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Georgia [21]
3 years ago
15

Slope. 31) through:(-1,-4). slope = -9 Please help

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0

Answer:

Step-by-step explanation:

y + 4 = -9(x + 1)

y + 4 = -9x - 9

y = -9x - 13

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Choose the best graph that represents the following systems of linear inequality.
kondor19780726 [428]

Answer:

C

Step-by-step explanation:

using the power of elemination,looking at the first equation,we singled out the top 2, now looking at the 2nd equation, we see the y intercept is 2 meaning it has to be graph c

7 0
2 years ago
Write a quadratic function in vertex form whose graph has the vertex
ELEN [110]

Answer:

y = \frac{1}{2}(x - 5)² - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (5, - 2), thus

y = a(x - 5)² - 2

To find a substitute (7, 0) into the equation

0 = a(7 - 5)² - 2

0 = 4a - 2 ( add 2 to both sides )

2 = 4a ( divide both sides by 4 )

a = \frac{2}{4} = \frac{1}{2}

y = \frac{1}{2} (x - 5)² - 2 ← in vertex form

4 0
3 years ago
the coordinates of the vertices of a rectangle in order are (5,2), (-1,4), (-2,1) and (4,-1). what is the perimeter of the recta
Anna [14]

Answer:

19 units

Step-by-step explanation:

Plot points  A(5,2), B(-1,4), C(-2,1) and D(4,-1) on the coordinate plane. Find lengths of all sides as distances between two points:

AB=\sqrt{(-1-5)^2+(4-2)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\BC=\sqrt{(-2-(-1))^2+(1-4)^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units\\ \\CD=\sqrt{(4-(-2))^2+(-1-1)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\DA=\sqrt{(5-4)^2+(2-(-1))^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units

The perimeter of the rectangle ABCD is

AB+BC+CD+DA=2\sqrt{10}+\sqrt{10}+2\sqrt{10}+\sqrt{10}=6\sqrt{10}\approx 18.97\ units\approx 19\ units

3 0
3 years ago
Find the 22nd term of the arithmetic sequence whose common difference is d=2 and first term is a1 = -25
Inessa [10]

Answer:

17

Step-by-step explanation:

an=a1+(n-1)d

a22=-25+21(2)

a22=17

6 0
3 years ago
Read 2 more answers
3a <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3a%20%2B%20a%20%7B%7D%5E%7B2%7D%20%7D%7Ba%7D%20" id="TexFormula1" title="
egoroff_w [7]

Answer:

(3+a)

Step-by-step explanation:

3a + a^2

-------------

a

Factor out an a in the numerator

a(3+a)

-------------

a

Cancel like terms

(3+a)

6 0
2 years ago
Read 2 more answers
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