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3 years ago

What is the slope and y intercept of the equation 6x - 1 = 3y - 10

Mathematics

1 answer:

-BARSIC- [3]3 years ago

3 0

your x value is your slope so the slope is 6 and your y intercept is the y value so your intercept is 3

hope this helps

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-3x-5=16<br> what is x in the equation

bezimeni [28]

Answer:

x=−7

Step-by-step explanation:

Step 1: Add 5 to both sides.

−3x−5+5=16+5

−3x=21

Step 2: Divide both sides by -3.

−3x/−3=21/−3

7 0

3 years ago

Read 2 more answers

PLS HELP!

wolverine [178]

Given:

Alexis has a rectangular backyard that is 50 yards by 55 yards.

She wants to build a fence that stretches diagonally from one corner to the opposite corner.

To find:

The length of the fencing she needs.

Solution:

We have,

Length = 50 yards

Width = 55 yards

We know that, the diagonal of a rectangle is

$Diagonal=\sqrt{length^2+width^2}$

$Diagonal=\sqrt{(50)^2+(55)^2}$

$Diagonal=\sqrt{2500+3025}$

$Diagonal=\sqrt{5525
}$

On further simplification, we get

$Diagonal=74.3303437$

$Diagonal\approx 74.3$

Therefore, the length of the required fencing is 74.3 yards.

8 0

2 years ago

If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?

kondaur [170]

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, $x_1=-8, y_1=-6, x_2=-4, y_2=-14$

$$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)$

$$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)$

$$P(x, y) =(-6, -10)$

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here, $x_1=-6, y_1=-10, x_2=-8, y_2=-6$

$r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}$

$r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}$

$r=\sqrt{(-2)^{2}+(4)^{2}}$

$r=\sqrt{20}$ units

The standard form of the equation of a circle is

$(x-a)^{2}+(y-b)^{2}=r^{2}$ , where (a, b) are center and r is the radius.

Here, center = (–6, –10) and $r=\sqrt{20}$

$(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}$

$(x+6)^{2}+(y+10)^{2}=20$

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

4 0

3 years ago

1) There are about 20 million people in New York State, with a total land area of about 47,000 square miles.

Nata [24]

Step-by-step explanation:

B. 426 people per square. mile

5 0

2 years ago

Help needed plzzzzzzzzzz!!!!!!!

alekssr [168]

Scientists need technology to figure out other stuff. For example, A computer is used to research.

3 0

3 years ago