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3 years ago

Which expressions are equivalent to 7x – 14? Check all that apply.

Mathematics

2 answers:

Andrew [12]3 years ago

8 0

Answer:

$\huge\boxed{-(14-7x)}\\\\\huge{\boxed{7(x-2)}}\\\\\huge\boxed{3x-14+4x}$

Step-by-step explanation:

All of the following equations, through the Distributive Property and combining like terms, simplify to 7x - 14.

-(14 - 7x)

Distribute.

(-1)*14 + (-1)*7x

Simplify.

-14 + 7x

Rearrange.

7x - 14

7(x - 2)

Distribute.

(7*x) + (7 * -2)

Simplify.

7x - 14

3x - 14 + 4x

Combine like terms.

7x - 14

Hope it helps :)

makvit [3.9K]3 years ago

5 0

Answer:

Answer is 3x – 14 + 4x

3x – 14 + 4x = 7x - 14

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

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You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Deter

Katen [24]

Answer:

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

Step-by-step explanation:

The volume of the box can be calculated with this formula:

The volume of the box = area of square base X height of the box.

We are given that the length of one side of the square base is = x cm, and its height is h cm.

Area of square base = $x^{2}cm^{2}$

The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.

In this case, the volume of the box will be $x^{3}=1536cm^{3}$

from this, $x =3\sqrt{1536}= 11.53cm$

There fore, the box has its length, height, and width all having the same values.

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

8 0

3 years ago

For the function y = -2x + 20, what is the output when the input is 50.

Irina18 [472]

Answer:

y = -2(50) + 20

y = -100 + 20 = -80

7 0

3 years ago

Which statement is true about the product square root of 2(3square root of 2 + square root of 14)?

sukhopar [10]

Answer:

$\sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}$

Step-by-step explanation:

Given : $\sqrt{2} (3\sqrt{2} +\sqrt{14})$

Solution:

$\sqrt{2} (3\sqrt{2} +\sqrt{14})$

$3*2+\sqrt{28})$

$6+2\sqrt{7}$

Thus , $\sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}$

Thus the solution is irrational since square root 7 does not have a perfect square and equal to 6+2square root of 14

3 0

4 years ago

Read 2 more answers

Can someone help me

djverab [1.8K]

Step-by-step explanation:

10)

any triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.

the arc angle of 84° means that also the angle at Q is 84°, because the arc angle is the same as the segment angle at the center of the circle (that is how arc sngles are defined).

that means the supplementary angle (together they have 180°) of Q at the inner top angle of the small left triangle is 180 - 84 = 96°.

as the legs of this small left triangle are both the radius of the circle, this triangle is an isoceles triangle (both legs are equally long, and both angles at its baseline are equally large).

remember, the sum of all angles in a triangle is always 180°.

so,

y = (180 - 96)/2 = 42°

x is a complimentary angle (together they are 90°, remember, the large triangle is inscribed and is right-angled) to the second 42° angle

x = 90 - 42 = 48°

11)

y is the supplementary angle to 126°

y = 180 - 126 = 54°

this inner segment angle is the mean value between the 2 outer angles.

54 = (57 + 2nd outer angle of y)/2

108 = 57 + 2nd outer angle of y

2nd outer angle of y = 108 - 57 = 51°

all arc angles around a circle must be 360°.

x = 360 - 57 - 104 - 51 = 148°

12)

again, all arc angles together must be 360°.

y = 360 - 148 = 212°

x is the same angle as the top angle of a triangle inscribed to the right of the chord.

and that angle is half of the opposing arc angle (148°).

it is therefore 148/2 = 74°

and so,

x = 74°

6 0

2 years ago

What is a reasonable estimate for the problem ? -3/2 multiply by ( -5 1/4 )

Nat2105 [25]

= -3/2 * -5 1/4
convert 5 1/4 to improper fraction

= -3/2 * -21/4
multiply numerators; multiply denominators

= (-3*-21)/(2*4)
multiply in parentheses

= 63/8
convert back to mixed number

= 7 7/8

ANSWER: Since the exact answer is the mixed number 7 7/8, a reasonable estimate is 8.

Hope this helps! :)

5 0

3 years ago

Read 2 more answers