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4 years ago

Line passing through the point (4,-7) and has slop of 3

1 answer:

7 0

Aha! I love these types of questions. This is where you are going to use point-slope form!

As a reminder...point slope form is $y - y^1 = m(x-x^1)$

So if we have our coordinates (4, -7) -- 4 would be $x^1$ and -7 would be $y^1$ -- now you need to plug them in.

But remember m = slope.

y + 7 = 3 (x - 4) -- now convert into standard form.

Standard form: y = 3x - 19

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Solve the 2x^2 - 5 = 13

DochEvi [55]

Answer:

x=3

x=−3

Step-by-step explanation:

2x^2 - 5 = 13

Subtract 13 from both sides.

2x^2 - 5 - 13 = 0

Subtract 13 from −5 to get −18.

2x^2 - 18 = 0

Divide both sides by 2.

x^2 - 9 = 0

Consider x^2−9. Rewrite x^2−9 as x^2−3^2. The difference of squares can be factored using the rule: a^2−b^2=(a−b)(a+b).

(x−3)(x+3)=0

To find equation solutions, solve x−3=0 and x+3=0.

x=3

x=−3

4 0

3 years ago

Jerry purchases a used sofa for $275. He cleans and reupholsters the sofa to make it look brand new. After all the improvements,

GaryK [48]

Answer:

Step-by-step explanation:

Step one:

we are told that the cost of the sofa is $275

also, he sells it for 40% more of the cost price

let us find 40% of $275

=40/100*275

=0.4*275

=110

=$110

Step two:

This means that the selling price is 275+110

=$385

profit = selling price- cost price

profit=385-275

profit=$110

3 0

3 years ago

What is m∠DEF?<br> Enter your answer in the box.

frutty [35]

Answer:

<h2>m∠GEF = 18º since it is marked as congruent to ∠DEG, so putting them together we get m∠DEF = 36º. Since the angles in the triangle need to add to 180º and angles D and F are congruent, we could write the equation 2x + 36 = 180 where x stands for ∠F.</h2>

8 0

3 years ago

A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.

olga_2 [115]

Answer:

$\frac{3,25}{5}=0,65 \\$ for brand x for 1 fluid ounces