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3 years ago

12

Eighty-five more than the square of a number is the same as the square of the quantity that is $17$ less than the number. What i

s the number?

1 answer:

Blababa [14]3 years ago

3 0

The answer I think is 20

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What is the equation of the graphed line in point-slope form?

SSSSS [86.1K]

First, we find the slope
(4,0)(0,-3)
slope = (-3 - 0) / (0 - 4) = -3/-4 = 3/4

there can be 3 possible answers for this..
y - y1 = m(x - x1)
slope(m) = 3/4
using points (4,0)...x1 = 4 and y1 = 0
now we sub
y - 0 = 3/4(x - 4) <== this is one answer

y - y1 = m(x - x1)
slope(m) = 3/4
using points (0,-3)...x1 = 0 and y1 = -3
now we sub
y - (-3) = 3/4(x - 0) =
y + 3 = 3/4(x - 0) <== here is another answer

y - y1 = m(x - x1)
slope(m) = 3/4
using points (-4,-6)...x1 = -4 and y1 = -6
now we sub
y - (-6) = 3/4(x - (-4) =
y + 6 = 3/4(x + 4) <=== and here is another answer

5 0

3 years ago

NO LINKS please. Someone help

irga5000 [103]

Answer:

square root of 65

Step-by-step explanation:

all i am going to say is, Pythagorean theorem.

5 0

3 years ago

Keelah's clothing store bicycles for $50 and then sells them for $80 what is the percent of markup on the price of the coat

kondaur [170]

Answer:

62.5%

Step-by-step explanation:

We can write a proportion. We know that $50 is the original value and $80 is the marked up price. We don't know the marked up percentage. Let's call it x. We write equal ratios of $\frac{x}{100}$ comparing percent and $\frac{50}{80}$ comparing the 50 to the marked up price. We then set them equal.

$\frac{x}{100} =\frac{50}{80}$

We then cross multiply across the equal sign from numerator to the opposite numerator.

80(x)=50(100)

80x=5000

We divide to find x.

x=62.5

This means the bicycles are marked up 62.5% and the original value is 37.5%.

8 0

3 years ago

Imagine working with a younger sibling or student who is having trouble with the 9 times table. Create an algorithm to help the

valkas [14]

9×1=09
9×2=18
9×3=27

as you can see the algorithm would most likely be deducting one from the second digit and adding it to the first digit

3 0

3 years ago

Read 2 more answers

Select the two values of x that are roots of this equation.

makkiz [27]

Answer:

$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

A quadratic equation is given to us.
The equation is 2x² + 7x +6=0

And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,

<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>

$\implies 2x^2 + 7x +6=0$

Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .

And 3 + 4 = 7. So we will break the middle term into 3x and 4x .

Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies 2x^2 + 3x+4x +6=0$

Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>

$\implies x(2x + 3) +2(2x +3)=0$

$\implies ( x +2)(2x+3)=0$

Step 4 : <u>Equate </u><u>them </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

<u>Hence </u><u>the</u><u> </u><u>correct</u><u> </u><u>options </u><u>are </u><u>C </u><u>and </u><u>D </u><u>.</u>

5 0

2 years ago