Given:
The coordinates of the pre-image DEFG are D(2,0) E(2,2), F(5,2), G(5,1).
To find:
The coordinates of the image of D'E'F'G' after a rotation of 90º counterclockwise.
Solution:
If a figure is rotated 90º counterclockwise, then
[tex](x,y)\to (-y,x)[/tex]
Using this rule, we get
[tex]D(2,0)\to D'(0,2)[/tex]
[tex]E(2,2)\to E'(-2,2)[/tex]
[tex]F(5,2)\to F'(-2,5)[/tex]
[tex]G(5,1)\to G'(-1,5)[/tex]
Therefore, the coordinates of the image of D'E'F'G' after a rotation of 90º counterclockwise are D'(0,2), E'(-2,2), F'(-2,5) and G'(-1,5).
What is the measure of A
Answer:
the answer is 3
Step-by-step explanation: the third one is the answer
Solve the equation for y
1/4y - 2x = 5
1. y = 8x + 20
2. y = 2x + 5
3. y = (1/2)x + 5/4
4. y = -8x + 20
Answer:
y = 8x +20
Step-by-step explanation:
The value of y for the given expression is y = 8x + 20. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 1/4y - 2x = 5. The value of y for the expression is solved as below:-
1/4y - 2x = 5
( 1 / 4 )y = 2x + 5
y = 4 ( 2x + 5 )
y = 8x + 20
Therefore, the value of y for the given expression is y = 8x + 20. The correct option is A.
To know more about an expression follow
https://brainly.com/question/723406
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The graphs below show some data from a coffee shop menu. One of the graphs shows cost (in dollar) vs. drink volume (in ounces), and one of the graphs shows calories vs. drink volume (in ounces.)
a. Which graph is which? Given them the correct titles.
Graph A: _______vs volume......... Graph B:_______vs volume
b. Which quantities appear to be in a proportional relationship?
1. cost vs volume or
2. calories vs volume
For the proportional relationship, find the constant of proportionality.
a. 0.21 per ounce,
b. 12 calories per ounce,
c. 0.38$ per ounce, or
d. 15 calories per ounce
Answer:
a. Graph A: Cost vs Volume
Graph B: Calories vs Volume
b. Graph B (Calories vs Volume)
c. k = 15
Step-by-step explanation:
a. It is not possible for a volume of 10 oz of drink to be sold for $150. It doesn't make common sense. Also, calorie level of 150 in 10 oz of drink seem plausible.
It makes more sense if 10 oz of the drink cost $3.75. Therefore, the graphs should be titled as follows:
Graph A: Cost vs Volume
Graph B: Calories vs Volume
b. The quantities in Graph B (Calories vs Volume) appear to be in a proportional relationship. We know this because if we try drawing a line to connect the points on the graph, it will give us a straight line. A straight line connotes proportionality.
Also the ratio of the quantities of the two known points given are the same. I.e. [tex] \frac{150}{10} = \frac{360}{24} = 15 [/tex]
Therefore the quantities compared in Graph B shows a proportional relationship.
c. Constant of proportionality = [tex] \frac{150}{10} = \frac{360}{24} = 15 [/tex]
Graph the line using a point and a slope. Write the equation of each line.
c
a line that contains point (0, −3) and perpendicular to another line whose slope is 2.
Answer:
Graph attached.
Step-by-step explanation:
Line (i) contains point (0, -3)It's perpendicular to line (ii) whose slope is 2The product of slope of line (i) and slope of line (ii) should be equal to -1 (product of slopes of two perpendicular lines = -1)
i.e
Slope of line (i) × 2 = -1
Slope of line (i) = [tex]-\frac{1}{2}[/tex]
To find the equation of line (i), we need another point (x,y) on the line.
Slope (m) = change in y ÷ change in x = [tex]\frac{y - -3}{x - 0} = -\frac{1}{2}[/tex]
y = [tex]-\frac{1}{2} x[/tex] - 3
*The graph of this line is attached here below.
Write an augmented matrix for the system. Then state the dimensions. x+8y−7z=12 5x+9y+5z=15 6z−3y−8x=1
Answer: Write an augmented matrix for the system. Then state the dimensions. x+8y−7z=12 5x+9y+5z=15 6z−3y−8x=1
Step-by-step explanation: x+8y-7z=12 5x+9y+5z=15 6z-3y-8x=1. - 18028782.
A lake is 35 miles across. Find the width of the lake on the map.
Answer:
5 cm or 5 miles
Step-by-step explanation:
Because 1 cm = 7 miles so that mean divide it by 35 which you would get 5
For this graph, mark the statements that are true.
I need help pls
Please answer this correctly without making mistakes
Both are correct
I accidentally got rid of the other things so I now have to type 20 characters so i can actually answer it
When Alyssa was ten years old, she was twice as old as her horse midnight. If midnight died when he was twenty four years old, how old was Alyssa when Midnight died?
Let Alyssa's horse's age be x .
