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slega [8]
2 years ago
13

Which of the following statements follows from (x - 3)2 = 5?

Mathematics
2 answers:
Leokris [45]2 years ago
6 0
I think the answer should be A correct me if I’m wrong tho
Kamila [148]2 years ago
6 0

Answer:

Option B is correct

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The height of a triangle is 3cm less than twice the base. The area is 10cm2
Kamila [148]

Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

H=2B-3

and

\frac{B \times H}{2}=10

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

H=2(4)-3\\H=8-3\\H=5

3 0
2 years ago
85% of the people survey thought the price of the car wash was reasonable. If 164 people thought the cost of the car wash was re
8090 [49]

192 people were survey

Step-by-step explanation:

The given is:

  • 85% of the people survey thought the price of the car wash was reasonable
  • 164 people thought the cost of the car wash was reasonable

We need to find how many people were survey

Assume that x people were survey

∵ There were x people survey

∵ 85% of them thought the price of the car wash was reasonable

∴ The number of the people who thought the price of the car wash

   was reasonable = 85% × x

∵ 85% = \frac{85}{100} = 0.85

∴ The number of the people who thought the price of the car wash

   was reasonable = 0.85 x

∵ 164 people thought the cost of the car wash was reasonable

- Equate 0.85 x and 164

∴ 0.85 x = 164

- Divide both sides by 0.85

∴ x = 192.94

∵ x represents a number of people, then it must be integer

∴ The number of people were survey = 192

192 people were survey

Learn more:

You can learn more about percentage in brainly.com/question/12960754

#LearnwithBrainly

7 0
3 years ago
Estimate by rounding the largest number to hundreds and then multiplying.321 x 5 is approximately
Zanzabum

Answer:

1600

Step-by-step explanation:

1600 is the answer because

321×5 = 1605 so estimation = 1605

5 0
2 years ago
Which graph represents the solution set of the inequality Negative 9 greater-than x?
Kamila [148]

Answer:

de answer is A

Step-by-step explanation:

hope i helped

7 0
3 years ago
Read 2 more answers
Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $18
chubhunter [2.5K]

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320

8 0
2 years ago
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