Answer:
6
Step-by-step explanation:
Given expression:
a varies directly as b;
a ∝ b
So;
a = kb where k is the constant of proportionality;
if a= 7 and b = 2;
7 = 2k
k = [tex]\frac{7}{2}[/tex]
Now, find b when a = 21
21 = [tex]\frac{7}{2}[/tex] x b
b = 6
Please help with number 2!
Answers:
D'' = (1, -3)
E'' = (1, -1)
F'' = (3, -1)
G'' = (3, -4)
A diagram is shown below.
========================================================
Explanation:
The center of dilation is point E, which means this point does not move when the dilation is applied. Every other point will move.
As your diagram indicates, segment DE is 4 units long. If we apply the scale factor 1/2, then D'E' will be half as long meaning D'E' = 2. So point D' is 2 units above point E at (1,3)
Point F is 4 units away from point E. The scale factor 1/2 will bring F closer to E leading to segment F'E' = 2. So we'll start at E and move 2 units to the right to land on F ' (3, 1)
From F to G is 6 units, which cuts in half to 3. So from F' to G' is 3 units telling us we start at F ' (3, 1) and go up three units to get go G ' (3, 4)
So far we have
D ' = (1, 3)
E ' = (1, 1) ... fixed point doesn't move
F ' = (3, 1)
G ' = (3, 4)
-------------
From here we'll apply the reflection over the x axis rule which says
[tex](x,y) \to (x, -y)[/tex]
the x coordinate stays the same, and the y coordinate flips from positive to negative (or vice versa).
Based on what was mentioned for D', E', F' and G', we get the following
D'' = (1, -3)
E'' = (1, -1) .... this point does move now
F'' = (3, -1)
G'' = (3, -4)
Points E' and E'' are in different locations because all fixed points in this reflection are along the mirror line y = 0 (aka the x axis). In other words, if E was on the x axis, then it would not move if we applied this reflection.
Check out the diagram below see a visual summary of what happened. Note how the red points moved in closer to point E (since the distances from the center E have been cut in half) compared to the blue counterparts.
The value of x square +y square when x =-3and y =4 is
What is the solution to this system of linear equations?
2x + y = 1
3x – y = –6
(–1, 3)
(1, –1)
(2, 3)
(5, 0)
x = -1
y = 3
2x + y = 1 (eq no 1)
3x - y = -6 (eq no 2)
solve eq no 1
y = 1 - 2x (eq no 3)
enter eq no 3 into eq no 2
3x - ( 1 - 2x ) = -6
3x - 1 + 2x = -6
5x = -5
x = -5/5
x = -1
enter x = -1 into eq no 1
2 (-1) + y = 1
-2 + y = 1
y = 3
Answer:
A. (-1,3)
Hope this helps :D
what is the slope of y = 5x - 1
Answer:
the slope is 5.
using Y = mx+b. you know that m will be your slope and b will be the y - intercept.
Which of the following is true given that -4> -9? ОА. -4 is at the same place as -9 on a horizontal number line OB. -4 is the opposite of -9 on a horizontal number line OC. -4 is to the right of -9 on a horizontal number line OD. -4 is to the left of -9 on a horizontal number line Reset Sub
Answer:
ask someone i know a good app its called brainly
Step-by-step explanation:
yup
What is The slope of the line passes through (0,-3) and (2,13).
Answer:
8
Step-by-step explanation:
fist take y2-y1 to get 16 that do x2-x1 to get 2 the do 16 divided by to to get 8
EASY!!! ILL GIVE BRAINLIEST
find the domain, range, increasing and decreasing
Answer:
Domain: -inf to +inf
Range: -inf to 4
Inc: - inf to 4
Dec: 4 to - inf
Find the measure of each interior and exterior angle. The diagram is not to scale.
Answer/Step-by-step explanation:
✅m<1 = 90° (right angle)
✅m<2 = 90° (<1 and <2 are supplementary, and also linear pair)
✅m<3 = 90° (<1 and <3 are supplementary, and also linear pair)
✅m<4 = 115° (vertical angles theorem)
✅m<5 + m<4 = 180° (linear pair)
m<5 + 115° = 180° (substitution)
Subtract 115 from each side
m<5 = 180 - 115
m<5 = 65°
✅m<6 = m<5 (vertical angles are congruent)
m<6 = 65° (substitution)
✅m<7 = m<1 + m<6 (exterior angle theorem)
m<7 = 90° + 65° (substitution)
m<7 = 155°
✅m<8 = 180 - m<7 (linear pair theorem)
m<8 = 180 - 155 (substitution)
m<8 = 25°
✅m<9 = m<7 (vertical angles are congruent)
m<9 = 155° (substitution)
HELP drag each set of coordinates to the correct location on the table not all sets of coordinates will be used
Answer:
im sorry but i tried to do it but too dumb
Step-by-step explanation:
Games Galore Super Store buys the latest video game at a wholesale price of $58.00. The markup rate at Game’s Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax?
Answer:
Step-by-step explanation:
30 + .40(30) = 30(1 + .40) = 30(1.4) = $42
8th GRADE MATH NEED HELP I HAVE AN F and my parents r coming at me TY what is the slope for this scenario?
