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Arlecino [84]
3 years ago
13

Factorise x^2 + 7x -30

Mathematics
2 answers:
kumpel [21]3 years ago
7 0
The answer is 
(x+10)(x-3)
maks197457 [2]3 years ago
3 0
x^{2} + 7x - 30 \\ \\ (x - 3)(x + 10) \\ \\ Answer: \fbox {(x - 3)(x + 10)}
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In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.
Neporo4naja [7]

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

4 0
3 years ago
On a certain day, the temperature changed at a rate of -2O per hour. How long did it take for the change in temperature to be -1
topjm [15]

Answer:

it took 7 hours

Step-by-step explanation:

7 0
2 years ago
Select the correct answer. Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometric
BaLLatris [955]

Answer:

  • C. The surface area of the pyramid is multiplied by 100

Step-by-step explanation:

The area is the function of the two dimensions.

If each dimension has changed by 10 times, the the area will change by:

  • 10*10 = 100 times

Correct choice is C

3 0
3 years ago
Read 2 more answers
I don't know how to do question 12(b)
Virty [35]
Amy: x skirts Betty: 2x skirts Carol: (2x) + 7 skirts If Amy has 18 less than Carol, than Carol's equation minus 18 equals Amy's equation: [(2x) + 7] - 18 = x +18 +18 (2x) + 7 = x + 18 - 7 -7 2x = x + 11 -x -x x = 11 Input the solution for x into the girls equation to double check. Amy: 11 Betty: 2(x) 2(11) =22 Carol: (2x) + 7 22 + 7 =29 Does Amy have 18 less than Carol? Carol - Amy = 18 29 - 11 = 18 18 = 18 the problem is solved
5 0
3 years ago
Mariah was playing a game where she gets a point if her spinner lands on a multiple of 3. What is the probability that she will
DedPeter [7]

Answer:

She has a 67% chance of getting anything other than a multiple of 3.

Step-by-step explanation:

8 to 4

7 0
2 years ago
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