
Draw or add images here
Answers
Answer:
a) area will be 1/4 of the original
b) 7 cm²
Step-by-step explanation:
a)Consider the equation for the area of a trapezoid:
A = 1/2(b1 +b2)h
Now, halve each of the dimensions:
A' = 1/2((1/2)b1 +(1/2)b2)((1/2)h)
A' = (1/4)(1/2(b1 +b2)h) = 1/4A
The area is multiplied by the square of the scale factor: (1/2)² = 1/4.
__
b)The area of the smaller trapezoid will be ...
A' = 1/4A = (1/4)(28 cm²) = 7 cm²
Order the numbers from least to greatest
Answers
Step-by-step explanation:
(| |) makes the number opposite
|10|=-10
|-3|=3
|0|=0
|-5.25|=5.25
Least to greatest
|10|, |0|, |3|, |5.25|
Let me know if there's any mistakes
find the rate of change
input 1 2 3 4 5
output 11 13 15 17 19
Answers
Answer:
2
Step-by-step explanation:
x-values in the table increase by 1, while y-values increase by 2. The rate of change is ...
m = slope = rate of change = (change in y)/(change in x) = 2/1 = 2
The rate of change is 2.
Answer:2
Step-by-step explanation:
Bidmass working out questions
Answers
Answer:
The answer will be 0
Step-by-step explanation:
Let me know Hope it helps
plss help me.......
Answers
Answer:
The slope
Step-by-step explanation:
Jenny does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 10 hours. She spends at most 12 hours doing cardiovascular work. She spends at most 7 hours on weight training. Let x denote the time (in hours) that Jenny spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
Answers
Check the picture below. Notice, we didn't go below 0 on the x-axis, assuming the x-axis is the hours, because she couldn't do -1hours, but the area is between 0 - 7 hours.
I NEED HELP!!
If f(x) = x 3/2 , then f ' (4) =
A. -6
b. -3
c. 3
d. 6
e. 8
Answers
Answer:
f(x)=x(3/2)
f(4)=4*3/2
6
Diets For You announced today that it will begin paying annual dividends next year. The first dividend will be $0.12 a share. The following dividends will be $0.15, $0.20, $0.50, and $0.60 a share annually for the following 4 years, respectively. After that, dividends are projected to increase by 4 percent per year. How much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent?
Answers
You will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.
Since Diets For You announced today that it will begin paying annual dividends next year, and the first dividend will be $ 0.12 a share, and the following dividends will be $ 0.15, $ 0.20, $ 0.50, and $ 0.60 a share annually for the following 4 years, After that, dividends are projected to increase by 4 percent per year, to determine how much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent, the following calculation must be performed:
8.5 = 0.12 100 = X 100 x 0.12 / 8.5 = X 1.41 = X
Therefore, you will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.
Learn more about maths in https://brainly.com/question/25989093
The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by
700W
the formula, or model, I=
where W= weight, in pounds, and H = height, in inches. Jerome is 70 inches tall. What weights will keep his body mass index
H2
between 20 and 28?
Answers
Using the BMI equation, it is found that weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.
The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:
[tex]BMI = \frac{703w}{h^2}[/tex]
In this problem:
Height of 70 inches, hence [tex]h = 70[/tex].For a BMI of 20 inches, the weight is:
[tex]BMI = \frac{703w}{h^2}[/tex]
[tex]20 = \frac{703w}{70^2}[/tex]
[tex]w = \frac{20 \times 70^2}{703}[/tex]
[tex]w = 139.4[/tex]
For a BMI of 28 inches, the weight is:
[tex]BMI = \frac{703w}{h^2}[/tex]
[tex]28 = \frac{703w}{70^2}[/tex]
[tex]w = \frac{28 \times 70^2}{703}[/tex]
[tex]w = 195.2[/tex]
Weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.
To learn more about the BMI, you can take a look at https://brainly.com/question/24457127
Solve for X
please help!
Answers
Answer:
x = 4
Step-by-step explanation:
17x+2 = 18x-2
4 = x
good luck
Answer:
x = 4
Hope you could understand.
If you have any query, feel free to ask.
Someone please help me!
Answers
40% of the plants in Marcy's garden are root vegetables. If 20 plants are root vegetables, how many plants are in Marcy's garden in all?
Answers
Answer:
dont do anything if im wrong but i thinks its 50 plants
Step-by-step explanation:
EWendy has $27 to buy seed for her birdfeeders. Each bag of seed costs $5.
How many bags of seed can she buy? Do not include units in your answer.
