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Minchanka [31]
3 years ago
10

Evaluate a² + 2b when a = ⅘, and b = ⅖

Mathematics
2 answers:
IRINA_888 [86]3 years ago
8 0

Answer:

Brainleist here!

Step-by-step explanation:

4/5 ^2 + 4/5

16/25 + 4/5

16/25+20/25

36/25

1.44

Bas_tet [7]3 years ago
6 0

Answer:

1 11/25

Step-by-step explanation:

a² + 2b

a = ⅘, and b = ⅖

(4/5)^2 + 2*2/5

16/25 + 4/5

Get a common denominator

16/25 + 4/5*5/5

16/25 + 20/25

36/25

1 11/25

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What's the midpoint of a line segment joining the points (5, –4) and (–13, 12)?
Vikki [24]

Answer:

The midpoint of the line segment is located at (-4, 4).

Step-by-step explanation:

We're given the coordinate points of a line that can help us find the midpoint.

The midpoint formula for a line is written as:

\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)

Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.

In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.

Therefore, we can label our two coordinates:

<u>(5, -4)</u>

  • x₁ = 5
  • y₁ = -4

<u>(-13, 12)</u>

  • x₂ = -13
  • y₂ = 12

Now, we can place these values into the midpoint formula and simplify to find our midpoint.

Recall that the midpoint formula is:

\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)

Therefore, let's substitute these values.

\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}

Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.

8 0
3 years ago
Read 2 more answers
If you help me I'll make as brilliant​
bekas [8.4K]
B is the answers I think so
6 0
3 years ago
Simplify the product by using FOIL <br><br> (6x-5)(2x-3)
Lapatulllka [165]

12x²-8x-15 should be your answer

3 0
3 years ago
A giant tortoise can travel 0.11 miles in 1 hour. At this rate, how long would it take the tortoise to travel 3 miles?
lakkis [162]

Answer:

about 27.27 hours.

Step-by-step explanation:

If it can travel 0.11 miles in 1 hour, we need to divide 3 miles by 0.11 miles to get the number of hours it would take to travel 3 miles. 3/0.11 is 27.27 repeating.

Hope this helps!

4 0
2 years ago
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Find the average rate of change.<br><br> p(x) = 6x + 7 on [2, 2 + h] , h ≠ 0
siniylev [52]

Answer:

6.

Step-by-step explanation:

This is [p(2+h))  - p(2) ] /  ((2 + h - 2)

= [ 6(2) + h) + 7 - (6(2) + 7)] / h

=  (  12 + 6h + 7 - 12 - 7) / h

=  6h / h

= 6.

4 0
3 years ago
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