Answer:
Step-by-step explanation:
P1 = (3.5,5) in the form (x1,y1)
P2 = (3.5,-12) in the form (x2,y2)
dist = sqrt[ (x2 - x1)^2 + (y2-y1)^2 ]
dist = sqrt[ (3.5-3.5)^2 + (-12-5)^2 ]
dist = sqrt [ 0 -17^2]
dist = 17
Which of the following is a point-slope equation of a line that passes through
the points (10,5) and (4, - 7)?
O A. y-10 - -2(x-5)
B. y-5 = 2(x-10)
O C. y-10 - 2(x - 5)
O D. y-5--2(x-10)
Answer:
Step-by-step explanation:
In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,
[tex]m=\frac{-7-5}{4-10}=\frac{-12}{-6}=2[/tex] So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)
y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):
y - (-7) = 2(x - 4) and simplified:
y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B
The area of A PQR is 15 m², and p = 5 m, q = 10 m.
Find the possible measure of angle R (in degrees)
- Leona Bahr is paid a commission of 12% on all sales above $7,000 for the week. She is also paid a weekly salary of $380. What are her total earnings for a week in which her sales were $9,800?
Answer:
716
Step-by-step explanation:
9800-7000=2800 sales over 7000
2800 x .12=336 commission
380 (salary) + 336 (commission)=716 Total earnings
Let f(x) = 3x + 5 and g(x) = x2. Find and state its domain.
Answer:
The answer f (x^2) = 3x^2 + 5
Step-by-step explanation:
hmm... i don't really know how to explain how I did it but that's the answer
Help me...!
!!
!!
!!
!!
The answer to this question is:
2 ¾ inches.
A 13 inch piece of steel is cut into three pieces so that the second piece is twice as long as first piece, and the third piece is one inch more than three times the length of the first piece. Find the length of the piece
Answer:
The first piece is 2 inches, the second piece is 4 inches, and the third piece is 7 inches.
Step-by-step explanation:
Since a 13 inch piece of steel is cut into three pieces so that the second piece is twice as long as first piece, and the third piece is one inch more than three times the length of the first piece, to find the length of the pieces, the following calculation must be performed:
1 = X
2 = 2X
3 = 1 + 3X
X + 2X + 3X + 1 = 13
6X = 13 - 1
X = 12/6
X = 2
Therefore, the first piece is 2 inches, the second piece is 4 inches, and the third piece is 7 inches.
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?
Given :
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.
To Find :
What angle of depression does the airplane need to use to reach the runway?
Solution :
Let, angle of depression is [tex]\theta[/tex] .
So,
[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]
Hence, this is the required solution.
Choose all of the following relationships that represent functions
I need help I have been stuck on this for years. Plz anything helps
9514 1404 393
Answer:
see below
Step-by-step explanation:
Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.
Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).
How many 3-letter words can we make from the letters A, B, C, and D, if we are allowed to repeat letters, and we must use the letter A at least once? (Here, a word is an arbitrary sequence of letters.)
what triangle has the Definition A right triangle in which the legs are congruent.
9514 1404 393
Answer:
An isosceles right triangle
Step-by-step explanation:
Any triangle with a congruent pair of sides is an isosceles triangle. If the triangle is also a right triangle, it is ...
an isosceles right triangle
__
The sides will have the ratios 1 : 1 : √2, and the acute angles will be 45°.
Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
4
4 - 6x
A. 8+226x
16 - 6x
B. 8+ 2162
846
C.
2 + V6
4- 6x
D. 8. 216
8 - 3x
UN
1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4
Answer:
8+2√6x / 8-3x
Step-by-step explanation:
yes
4th grade math question
Answer:
1 1/6
Step-by-step explanation:
the problem is asking you to do 1/6 7 times. Lets break it down and make it 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6
so lets add the all the numerators 1 plus 1 plus 1 plus 1 plus 1 plus 1 plus 1 is 7
the numerator value is 7 and you dont add the denominator so it stays as 6
so the answer is 7/6 or 1 1/6 as a mixed number
Answer:1 1/6
Step-by-step explanation: The answer is one and one sixth because when you imagine that the 7 is over one, when you times it you get 7/6 and that is 1/ 1/6
solve
(3431)−2/3÷(491)3/2
a. 16807
b.343
c.49
d.2401
- 12. What is the greatest common factor of 120 and 84?
e.
a. 3
b. 6
12
18
d.
Answer:
12 (the third one is the greatest common factor of 120 and 84)
Answer:
12
Step-by-step explanation:
factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120
factors of 84: 1,2,3, 4,6,7,12,14,28,42,84
greatest common factor=12
PLEASE HELP i dont know the answer for: Chose an equivalent ratio 15 cats to 20 dogs. choices: A. 4 to 5. B. 3 to 4. C. 3 to 5. D. 10 to 15.
