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3 years ago

Write an equation for the line that is parallel to the given line and that passes through the given point. y = –5x + 3; (–6, 3)

Mathematics

2 answers:

Kay [80]3 years ago

5 0

Answer:

Step-by-step explanation:

y = –5x + 3

slope of the given line by comparing with y=mx+b is

m= - 5

Concept is that the slope of parallel lines are equal so we need a line with slope same as m=-5

and passes through point (-6,3)

Equation using the point slope equation

y-3 = -5 (x-(-6))

y-3=-5(x+6)

y-3= -5x-30

y= -5x -27

Nutka1998 [239]3 years ago

3 0

You would need a new y-intercept in order for this to be parallel. So you use the points given and the slope and fill it in. 3=-5(-6)+b. 3=30+b. Then subtract 30 from both sides. -27=b. Then just put it all back into slope intercept form. y=-5x-27.

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A jewellry shop sells 240 necklaces in a month

Colt1911 [192]

Answer:

Ratio is 1:3

Step-by-step explanation:

Given that a jewellery shop sells 240 necklaces in a month. 180 were sold via the shops website, the rest were sold in a high street shop.

We have to work out the ratio for online sales to shop sales

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3 years ago

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The sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab 2. if one addend is –5a2b2 12a2b – 5, what is the other addend? 15a2b2 –

Brrunno [24]

The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The sum of two polynomials is,

$10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2$

The one polynomial addend is,

$-5a^2b^2 +12a^2b - 5$

Let suppose the other polynomial addend is f(a,b). Thus,

$(-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)$

Isolate the second polynomial as,

$f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5$

Arrange the like terms as,

$f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7$

Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.

Learn more about polynomial here;

brainly.com/question/24380382

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2 years ago

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Zanzabum

Answer:

It is boxes of cereal and bags of pretzels.

Step-by-step explanation:

Boxes of cereal costs $3.95 per box and pretzels cost $3.59 per bag. This is because 15.8÷4= $3.95 and 10.77÷3= $3.59

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3 years ago

Which of the following is a proportion?

poizon [28]

Answer:

Option C, 14/21=9/21 is the proportion.

Step-by-step explanation:

Given:

a.5/7 = 10/12

b.9/15 = 12/18

c.4/6 = 8/12

d.14/21 = 9/12

We have to find the proportions.

In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.

Let's work with option C

⇒ $\frac{4}{6}=\frac{8}{12}$

To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).

Simplest form of $\frac{8/2}{12/2}$ = $\frac{4}{6}$ , $\frac{4/2}{6/2}$ = $\frac{2}{3}$

Simplest form of $\frac{4}{6}$ = $\frac{2}{3}$

Both sides in option C have equal ratios of 2/3.

So 4/6=8/12 is in proportion.

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3 years ago

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steposvetlana [31]

Answer:

Blue

Step-by-step explanation:

I used a graphing calculator called Desmos.

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2 years ago

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