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Mnenie [13.5K]
3 years ago
5

The simplification of 2(4²-3)-7-519 5112​

Mathematics
2 answers:
makvit [3.9K]3 years ago
7 0

Answer:

19

Step-by-step explanation:

To simplify this we need to follow the order of operations.

We begin with: 2(4^2-3)-7

First, we need to simplify the exponent

2(16-3)-7

Next, we need to do everything within the parenthesis

2(13)-7

Now we can multiply

26-7

And lastly, we can subtract

19

Serjik [45]3 years ago
6 0
The answer is 19



First we do the power
So, 2(16_3)_7

Then we do the brackets
So,
2(13)_7

Then multiplication
So, 26_17

So, 19
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Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he
Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, time=\frac{distance}{speed}

So, time for running= \frac{8}{x}

And time for riding= \frac{11}{x+9}

Equation becomes:

\frac{8}{x}+\frac{11}{x+9}=1.5

Now, multiply every term by 2x(x+9) to clear denominators:  

16(x+9)+22x=3x(x+9)

Simplifying it we get

3x^{2}-11x-144=0

Solve the quadratic equation using formula

x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x=\frac{-16}{3}

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

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4 years ago
Given the formula y = mx + b, what is the slope of a line, m, if x = 5, y = 7, and b =10?
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Draw Line HI perpendicular to Line JK<br> (be sure to include appropriate markings)
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To draw line HI perpendicular to JK we need to follow the given steps:

Place your compass on the given point (point H). Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc.

From each arc on the line, draw another arc on the opposite side of the line from the given point (H). The two new arcs will intersect.

Use your ruler to join the given point (H) to the point where the arcs intersect (I).

HI is perpendicular to JK.

What is perpendicular?

Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.

Properties of Perpendicular Lines

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  • If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
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To learn more about perpendicular lines,

brainly.com/question/1202004

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