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Burka [1]
3 years ago
15

Solve the equation. 6x^2 + 24x + 18

Mathematics
1 answer:
White raven [17]3 years ago
8 0
We can factor the equation.

6x^2 + 24x + 18 \\ \\ GCF = 6 \\ \\ 6 ( \frac{6x^2}{6} + \frac{24x}{6} + \frac{18}{6} ) \ / \ factor \ out \ GCF \\ \\ 6(x^2 + 4x + 3) \ / \ simplify \ parentheses \\ \\ 6 (x + 1)(x + 3) \ / \ factor \ parentheses \\ \\ Answer: \fbox {6(x + 1)(x + 3)}
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Which shapes contain at least one right angle?<br><br> Select each correct answer.
Andrej [43]
1: Trapezoid
2: rectangle!

STEP BY STEP EXPLINATION


A right angle is exactly 90 degrees, so if the pentagon has 108 degree angles, it’s not a right Angle!

The parallelogram has 107 degree angles and 73 degree angles, it’s not exactly 90.
The trapezoid has two right angles! The two sides make a right angle at the vertex! So, it has a right angle!
Same thing for the rectangle!



HOPE THIS HELPS! HAVE A GREAT DAY!
8 0
2 years ago
Read 2 more answers
F(x) = -2x²-2x+10, find f(2)
beks73 [17]

Answer:

f(2) = -2

Step-by-step explanation:

Substitute 2 everywhere you see an x so f(2) = -2(2^{2}) - 2(2) + 10 so

f(2) = -2(4) - 4 + 10, so f(2) = -8-4+10, f(2) = -12+10, f(2) = -2

3 0
3 years ago
Help!!! I don’t understand how to do this
Olegator [25]

Answer:

85 degrees

Step-by-step explanation:

the sum of supplementary angles=180

155+ angle in the triangle=180

angle=180-155

angle=25 degrees

the sum of angles of triangle=180

25+60+x=180

85+x(inside triangle)=180

x=180-85

x=95

angle with (?):

the sum of supplementary angles=180

95+(?)=180

(?)=180-95

(?)=85 (An exterior angle of a triangle is equal to the sum of the opposite interior angles)

3 0
3 years ago
7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
motikmotik

Answer:

a.) 20 kilometers

b.)1.67 hours

Step-by-step explanation:

a.) formula= speed =distance/time

Speed= 10km/hr

Distance=unknown

Time=2hrs

Therefore from formula, distance=speed x time

10 x 2

20 kilometers

b.) If average speed is increased by 2km/hr then

total speed= 2+10=12km/hr

Distance remains constant therefore distance= 20km

Therefore time =distance/speed

20/12

= 1.67 hours

7 0
3 years ago
Jared has some quarters and dimes that total $5.50. If he has 8 more quarters that dimes, how much dimes does Jared have?
MAXImum [283]
Answer: 10 dimes

Solve using system of equations.
q=number of quarters and d=number of dimes
.25q+.10d=5.50 because the total of dimes and quarters is $5.50
8+d=q because there are 8 more quarters than dimes
substitute 8+d for q into the first equation to get .25(8+d)+.10d=5.50
then simplify
2+.35d=5.50
.35d=3.50
d=10 he has 10 dimes
8 0
4 years ago
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