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skad [1K]
3 years ago
15

Find an equation for the line with slope m through the point (a,c).

Mathematics
1 answer:
lidiya [134]3 years ago
4 0
If you want the answer in point slope form then,

y-y1 = m(x-x1)
y-c = m(x-a)

---------------------------------------

If you want the answer in slope intercept form, then solve for y

y-c = m(x-a)
y-c = mx-ma
y-c+c = mx-ma+c
y = mx-ma+c
y = mx+c-ma
y = mx+(c-ma)

For this answer in slope intercept form the slope is m and the y intercept is c-ma

---------------------------------------

If you want the answer in standard form, then get the variable terms to the left side. Have the constant terms on the right side.

y = mx+c-ma
y-mx = mx+c-ma-mx
-mx+y = c-ma

Optionally you can multiply both sides by -1 to get mx-y = -c+ma but it will depend on your book if this step is carried out or not.

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Mr. Morales owns a warehouse that is 56,000 cubic feet. He wants to build an addition that will increase the size of the warehou
Gennadij [26K]

Answer:

62,160 cubic feet

Step-by-step explanation:

To solve this problem, we can use a percentage formula as shown below:

P(1+r)

<em>P = initial value</em>

<em>r = rate</em>

Now lets plug in the values given in the question:

56,000(1+.11) = 62,160

This means that the volume of the warehouse after the addition will be 62,160 cubic feet.

5 0
3 years ago
1. Pretend your parent says they'll buy you a new coat for winter. How will you decide which
Paul [167]

Looking up what kinds of coat will help me best for the winter and what is fashionable.

Tbh that’s was an really easy question.

4 0
3 years ago
Which of the following are identities?
podryga [215]

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

(a² - b²) = (a + b) (a - b)

We can prove and confirm this be solving the algebraic expression

(x + y) (x - y)

We expand the bracket

x² - xy +xy - y²

x² - y²

Therefore, option A is the correct option.

6 0
3 years ago
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OverLord2011 [107]

Answer:

ask him how much miles he did

3 0
3 years ago
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Percent word problems Problem Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60\%60%60, p
Tanzania [10]

Answer:

15 dollars.

Step-by-step explanation:

That would be 60% of 25

= 25 * 0.6

= 15 dollars.

4 0
3 years ago
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