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3 years ago

Use your knowledge of similar triangles to solve for x

Mathematics

1 answer:

MrMuchimi3 years ago

6 0

9514 1404 393

Answer:

x = 10 2/3

Step-by-step explanation:

The ratios of corresponding sides are the same, so we have ...

x/8 = 8/6

x = 8·(8/6) = 64/6

x = 10 2/3

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Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor t

ICE Princess25 [194]

Answer:

The roots of the polynomial are;

3 + 2i

and 3-2i

Step-by-step explanation:

Here, we want to solve the given polynomial using the completing the square method

We start by dividing through by 8

This will give;

x^2 - 6x = -13

To complete the square, we simply divide the coefficient of x by 2 and square it

We have this as -6/2 = -3

square it;; = (-3)^2 = 9

Add it to both sides

x^2 - 6x + 9 = -13 + 9

x^2 - 6x + 9 = -4

(x-3)^2 = -4

Find the square root of both sides

x-3 = ±2i

x = 3 + 2i

or x = 3-2i

8 0

3 years ago

Read 2 more answers

The distance d in miles that can be covered by a rabbit in X hours is given in the equation y = 30 x The distance covered by a b

AveGali [126]

Answer:

Rabbit is faster than bear.

Step-by-step explanation:

Speed of rabbit or bear is determined by their rate of change of their distances with time.

The distance covered by rabbit in $x$ hours is given as:

$y=30x$

The above equation is of the form $y=mx$ , where, $m$ is the rate of change of $y$ with $x$ .

Therefore, the rate of change of rabbit's distance with time is 30 mi/h.

Now, from the graph, the slope is given as the rise over run.

Rise is 50 miles and run is 2 miles.

So, rate of change of bear's distance with time is, $m_b=\frac{50}{2}=25\ mi/h$

Now, 30 is greater than 25. So, rabbit is faster than bear.

6 0

3 years ago

WILL GIVE THE BRAINLIEST AND 99 PTS<br><br> Q-What is 8% of 1000

tatuchka [14]

Answer: 80

Step-by-step explanation:

1000 * 0.08 = 0.80 = 80

4 0

3 years ago

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A bread recipe calls for 2 cups of wheat flour and 3 1/4 cups of white flour. How much flour does the recipe call for altogether

marusya05 [52]

Answer:

Step-by-step explanation:

2+3.25=5.25 or 5 1/4 cups of flour total

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3 years ago

What are my like terms here: <br><br> 4b, b, 7, 9b

netineya [11]

Answer:

4b, b, and 9b are like terms

Step-by-step explanation:

7 0

3 years ago