Since our line is perpendicular to this line, the slope of
our line is the negative reciprocal of 1/4, which is -4/1.
Remember, negative reciprocal is just a fancy way
of saying flip the fraction and change the sign.
So the slope of our line is -4/1 and we use this slope along
with our given point to write the equation of our line.
Start with the point-slope formula.
Y - y1 = m(x - x1).
~Substitute
Y - -2 = -4/1(x - 5).
Minus a negative is plus a positive.
Y + 2 = -4/1x + 20.
Subtract 2 from both sides.
Y = -4/1x + 18
So, our answer is C.
Find the midpoint of (6, 4), and (0,2).
Answer:
(3,3)
Step-by-step explanation:
Using the midpoint formula:
[tex]m=\left( \dfrac{6+0}{2},\dfrac{4+2}{2} \right)=\left( \dfrac{6}{2},\dfrac{6}{2} \right)=(3,3)[/tex]
Hope this helps!
The least common denominator of 1/2, 1/6, and 1/9 is:
Answer:
18
Step-by-step explanation:
Find the factors of each denominator
2 = 1*2
6 = 2*3
9 = 3*3
The least common multiple is
2*3*3 = 18
The least common denominator is 18
Answer:
The LCD is 18.
Step-by-step explanation:
2 = 2
6 = 2*3
9 = 3 * 3
The Least Common Multiple = 2 * 3* 3 = 18 (because there is 1 pairs of 2's and 1 pair of 3's in the factors, so only 1 of each appear in the calculation).
The coordinates of points A and B are (2, 4) and (-2,-4)
respectively. What is the slope of the line that connects the two
points?
A. 2
B. 1/2
C. 1
D. 1/4
Answer:
A
Step-by-step explanation:
slope= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of the line
[tex] = \frac{4 - ( - 4)}{2 - ( - 2)} \\ = \frac{4 + 4}{2 + 2} \\ = \frac{8}{4} \\ = 2[/tex]
The right answer is 2.
look at the attached picture
Hope it helps
Good luck on your assignment
Which best explains why the equation 7x + 3 = 7x+-3 has infinitely many
solutions?
A. The equation has a variable on goth sides.
B. The equation is true for any value of x.
O c. The equation is not true for any value ofr.
Four data sets are shown below.
Set 1: {10, 19, 38, 50, 513
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 513
Set 4: {5, 28, 28, 28,513
Which data set has the largest standard deviation?
For these given four sets of data, Set: 4 has the largest standard deviation.
What is standard deviation for a data set?"Standard deviation is a measure of the amount of variation or dispersion of a set of values.
A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."
Set: 1 {10, 19, 38, 50, 513}
Number of terms = 5
Mean = (10 + 19 + 38 + 50 + 513)/5 = 630/5 = 126
Standard deviation
= [√{(10 - 126)² + (19 - 126)² + (38 - 126)² + (50 - 126)² + (513 - 126)²}/5]
= [√(13456 + 1149 + 7744 + 5776 + 149769)/5]
= 188.62
Set: 2 {5, 21, 26, 39, 51}
Number of terms = 5
Mean = (5 + 21 + 26 + 39 + 513)/5 = 604/5 = 120.8
Standard deviation
= [√{(5 - 120.8)² + (21 - 120.8)² + (26 - 120.8)² + (39- 120.8)² + (513 - 120.8)²}/5]
= [√(11193.64 + 9960.04 + 8987.04 + 6691.24 + 153820.84)/5]
= 195.27
Set: 3 {9, 38, 50, 50, 513}
Number of terms = 5
Mean = (9 + 38 + 50 + 50 + 513)/5 = 650/5 = 130
Standard deviation
= [√{(9 - 130)² + (38 - 130)² + (50 - 130)² + (50 - 130)² + (513 - 130)²}/5]
= [√(14641 + 8464 + 6400 + 6400 + 146689)/5]
= 191.1
Set: 4 {5, 28, 28, 28,513}
Number of terms = 5
Mean = (5 + 28 + 28 + 28 + 513)/5 = 602/5 = 120.4
Standard deviation
= [√{(5 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (513 - 120.4)²}/5]
= [√(13317.16 + 8537.76 + 8537.76 + 8537.76 + 154134.76)/5]
= 196.5
Therefore, Set: 4 has the largest standard deviation.
