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Pani-rosa [81]
3 years ago
12

1. Which system of equations has no solutions?

Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

C.

Step-by-step explanation:

-a + b = -2

b = a + 3

-a + a + 3 = -2

3 = -2 (incorrect).....no solutions.....because these lines are parallel

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What is the factored form of y^2+6y-16
Vlada [557]
<h2><em>y 2 + 6 y − 16 = ( y + 8 ) ( y − 2 )   </em></h2><h2 /><h2><em>Explanation: </em></h2><h2><em>Note that in general: </em></h2><h2 /><h2><em>( y + a ) (y − b ) = y 2 + ( a − b ) y − a b </em></h2><h2 /><h2><em>So we want to find a pair of factors  a  and  b  of  16  which differ by  6 .  </em></h2><h2><em>The pair  8 , 2 works in that  8− 2 = 6  and  8 ⋅ 2= 16 . </em></h2><h2 /><h2><em>Hence: </em></h2><h2><em> y 2 + 6 y − 16 = ( y+ 8 ) ( y − 2 )</em></h2><h2><em>y=2,-8</em></h2>
6 0
3 years ago
Read 2 more answers
Find the product.<br> (3b + 6at)(b - at)
adoni [48]

Answer:

3bat + 3b² - 6a²t²

Step-by-step explanation:

First you have to expand it to get;

3b(b - at) + 6at(b - at)

Then you can now multiply.

3b² - 3bat + 6bat - 6at²

Group like terms

6bat - 3bat + 3b² -6at²

3bat + 3b² - 6a²t²

4 0
3 years ago
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A square garden with side length of 50 has a square shaped fountain display with length of 12 feet at the exact center of garden
nadezda [96]

Answer:

The area of the garden is 2356\ ft^2

Step-by-step explanation:

<u>Area of a Square</u>

Given a square of a side length of x, the area is calculated as:

A = x^2

There is a square garden area of a side length of x=50 feet. The area is:

A_1=50^2=2500\ ft^2

Inside of it, there is another square area for a fountain display of a side length of 12 feet. The area is:

A_2=12^2=144\ ft^2

The area of the garden is the difference between A2 and A1:

A_g=A_2-A_1=2500\ ft^2-144\ ft^2

A_g=2356\ ft^2

6 0
3 years ago
Anyone know special right triangles???
MissTica

Answer:

<h2>x = 6 cm</h2>

Step-by-step explanation:

think we hve to use trigonometry here

sin 30⁰

see the pic

sorry I am from India and we solve this type of sum with this method

3 0
3 years ago
Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 20 options: A) Distributive pr
Luda [366]

Answer:

C) Addition property of equality and division property of equality

Step-by-step explanation:

To find the answer, let's first solve the equation for x...

3x-6=12

Add 6 to both sides (Addition property of equality)

3x=6

Divide both sides by 3 (Division property of equality)

x=2

We used both the addition property of equality and the division property of equality therefore the answer is C

5 0
3 years ago
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