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3 years ago

PLEASE HELP I NEED HELP ASAP

Mathematics

1 answer:

Slav-nsk [51]3 years ago

5 0

Answer:

$y=-x+15$

Step-by-step explanation:

Slope-intercept form is written as $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept.

Any line perpendicular to a given line with slope $m$ has a slope of $-\frac{1}{m}$ . Therefore, the slope of a line perpendicular to $y=x+12$ is $-\frac{1}{1}=-1$ .

We can now plug the coordinate it passes through into our slope-intercept form equation to solve for the y-intercept:

$3=-1(12)+b,\\b=15$

Therefore, the equation of the line that is perpendicular to $y=x+12$ and passes through the coordinates $(12,3)$ is $\fbox{$y=-x+15$}$ .

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A baker makes 30 cupcakes. He makes 3 times as many cupcakes as his friend Sarah. How many cupcakes does Sarah make?

Kazeer [188]

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3 years ago

A wire that is 48 centimeters long is shown below.

torisob [31]

Answer:

The sides of the square measure 6 cm

Step-by-step explanation:

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4 years ago

Tom, Mary and Bill are aged 10,12 and 15 years respectively. They share 259 euros in the same ratio as their ages. Find how much

tigry1 [53]

Answer:

70 , 84 , 105

Step-by-step explanation:

sum their ages , 10 + 12 + 15 = 37

divide the amount by this sum to find the value of one part of the ratio.

259 ÷ 37 = 7 ← value of 1 part of the ratio , then

10 parts = 10 × 7 = 70 euros ← Tom's share

12 parts = 12 × 7 = 84 euros ← Mary's share

15 parts = 15 × 7 = 105 euros ← Bill's share

7 0

2 years ago

I need the answer ASAP! Please help me!

masha68 [24]

Answer:

Please check the explanation.

Step-by-step explanation:

Determining the length of BC

From the diagram, it is clear that

The point B is located at (-8, 10) and point C is located at (8, 10)

Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16

Thus, the length of BC = 16 units

Determining the length of CD

Given

C (8, 10)

D (2, -2)

The distance between C(8, 10) and D(2, -2)

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$CD=\sqrt{\left(2-8\right)^2+\left(-2-10\right)^2}$

$=\sqrt{6^2+12^2}$

$=\sqrt{36+144}$

$=\sqrt{180}$

$=\sqrt{36\times 5}$

$=6\sqrt{5}$

Thus, the length of CD $=6\sqrt{5}$ units

Determining the length of ED

Given

E (-8, -4)

D (2, -2)

The distance between E(-8, -4) and D(2, -2)

$ED=\sqrt{\left(2-\left(-8\right)\right)^2+\left(-2-\left(-4\right)\right)^2}$

$=\sqrt{10^2+2^2}$

$=\sqrt{100+4}$

$=\sqrt{104}$

$=\sqrt{26\times \:4}$

$=2\sqrt{26}$

Thus, the length of ED $=2\sqrt{26}$ units

Determining the length of EB

From the diagram, it is clear that

The point E is located at (-8, -4) and the point B is located at (-8, 10)

Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14

Thus, the length of EB = 14 units

4 0

3 years ago