1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DIA [1.3K]
3 years ago
15

Find all points having an x−coordinate of -4 whose distance from the point (4, 2) is 10.

Mathematics
1 answer:
julsineya [31]3 years ago
7 0
The\ distance\ between\ A(x_A;\ y_A)\ and\ B(x_B;\ y_B):\\\\d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\------------------------------\\\\A(-4;\ y);\ B(4;\ 2);\ d=10\\\\subtitute\\\\\sqrt{(4-(-4))^2+(2-y)^2}=10\\\\\sqrt{8^2+(2-y)^2}=10\\\\\sqrt{64+(2-y)^2}=10\Rightarrow64+(2-y)^2=10^2\\\\64+(2-y)^2=100\ \ \ \ |subtract\ 64\ from\ both\ sides\\\\(2-y)^2=36\iff2-y=-\sqrt{36}\ or\ 2-y=\sqrt{36}\\\\2-y=-6\ or\ 2-y=6\ \ \ \ |subtract\ 2\ from\ both\ sides\\\\-y=-8\ or\ -y=4\ \ \ |change\ the\ signs\\\\y=8\ or\ y=-4

Answer:\boxed{(-4;\ 8)\ and\ (-4;-4).}
You might be interested in
What is an equation of the line that is parallel to y=3x-8 and passes through point (4,-5)?
kompoz [17]
The equation of the line that is // to the given equation MUST HAVE THE SAME SLOPE.

The slope of the hiven equation is the number next to x or 3.

See it?

We know the slope is 3 and one point is given.

We now use the point-slope formula to find the equation.

y - y_1 = m(x - x_1)

See picture. The answer is y = 3x - 7.
5 0
3 years ago
please help me if you think you're beautiful hot funny kind lovely please help me please i wanna get a good grade please help me
Svetllana [295]
I disagree with her because for every 1 is six, it shouldn’t have +y on it that is just adding a number that is unneeded
8 0
3 years ago
If a=4b^2 and b=-1/2e^2, what is the value of a to the nearest tenth?
Maru [420]
To answer, it is assumed that e here is the Euler number which is equal to 2.718. Substitute this value to the e of the second equation to get the value of b.
                                 b = 0.5(2.718^2)  = 3.6945
Then, we substitute this value to the first equation to get the value of a.
                                        a = 4(3.6945^2) = 54.498
Thus, the answer is approximately equal to 54.5. 
3 0
3 years ago
Please help... #18 and #28
Vesna [10]
I hope this helps you

5 0
3 years ago
Read 2 more answers
The angle of depression from the top of a flag pole to a point on the ground is 30°. If the point on the ground is 75 feet from
Cerrena [4.2K]

Answer:

Height of flag pole to the nearest foot is 43 feet

Step-by-step explanation:

In the diagram we have flag pole AB and C is the point on the ground.

It is given that angle of depression is 30°

and the distance of the point C from the base B is 75 feet

so we have

BC= 75 feet  

∠C = 30°

AB= h feet

now in right ΔABC

tan C = \frac{opposite \ side }{base} \\tan C=\frac{AB}{BC}

now we plug AB= h , ∠C= 30° and BC =75

tan 30= \frac{h}{75}

75 tan30 = h            ( multiply both sides by 75)

h= 75 tan 30 =75 (0.5773)\\ h= 43.3 feet\\

Height of flag pole to the nearest foot is

h= 43 feet

7 0
3 years ago
Read 2 more answers
Other questions:
  • Nancy walked 516 yards in 6 minutes and then another 368 yards in 4 minutes. What was Nancy's average speed? * A. 89 yd/min B. 8
    9·1 answer
  • An object that weighs 150 pounds on earth weighs only 56.55 pounds on Mars.The same object weighs only 24.9 pounds on the moon.
    6·1 answer
  • You have orders to give a patient 20 mg of a certain medication. The medication is stored 4 mg per 5 mL dose. How many millilite
    8·2 answers
  • Which expression can be used to find 20 percent of 927
    14·2 answers
  • 1/3+1/8 answer fast help with a quation
    13·1 answer
  • Find the value of x. (geometry)
    7·1 answer
  • What is the measure of BD?
    12·1 answer
  • Jose made 5 2/3 cups of juice. He served 3/4 of it at dinner. Which equation shows the amount of juice that Jose served?
    8·1 answer
  • Identify the solution to the system of Equations. Explain how the graph shows this solution
    15·1 answer
  • Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!