All categories

4 years ago

If the midpoint between (x, 3) and (9, 9) is (7, 6), find the value of x.

1 answer:

5 0

The midpoint formula states that the midpoint is equal to (x1 + x2/2, y1 + y2/2). However, in this instance, we only have to deal with the x-values because that is where our unknown variable x is. Using our formula for the x-values, we can set up the following equation:

(x + 9)/2 = 7

To solve this equation, we must first multiply both sides by 2 to get rid of the denominator on the left side of the equation.

x + 9 = 14

Next, we should subtract 9 from both sides of the equation to get the variable x alone on the left side.

x = 5

Therefore, your answer is x=5.

Hope this helps!

You might be interested in

Angle M has a measure between 0° and 360° and is coterminal with a –620° angle. What is the measure of angle M

dolphi86 [110]

The answer is 100 degrees

4 0

4 years ago

Yuki bought a pound of confetti for \$12$12. What is the price, in dollars, per ounce of confetti? There are 1616 ounces in 11 p

tatiyna

Answer:

$0.75

Step-by-step explanation:

We have been given that Yuki bought a pound of confetti for $12.

To find the price of per ounce of confetti, we will divide the total price of 1 pound confetti by number of ounces in 1 pound.

1 pound = 16 ounces.

Let us divide 12 by 16 to find the price of confetti per ounce.

$\text{Price of per ounce confetti}=\frac{12}{16}$

$\text{Price of per ounce confetti}=\frac{3}{4}$

$\text{Price of per ounce confetti}=0.75$

Therefore, the price of per ounce confetti is $0.75.

3 0

4 years ago

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

4 years ago

Convert to a form that reveals the zeros

Olin [163]

Answer:

$y=(x-3)(x-6)$

Step-by-step explanation:

Factor the expression to give you the result, or you can use the quadratic formula and notice you get 3 and 6.

5 0

3 years ago

Olga simplifies the expression x + 7x to 7x2. Use the drop-down menus to complete the statements below to explain why Olga's sol

Tcecarenko [31]

Answer: Olga's solution is incorrect

x + 7x is the same as 1x + 7x

7x2 is the same as 7x. x

x + 7 x simplifies to 8x

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers