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3 years ago

8

during a bike racing contest Richard covered 2 1/2 laps and Charles covered 7 7/8 laps did they cover 10 laps together if they w

ent over 10 laps how many extra laps did they cover if not how many more laps did they they need to reach? show your work and explain.

1 answer:

densk [106]3 years ago

8 0

Answer:

Step-by-step explanation:

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Divide. write in smplest form 12÷2 2/7

Anit [1.1K]

I hope this helps you

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3 years ago

8 1/2 + 7 2/3 + 4 1/2

SCORPION-xisa [38]

Answer:

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Step-by-step explanation:

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2 years ago

Angle of a triangle measures 115° the other two angles are in the ratio of 4:9 what are the measures of those two angles

nasty-shy [4]

Answer:

20, 45

Step-by-step explanation:

A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles must add up to 65.

The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9

A ratio partition parts of something. We can add the ratio intergers to find it full length.

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2 years ago

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Goryan [66]

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2 years ago

Read 2 more answers

Solve this equation for x: 2x^2 + 12x - 7 = 0

zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

$x^2 + 6x=\frac{7}{2}$

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3= $3^2$

Therefore, we have:

$x^2 + 6x+3^2=\frac{7}{2}+3^2$

Step 4: Write the Left Hand side in the form $(x+k)^2$

$(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\$

Step 5: Take the square root of both sides and solve for x

$x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355$

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2 years ago