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Sidana [21]
3 years ago
12

In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4. What is the length of a diagonal?

Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer:

18

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

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Question Help
mina [271]

The answer is 44 and if he deposits it is 33 dollars:

11x4

1x4=4

1x4=4

So 11x4=44

And if he deposits 11 he will have 33

3 0
3 years ago
The length of a photograph of Mr. Lemley playing golf is 1475 inches. If the area
Mice21 [21]

Answer:

1.12 × 10^-3

Step-by-step explanation:

The computation of the width of the photograph is as follows:

As we know that

Area of the rectangle = length × width

33 ÷ 20 square inches = 1475 inches × width

So, the width is

= Length ÷ area

=  1475 inches ÷ (33 ÷ 20 square inches)

= 1.12 × 10^-3

8 0
3 years ago
What is the quadratic function f(x)=x^2+6x-2 In vertex form?
Yuliya22 [10]

Answer: Option D

f(x)=(x+3)^2 -k

Step-by-step explanation:

For a quadratic function of the form

ax ^ 2 + bx + c

The x coordinate of the vertice is:

x =-\frac{b}{2a}

In this case the function is:

f(x)=x^2+6x-2\\\\

So

a=1\\b=6\\c=-2

The x coordinate of the vertice is:

x=-\frac{6}{2*1}\\\\x=-3

The y coordinate of the vertice is:

f(-3) = (-3)^2 +6(-3) -2\\\\f(-3)=-11

The vertice is: (-3, -11)

The form e vertice for a quadratic equation is:

f(x)=(x-h)^2 +k

Where

the x coordinate of the vertice is h and the y coordinate of the vertice is k.

Then h=-3 and k =-11

Finally the equation f(x)=x^2+6x-2\\\\ in vertex form is:

f(x)=(x+3)^2 -k

6 0
3 years ago
Read 2 more answers
A fruit basket weighing a total of 15 lbs. contains three types of fruit: apples, oranges, and pears. The apples weigh 4 1/2 lbs
frez [133]

Answer:

B is most likely the answer

Step-by-step explanation:

4 1/2 * 2= 9 so 15-9= 6

Pears weight is 6 Ibs and

4 1/2 *2 would make the most sense

3 0
3 years ago
Use the function below to find F(3).
kari74 [83]

Answer: B

Step-by-step explanation:

Plug in <em>x</em> for 3. Then solve.

4*(1/3)^3

4*1/9

4/9

4 0
2 years ago
Read 2 more answers
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