The Bears have won 7 and tied 2 of their last 13 games. They have not forfeited any games. Which ratio correctly compares their wins to losses?
Answer:
7:4
Step-by-step explanation:
7:4 because if 13 is the total amount of games, that minus the amount of games won and tied equals the amount of games loss which is 4. Since it says wins to losses, the wins will come first in the ratio. Therefore the correct answer would be 7:4.
Answer:
7:4
Step-by-step explanation:
The cost of a gym membership is $25 per month. There is an initial fee of $40
Answer:
y = 25x + 40
Step-by-step explanation:
Using the formula, y = mx + b we can find out what this equation would be.
m = the rate of change/slope
b = the y- intercept
25 per month is telling us that this is the rate of change.
Since the $40 is only paid once, you can tell that this is the y intercept.
The equation will look like:
y = 25x + 40
On a graph it would look like:
Let the total cost of a gym membership be y, with the number of months as x.
The total cost would be 40 dollars, the initial fee, plus 25 times the number of months (x).
y = 40 + 25x
If ray ST bisects ∠RSU and m∠TSU=43°, find m∠RSU.
Answer: 86 degrees
Explanation:
Angle TSU is formed when we bisect angle RSU. Recall that bisect means to cut in half. So TSU is half of RSU. Put another way, RSU is twice that of TSU.
angle RSU = 2*(angle TSU)
angle RSU = 2*43
angle RSU = 86
What is the greatest common factor of 28 and 49
Answer:
7 is the greatest comman factor of 28 and 49
Felipe invested in a savings bond for 3 years and was pald simple interest at an annual rate of 5%. The total interest that he earned was $120. How much did the invest?
Answer:
your going to have t set it up like a proportion i'll help
Step-by-step explanation:
5 times 120 then divide by 3 hope i helps you byeeee
answer correctly for a brainlesit and 10 pts pleaseee :) thanks asap
caculate the average speed from points D to point E
Answer:
20 seconds
Step-by-step explanation:
30 is where the E point is at while 10 is where D-point at.subtract these 2 and youll get 20
When X=18, Y=14. Find the value of x when y=42.
A) 32
B) 18
C) -18
D) 54
Answer:
D)54
Explanation:
hope this helps you...
On Sunday, Sheldon bought 412 kg of plant food. He used 123 kg on his strawberry plants and used 14 kg for his tomato plants. How many kilograms of plant food did Sheldon have left?
Answer:
...............................
Terri is starting a babysitting service to make some extra money. She plans to charge a base fee of $10 plus $7 per hour. Write a function that could be used to represent her total charge for the babysitting service, y, as a function of the number of hours she babysits, x. *
y = 10x – 7
y = 7x – 10
y = 10x + 7
y = 7x + 10
Work Shown:
x = number of hours she babysits
1 hour = 7 dollars
x hours = 7x dollars (multiply both sides by x)
She earns 7x dollars after babysitting x hours if we ignore the $10 base fee. Add on the $10 base fee to get 7x+10 dollars total.
Therefore y = 7x+10 is the equation we want.
Answer:
I thought it would be y=10x+7 because the base fee which is the starting fee is 10 and your adding 7 every hour so that would be +7.
Step-by-step explanation:
please help I don't know what to do
Answer:
1 over 5^15
Step-by-step explanation:
I am in same class.
How many times do you have to move the decimals before dividing 8.65 ÷ 0.003?
Answer:
5 times twice in 8.65 and three times in.003
Step-by-step explanation:
Which subtraction problems have a difference of 2.41? Choose Yes or No for each problem.
22.05 – 19.64
Choose...
17.26 – 15.85
Choose...
32.57 – 29.16
Choose...
11.29 – 8.88
Choose...
38.31 – 35.9
Answer:Which subtraction problems have a difference of 2.41? Choose Yes or No for each problem.
22.05 – 19.64
Choose...
17.26 – 15.85
Choose...
32.57 – 29.16
Choose...
11.29 – 8.88
Choose...
38.31 – 35.9
Choose...
Step-by-step explanation:
please i need this quick , it’s so confusing
What is greater 2/3 or 10/18
Answer:
2/3 is greater than 10/18
Step-by-step explanation:
2/3 of 18/18 is 12/18, not 10/18.
1 point
15 The Davenports had a repairman come out to
their house. They were charged $50 per hour for
the 2-hour visit, plus a $99 consultation fee.
What was the total charge?
$help ASAP!
Your answer
Answer:
Step-by-step explanation:
50 an hour for 2 hours. 50(2) is 100
plus the 99 consultation fee.
Assuming there's no taxes because you're one of the lucky ones that doesn't have to pay, the total charge would be $199 dollars
will give branliest if correct :)
Answer:
15.71
Step-by-step explanation: I did It on a peice of paper and it's a mess so yeah......
Let p= 7, q= V14, r = 3 Which of the following expressions is irrational?
PLEASE HELP
An advertising agency would like to add 4 new clients to their client base each week. Which type of function best models the number of clients the agency would like to add to their client base over time?
A. a linear model with a slope of 4
B. a linear model with a y-intercept of 4
C. an exponential model with a growth factor of 4
D. an exponential model with a y-intercept of 4
Answer:
B. a linear model with a y-intercept of 4
Step-by-step explanation:
