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3 years ago

5

Fraction 13/250 as a decimal

2 answers:

Scrat [10]3 years ago

7 0

0.052 divided the bottom by the top to get the decimal (for next time)

Luba_88 [7]3 years ago

5 0

To find the decimal form of 13/250 you must divide 13 by 250 which is 0.052

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What is the slope of the line that passes through the points<br> (3, -7) and (-5, 17)?

MatroZZZ [7]

-3 is the slope, use y2 - y1 over x2 - x1 equation to solve

4 0

2 years ago

What are the real zeroes of x3 + 6 x2 – 9x - 54?

o-na [289]

Answer:

Option B 3,-3,-6 is correct.

Step-by-step explanation:

We need to find real zeroes of $x^3+6x^2-9x-54$

Solving

$x^3+6x^2-9x-54\\=(x^3+6x^2)+(-9x-54)$

Taking x^2 common from first 2 terms and -9 from last two terms we get

$=(x^3+6x^2)+(-9x-54)\\=x^2(x+6)-9(x+6)\\$

Taking (x+6) common

$(x+6)(x^2-9)\\$

x^2-9 can be solved using formula a^2-b^2 = (a+b)(a-b)

$=(x+6)((x)^2-(3)^2)\\=(x+6)(x+3)(x-3)$

Putting it equal to zero,

$(x+6)(x+3)(x-3) =0\\x+6 =0, x+3=0\,\, and\,\, x-3=0\\x=-6, x=-3\,\, and\,\, x=3$

So, Option B 3,-3,-6 is correct.

7 0

3 years ago

Use a model to divide. 1 ÷ 1/5

arlik [135]

This is the answer to the question

4 0

3 years ago

Three collinear points on the coordinate plane are r(x,y), s(x+8h, y+8k), and p (x+6h, y+6k)

Karo-lina-s [1.5K]

Answer:

A. $\frac{RP}{SP}=3$

B. $\frac{RP}{RS}=\frac{3}{4}$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Three collinear points on the coordinate plane are R(x, y), S(x+8h, y+8k), and P(x+6h, y+6k).

<em>Part A: Determine the value of RP/SP</em>

<em>Part B: Determine the value of RP/RS</em>

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$R(x,y),S(x+8h,y+8k) and P(x+6h,y+6k)$

Part A.We have to find the value of $\frac{RP}{SP}$

step 1

Find the distance RP

$R(x,y),P(x+6h,y+6k)$

substitute the values in the formula

$RP=\sqrt{(x+6h-x)^2+(y+6k-y)^2}$

$RP=\sqrt{36h^2+36 k^2}$

$RP=6\sqrt{h^2+k^2}$

step 2

Find the distance SP

$S(x+8h,y+8k),P(x+6h,y+6k)$

substitute the values in the formula

$SP=\sqrt{(x+6h-x-8h)^2+(y+6k-y-8k)^2}$

$SP=\sqrt{4h^2+4k^2}$

$SP=\sqrt{4(h^2+k^2)}$

$SP=2\sqrt{h^2+k^2}$

step 3

<em>Find the ratio RP/SP</em>

$\frac{RP}{SP}=\frac{6\sqrt{h^2+k^2}}{2\sqrt{h^2+k^2}}$

$\frac{RP}{SP}=3$

Part B. We have to determine the value of $\frac{RP}{RS}$

step 1

Find the distance RS

$R(x,y),S(x+8h,y+8k)$

$RS=\sqrt{(x+8h-x)^2+(y+8k-y)^2}$

$RS=\sqrt{64h^2+64k^2}$

$RS=\sqrt{64(h^2+k^2)}$

$RS=8\sqrt{h^2+k^2}$

step 2

<em>Find the ratio RP/RS</em>

$\frac{RP}{RS}=\frac{6\sqrt{h^2+k^2}}{8\sqrt{h^2+k^2}}$

$\frac{RP}{RS}=\frac{3}{4}$

5 0

3 years ago

mrs. hamilton worked for a real estate agency. she sold a house for $175,000. the agency's fee for the sale was 4% of the sales

topjm [15]

Selling Price of the house = $175 000

Agency Commission = 4% of $175000
Agency Commission = 0.04 x 175000 = $7000

Percentage of Hamilton's commission = 4725/7000 x 100 = 67.5%

----------------------
Answer: 67.5%
----------------------

3 0

3 years ago