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rjkz [21]
3 years ago
15

What is the area of a rectangle with side lenghts 3x+2 and x-4

Mathematics
1 answer:
melamori03 [73]3 years ago
6 0
For a rectangle, A = LW.

A = (3x + 2)(x - 4)

A = 3x^2 - 12x + 2x - 8

A = 3x^2 -10x - 8
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PLEASE HELP!!!!!!!!<br> also, show all work<br> Thank you:)
barxatty [35]

Problem 1

<h3>Answer:  104 cubic inches</h3>

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

Explanation:

The prisms are similar so they have the same shape, but different sizes.

The linear scale factor from small to large is:

large/small = 10/4 = 2.5

Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism

4*2.5 = 10

This linear scale factor is then cubed to get the volume scale factor

(2.5)^3 = 15.625

Which tells us:

larger volume = 15.625*(smaller volume)

smaller volume = (larger volume)/15.625

smaller volume = (1625)/15.625

smaller volume = 104 cubic inches

========================================================

Problem 2

<h3>Answer:  650 square inches</h3>

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

Explanation:

We will go back to the linear scale factor of 2.5

This time, we square it to get (2.5)^2 = 6.25

This is the surface area scale factor.

larger surface area = 6.25*(smaller surface area)

larger surface area = 6.25*(104)

larger surface area = 650 square inches

4 0
2 years ago
What is the volume?<br> 7 yd<br> 10 yd<br> 6 yd
Tju [1.3M]

Answer:

210 yd³

Step-by-step explanation:

Volume of a triangular prism

= the area of a triangular base × the height

The area of the base

= (10×7)÷2

= 35 yd²

The volume of the prism

= 35 × 6

= <u>210 yd³</u>

3 0
3 years ago
A basket contains apples and oranges. some are ripe and some are not. 30% of the fruits are apples and 50% of the fruits are rip
Lynna [10]
Since 50% are ripe, and you know that 25% are ripe apples, you also can assume 5% of apples aren’t ripe. From that you know that 50% + 5% is ripe oranges, and apples. So 45% are not ripe oranges
8 0
3 years ago
How do i use ratios to find this angle?
vivado [14]
If we know just two sides of a triangle, we can find<span> the </span>measure<span> of the</span>angles<span>. Step 1: Choose which trig </span>ratio<span> to use. We need to determine how the two sides we know the length of are related to </span>angle<span> A. The 4 in. side is adjacent to A and the 7 in.</span>
7 0
3 years ago
Help asap!<br><br> Thanks in advance!<br><br> There's two questions btw:)
lutik1710 [3]

Answer:

[1].

Option A and D are correct.

[2].

Option A is correct

Step-by-step explanation:

[1].

Quadratic function states that it is an equation of second degree i.,e it contains at least one term that is squared.

The standard form of the quadratic equation is; ax^2+bx+c = 0

A.

y(y+4)-y = 6

Using distributive property: a\cdot (b+c) = a\cdot b + a\cdot c

y^2+4y-y=6

Combine like terms;

y^2+3y = 6

or

y^2+3y -6=0 which represents a quadratic equation.

B.

3a-7 = 2(7a-3)

3a-7 = 14a-6

or

11a+1 = 0 which is not a quadratic equation.

C.

(3x+2)+(6x-1) = 0

Combine like terms;

9x +1 = 0 which is not a quadratic equation.

D.

4b(b) = 0

4b^2 = 0 which represents the quadratic equation.

[2].

Given the parent function: y=x^2

The reflection rule over x axis is given by;

(x, y) \rightarrow (x, -y)

then

the function become: y = -x^2

Vertical shift:

If c is a positive real number, the graph y=f(x)+c is the graph of y =f(x) shifted upward c units.

If c is a positive real number, the graph y=f(x)-c is the graph of y =f(x) shifted downward c units.

then;

The graph y=-x^2-3 is the graph of y=-x^2 shifted 3 units down.

Therefore, the translation of the graph of  y=x^2 to obtain y=-x^2-3 is, reflect over the  x-axis and shift down 3




6 0
3 years ago
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