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Shtirlitz [24]
3 years ago
13

1. solve the following quadratic equation by factoring. Show all work and check your answer.

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Answer:

x = -4, x = 1

Step-by-step explanation:

x^2 + 3x - 4 = 0

4 and -1 add to 3 and multiply to -4.

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

Separate these by the Zero Product Property.

x+4 = 0

x-1 = 0

Solve.

x = -4

x = 1

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What is m∠PTR? a. 12 b. 40 c. 50 d. 140 HELP!!!
kramer

Answer:

m<PTR = 140°

Step-by-step explanation:

First, find the value of x. To find the value of x, derive an equation which you'd use in solving for x.

m<PTQ = (x + 28)°

m<RTS = (2x + 16)°

m<PTQ = m<RTS (vertical opposite angles are congruent)

Therefore:

x + 28 = 2x + 16

Solve for x. Combine like terms

28 - 16 = 2x - x

12 = x

x = 12

Find m<PTQ

m<PTQ = (x + 28)

plug in the value of x

m<PTQ = 12 + 28 = 40°

m<PTR + m<PTQ = 180° (supplementary angles)

m<PTR + 40° = 180° (substitution)

m<PTR = 180 - 40 (subtracting 40 from each side)

m<PTR = 140°

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3 years ago
Tyson brought a bag of coins into the bank to be counted. The bag contained only nickels and
podryga [215]

There will be 130 nickels and 90 dimes. 100 nickels is 5 dollars. 90 dimes are 9 dollars. And then there will be 30 left. 30 dimes isn’t 1.50$ bur 30 nickels is 1.50$ so you add the 30 to the nickels and it’ll be exactly 15.50$.

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12 (the third one is the greatest common factor of 120 and 84)

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