All categories

2 years ago

Select an equation that passes through the point (5,7) and is perpendicular to the line x=4

Mathematics

1 answer:

alexandr1967 [171]2 years ago

8 0

y = 7

x = 4 is a vertical line parallel to the y- axis passing through all points with an x- coordinate of 4

A line perpendicular to x = 4 will be a horizontal line parallel to the x- axis with equation y = c where c is the value of the y- coordinate the line passes through.

line passes through (5 , 7) with y- coordinate 7

The equation is therefore y = 7

You might be interested in

Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is i

Romashka-Z-Leto [24]

0.08 cm/min

Step-by-step explanation:

Given:

$\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}$

Find $\frac{dr}{dt}$ when diameter D = 20 cm.

We know that the volume of a sphere is given by

$V = \dfrac{4\pi}{3}r^3$

Taking the time derivative of V, we get

$\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}$

Solving for $\frac{dr}{dt}$ , we get

$\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})$

$\:\:\:\:\:\:\:= 0.08\:\text{cm/min}$

3 0

2 years ago

The measure of an angle is 27°. What is the measure of its supplementary angle?

Leya [2.2K]

Answer:

153 degrees is the measure of the supplementary angle

3 0

3 years ago

GEOMETRY HELP) Triangle ABC is similar to triangle PQR. <br><br><br><br> Which equation is correct?

kirill115 [55]

Hello,

We must find the corresponding points: (using angles)

A-->P
B-->Q
C-->R

AB/PQ=BC/QR=AC/PR ===> c/r=a/p=b/q

Answer C

3 0

3 years ago

Can somebody help me simplify these problems please?

Mazyrski [523]

1: answer: 4^6 ( reduce the fraction with 4^3)

2: answer: 1 ( any nonzero expression raised to the power of 0 equals 1 )

3: answer 3^8
steps: (3^2)^4 = 3^2×4 ( to raise a power to another Power multiply the exponents)
3^2×4 = 3^8 ( multiply the 2 and the 4 exponent to get a 8 as a exponent )

7 0

2 years ago

Use the midpoint formula to find the midpoint between H(3, 9) and J(9, -2).

TiliK225 [7]

Hello!

The midpoint formula is basically an average of x and y.

It is also written as: $(\frac{x_{1}+x_{2}} {2},\frac{y_{1}+ y_{2}} {2})$ .

With the formula above, we can substitute the given points into the equation, and simplify.

$(\frac{3 +9}{2}, \frac{9+(-2)}{2}) = (\frac{12}{2}, \frac{7}{2}) = (6, 3.5)$

Therefore, the midpoint between points H and J is choice D, (6, 3.5).

3 0

2 years ago