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3 years ago

Help please Give the slope of y+2=3(x-7) and a point on the line.

Mathematics

1 answer:

Rashid [163]3 years ago

8 0

Point slope form:

y - y1 = m(x - x1) where m = slope and coordinate point (x1, y1)

In this case y+2= 3(x-7), slope = 3 and a coordinate point (7, -2)

Answer is D

The slope is 3 and (7, 2) is on the line

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<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25

BigorU [14]

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's Solve ~

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 20x + 25$

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25$

$\qquad \sf \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) (2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) {}^{2}$

$\sf{\qquad \sf \dashrightarrow \: 4x² + 20x + 25 }$

$\sf{\qquad \sf \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}$

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

$\sf{\qquad \sf \dashrightarrow \: (2x + 5)²}$

I hope it was helpful ~

3 0

2 years ago

A man bought a car for Gh55,000.00 and sold it for Gh65,000.00. Find the percentage gain.

IgorLugansk [536]

Answer:

18.18%

Step-by-step explanation:

(65000-55000)/55000×100

5 0

2 years ago

Suppose you have $500,000 for retirement in 20 years.Your account earns 6% interest. How much would you need to deposit in the a

laiz [17]

Answer:

30,000

Step-by-step explanation:

What I did was 6 divided by 100 and I got 0.06 times the the 500,000 and got 30,000 so your answer should be 30,000. Hope this helps and let me know if I'm wrong. have a great day!

6 0

3 years ago

Question 19 Only, Please show your work.<br><br> Solve the problem.

ankoles [38]

Answer:

$5\sqrt{2}$

Step-by-step explanation:

Draw a diagonal (line segment from one corner to the opposite corner). You'll form two right triangles with the diagonal being the hypotenuse of both triangles.

Use the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.

Let h represent the length of the hypotenuse.

$h^2 = 5^2+5^2\\h^2=25 + 25\\h^2 =50\\h=\sqrt{50}\\h=5\sqrt{2}$

The question is just a bit vague. It should say opposite corners. I'm assuming the question does not mean the length of one side!

5 0

2 years ago

The lowest point on a graph in the domain of the function is called its ____ ____. (2 words)

Anika [276]

<span>The lowest point on a graph in the domain of the function is called its
</span>
answer:
Absolute Minimum

4 0

3 years ago

Read 2 more answers