Then :-
Alyssa's age = 2x
Age of her horse when it died = 24
Alyssa's age when her horse died =
[tex]2x \\ = 2 \times x \\ = 2 \times 24 \\ = 48 \: years[/tex]
∴ Alyssa was 48 years old when her horse Midnight died .
Answer:
29
Step-by-step explanation:
Alyssa was twice the age of midnight so 10 ÷2 =5(age gap)
Midnight died at 24 so Alyssa was 29 that time because
24+5(age gap) =29
Hope this helps
What are the solutions of the equation 4x3x 24 ?
Type the answer in standard form below.
What is the value
of the 7
in the number
7,682,912?
Answer:
its 7 million
Step-by-step explanation:
Statistic Company A Company B Arithmetic Mean 500 600 Median 500 500 Mode 500 300 Standard Deviation 40 20 Mean Absolute Deviation 32 16 Quartile Deviation 25 14 Range 240 120 Sample Size 100 80 The middle 95% of the wires from Company A tested between (________) and (upper) limit. Record ONLY the lower limit as a whole number.
Answer:
The answer is "About 421.6 and 578.4 the middle of 95% of both the wires of the A business checked".
Step-by-step explanation:
The Mean = Median = Mode= 500 for company A
It also will see company A as a regular delivery
Mean > Median > Mode for the business B
Company B would seem to have a correct warped delivery
The value of Z varies in the center of 95% of the wires: [tex](-1.96\ \ from \ \ 1.96)[/tex]
[tex]\text{The lower bound} = Mean - 1.96 \times \sigma[/tex]
[tex]= 500 - 1.96 \times 40 \\\\= 500 - 78.4\\\\= 421.6[/tex]
[tex]\text{The upper limit = Mean} + 1.96 \times \sigma[/tex]
[tex]= 500 + 1.96 \times 40 \\\\= 500 + 78.4 \\\\= 578.4[/tex]
too young to tat based on a harris poll, among adults who regret getting tattoos, 20% say that they were too young when they got their tattoos. assume that five adults who regret getting tattoos are randomly selected, and find the indicated probability. find the probability that exactly one of the selected adults says that he or she was too young to get tattoos. group of answer choices
Answer:
The probability that exactly one of the selected adults says that he or she was too young to get tattoos is 0.4096.
Step-by-step explanation:
Let X denote the number of adults who says that he or she was too young to get tattoos.
The probability of selecting an adults who says that he or she was too young to get tattoos is, p = 0.20.
Five adults who regret getting tattoos are randomly selected.
The events of any of these five adults regretting getting tattoos is independent of each other.
The random variable X follow a Binomial distribution with parameters n = 5 and p = 0.20.
Compute the probability that exactly one of the selected adults says that he or she was too young to get tattoos as follows:
[tex]P(X=x)={5\choose x}(0.20)^{x}(1-0.20)^{5-x}\\\\P(X=1)={5\choose 1}(0.20)^{1}(0.80)^{5-1}\\\\[/tex]
[tex]=5\times 0.20\times 0.4096\\\\=0.4096[/tex]
Thus, the probability that exactly one of the selected adults says that he or she was too young to get tattoos is 0.4096.
Can someone please help me with this please?
Answer:
10a.) 6 10b.) 4 sopranos, 10 altos, and 6 tenors
Step-by-step explanation:
24:60:36
these can all be divided by 6, or their gcf
So each group would have 4 sopranos, 10 altos, and 6 tenors
Hope this helps :) And sorry, I couldn't quite get the last two
Juan earns $625 per week. He is married and claims 3 withholding allowances. He pays $90 each week for childcare. If he participates in his employer's cafeteria plan and has the childcare expenses deducted from his wages before taxes, how much will he save in federal income and FICA tax each paycheck?
Answer:
help needed
Step-by-step explanation:
.
Can someone solve and show work for this pls
Answer:
Dividing : 6x5 + 26x4 - 5x3 + 17x2 - 21x + 10
("Dividend")
By : 3x - 2 ("Divisor")
dividend 6x5 + 26x4 - 5x3 + 17x2 - 21x + 10
- divisor * 2x4 6x5 - 4x4
remainder 30x4 - 5x3 + 17x2 - 21x + 10
- divisor * 10x3 30x4 - 20x3
remainder 15x3 + 17x2 - 21x + 10
- divisor * 5x2 15x3 - 10x2
remainder 27x2 - 21x + 10
- divisor * 9x1 27x2 - 18x
remainder - 3x + 10
- divisor * -x0 - 3x + 2
remainder 8
Quotient : 2x4 + 10x3 + 5x2 + 9x - 1
Remainder : 8
The high school has 35 teachers and 630 students. What is the ratio of teachers to students?
A: 18:1
B: 1:18
C: 630:35
D: 35:630
Answer:
The ratio of teachers to students is B) 1:18
Step-by-step explanation:
Simply divide the number of teachers to the number of students
630/35 = 18
Therefore the ratio between teachers to students is 1:18, meaning that there is 1 teacher designated for every 18 students.
Find the volume of a box that is 2 in x 4 in x 3 inch
Answer:
24in
Step-by-step explanation:
2*3*4= 24
Last week Margo bouggt 4 new nail polish colors and it cost her $14. Today she only has $11. How many new colors can she buy?
