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4 years ago

Name a diameter of P.

Mathematics

1 answer:

jek_recluse [69]4 years ago

6 0

Segment MN.
As P is in between MN
Radius PM
Radius PN

Connect both radius, you have diameter MN

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Please help me out. I don’t understand this problem.. An equation of a line through (-7,-10) which is perpendicular to the line

nordsb [41]

Answer:

The Equation:

$y = \frac{1}{3}x - \frac{23}{3}$

The y-intercept:

$-\frac{23}{3}$

Step-by-step explanation:

Things you need to know:

Perpendicular mean opposite slope.

Need to know point slope form of a linear equation $y - y_1 = x(x - x_1)$

Ok, with that out the way, lets get started!

From the equation y = -3x + 2 we can see the slope, which is -3. We are asked to find an equation that is perpendicular to that slope so that means we need an opposite slope. To turn this slope to an opposite slope flip it and change the sign

-3 = $\frac{-3}{1} = \frac{1}{3}$

Now that we have our opposite slope, which is $\frac{1}{3}$ , we can find the equation the problem is asking us to solve.

We do this by using the point (-7, -10) and our new slope, which is $\frac{1}{3}$ and by using $y - y_1 = x(x - x_1)$

Insert our point and slope into $y - y_1 = x(x - x_1)$ and solve for y

$y - y_1 = x(x - x_1)$

$y - (-10) = \frac{1}{3}(x - (-7))$

$y + 10) = \frac{1}{3}(x + 7))$

Work on the right side of the = sign

Distribute 1/3 to x and 7

$y + 10 = \frac{1}{3}(x + 7))$

$y + 10 = \frac{1}{3}x + \frac{7}{3}$

Bring the 10 over to the right side by adding a -10

$y + 10 -10= \frac{1}{3}x + \frac{7}{3} - 10$

$y = \frac{1}{3}x + \frac{7}{3} - 10$

Do the math for $\frac{7}{3} - 10 = -\frac{23}{3}$

$y = \frac{1}{3}x - \frac{23}{3}$

We are done.

The Equation:

$y = \frac{1}{3}x - \frac{23}{3}$

The y-intercept:

$-\frac{23}{3}$

7 0

3 years ago

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kari74 [83]

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6 0

3 years ago

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Ivanshal [37]

A: linear term= how many books printed. Constant= initial 1700 books to start

B: R(y) = 7.50y - C(x)

6 0

3 years ago

Bags of sugar come in 3 sizes: Small bag: A 250 g bag costs 95p. Medium bag: A 500 g bag costs £1.80. Large bag: A 3 kg bag cost

azamat

Answer:

see below

Step-by-step explanation:

Small bag

95p / 250 g * 12/12 to get to 3 kg = 1140 p / 3000g =11.40£s/ 3 kgs

Medium bag

1.8£ / 500 g * 6/6 to get to 3 kg = 10.8£ / 3000g =10.80£/ 3 kgs

Large bag

3.7£ / 3 kg *

6 0

4 years ago

If AC = 15, solve for x. 2x+9 4x

sergij07 [2.7K]

Answer:

x=3.

Step-by-step explanation:

2x+9=15

2x=15-9

2x=6

x=3

4x=15

x=15/4

5 0

3 years ago