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lutik1710 [3]
2 years ago
15

What is the area of the triangle?

Mathematics
1 answer:
liberstina [14]2 years ago
3 0

Answer:

48

Step-by-step explanation:

A = bh/2

A= 8 x 12 / 2

A= 96 / 2

A = 48

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Simplify the expression using the exponent properties 5 ^ −4 x 5^ −3
vodka [1.7K]

Answer:

5^{-7} or 0.0000128

Step-by-step explanation:

Add the exponents together

-4+-3=-7

3 0
3 years ago
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
2 years ago
Read 2 more answers
A group of mountain climbers begin an expedition with 270 pounds of food. They plan to eat a total of 15 pounds per day. Write a
Lisa [10]
Since they are starting with 270, the y intercept is going to be 270, now since they are losing 15 food everyday, the slope is going to be -15 so the final equation is y=-15x+270
4 0
3 years ago
Find the value of x.
Artemon [7]

{5}^{2}  +  {x}^{2}  =  {8}^{2}

25 +  {x}^{2}  = 64

Subtract both sides 25

25 - 25 +  {x}^{2}  = 64 - 25

{x}^{2}  = 39

Thus :

x =  \sqrt{39}

x = 6.245

6 0
2 years ago
Write this expression in simplified form.<br> -5x^6*9x^5
masya89 [10]

Answer:

-45x^11

Step-by-step explanation:

-5x^6 * 9x^5

Multiply -5x and 9x together:

-45x

Remember when multiplying powers, you add them together, which leaves you with:

-45x^11

5 0
3 years ago
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