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2 years ago

Write the slope-intercept form of the equation of the line through the given point with the

Mathematics

1 answer:

Step2247 [10]2 years ago

3 0

Answer:

y = -2x - 2

Step-by-step explanation:

Slope intercept form of equation is y = mx + c

c is intercept and m is slope

given that slope is -2

m = -2

thus, equation in slope intercept will be

y = -2x + c

The given line passes through (-1,0)

y = -2x + c

lets substitute y = 0 and x = -1 in the given equation

0 = -2*-1 + c

0 = 2 + c

c = -2

Thus, the complete slope intercept equation after using the value of c as -2

we have

y = -2x - 2 answer

You might be interested in

Solve -3 = x + x + x.

kozerog [31]

-3 = x + x + x
-3 = 3x
-3/3 = x
x = -1

6 0

3 years ago

Read 2 more answers

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

The complete question is

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

$x+y=180^o$ ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

$x=2y$ ----> equation B

substitute equation B in equation A

$2y+y=180$

$y=60^o$

$x=120^o$

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

$b=12/2=6\ units$

The perimeter of the hexagon is given by the formula

$P=6b$

substitute

$P=6(6)=36\ units$

3 0

3 years ago

Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at most one daughter if she

JulijaS [17]

Answer: 0.3125.

Step-by-step explanation:

The chance of having a boy is 0.5,
the chance of having a girl is also 0.5.

Outcome 1: all boys

boy boy boy boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 2: first child is a girl, all others are boys

girl boy boy boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 3: second child is a girl, all others are boys

boy girl boy boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 4: third child is a girl, all others are boys

boy boy girl boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 5: fourth child is a girl, all others are boys

boy boy boy girl

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Therefore,

0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125

4 0

1 year ago

Will give brainliest Please help with problem, I don't understand it

Alex787 [66]

Answer:

111.375

Step-by-step explanation:

each triangle are equal to each other, it equals (b x h)/2

good luck and thanks for the brainliest!

6 0

2 years ago

How many 1/4 cups in 3 1/2 cups

seropon [69]

If you have 3 1/2 cups of something and you want to find how many 1/4 cups there are the you just need to divide 3 1/2 by 1/4
$3 \frac{1}{2} ÷ \frac{1}{4}$
the answer is 14, there are 14 1/4 cups in 3 1/2 cups.
hope I helped :)

6 0

3 years ago