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MakcuM [25]
2 years ago
10

Given the area of a triangle is 25x2 + 10x - 8 and the base is 5x + 4, write the algebraic expression for the height.

Mathematics
1 answer:
agasfer [191]2 years ago
5 0

Answer:

the height is 5x-2

Step-by-step explanation:

factor 25x^2+10x-8=(5x-2)(5x+4)

\frac{(5x-2)(5x+4)}{5x+4}

cancel like terms

height = 5x-2

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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
7. 4y(5y - 11) – 2y(3y + 10)
Kaylis [27]

Answer:

14y^{2} -64y

Step-by-step explanation:

Hello!

4y(5y - 11)

Distribute the 4y

4y * 5y = 20y^2

4y * -11 = -44y

Put it together

20y^2 - 44y

2y(3y + 10)

Distribute the -2y

-2y * 3y = -6y^2

-2y * 10 = -20y

Put it gether

-6y^2 - 20y

Put it all together

20y^2 - 44y - 6y^2 - 20y

Combine like terms

14y^2 - 64y

The answer is 14y^{2} -64y

Hope this helps!

5 0
3 years ago
Rhett is solving the quadratic equation 0 = x2 - 2x - 3 using the quadratic formula. Which shows the correct substitution of the
dem82 [27]

Answer: it’s a

Step-by-step explanation:

8 0
3 years ago
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What does the whole circle graph represent?
zhuklara [117]
It represents the entire data set and the triangles inside the circle graph represent part of the whole data set

3 0
3 years ago
Solve for x, 12y+6=6(y+1)
Vanyuwa [196]

For this case we must solve the following equation:

12y + 6 = 6 (y + 1)

We apply distributive property on the right side of the equation:

12y + 6 = 6y + 6

We subtract 6y on both sides of the equation:

12y-6y + 6 = 6\\6y + 6 = 6

We subtract 6 from both sides of the equation:

6y = 6-6\\6y = 0

Dividing by 6 on both sides of the equation:

y = 0

So, the result is y = 0

Answer:

y = 0

4 0
3 years ago
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