Learn more about standard deviation here: https://brainly.com/question/12402189
#SPJ3
Venn diagrams cover another diagram
Answer:
what do u mean
do u mean does Venn diagram cover another diagrqm
examine the number patter below 3,5,7,9,11,13,15,17
Answer: Add 2. Step-by-step explanation:If you look closely, you can see that the numbers are increasing by 2 each time.
Solve 54 - 10x< 20 + 7x.
O A. x 2
O B. XS-2
O c. xs2
O D. XX-2
Answer:
I think b :)
Step-by-step explanation:
What is the inverse of the function f(x)= 6x-5/x+9
Answer:
To find the inverse, interchange the variables and solve for
y .
f ^− 1 ( x ) = − 9 − x − √ (x ^2 − 18 x + 201 )) /(12 ) , (− 9 − x + √ (x ^2 − 18 x + 201)) / (12 )
What is Five thousand, three hundred one and ninety-six thousandths
Answer:
500030196000
Step-by-step explanation:
Five thousand = 5000
Three hundred one = 301
Ninety-six thousandths = 96000
In numbers:
500030196000
Hope this helps.
Add 3 5/12 + 2 5/9 . Simplify the answer and write as a mixed number.
use diagram to answer 3(x+6)=30
Answer:
Step-by-step explanation:
3x + 18 = 30
3x + 18 -18 = 30 - 18
3x = 12
x = 4
If f(x) = 4 - 2x^2 and g(x) = 2√x what is the value of f(g(x))? (The thing after the number 2 for g(x) is square root of x) A) 4-16x B) 4-8x C) 4-4x D) 4-2x E) 4-x
Answer:
B) 4-8x
Step-by-step explanation:
[tex]f(x) = 4 - 2x^2 \\ g(x) = 2\sqrt{x} \\ f(g(x)) = ?\\First - find- g(x)\\f(2\sqrt{x} )\\4-2(2\sqrt{x})^{2} \\4-2(4x)\\4-8x\\f(g(x))= 4-8x = B[/tex]
Scott opened a savings account with $5000 and was paid simple interest at an annual rate of 3%. When Scott closed the account, he was paid $450 in interest. How long was the account open for, in years?
Thanks.
Answer: The account has been open for 3 years.
Step-by-step explanation:
yes
The local farmer wants to know how many gallons of water his new watering through holds solve
Answer:
35
Step-by-step explanation:
7x5= 35
i think pls correct me if im wrong
Answer:
see below
Step-by-step explanation:
We need to find the volume of the cylinder
V = pi r^2 h
V = pi * 7^2 * 5
V = pi (245)
V = 245pi ft^3
Using 3.14 as an approximation for pi
V =769.3 ft^3
If we use the pi button
V = 769.6902001 ft^3
QUESTION 3 What is the area of the parallelogram?
Answer:
C. 275.88 m squared
24.2 * 11.4 = 275.88 m squared
Use the distance formula to find the distance between (-3, 5) and (3,1).
d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Answer:
About 7.2
Step-by-step explanation:
Answer = [tex]\sqrt{52}[/tex]
look at image attached
Which of the following coordinate points represents the x-intercept of the equation 2x + 3y = 10?
A. (5, 0)
B. (0, 0)
C. (–4, 0)
D. (–2, 0)
Answer:
A
Step-by-step explanation:
take out the 'y' and the equation is left to 2x=10 and you divide 2x and 10 by 2
one more last one help
Answer:
C 24
Step-by-step explanation:
1. It cost Nike $55 to make the "Kyrie 5", but it is selling for $130.19. Calculate the markup/percent Increase for the shoe.
2. The state tax is 8%. Calculate how much you will pay in taxes on the Kyrie 5.
3. You just found a coupon for 35% off! What is the new price of the shoe before taxes?
4. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original and the price of the amazon shoe?
Answer:
1)The markup/percent Increase for the shoe is 136.709%
2)Amount of tax on the Kyrie 5 is $4.4
3)The new price of the shoe before taxes is $35.75
Step-by-step explanation:
1) Cost price of Kyrie 5 = $55
Selling price = $130.19.
