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3 years ago

5

How to simplify (-0.75x+6)-(2.5x-1.9)

1 answer:

Arturiano [62]3 years ago

7 0

Multiply x and 0.75
Multiply x and 1
The x just gets copied along.
The answer is x
x
0.75*x evaluates to 0.75x
Because of the minus sign
0.75x becomes - 0.75x
The answer is -0.75x
-0.75*x+6 evaluates to -0.75x+6
Multiply x and 2.5
Multiply x and 1
The x just gets copied along.
The answer is x
x
2.5*x evaluates to 2.5x
2.5*x-1.9 evaluates to 2.5x-1.9
To subtract the polynomials -0.75x+6 and 2.5x-1.9 we try to subtract terms in one polynomialwith any like terms in the other polynomial.
Be very careful with the "-" sign in front of 2.5x-1.9 it is to be used on all terms in it.
-0.75x - 2.5x = -3.25x
6 - -1.9 = 7.9
The answer is -3.25x+7.9
(-0.75*x+6)-(2.5*x-1.9) evaluates to -3.25x+7.9

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A triangle has an area of 78 square inches. Its base is measured to be 13 inches. What is the height of this triangle in inches?

Fynjy0 [20]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{12 \: inches}}}}}$

Step-by-step explanation:

Given,

Area of a triangle = 78 square inches

Base of a triangle = 13 inches

Height of a triangle = ?

<u>Finding</u><u> </u><u>the</u><u> </u><u>height</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>triangle</u>

$\boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} \times \: base \: \times \: height}}$

$\dashrightarrow{ \sf{78 = \frac{1}{2} \times 13 \times h}}$

$\dashrightarrow{ \sf{78 = 6.5 \: h \: }}$

$\dashrightarrow{ \sf{6.5 \: h = 78}}$

$\dashrightarrow{ \sf{ \frac{6.5h}{6.5} = \frac{78}{6.5}}}$

$\dashrightarrow{ \sf{h = 12 \: inches}}$

Hope I helped!

Best regards! :D

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3 years ago

Solve for z.<br> -30 = 5(x+1)

melisa1 [442]

-30= 5 (x+1 )

-5 from 5= 0
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3 years ago

What are the greatest and the least

Zepler [3.9K]

Answer:

Greatest = 699,999

Least = 600,900

Step-by-step explanation:

6 digit numbers

9 in the Hundred place

3 fewer hundred thousands than hundred

9 - 3 = 6

Hundred thousand = 600,000

Hence, greatest 6 digit number

Hth__TTh__Th__H__T__U

6____9____9___9__9__9

600,000 + 90,000 + 9,000 + 900 + 90 + 9

= 699,999

Hence, least 6 digit number

Hth__TTh__Th__H__T__U

6____0____0___9__0__0

600,000 + 00000 + 0000 + 900 + 00 + 0

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3 years ago

One of the factors of x³ - 27 is x - 3. What is the other factor?

Oksi-84 [34.3K]

Answer:

We know that, a³ - b³ = (a - b)(a² + ab + b²)

Now,

x³ - 27
(x)³ - (3)³
(x - 3)(x² + 3x + 9)

Therefore,

<u>(x² + 3x + 9)</u> is the other factor.

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3 years ago

The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are

attashe74 [19]

Answer: 49 cm² and 16 cm²

Step-by-step explanation:

1. If the triangles are similar and the ratio of the perimeter os 4:7, then the areas are in the following ratio:

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2. You know that the sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

$A_1=65(\frac{49}{49+16})=49cm^{2}$

3. The area of the smaller triangle is:

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3 years ago