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3 years ago

Please help. I keep getting a negative distance when doing the formula

Mathematics

1 answer:

jenyasd209 [6]3 years ago

6 0

Answer:

EF ≥ 4

Step-by-step explanation:

EF is the midline of the trapezoid so its length is the average of the two base lengths:

(AD +BC)/2 = EF

AD +BC = 2·EF . . . . multiply by 2

8 +2x -4 = 2(x+2) . . . substitute the expressions for the segment lengths

2x +4 = 2x +4 . . . . . . true for any value of x

We only require that segment BC is non-negative in length, so ...

BC ≥ 0

2x -4 ≥ 0 . . . . substitute the expression for BC

x -2 ≥ 0 . . . . . divide by 2

x ≥ 2

Then segment EF will be ...

x +2 ≥ 4 . . . . add 2 to both sides of the inequality for x

The only restriction the figure puts on the length of EF is ...

EF ≥ 4

_____

We suggest you talk to your teacher about this problem. The figure shown does not require that EF have any particular value.

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For the functions f(x)=2x-6 and g(x)=5x+1 Which conposition produces the greatest output?

andrew11 [14]

(f o g)(x) = 2(5x + 1) - 6 = 10x - 4

(g o f)(x) = 5(2x - 6) + 1 = 10x - 29

So (f o g)(x) produces the greatest output.

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4 years ago

The weight that a horizontal beam can support varies as the length of the beam suppose that a 2m beam can support 410kg how many

fenix001 [56]

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4 years ago

What percent of 48 is 12?

g100num [7]

Answer:

25%

Step-by-step explanation:

Given that we have to find what percent of 48 is 12

Let "x" be the required percent

From given statement,

what percent of 48 is 12

Let us say,

x percent of 48 is 12

Writing it mathematically we get,

x % of 48 is 12

Evaluate the above expression to find "x"

Thus 25 % of 48 is 12

7 0

3 years ago

Read 2 more answers

Can someone help me

IrinaK [193]

Answer:

y=2x

...............mm.

7 0

3 years ago

Find each measurement indicated. Round your answers to the nearest tenth. Please show your work. Part 2

uysha [10]

Answer:

4. 14.03 miles

5. 15.02 kilometers

6. 19.95 meters

Step-by-step explanation:

4. We need to use the law of sines, which states that for a triangle with angles A, B, and C and sides a, b, and c, respectively, then:

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

Here, a = 30, <A = 130, and <B = 21. So, let's plug these in:

$\frac{30}{sin130} =\frac{b}{sin21}$

b = AC = $\frac{30}{sin130}*{sin21}$ ≈ 14.03 miles

5. Here, c = 7, <C = 23, and <A = 123. We want to find BC, which is just a:

$\frac{7}{sin23} =\frac{a}{sin123}$

a = BC = $\frac{7}{sin23} *{sin123}$ ≈ 15.02 kilometers

6. Here, c = 22, <C = 88, and <B = 65. We want to find AC, which is just b:

$\frac{22}{sin88} =\frac{b}{sin65}$

b = AC = $\frac{22}{sin88} *{sin65}$ ≈ 19.95 meters

Hope this helps!

8 0

3 years ago

Read 2 more answers