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4 years ago

True or false? A triangle with sides of lengths 10, 24, and 27 is a right triangle.

1 answer:

4 0

The hypotenuse is the longest side of a right angle triangle. Also,
hypotenuse² = base² + height²

Checking if the equation, Pythagoras theorem, is satisfied:

27² = 10² + 24²
729 ≠ 676

Thus, this is not a right triangle.

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Factor each expression by factoring out the common binomial <br><br> 5a(y + 4) + 8(y + 4)

Tems11 [23]

Answer:

Factoring the term $5a(y + 4) + 8(y + 4)$ we get $(y+4)(5a+8)$

Step-by-step explanation:

We need to factor the term: $5a(y + 4) + 8(y + 4)$

Factoring:

$5a(y + 4) + 8(y + 4)$

Taking (y+4) common

$(y+4)(5a+8)$

It cannot be further factored.

So, Factoring the term $5a(y + 4) + 8(y + 4)$ we get $(y+4)(5a+8)$

6 0

3 years ago

A group of farmers bought 28 tractors and trucks. There were 1.8 times more tractors than trucks. How many tractors and how many

Oxana [17]

There are 10 trucks and 18 tractors
I found that out by multiplying 10 and 1.8 which gave me 18
when u add 10 and 18 u get 28

5 0

3 years ago

Read 2 more answers

Solve the system of inequalities<br> 1-12y<:3y+1; 2-6y>4+4y

ICE Princess25 [194]

For 1 - 12y < 3y+1; y > 15

For 2 - 6y > 4 + 4y; y < -0.2

The given inequalities are:

1 - 12y < 3y + 1

2 - 6y > 4 + 4y

For 1 - 12y < 3y + 1:

1 - 12y < 3y + 1

Collect like terms

-12y - 3y < 1 - 1

-15y < 0

Multiply both sides by -1

-1(-15y) > 0(-y)

15y > 0

Divide both sides by 15

y > 0/15

y > 15

For 2 - 6y > 4 + 4y

Collect like terms

-6y - 4y > 4 - 2

-10y > 2

Multiply both sides by -1

-1(-10y) < 2(-1)

10y < -2

y < -2/10

y < -0.2

Learn more here: brainly.com/question/11316045

8 0

3 years ago

What is the range of the function shown on the graph?

never [62]

Answer:

$y \in \{\space \mathbb R \space| -6 < y < \infty\}$

Step-by-step explanation:

We can see from the graph that $y$ can't be lesser than $-6$ and $y$ extends unendlessly in the positive direction.

4 0

3 years ago

(-r-5)-(-2r-4) help me solve pls lol

vaieri [72.5K]

<h3>answer:</h3>

$r - 1$

<h3>Step by step explanation:</h3>

<h3> Step 1: Distribute</h3>

$( - r - 5) - ( - 2r - 4) \\ ( - r - 5) + 2r + 4$

<h3>Step 2: Eliminate redundant parenthesis</h3>

$( - r - 5) + 2r + 4 \\ - r - 5 + 2r + 4$

<h3>Step 3: Add numbers</h3>

$- 3 \purple{ - 5} + 2r + \purple{4} \\ - r \purple{ - 1} + 2r$

<h3>Step 4:Combine like terms </h3>

$\purple{ - r } - 1 + \purple{2r} \\ \purple{1r} - 1$

<h3>Step 5:Multiply by 1</h3>

$1r - 1 \\ r - 1$

Hopefully it's help

8 0

2 years ago

Read 2 more answers