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Delicious77 [7]

3 years ago

10

Factor this polynomial completely. x^2 + 3x -18

1 answer:

ArbitrLikvidat [17]3 years ago

8 0

Answer:

$(x+6)(x-3)$

Step-by-step explanation:

$x^2+3x+18$

$x^2+6x-3x-18$

$x(x+6)-3(x+6)$

$(x+6)(x-3)$

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Solve K/2 + 5 - 2k = 6k

pantera1 [17]

Answer:

k = 2/3 is the answer!

Step-by-step explanation:

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4 0

3 years ago

The graph of the equation y=|x+5| is shifted 2 units up and 6 units to the right. Rewrite the equation of the new graph for the

DerKrebs [107]

Answer:

Step-by-step explanation:

To move the graph 6 units to the right, subtract 6 in the absolute value.

y=|x+5-6|

To move it up, add 2 outside the absolute value.

y=|x+5-6|+2

Now remove the absolute values since x>1.

y=x+5-6+2

y=x+1

4 0

4 years ago

"find the cost per ounce of a sunscreen made from 140 oz of lotion that cost $3.45 per ounce and 90 oz of lotion that cost $14.0

Olegator [25]

Sunscreen approx. 40.6 cents an oz
Lotion 6.4 cents an oz

5 0

4 years ago

Carl button airline ticket two weeks ago the cost of this flight was $300 what is the percent increase

kumpel [21]

3% is the percent increase

8 0

3 years ago

Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

$base^2+perpendicular^2=hypotenuse^2$

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

3 0

3 years ago