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4 years ago

9

Write an equation in slope-intercept form of the line through point P(8,2) with slope 4

1 answer:

nata0808 [166]4 years ago

4 0

Hello!

Firstly, we need to know what the slope-intercept form is. Slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.

Our goal here is to find the y-intercept. To find b, we will substitute the slope and the given ordered pair into the slope-intercept equation and solve algebraically.

y = mx + b (substitute the slope and point P)

2 = 2(8) + b (multiply)

2 = 16 + b (subtract 16 from both sides)

b = -14

Therefore, the equation is y = 2x - 14.

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The distance between Eagle Lake and Swallow Lake on a map is 9 cm. The scale of the map is 4 cm = 2 km.

Sedbober [7]

Answer:

4½ km

Step-by-step explanation:

2 cm= 1 km

1 cm= ½ km

4cm×2km = 8cm

8 cm (4 km) + 1 cm (½ km) = 9 cm

9 cm/ 4 ½ km

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3 years ago

Identify the point on the number line for each number

olchik [2.2K]

First step is to make those fractions into Decimals by dividing then create a number line. and label each decimal least to greatest

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3 years ago

Geometry.Find the indicated side of the triangle. Include a clear answer and description if possible

rosijanka [135]

In this problem we are given a right triangle with 45 degree angle. We know that the sum of a triangle's angles needs to be equal to 180 degrees.

When we subtract 90+45 from 180 we got 45. That means we have an isoceles triangle.

According to the Pythagorean Theorem, $a^{2} +b^{2} =c^{2}$ .

When we plug in the numbers we get: $a^{2} +b^{2} =10^{2}$

Because we know that a = b, we can write this as: $a^{2} +a^{2} =10^{2}$ or $2a^{2} =10^{2}$

Simplify: $\frac{2a^{2}}{2} =\frac{100}{2}$ , then $a^{2} =50$

Take the square root: $\sqrt{a^{2}} =\sqrt{50} =>a=5\sqrt{2}$

So, B is $5\sqrt{2}$

To find it faster we have a formula for this: "If a right triangle has 2 equal angles, the hypotenuse is equal to $\sqrt{2}$ times the leg."

Vice-versa: leg × $\sqrt{2}$ = hypotenuse or leg = hypotenuse / $\sqrt{2}$

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3 years ago

A certain brand of coffee comes in two sizes. A 10.15-ounce package costs 2.98. A 27.8 -ounce package costs 8.99. Find the unit

never [62]

Answer:

Size 2 with 3.1 units price

Step-by-step explanation:

Size 1:

A 10.15-ounce package costs 2.98.

Units price of size 1 = 10.15 / 2.98

= 3.4060

Approximately 3.4

Size 2:

A 27.8 -ounce package costs 8.99.

Units price of size 2 = 27.8 / 8.99

= 3.0923

Approximately 3.1

The best size which is better buy based on unit price is size 2 with 3.1 units price

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3 years ago

Can someone help me pleaseeee

aliya0001 [1]

Answer:

For 20 tickets its 35 dollars

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For r tickets its 140 dollars

Step-by-step explanation:

3 0

3 years ago