Can there be more than one point of intersection between the graphs of two linear equations

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

Multiplying both sides by 16 we get:

$256=3x^2$

Dividing both sides by 3 we get:

$\frac{256}{3} =x^2$

Using square root on both sides we get:

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

So, the base of triangle = $\frac{8}{\sqrt{3}} \ m.$

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

Thus, the height of triangle = $\frac{12}{\sqrt{3}} \ m.$

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

7 0

3 years ago

What are the 5 Key components for graphing the Parabola of a Quadratic Function?

ivolga24 [154]

Answer:

Axis of symmetry

y-intercept

x-intercepts

Vertex

(I forgot the last one)

Step-by-step explanation:

3 0

2 years ago

M is the midpoint of CF (line over it) for the points C(3,4) and F(9,8). Find MF

elena55 [62]

$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) \\(\frac{3 + 9}{2}, \frac{4 + 8}{2}) \\(\frac{12}{2}, \frac{12}{2}) \\(6, 6)$

Midpoint of CF: (6, 6)

3 0

3 years ago

Select all the relationships that demonstrate a positive association between variables.

Stells [14]

Answer:

O.Length of time you have walked and distance you have traveled.

O.Pounds of cherries you buy and amount of money you spend on cherries.

O.Number of people in a grocery check-out line and how long you have to wait to check out

Step-by-step explanation:

Please tell me this is correct and if it isn't I'm sorry if it is please mark Brainliest!

6 0

3 years ago

A _____ consists of two or more inequalities. At least one of these is nonlinear

serious [3.7K]

Answer:

Nonlinear system of inequalities

Step-by-step explanation:

3 0

3 years ago