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3 years ago

What is the slope of the line passing through the points (1, -5)and (4, 1)

Mathematics

1 answer:

Brums [2.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

The slope (m) can be found using the formula ...

m = ∆y/∆x = (y2 -y1)/(x2 -x1)

= (1 -(-5))/(4 -1) = 6/3

m = 2

The slope of the line is 2.

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DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . DG=5 cm and BD=12 cm.

jonny [76]

Given that DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence AG, BG, and CG are equal.

Given that DG = 5 cm and BD = 12 cm, then

$BG= \sqrt{DG^2+BD^2} \\ \\ = \sqrt{5^2+12^2} = \sqrt{25+144} \\ \\ = \sqrt{169} =13$

Since AG = BG = CG, therefore, CG = 13 cm.

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Leno4ka [110]

Reflection across the y-axis

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3 years ago

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2x+3y=19 // 6x+2y=22

zvonat [6]

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 19 → (1)

6x + 2y = 22 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 6x - 9y = - 57 → (3)

Add (2) and (3) term by term to eliminate x

0 - 7y = - 35

- 7y = - 35 ( divide both sides by - 7 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(5) = 19

2x + 15 = 19 ( subtract 15 from both sides )

2x = 4 ( divide both sides by 2 )

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solution is (2, 5 )

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Consider a student loan of $20,000 at a fixed APR of 12% for 15 years. a. Calculate the monthly payment.(Do not round until t

joja [24]

Answer:

a. $240.03

b. $43,205.04

c. Principal = 46.29%

Interest = 53.71%

Step-by-step explanation:

The computation is shown below:

a. For computing the monthly payment we need to apply the PMT formula i.e to be shown in the attachment below

Given that,

Present value = $25,000

Future value or Face value = 0

RATE = 12% ÷ 12 months = 1%

NPER = 15 years × 12 months = 180 months

The formula is shown below:

= PMT(RATE;NPER;-PV;FV;type)

The present value come in negative

So, after applying the above formula the monthly payment is $240.03

b. Now the total amount paid is

= Monthly payment × time period

= $240.03 × 180 months

= $43,205.04

c. Now the percentage is

For principal

= $25,000 ÷ $43,205.04 × 100

= 46.29%

And, for the interest, it is

= 100% - 46.29%

= 53.71%

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3 years ago

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stiks02 [169]

The algebraic expression is 9w.

Hope this helps!

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