Answer:
she can buy 3
Step-by-step explanation: 3.50x3=10.50 which is the closest you can get without going over the price range
is 7/28 and 12/34 proportional
Answer:
no it is notttttttttttttt
Answer:
No
Step-by-step explanation:
Which transformation of f(x) will produce the same graph as g(x)?
f(x) = 3x
g(x) = f(x) + 3
A.
h(x) = f(x) + 1
B.
h(x) = 2f(x)
C.
h(x) = f(x + 1)
D.
h(x) = f(x − 1)
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The formula K=59(F−32)+273.15 converts temperatures from Fahrenheit F to Kelvin K.
a. Solve the formula for F.
F=
Answer:
9/5 (K-273.15) + 32=F
Step-by-step explanation:
K=5 /9(F−32)+273.15
Subtract 273.15 from each side
K-273.15=5/9(F−32)+273.15-273.15
K-273.15=5/9(F−32)
Multiply by 9/5 on each side
9/5 (K-273.15)= 9/5 *5/9(F−32)
9/5 (K-273.15)=(F−32)
Add 32 to each side
9/5 (K-273.15) + 32=F−32 +32
9/5 (K-273.15) + 32=F
Answer:
f=1/59k+27.370339
Step-by-step explanation:
k=59(f−32)+273.15
Step 1: Flip the equation.
59f−1614.85=k
Step 2: Add 1614.85 to both sides.
59f−1614.85+1614.85=k+1614.85
59f=k+1614.85
Step 3: Divide both sides by 59.
59f/59=k+1614.85/59
f=1/59k+27.370339
A tank measures 1.8m x 0.5m x 0.5 m what is the surface area including the top
Answer:
4.1
Step-by-step explanation:
1.8 x 0.5 = 0.9
0.5 x 0.5 = 0.25
2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)
2 x 2.05 = 4.1
Therefore the answer is 4.1
I hope that was helpful!
Answer:
Hope it helps.....plz mark as brainliest
Step-by-step explanation:
SA = 2(hl+hw+lw)
It doesn't matter which specifically is the height or width or length in this case.
1.8 x 0.5 = 0.9
1.8 x 0.5 = 0.9
0.5 x 0.5 = 0.25
2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)
2 x 2.05 = 4.1, which is the surface area.
A triangle has one angle that measures 56∘ and one angle that measures 63∘. The measure of the triangle's third angle is _____ degrees.
Answer:
61 degrees
Step-by-step explanation:
Let's do this
So we know all the angles measure in a triangle will be 180 degrees
We have 56 and 63
To find the third, let's add and subtract
56+63=119
Now let's subtract from 180
So 180-119=61
The third angle measures 61 degrees
Now let's add them up and see if they total 180 degrees
So 56+63+61=180
Yay, we found the answer!
The answer is 61 degrees.
The brewsters are saving for their daughters college days. The would like to be able to withdraw $800
Answer:
Very nice
Step-by-step explanation:
is there a question? or more information on it?
if 3/2p = 15 what is p
Answer:
p= 1/10
Step-by-step explanation:
i looked it up
Which expression is equivalent to (18x + 9k) + (2x + 6k)?
16 x + 3 k
20 x + 15 k
20 x + 16 k
36 x + 54 k
Answer:
B. 20x + 15
Step-by-step explanation:
Get rid of the parenthesis and combine like terms: 18x + 2x and 9k + 6k
You get: 20x + 15.
Answer:
bStep-by-step explanation:
the person above me should have brainliest
Write an equation of the line shown. Then use the equation to find the value of 2 when y = 185
Answer:
[tex] y = 15x + 20 [/tex]
x = 11, when y = 185
Step-by-step explanation:
Given:
(0, 20);
(2, 50)
Required:
Equation of the line;
Value of x, when y = 185
SOLUTION:
Equation of the line can be written using the slope-intercept formula, given as, [tex] y = mx + b [/tex].
m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} =\frac{50 - 20}{2 - 0} = \frac{30}{2} = 15 [/tex]
b = y-intercept = the pointt at which the line cuts the y-axis = 20
Plug in the value into the formula to get the equation:
[tex] y = mx + b [/tex]
[tex] y = 15x + 20 [/tex]
Use this equation to solve for x, when y = 185
[tex] y = 15x + 20 [/tex]
[tex] 185 = 15x + 20 [/tex] (substitution)
[tex] 185 - 20 = 15x + 20 - 20 [/tex]
[tex] 165 = 15x [/tex]
[tex] \frac{165}{15} = \frac{15x}{15} [/tex]
[tex] 11 = x [/tex]
x = 11, when y = 185
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck? Explain or show your reasoning.
Answer:
315 inches long
Step-by-step explanation:
180 x .75= 135 <--- that is 75% of 180
then add the two numbers
180 + 135
you add them because the original length of the car is 180 inches and the truck is 75% longer.
180 + 135= 315
what is 40 times 16
Answer:
640
Step-by-step explanation:
Answer:
the answer is 640 you're welcome