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Vaselesa [24]
3 years ago
12

Identify the slope and y-intercept of this equation and then show the steps to convert to standard form

Mathematics
1 answer:
kirill [66]3 years ago
5 0

The slope is the factor in front of x, so slope is 9.

The y intercept is 7 (that's the point of cross the y axis, where x=0)

There are multiple definitions of "standard form" for lines, so here are the two i can think of:

9x - y = -7    (the implicit function form)

or

y-7 = 9*(x-0)  (the point-slope form)

Lmk if you have questions.

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Step-by-step explanation:

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72 multiplied by what equals 432
evablogger [386]

Answer:

6

Step-by-step explanation:

72 multiplied by 6 equals 432

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Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0
antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

6 0
3 years ago
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alexandr1967 [171]
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Answer with Explanation please! Thank you!
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Answer:

The answer is D.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

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= 3 {q}^{2}  +  {r}^{3}  + 5r - 8q + 2 {q}^{2}  + 2r

Next you have to simplify by collecting like terms :

{r}^{3} +  3 {q}^{2}  + 2 {q}^{2}  + 5r + 2r - 8q

=  {r}^{3}  + 5 {q}^{2}  - 8q + 7r

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