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Harrizon [31]
2 years ago
5

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

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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:

<u><em>The complete question is</em></u>

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

so

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

we have that

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

so

x=2y ----> equation B

substitute equation B in equation A

2y+y=180

y=60^o

so

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

so

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.

<u>Outcome 1: all boys</u>

boy  boy  boy  boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 2: first child is a girl, all others are boys</u>

girl   boy   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 3: second child is a girl, all others are boys</u>

boy   girl   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 4: third child is a girl, all others are boys</u>

boy   boy   girl   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 5: fourth child is a girl, all others are boys</u>

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<br> 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
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