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guapka [62]
3 years ago
8

What are the solutions of the equation y = negative 2 x squared + 9 x minus 4 shown in the graph below? On a coordinate plane, a

parabola opens down and goes through (0, negative 4), has a vertex around (2.5, 7), and goes through (4, 0). a. x = negative one-half, 4 c. x = one-third, 4 b. x = negative 4, 4 d. x = one-half, 4 Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
katovenus [111]3 years ago
5 0

Answer:

c

Step-by-step explanation:

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A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?
Lady bird [3.3K]

Answer:

Length = 6 inches, Width = 10 inches

Step-by-step explanation:

A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?

Note :

L = Length

W = Width

The perimeter of a rectangle = 2( L + W)

The area of a rectangle = LW.

A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches.

32 = 2( L + W)

Divide both sides by 2

16 = L + W.... Equation 1

L = 16 - W

Also:

LW = 60....... Equation 2

Let us substitute 16 - W for L in Equation 2

(16 - W)W = 60

16W - W² = 60

W² - 16W + 60 = 0

W² - 6W - 10W + 60 = 0

W(W - 6) - 10(W - 6) = 0

W - 6 = 0, W = 6 inches

W - 10 = 0, W = 10 inches

Solving for L

W = 10

L = 16 - 10

L = 6 inches

Therefore, the dimensions of the shingle =

Length = 6 inches, Width = 10 inches

3 0
3 years ago
Please please help me
atroni [7]

As it is a rectangle....

therefore Area of rectangle

LB

13*10. (here star means multiplication)

130

perimeter of rectangle

2(l+b)

2(13+10)

2*23

46m

3 0
3 years ago
Help!! ASAP maths exam coming up what transformation is this and tell me what does it include
Yuki888 [10]

Answer:

Reflection, Triangle B is a reflection of A

Step-by-step explanation:

Reflection <em>is when we flip a figure over. </em>

Translation <em>is when we slide a figure in any direction. </em>

Rotation <em>is when we rotate a figure a certain degree around a point. </em>

Dilation <em>is when we enlarge or reduce a figure.</em>

<em />

8 0
3 years ago
What are the points Please ASAP
Rus_ich [418]

Answer:

(0,1)

(0,-3)

(-2.5.-3)

Step-by-step explanation:

pls give me brainliest

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7 0
3 years ago
Read 2 more answers
Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more t
neonofarm [45]

Let

r------> the radius of the circular tabletop

we know that

r\geq 6\ in

r\leq23\ in

so

6\ in \leq r \leq 23\ in

The area of a circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

<u>Part a)</u> What is the smallest possible area of the tabletop that will fit on Timothy’s table base?

we know that

the smallest possible area of the tabletop is for r=6\ in

Substitute the value  of r in the formula

A=\pi 6^{2}

A=113.09\ in^{2}

Round to the nearest whole square inch

so

A=113\ in^{2}

therefore

<u>the answer part a) is </u>

the smallest possible area of the tabletop is 113\ in^{2}

<u>Part b)</u> What is the largest possible area of the tabletop that will fit on Timothy’s table base?

we know that

the largest possible area of the tabletop is for r=23\ in

Substitute the value  of r in the formula

A=\pi 23^{2}

A=1,661.90\ in^{2}

Round to the nearest whole square inch

so

A=1,662\ in^{2}

therefore

<u>the answer part b) is </u>

the largest possible area of the tabletop is 1,662\ in^{2}

7 0
4 years ago
Read 2 more answers
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