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IRINA_888 [86]
3 years ago
8

Please be quick!

Mathematics
1 answer:
diamong [38]3 years ago
4 0

Answer:

The value of x is 6

Step-by-step explanation:

Here, we want to calculate the length of the mid-segment

Mathematically;

if we add the length of the two parallel bases and divide by 2, we get the length of the mid-segment

Thus;

(x + 8 + 5x + 4)/2 = 24

6x + 12 = 2(24)

6x + 12 = 48

6x = 48-12

6x = 36

x = 36/6

x = 6

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Answer:

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Step-by-step explanation:

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se
kolbaska11 [484]

Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

3 0
3 years ago
At a fabric store, metallic ribbon costs $16 for 4 ft. White ribbon is priced at 3 ft per dollar. Use rates to show which kind o
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4 0
2 years ago
.................help ​
Ann [662]

Answer:

B

Step-by-step explanation:

He found out how many people who play 2+ instruments are 8th graders rather than how many 8th graders play 2+ instruments.

8 0
3 years ago
Please please do a step by step of how to solve the equation and the answer! please and thank you!
Yuliya22 [10]

Answer:

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

Given:

Equation

x² + 9x + 20 = 0

Find:

Value of x using quadratic formula

Computation:

Quadratic formula = [-b±√b²-4ac] / 2a

Given equation;

x² + 9x + 20 = 0

a = 1 , b = 9 , c = 20

By putting value

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[-9±√81-80] / 2

[-9±√1] / 2

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-4 , - 5

Value of x using quadratic formula (x = -4) and (x = -5)

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