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3 years ago

Solve: x^2+7x-30=0 Please show all the steps, thank u

Mathematics

1 answer:

vodomira [7]3 years ago

8 0

x^2+7x-30=0 Rewrite the expression.

x^2+10x-3x-30=0 Factor the expressions.

x(x+10)-3 (x+10)=0 Factor the expression.

(x+10)(x-3)=0 Separate into possible cases.

x+10=0

Solve.

x-3=0

x1= -10

x2= 3

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2 years ago

The three inside angles (A,B and C) of a right-angled triangle are in the ratio 7:18:11. Th smallest angle is 35. Work out angle

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Answer:

<A = 35degrees

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Step-by-step explanation:

Given the ratios of a triangle as 7:18:11

Total ratio = 7+18+11

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Read 2 more answers

A box at a yard sale contains 3 different china dinner sets, each consisting of 5 plates. A customer will randomly select 2 plat

marshall27 [118]

Answer:

$\dfrac{2}{7}$

Step-by-step explanation:

3 different china dinner sets, each consisting of 5 plates consist of 15 plates.

A customer can select 2 plates in

$C^{15}_2=\dfrac{15!}{2!(15-2)!}=\dfrac{15!}{13!\cdot 2!}=\dfrac{13!\cdot 14\cdot 15}{2\cdot 13!}=7\cdot 15=105$

different ways.

2 plates can be selected from the same dinner set in

$3\cdot C^5_2=3\cdot \dfrac{5!}{2!(5-2)!}=3\cdot \dfrac{3!\cdot 4\cdot 5}{2\cdot 3!}=3\cdot 2\cdot 5=30$

different ways.

Thus, the probability that the 2 plates selected will be from the same dinner set is

$Pr=\dfrac{30}{105}=\dfrac{6}{21}=\dfrac{2}{7}$

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3 years ago