Answer:
n = √75
Step-by-step explanation:
n is the altitude of the right triangle.
Thus:
n = √(15*5) (right triangle altitude theorem/geometric mean theorem)
n = √75
All ratios equivalent to -40/5
Answer:
Equivalent ratios calculator that shows work to find the equivalent ratios for the given ratio with two or more numbers.
Step-by-step explanation:
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Find the equation of a parabola with focus F(-3, 9) and directrix x = -13.
Answer:
y² = 38x + 79
Step-by-step explanation:
Since directrix is the line x = -13, then it means x + 13 = 0
Focus is F(-3, 9).
Let A(x, y) be any point inside the plane having the focus and directrix.
Let MA be the perpendicular distance from A to the directrix and it means that A lies on parabola provided FA = MA.
Thus;
√[(x - (-3))² + (y - 9)²] = (x + 13)
Squaring both sides gives;
(x + 3)² + (y - 9)² = (x + 13)²
>> (x² + 6x + 9) + (y² - 18x + 81) = x² + 26x + 169
>> 6x + 9 + y² - 18x + 81 = 26x + 169
>> y² = 26x + 12x + 169 - 90
>> y² = 38x + 79
please help me, I’ve been on this for 30 mins + I’m an idiot
I think it's 3/7?
hope this helps
[tex]\sqrt(12-8x)=x-3[/tex]
Answer:
x = -3 and x = 1
Step-by-step explanation:
first, square each side
12 - 8x = x² - 6x + 9
x² + 2x - 3 = 0
(x - 1)(x + 3) = 0
x = -3
x = 1
Write the equation for the word problem and solve. You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
Answer: each eraser cost 5 dollors
Step-by-step explanation: Simplifying
25 = 5 + 4e
Solving
25 = 5 + 4e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-4e' to each side of the equation.
25 + -4e = 5 + 4e + -4e
Combine like terms: 4e + -4e = 0
25 + -4e = 5 + 0
25 + -4e = 5
Add '-25' to each side of the equation.
25 + -25 + -4e = 5 + -25
Combine like terms: 25 + -25 = 0
0 + -4e = 5 + -25
-4e = 5 + -25
Combine like terms: 5 + -25 = -20
-4e = -20
Divide each side by '-4'.
e = 5
Simplifying
e = 5
What is the factored form of the polynomial 3x-3y
Answer:
Step-by-step explanation:
3x - 3y = 3(x-y)
The FAFSA4caster cannot help students:
O A. decide which colleges to apply to.
O B. plan for upcoming expenses.
O C. learn about how to pay for college.
O D. perform better on standardized tests.
Answer:
is D perform better on standardized test
Step-by-step explanation:
IT IS CORRECT TRUST! you welcome
Write an equation in slope-intercept form of the line shown. (8, 4) (4, 1)
Step-by-step explanation:
m= 1-4/4-8 = -3/-4 = 3/4
y-1 = 3/4(x - 4)
y-1 = 3/4x -3
y = 3/4x -2
There is a direct path from Gail's house to the store. Do to construction, the direct route is closed and Gail must travel 6 miles east and an 8 miles north in order to get to the store. How long is the direct path from Gail's house to the store?
A)10 miles
B)12 miles
C)14 miles
Answer:
10 miles
Step-by-step explanation:
6 squared plus 8 squared = 100
the square root of 100 is 10 which is the hypotenuse of the route due to construction
Subtract
(5x^2-8x+7)-(2x^3+3x+1)
5x^2-11x-2x^3+6
Simplify the expression
answer: = -2x^2+6x+4
Please help me with maths
Answer:
Each pentagon angle is 108 no matter what.
so 108*3=324
360-324=36
Answer=36
How did the 5 turn into a 6
Answer:
because 5 and 1 pared up and became a 6 :)
Answer:
Because 5+1 equals 6?
Step-by-step explanation:
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Answer:
I) 616
II) 4.53
Step-by-step explanation:
For the first one, just plug in 7 as R.
A = 4 x (22/7) x 7^2
A = 12.57142857 x 49
A = 616
For the second, one, put 452 4/7 as A.
452 4/7 also is 258.285
258.285 = 4 x (22/7) x r^2
258.285 = 12.57142857 x r^2
Divide both sides by 12.57142857
20.55372408 = r^2
Square root 20.55372408 for R.
4.533621519 = R
OR
4.53 = R
BRAINLIEST TO CORRECT
9514 1404 393
Answer:
60
Step-by-step explanation:
Let x represent the number of members last summer. Then 90% more is 1.9x. We are told this is 114, so we have ...