Difference = 130.19-55=75.19
So, Percentage increase =[tex]\frac{Change}{CP} \times 100[/tex]
Percentage increase =[tex]\frac{75.19}{55} \times 100 =136.709\%[/tex]
2)The state tax is 8%
So, Amount of tax on the Kyrie 5. = [tex]8\% \times 55[/tex]
=[tex]\frac{8}{100} \times 55[/tex]
= 4.4
So, You will pay $4.4 in taxes on the Kyrie 5.
3)You just found a coupon for 35% off!
New price of the shoe before taxes =[tex]55-35\%(55)[/tex]
=35.75
So,the new price of the shoe before taxes is $35.75
Prove : Cos^4A+sin^4A=1/4(3+cos4A)
Answer:
1 = (sin^2 A + cos^2 A)^2 = sin^4 A + cos^4 A + 2 sin^2 A cos^2 A
so
sin^4 A + cos^4 A
= 1 - 1/2 sin^2 2A
= 1 - 1/4 (1- cos 4A)
= 1/4 (3+cos 4A)
Step-by-step explanation:
hope I helped
If x = y, then xz = yz represents the __________ property of equality. answers : multiplication addition division subtraction
Answer:
I believe the answer is multiplication property of equality.
I hope I helped, please correct me if I'm wrong!
if y varies directly as x and y=32 when x=4 find the value of y when x=5
Answer:
y=40
Step-by-step explanation:
32 divided by 4 equals 8. And 5 times 8 equals 40.
Simplify the expression by combining like terms.
15 + 12x – 5x + 4y - 7
(A) 11xy + 8
(B) 7x + 4y + 8
(C) 7x + 4y - 7
(D) 15 + 11xy - 7
If you want to buy an item in a store that costs $45.50 and is on sale for 10% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answer:
$40.95
Step-by-step explanation:
Multiply 45.50 by 0.10 and get 4.55. 4.55 is the discount. Then subtract 4.55 from 45.50 and get 40.95
Answer:
$40.95
Move the decimal over to the left once and you get 10% off the all you do is subtract that from the original cost.
What are the opposites of 9, −3.6, 2.25, and 9 1 2 ? Enter the answers in respective order, each separated by comma.
Answer:
-9, 3.6, -2.25, and -9 1 2
Step-by-step explanation:
Emily uses 1 2/3cups of sugar and 3 1/4cups flour to make muffins she says she has12/3 more cups of flour than sugar
Answer:
is this helpful for you
Step-by-step explanation:
sugar: 12/3
flour:31/4
sugar:4
flour:7.75
3.7
The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.
Answer:
a) - Compressing the P(new) function by a scale of 0.5 about the y axis.
- Moving the P(new) function down by 104 units.
b) The two simplified functions for P(original)
-0.08x² + 10.8x – 200.
-0.16x² + 21.6x – 504.
Step-by-step explanation:
Complete Question
An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x² + 21.6x – 400.
a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.
b. Write the two possible functions from part a in simplified form.
Solution
The equation for the new profit function is
P(x) = -0.16x² + 21.6x – 400
At x = 40, the original profit function is half the size of the new profit function
First, we find the value of the new profit function at x = 40
P(x) = -0.16(40)² + 21.6(40) – 400 = 208
Half of 208 = 0.5 × 208 = 104
P(original at x = 40) = P(new at x = 40) ÷ 2
Since we are told that P(original) is a simple transformation of the P(new)
P(original) = P(new)/2 = (-0.16x² + 21.6x – 400)/2 = -0.08x² + 10.8x – 200 ... (eqn 1)
Or, P(original) = 104
-0.16x² + 21.6x – 400 = 104
P(original) = -0.16x² + 21.6x – 400 - 104 = -0.16x² + 21.6x – 504.
So, the two functions that are simple transformations of P(new) to get P(original) are
-0.08x² + 10.8x – 200
Obtained by compressing the P(new) function by a scale of 0.5 about the y axis.
And
-0.16x² + 21.6x – 504.
Obtained by moving the P(new) function down by 104 units.
Hope this Helps!!!
John invested $700, at an interest rate of 2.5%, for 6 months. Find the interest earned.
Answer:
I think 10,500.
Step-by-step explanation:
700 multiplied by 2.5=1750
x 6
10,500
If x = 49, what is the value of x(x - 6)?
Answer:
2107
Step-by-step explanation:
Answer:
2107
Step-by-step explanation:
x(x-6)
49(49-6)
49(43)
49×43 = 2107