Ax^2+ay^2–bx^2–by^2+b-a

2 answers:

4 0

$ax^2+ay^2-bx^2-by^2+b-a$
= $a(x^2+y^2)-b(x^2+y^2)+b-a$
= $(x^2+y^2)(a - b)+b-a$
= $(x^2+y^2)(a - b)-(a - b)$
= $(a - b)(x^2+y^2 -1)$

VARVARA [1.3K]3 years ago

4 0

First, let's factor out the coefficient a.

We have

$ax^2+ay^2-bx^2-by^2+b-a$

$a(x^2+y^2-1)-bx^2-by^2+b$

Next, let's factor out the coefficient b.

$a(x^2+y^2-1)-b(x^2-y^2+1)$

Using the common factor $(x^2+y^2-1)$ , we can rewrite as

$(a-b)(x^2+y^2-1)$

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Write an equation for the graph below in slope-intercept form:

Zanzabum

Answer: y<1x-2

Step-by-step explanation:

Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.

First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it already indicates that the y intercept is -2 .

(0,-2)

(2,0) Use these points o the find the slope.

0- 2 = -2

-2 -0 = -2

-2/-2 = 1 The slope is one so the equation will be y = 1x - 2 But since this is not an inequality we have to change the equal to sign to an inequality sign.

Looking at the line, it is a dashed line so the inequality sign will be > or <

The painted side of the graph represents the solutions of the graph and that is all underneath the graph so the inequality will be y < 1x-2

8 0

2 years ago

Dave bought a new game for $28. The tax rate was 7% How much was the tax and total price (if you can please add work I’m severel

LekaFEV [45]

Okay, let's find out how much the tax was by finding out what 7% of $28 is, we do this by multiplying:

$\sf 28\cdot 7\%$

Convert 7% into a decimal, we do this by dividing it by 100 because percentages are parts of 100:

$\sf 28\cdot 0.07$

Multiply:

$\sf 1.96$

So this is the tax. Add it to the original price to get the total price:

$\sf 28+1.96=\boxed{\sf \$ 29.96}$