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3 years ago

Determine whether a triangle can be formed with the given side lengths.

1 answer:

5 0

We can use triangle inequality to prove it. What this rule is, it's basically if u add up 2 sides of the triangle, the length must be longer than the third side, check all 3 sides, and if all sides matches with the rule, a triangle is possible.

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If the perimeter of the following triangle is 7x-2, what is the length of the unknown side?

Alinara [238K]

7x-2-(3x-9)-(x+7)

=7x-2-3x+9-x-7

=7x-3x-x-2+9-7

=3x

4 0

3 years ago

I only need the answer to question B

nalin [4]

Answer:

x=5

y=1

Step-by-step explanation:

The substitution method is considered easier because of its simplification.

2x-3y=7 (1)

x+2y=7 (2)

considering equation (2),

x = 7 - 2y (3)

using the value of "x" in (1)

2 (7-2y) - 3y=7

14 - 4y- 3y = 7

14 - 7y = 7

7y = 14 - 7

7y = 7

y = 1 (4)

substituting this value of "y" in (3)

x = 7- 2(1)

x = 5

3 0

3 years ago

Monday: 10 apples and 5 bananas

goldfiish [28.3K]

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

5 0

3 years ago

The value of x + y is negative, and x is a positive integer. What must be true about y? Explain.

sergey [27]

Answer:

Y must be negative

Step-by-step explanation:

Use this equation as an example: 5 + -7 = negative

If you add both of them you end up with -2

-2 is a negative integer

5 0

2 years ago

Find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)

Likurg_2 [28]

Answer:

$d = 14$

$(-2,-1)$

General Formulas and Concepts:

Order of Operations: BPEMDAS
Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

(5, -1)

(-9, -1)

Step 2: Find distance d

Substitute: $d = \sqrt{(-9-5)^2+(-1-(-1))^2}$
Simplify: $d = \sqrt{(-9-5)^2+(-1+1)^2}$
Subtract/Add: $d = \sqrt{(-14)^2+(0)^2}$
Evaluate: $d = \sqrt{196}$
Evaluate: $d = \14$

Step 3: Find Midpoint

Substitute: $(\frac{5-9}{2},\frac{-1-1}{2})$
Subtract: $(\frac{-4}{2},\frac{-2}{2})$
Divide: $(-2,-1)$

7 0

3 years ago