Answer here
SUBMIT
Answers
Answer:
5
Step-by-step explanation:
If Wendy has $27 to buy seeds, and each seed bag costs $5, then:
5 · 5 = 25
5 · 6 = 30
27<30
27>25
So, Wendy is able to buy 5 bags and remain with 2 dollars.
help plssssssssssssssssss
Answers
Elements that do not belong to a set belong to its
Answers
Answer:
What do you mean for this question?
Step-by-step explanation:
Give specific details
Use the distributive property to write an experssion that is equalent to 10+15x
Answers
Answer:
5(2+3x)
Step-by-step explanation:
5 x 2 = 10
5 x 3x = 15x
10+15x
(PEMDAS)
Answer:
Step-by-step explanation:
im a boy
(3x - 4x - 2 + 3x - 6 = 180
7x – 8 =
Answers
2x - 8 = 180
If we add 8 to both sides, we get
2x = 188
And that means x = 94
If we substitute this into the second equation, we get
7(94) - 8 = ?
7 x 94 is equal to 658
658 - 8 = 650
Select the two pairs of figures that are similar
Answers
Divide 63.5 ÷ 0.25 round the quotient to the nearest ten-thousandth
Answers
Answer:
254
Step-by-step explanation:
63.5 ÷ 0.25 =
= 63.5 ÷ 1/4
= 63.5 × 4
= 254
Answer: 254.
Help help help help math math
Answers
Answer:
a is 27354326 b is 13943y and c is 1937x
Step-by-step explanation:
Hi guys can u guys help me add 322 + 12
Answers
Answer:
334 is the answer
Step-by-step explanation:
you add them together
Answer:
334 is the right answer
Step-by-step explanation:
please mark me brainliest
HELP! ( MATH )
WILL GIVE BRAINILEST!
Question:
Graph the solution of the equation.
b – 5 = –8
Answers
Answer:
b = -3 so A is answer
good luck
Answer:
option C is the correct answer
After Arianna completed some work, she figured she still had 78.09 pictures to paint. If she completed another 34.23 pictures, how many pictures does Arianna still have to paint? Convert the mixed numbers into decimals before calculating the sum or difference.
Answers
Answer:
43.86
Step-by-step explanation:
that's da awnserrr
PLEASE HELP ME, ILL GIVE YOU BRAINLIEST
Answers
Answer:
3/2^3=3/8 and (-1/4)^2 = 1/16
Step-by-step explanation:
1. You know what 2^3 is, right? That's 2*2*2. 2*2 is 4, and then 4*2 is 8. So that is 3/8.
2. (-1/4)^2 is (-1/4)*(-1/4), right? So that is (-1*-1)/(4*4). Two negatives make a positive, so -1*-1=1. 4*4 is 16, so we have 1/16.
Genes are sections of DNA that code for a particular trait. Genes are?
Answers
Answer:
Genes are DNA transferred to off spring by parents
Answer:
Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.
Step-by-step explanation:
2. Find the equation of the perpendicular bisector of line PQ where the co-ordinates of P and Q are P (-2, 8) and Q (4,7)
Answers
Answer:
2y - 12x = 3
Step-by-step explanation:
gradient of line PQ= (7-8)/ 4+2
-1/6
gradient of perpendicular bisector of line PQ=
-1 ÷ -1/6
-1× -6
6
coordinates of the midpoint of line PQ
(-2+4)/2, (8+7)/2
(1, 15/2)
the perpendicular bisector passes through the midpoint of line PQ
Equation of the perpendicular bisector
y - 15/2 = 6(x - 1)
multiply through by 2
2y - 15 = 12(x - 1)
2y - 15 = 12x - 12
2y - 12x = 3
Which list of angle measures could be the angle measures of a triangle?
Answers
Answer:
D. 35, 60, 85
Step-by-step explanation:
All angles of a triangle have to add up to 180 degrees.
35+60+85 = 180
6 divided by x squared
Answers
Answer:
I think x should be equal to 0.
(g, 6) and (-5, -9)
Slope = 3/2
Answers
Answer:
g=5
Step-by-step explanation:
(-9)-(6) / (-5)-(g) = 3/2
3 x -(g+5) = 2 x -15
g+5=10
g=5
Answer:
g=15
Step-by-step explanation:
we first can substitute in (-5,-9) into the x and y variables in y=mx+b as well as the slope:
so we get:
-9=3/2(-5)+b
now lets solve for b:
3/2 x -5 = -15/2
-9=-15/2+b
now add the -15/2 on both sides of the eqaution:
b=-33/2
now lets substitute it back in:
y=3/2x-33/2
NOW lol substitute the 6 in to find g:
6=3/2g-33/2
solve from here to get
45/2=3/2g
multiply by 2 on each side
45=3g
divide both sides by 3:
g=15!!!!!!!!!!!!!!
I hope this helped sry it took long lol