Answer:
D 10 to 15 is the answer correct
I need help with this with work asap thank you
Answer:
multiply all sides (5.5 x 6 x 8.5) which results to 261.5 ft squared
Someone tell me what the answer
Answer:
can you please put a better picture?
Twice a number divided by 5 gives 4
simple equations
Answer:
x=10
Step-by-step explanation:
Let the number = x
∴ 2x/5=4
∴2x=5*4
∴2x=20
∴x=20/2
∴x=10
Hope it helps you!
Mark as brainliest if you like it
Answer:
2x / 5 = 4
x = 10
Step-by-step explanation:
Twice a number divided by 5 gives 4
2x / 5 = 4
2x / 5 = 4
Multiply both sides by 5
2x = 20
Divide both sides by 2
x = 10
The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise all tourism related costs by 10%. Find the coefficient of variation for the cost of a week long vacation in this city after the tax is imposed.
Answer:
The coefficient of variation after the tax is imposed is 0.033
Step-by-step explanation:
Given
[tex]\mu =1000[/tex] --- mean
[tex]\sigma^2 = 1200[/tex] --- variance
[tex]tax = 10\%[/tex]
Required
The coefficient of variation
The coefficient of variation is calculated using:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
After the tax, the new mean is:
[tex]\mu_{new} = \mu * (1 + tax)[/tex]
[tex]\mu_{new} = 1000 * (1 + 10\%)[/tex]
[tex]\mu_{new} = 1100[/tex]
And the new variance is:
[tex]\sigma^2_{new} = \sigma^2 * (1 + tax)[/tex]
[tex]\sigma^2_{new} = 1200 * (1 + 10\%)[/tex]
[tex]\sigma^2_{new} = 1320[/tex]
So, we have:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
[tex]CV = \frac{\sqrt{1320}}{1100}[/tex]
[tex]CV = \frac{36.33}{1100}[/tex]
[tex]CV = 0.033[/tex]
2. Evaluate the expression when x = 7 and y = 4 x * y - 4(2)
Answer:
20
Step-by-step explanation
7*4=28
28-4=24
4(2)=8
28-8=20
hope that helped!!
Answer:
y = 8/27
Step-by-step explanation:
given
x = 7
y = 4x*y - 4(2)
y = 4*7*y - 8
y = 28y - 8
8 = 28y - y
8 = 27y
8/27 = y
to prove
y = 4x*y - 4(2)
8/27 = 4*7*y - 8
8/27 = 28*8/27 - 8
8/27 = 224/27 - 8
8/27 = 224 - 27*8/27
8/27 = 8/27
hence it is proved that y is 8/27 .
Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. The local Tupperware dealers earned these commissions last month: $1077.28, $2661.13, $4642.11, $4264.15, $1019.55, $3444.20, $2525.92, $3740.26, $3533.07, $1633.84 What was the mean commission earned? Round your answer to the nearest cent.
Answer:
the mean commission earned is 2854.15
Step-by-step explanation:
The computation of the mean commission earned is shown below'
The mean is
= ($1077.28 + $2661.13 + $4642.11 + $4264.15 + $1019.55 + $3444.20 + $2525.92 + $3740.26 + $3533.07 + $1633.84) ÷ 10
= 2854.15
Hence, the mean commission earned is 2854.15
The same should be considered and relevant
Can anyone solve this?
Answer:
They are congruent
Step-by-step explanation:
The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.
Which of the following is geometric sequence
A. 1,1/2,1/4,1/8
B.2,4,6,8
C.1,1,2,3,5
D.7,4,1,-2
Answer:
A
Step-by-step explanation:
...................
Answer:
here's the whole unit test
Step-by-step explanation:
ur welcomeeeee ;)
accounting equation is what
The points (-6, r)
and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.
Answer:
r=-6
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6[/tex]
Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of minutes student spend moving from class to class?
Answer:
10/120
Step-by-step explanation:
r- 17.3 = -3.2 what's the answer to this?
Solve for x. Round to the nearest tenth, if necessary. C С B x 25 34° А
Help with this problem please.
Answer:
59 or I’m wrong
Step-by-step explanation:
Answer:
x=20.7
Step-by-step explanation:
using cosine...
cos 34=adjacent/hypotenuse
cos 34=x/25
Cross multiply
x=cos 34 ×25
x=20.72593931
x≈20.7(to the nearest tenth)
Graph the circle x2 + y2 – 14x + 2y +41 = 0.
y
9
7
8
7.
6+
5.
4
3-
2+
-9-8-7-6-5-4-3-2
+++ 2
2 3 4 5 6 7 8 9
-2
-3
-4
-5
-6-
-7
Answer:
a
Step-by-step explanation:
Quadratic
4x2+8x+27=88
Answer:
Step-by-step explanation:
Answer:
4x²+8x+27=88
[tex]x = \frac{2 - \sqrt{65} }{2} \\ x = \frac{2 + \sqrt{65} }{2} \\ [/tex]
x= 3.03 , –5.03