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Slav-nsk [51]
3 years ago
13

Write a quadratic function in vertex form whose graph has the vertex (−5, −1) and passes through the point (−2, 2)

Mathematics
1 answer:
denis23 [38]3 years ago
3 0
This is your perfect answer

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If CX = 5 units, then DZ = ___ units
gulaghasi [49]

Answer:

DZ=4\ units

Step-by-step explanation:

we know that

If CD is parallel to XZ

then

Triangle XYZ is similar to Triangle YCD

therefore

The ratio of their corresponding sides are equal

\frac{XY}{CY}=\frac{ZY}{YD}

we have

CX=5\ units, CY=25\ units, YD=20\ units,

XY=CX+CY

XY=5+25=30\ units

ZY=YD+DZ

ZY=20+DZ

substitute the values

\frac{30}{25}=\frac{20+DZ}{20}

20\frac{30}{25}={20+DZ}

24={20+DZ}

DZ=4\ units

5 0
3 years ago
Read 2 more answers
a women buys 3 dozen eggs. Later ,she discovers that x of them are broken. How many eggs are not broken​
Art [367]

Answer:

<h2><u><em>36 - x</em></u></h2>

Step-by-step explanation:

a women buys 3 dozen eggs. Later ,she discovers that x of them are broken. How many eggs are not broken​

3 * 12 - x =

36 - x

8 0
2 years ago
If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
VARVARA [1.3K]

Answer:

k = 5

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 20 when x = 4, then

20 = 4k ( divide both sides by 4 )

5 = k

3 0
3 years ago
Read 2 more answers
A triangle has sides with lenghts of 2.5, 6 and 7. Is it a right triangle? Explain why it is or why its not a right triangle.
Mademuasel [1]

A right-angled triangle obeyes the Pythagoras theorem. This theorem states that the square of the longest side is equal to the sum of the square of the other two sides

so we will run this test on the triangle in the question

Longest side = 7

other sides = 2.5 and 6

\begin{gathered} 7^2=2.5^2+6^2 \\ 49\text{ = 6.25 + 36} \\ 49\text{ }\ne\text{ 42.25} \\ So\text{ since both sides of the equation are not equal} \\ \text{This is not a right-angled triangle} \end{gathered}

8 0
1 year ago
20 points! Simplify: 2y(2y+3yx^{2} )-y^{2} (3-y) please show work!
arlik [135]

Answer:

8x2y - 6x2 - 8xy2 - y2

Step-by-step explanation:

Equation at the end of step  1  :

 (((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-(3•(y2)))-((((x2)+(y2))+(8x•(y2)))-3y2)

Step  2  :

Equation at the end of step  2  :

 (((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-(3•(y2)))-((((x2)+(y2))+23xy2)-3y2)

Step  3  :

Equation at the end of step  3  :

 (((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-3y2)-(x2+8xy2-2y2)

Step  4  :

Equation at the end of step  4  :

 (((((5•(x2))•y)-(5•(x2)))+3x2y)-3y2)-(x2+8xy2-2y2)

Step  5  :

Equation at the end of step  5  :

 (((((5•(x2))•y)-5x2)+3x2y)-3y2)-(x2+8xy2-2y2)

Step  6  :

Equation at the end of step  6  :

 ((((5x2•y)-5x2)+3x2y)-3y2)-(x2+8xy2-2y2)

Step  7  :

Final result :

 8x2y - 6x2 - 8xy2 - y2

4 0
3 years ago
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