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Ronch [10]
3 years ago
15

Complete the square to solve the equation below.

Mathematics
2 answers:
Goryan [66]3 years ago
8 0

Answer:

D. 2

Step-by-step explanation:

x2 +8x-1=19

x2+8x-20=0

x2+8x +(8/2)^2 - (8/2)^2 -20=0

x2+8x+16-16-20=0

x2+8x-36=0

(x+4)^2 =36

X+4=6

X=6-4. X=6+4

X=2, X=10

jenyasd209 [6]3 years ago
3 0

Answer: X= -10, and X=2

Step-by-step explanation:

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there are 24 marbles in a bag: 2/16 of the marbles are red, 1/8 of the marbles are blue, 1/4 of the marbles are yellow, 1/3 of t
Roman55 [17]

Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles

Step-by-step explanation:

I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.

For examples, 2/16 of the marbles are red. 2/16=x/24

You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.

Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3

You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.

4 0
3 years ago
Solve for x Round to the nearest tenth one place after the decimal !
aniked [119]

Answer:

x = 14.4

Step-by-step explanation:

x is sin(angle 24/30)×24

how do we get the angle at 24/30 ?

by using the extended Pythagoras for baselines opposite other than 90 degrees.

c² = a² + b² - 2ab×cos(angle opposite of c)

in our example the angle 24/30 is opposite of the side 18.

so,

18² = 24² + 30² - 2×24×30×cos(angle 24/30)

324 = 576 + 900 - 1440×cos(angle 24/30)

324 = 1476 - 1440×cos(angle 24/30)

1440×cos(angle 24/30) = 1152

cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5

angle 24/30 = 36.9 degrees

x = sin(36.9) × 24 = 14.4

4 0
3 years ago
This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters
I am Lyosha [343]

Answer:

Scale factor for the drawing from actual park = \frac{1}{20}

Area of the actual park = 1200 cm²

Step-by-step explanation:

Length of the rectangular city park = 5 cm

Width of the rectangular park = 6 cm

Using scale factor 1 cm = 20 meters

Scale factor = \frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}

\frac{5}{\text{Actual length of park}}=\frac{1}{20}

Actual length = 5 × 20 = 100 meters

Actual width = 6 × 20 = 120 meters

Area of the rectangular park = length × width

                                               = 100 × 120

                                               = 1200 square meters

Therefore, Scale factor from actual length to the length in drawing = 1 : 20

Area of the rectangular park = 1200 square feet

7 0
3 years ago
Any number that CAN be divided by 2 without having remainder is considered an _______ number
azamat

Step-by-step explanation:

Any number that can be divided by 2 without having remainder is considered an even number.

I hope it helped U

stay safe stay happy

8 0
3 years ago
A veterinarian in Camperville zoo needs to weigh the big bear. Which would be the most appropriate unit of measure?
Doss [256]

Answer:

Kilograms

Step-by-step

A meter is distance

A kilogram is weight

A liter is related to ounces

A cup is how much of something

3 0
3 years ago
Read 2 more answers
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