1.9x = 114
x = 114/1.9 = 60
There were 60 members last summer.
I need help please! This is a 50-point reward so you would get your moneys worth!
1. Find the surface area of a geometric box, whose length, breadth and height are respectively
18 cm, 8 cm and 1.8 cm.
Answer:
259.2
Step-by-step explanation:
multiply 18 x 8 x 1.8 to get 259.2cm
The amount of time Mary spends on the phone each month can be thought of as a random variable that is approximately normally distributed. Mary spends an average of 40 hours on her phone with a standard deviation of 4 hours. Find the probability that Mary spends between 30 and 40 hours on the phone.
Answer:
0.4938
Step-by-step explanation:
Given that:
Mean, m = 40
Standard deviation, s = 4
Probability of spending between 30and 40 hours on phone :
Zscore = (x - mean) / standard deviation
P(Z = 40) - P(Z= 30)
((40 - 40) / 4) - ((30-40) / 4)
(0/ 4) - (-10/ 4)
P(Z < 0) - P(Z <-2.5)
P(Z^ 0).=0.5 ; P(Z < - 2.5) = 0.0062097
0.5 - 0.0062097
P = 0.4938
Refer to the diagram below. What is the scale factor used to create the new shape.
Answer:
The correct answer is A: 4/5
Step-by-step explanation:
We would divide 24/30 and get 4/5
Which value from the set { 1/2 , 2/3 , 4/3 , 5/2 } is a value of x that will make the equation 3/4 ÷ x = 9/8 true?
Answer:
2/3
Step-by-step explanation:
To find out what x is in this case, divide 3/4 by 9/8.
3/4 / 9/8
Dividing by a fraction is the same as multiplying it's inverse.
3/4 * 8/9
Cross cancellation (3 & 9 (GCF: 3); 4 & 8 (GCF: 4)
1/1 * 2/3
We can remove the 1/1.
2/3
2/3 is the value of x that will make 3/4 ÷ x = 9/8 true.
Question 7 of 12 Solve: 3x- 8 = 6(1 - 2x) + 16 O A. x = 2 O B. x = 5 O C. x= -2 O D. There are infinitely many solutions.
Answer:
A. x =2
Step-by-step explanation: Rearrange terms 3x - 8 = 6 ( 1 - 2x ) + 16 ---> 3x - 8 = 6 ( -2x + 1 ) +16
Distribute
Add the numbers
Add 8 to both sides of the equation
Simplify
Add 12x to both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify -------> x=2
simplify 7.2×10 to the power-3 - 9.5×10 to the power -5 plz step by step
Answer:
0.007105=1421/200000
Step-by-step explanation:
Find the radius of the circle. Please show work, thank you
Answer:
4.8
Step-by-step explanation:
Find the area of the larger sector.
Round to the nearest tenth.
Answer:
399.6 square miles
Step-by-step explanation:
The Area of a sector =
x/360° × πr²
r = 13.4 miles
x = 255°
Hence,
255°/360° × π × 13.4²
= 399.5739336 square miles
Approximately = 399.6 square miles
Answer:
399.6
Step-by-step explanation:
During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%
Write a rule for g. Describe the graph of g as a transformation of the graph of f.
f(x) = x^4 - 3x^2 - 2x, g(x) = - f(x)
Answer:
Step-by-step explanation:
Consider the system of equation
2x+3y=8
2x+6y=12
what could be the first step in solving the system of equations using elimination
a. Multiply the first equation by -1
b. Add 4 to both sides of the first equation
c. Add the two equations
d. Multiply the second equation by 2
Activity 2: Identify Me
Direction: Determine whether each pair of triangles is congruent by SSS, SAS, ASAor AAS. If it is not possible to prove that they are congruent, wnte NOT POSSIBLE
Step-by-step explanation:
SSS axiomSAS axiomASA axiomASA axiomSAS axiomSSS axiomThe first term of a geometric sequence is 4, and the common ratio is 5. What is the 5th term of the sequence?
a.2,500
b.12,500
c.1,024
d.500
Answer:
A) 2,500
Step-by-step explanation:
Soo.....
A1 = 4
A2 = 4*5 = 20
A3 = 20*5 = 100
A4 = 100*5 = 500
A5 = 500*5 = 2,500
a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour
Answer:
4 miles
Step-by-step explanation:
Answer:
4.5 miles
Step-by-step explanation:
18 miles 3 hours = 6 miles/hour
6 x (3/4) = 4.5 miles