MATHEMATICS HIGH SCHOOL

The vertices of a triangle are listed below.Q(-3,7), R(8,7), S(-6,-5)
Which of the following correctly classifies the triangle?

Answers

Answer 1
Answer: This question is a bit tedious. In order to answer it, we will have to find the distance between each vertex using the distance formula.

d² = (x - x)² + (y - y)²   Distance Formula
d² = (-3 - 8)² + (7 - 7)²   Substitute for points Q (-3,7) and R (8,7)
d² = -11² + 0²   Collect like terms
d² = 121   Square
d = 11   Take the square root of both sides to cancel out the exponent on the left

The distance between points Q and R is 11. Now let's use the formula on the rest of the points.

R and S

d² = (8 + 6)² + (7 + 5)²   Keep in mind that when you subtract a negative, it becomes a positive.
d² = 196 + 144
d² = 340
d = 18.4

Q and S

d = 12.4

This is scalene triangle, because none of the sides are equal. I was a bit rushed on this one, so you might want to check my math.

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Solve y = ax^2 + c for x.

Answers

The Value of x=±\sqrt{ (y-c)/(a)

To find the value of X.

What is Quadratic equation?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Assuming

a≠0...

First subtract c from both sides to get:

y-c=ax^(2)

Divide both sides by a and transpose to get:

x^(2) =(y-c)/(a)

So x must be a square root of (y-c)/(a) and we can deduce:

x=± \sqrt{(y-c)/(a)

So, the Value of x=±\sqrt (y-c)/(a)

Learn more about quadratic equation here:

brainly.com/question/2560481

#SPJ6

Answer:

b

Step-by-step explanation:

Write all the factors of 24:

Answers

The factors are just numbers that can be multiplied to receive the number that is given.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.

1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
1,2,3,4,6,8,12,24 are all factors of 24. factors are two numbers that multiply together to get your answer. for example 1*24 2*12 3*8 4*6

Which function below correctly illustrates the absolute value function

Answers

The answer is the second choice:
a, if a is greater than or equal to 0 and
-a, if a is less than or equal to 0

You can check this by testing out values.
The absolute value of 5 is 5 while the absolute value of -5 is -(-5) or 5. This follows the chosen function.

Simplify.
26 + (–3) ∙ (–8)
a. –184
b. –2
c. 2
d. 50

Answers

=>26 + (-3) × (-8)=>26 + 24=>50So the answer is option D (50)....Hope it helps!!!

The ____ is a metric unit for mass.A : Meter

B : Gram

C : Liter

Answers

The gram is a metric unit for mass.

Your answer is B: Gram

What is 12.2billion divided by 3.8%

Answers

3.8% = 0.038

12.2 billion / 0.038 = 321.0526... billion (rounded)
12.2 b / 3.8 %

= 12.2 * 100 / 3.8

= 1220/3.8

= 321.05 billion         ( Approx.)
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