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2 years ago

How do you solve this?

Mathematics

1 answer:

DiKsa [7]2 years ago

3 0

Triangles ABC and LBM are similar. We know this because AL and LB have the same length, so that AB is twice as long as either AL or LB. The same goes for MC and BM, and BC. The angle B is the same for both tirangles ABC and LBM, so the side-angle-side postulate tells us the triangles are similar, and in particular that triangle ABC is twice as large as LBM.

All this to say that LM must be half as long as AC, so LM has length (B) 14 cm.

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5x + 10 > 35 How do you work this out?

Alexxx [7]

Answer:

$x > 5$

Step-by -step explanation:

Solving inequalities is similar to solving equations.

$5x + 10 > 35$

Subtract 10 from both sides.

$5x > 25$

Divide by 5 from both sides to isolate the x.

$x > 5$

3 0

2 years ago

Read 2 more answers

If the answer to the square root is 5, then what is the number that gets you 5

tensa zangetsu [6.8K]

$\sqrt x=5\\
x=25$

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3 years ago

Solve the system of linear equations using linear combination.

brilliants [131]

3a + 6b = 45
2a - 2b = -12....multiply by 3
----------------
3a + 6b = 45
6a - 6b = - 36 ...(result of multiplying by 3)
---------------add
9a = 9
a = 1

3a + 6b = 45
3(1) + 6b = 45
3 + 6b = 45
6b = 45 - 3
6b = 42
b = 7

solution is : (1,7)

6 0

2 years ago

Read 2 more answers

A long distance runner starts at the beginning of a trail and runs at a rate of 6 miles per hour. One hour later, a cyclist star

sasho [114]

The answer to this is 50 minutes. by then the runner has gone 11 miles in an hour and 50min and the cyclist has gone 11 miles also

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3 years ago

F(x)=x cubed +3x squared -6x-8

svlad2 [7]

Answer: x = {-4, -1, 2}

Step-by-step explanation:

q p

F(x) = x³ + 3x² - 6x - 8

$\frac{p}{q} = +/- \frac{1, 2, 4, 8}{1}$

Possible rational roots are: +/- {1, 2, 4, 8}

F(1) = (1)³ + 3(1)² - 6(1) - 8

= 1 + 3 - 6 - 8

= -10 Since the remainder is not 0, then x = 1 is not a root

F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8

= -1 + 3 + 6 - 8

= 0 Since the remainder is 0, x = -1 is a root.

Use synthetic division to find the remaining factor:

x = -1 → x + 1 = 0

-1 | 1 3 -6 -8

| ↓ -1 -2 8

1 2 -8 0

(x + 1)(x² + 2x - 8) = 0

Next, factor the polynomial:

(x + 1)(x + 4)(x - 2) = 0

x + 1 = 0 x + 4 = 0 x - 2 = 0

x = -1 x = -4 x = 2

6 0

3 years ago