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Two equations are given below: a – 3b = 9 a = b – 3 What is the solution to the set of equations in the form (a, b)?

Vilka [71]

A-3b=9
a=b-3

b-3-3b=9
-2b-3=9
-2b=12
2b=-12
b=-6

a=-6-3
a=-9

Solution: (-9,-6)
----
Check:
-9=-6-3
-9=-9
TRUE

7 0

3 years ago

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W

Travka [436]

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

A) segment a double prime b double prime = segment ab over 2

B) segment ab = segment a double prime b double prime over 2

C) segment ab over segment a double prime b double prime = one half

D) segment a double prime b double prime over segment ab = 2

Answer:

A) segment a double prime b double prime = segment ab over 2.

It can be rewritten as:

$A"B" = \frac{AB}{2}$

Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

A"B" = AB * s.f.

Since we are given a scale factor of ½

Therefore,

$A"B" = AB * \frac{1}{2}$

$A"B" = \frac{AB}{2}$

The equation that explains the relationship between segment AB and segment A"B" is

$A"B" = \frac{AB}{2}$

Option A is correct

5 0

3 years ago

PLESE HELPPP im struggling please.

Gekata [30.6K]

Answer:

ab - b^2

Step-by-step explanation:

The area of the large rectangle is

A = l*w

=a*b

The area of the unshaded region is

A = b*b = b^2

The area of the shaded region is the area of the rectangle minus the area of the unshaded region

ab - b^2

8 0

3 years ago

What is the vertex for the following quadratic?<br> f(x)= 2x^2-12x+16

LenaWriter [7]

Answer:

(3, -2)

Step-by-step explanation:

To find the vertex, put the equation into vertex form by completing the square

2(x^2 - 6x) + 16 [pulling out the 2]

2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]

2(x - 3)^2 - 2 [simplify the equation]

vertex is (3, -2)

7 0

3 years ago

PLEASEE SOMEONE HELPPP!!!

ozzi

Answer: $450 i think. hope this

aking additional principal payments will shorten the length of your mortgage term and allow you to build equity faster. Because your balance is being paid down faster, you'll have fewer total payments to make, in-turn leading to more savings.

and the 2) because your monthly payments are lower on a loan with a longer repayment term, this gives you more wiggle room in your budget. You may need this extra cash to put towards other important goals.

Step-by-step explanation:

3 0

3 years ago