Answer:
Where is the question?
Question 3: Quadrilateral A'B'C'E' is the image of quadrilateral ABCE after a dilation centered
at point F. What is the scale factor of this dilation? Explain your work in at least 2 sentences.
C
6
B
C'
B 3
3
1.5
2.5 5
A
E
А
E
==========================================================
Explanation:
We have AB = 3 and A'B' = 1.5; the ratio between the two segment lengths is (A'B')/(AB) = (1.5)/(3) = 1/2 = 0.5
Similarly,
(B'C')/(BC) = (3)/(6) = 1/2 = 0.5(C'E')/(CE) = (2.5)/(5) = 1/2 = 0.5You only need to pick one of these statements to be able to find the scale factor. The scale factor of 1/2 or 0.5 indicates that the image is half as small compared to the preimage. More specifically, each segment of the image is half as small compared to the corresponding segment on the preimage.
A'B' is half as small as ABB'C' is half as small as BCC'E' is half as small as CEA'E' is half as small as AEWe don't have numbers for AE and A'E', but the last statement above must be true because the dilation applies to all segment lengths.
The scale factor of this dilation in the given quadrilateral will be equal to 0.5 times.
What is a Polygon?A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines. Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.
As per the given information in the question,
AB = 3 and A'B' = 1.5;
Then, a ratio of the two segment lengths exists.,
(A'B')/(AB) = (1.5)/(3) = 1/2
(A'B')/(AB) = 0.5
In the similar way,
(B'C')/(BC) = (3)/(6) = 1/2
(B'C')/(BC) = 0.5
(C'E')/(CE) = (2.5)/(5) = 1/2
(C'E')/(CE) = 0.5
A'B' is half as small as AB, B'C' is half as small as BC, C'E' is half as small as CE, A'E' is half as small as AE.
To know more about Polygon:
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Ajay reads aloud from a sports magazine. He comes across the measurement 0.63 kilometer. How should he read this measurement aloud? Explain how you know.
Answer:
"sixty-three hundredths of a Kilometer"
Step-by-step explanation:
Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"
help please asap i will give you brainlist
Answer: R=5 D=10
Step-by-step explanation: If I am correct the radius is 5 while the diameter is 10. All you need to do is subtract 7 by 2 ( from the coordinates) giving you five. Now if you multiply 5 by 2 you get 10 which is the diameter. Hope this helps and best of luck.
Write the equation of the line that goes through (-2/3, 7/8) and is PARALLEL to 3x + 4y = 7
Answer:
6x+8y = 3
Step-by-step explanation:
we have 3x + 4y = 7
4y = -3x + 7
y = -3/4 x + 7/4
so slope is -3/4
2 parallel lines always have same slope
so the slope of our new line is -3/4
so y = -3/4 x + C
for c,
we have (x,y) = (-2/3,7/8)
7/8 = -3/4 * -2/3 + C
C = 3/8
so equation is
y = -3/4 x + 3/8
simplyfyig,
8y = -6x + 3
or, 6x+8y = 3
| m^2 + n^2 |
When m = -5 and n = 3, the value of the expression is *blank*
Answer:
the value of the expression is -16
Step-by-step explanation:
[tex]-5^{2} + 3^{2}[/tex]
If leticia invested $12,000 in an account in which the interest earned is continuously compounded at a rate of %2.5 find the total amount after 15 years
Given:
Principal value = $12000
Rate of interest = 2.5%
To find:
Total amount after 15 years.
Solution:
Formula for amount discontinuously compounded interest is
[tex]A=Pe^{rt}[/tex]
where, P is principal, r is rate of interest and t is time in years.
Substitute P=12000, r=0.025 and t=15 in the above formula.
[tex]A=12000e^{0.025(15)}[/tex]
[tex]A=12000e^{0.375}[/tex]
[tex]A=12000(1.45499141462)[/tex]
[tex]A=17459.8969754[/tex]
[tex]A\approx 17459.897[/tex]
Therefore, the amount after 15 years is $17459.897.
PLEASE HELP ASAP
What is the value of B for the following triangular prism?
48 in2
60 in2
65 in2
30 in2
Answer:
the answer is 30 in2
Step-by-step explanation:
Please help me with this math question
Answer:
what are you trying to find?
Question 27 please help I think it’s $11.12 but idk
Anyone can help me please
Answer:
(3x)(x-2)(x-1)
Step-by-step explanation:
First we can factor out the 3x from each and are then left with x^2-3x+2. Now we can go ahead and factor. Looking for two variables that multiply to become positive 2 and add to become negative 3, we get negative 2 and negative 1. We now know that both (x-1) and (x-2) are factors. We now have all three factors and we can multiply to check if we get the right answer, and we do.
LESSON 3.2 (C) - Rates of Change and Slope
Directions: Find the slope of the line each each graph. Leave the slope as a fraction instead of converting
them to decimals.
1)
2)
Slope =
Slope =
Answer:
1. Slope = -2
2. Slope = ⁴/3
3. Slope = -3
4. Slope = 1
Step-by-step explanation:
1. Using two points on the line, (0, 0) and (-1, 2):
[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{-1 - 0} = \frac{2}{-1} = -2 [/tex]
2. Using two points on the line, (0, 0) and (3, 4):
[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{4 - 0}{3 - 0} = \frac{4}{3} [/tex]
3. Using two points on the line, (0, 0) and (-1, 3):
[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{3 - 0}{-1 - 0} = \frac{3}{-1} = -3 [/tex]
4. Using two points on the line, (0, 0) and (2, 2):
[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]
A standard showerhead dispenses 21 gallons of water in 30 mins. At this rate, how many gallons of water will a standard showerhead dispenses in 13 minutes.
Answer:
9.1 gallons of water.
Step-by-step explanation:
A standard showerhead dispenses 21 gallons of water in 30 mins. At this rate, how many gallons of water will a standard showerhead dispenses in 13 minutes?
30 minutes = 21 gallons
13 minutes = x gallons
Cross Multiply
30 minutes × x = 13 minutes × 21 gallons
x = 13 minutes × 21 gallons/30 minutes
x = 9.1 gallons of water
Therefore, a standard showerhead dispenses 9.1 gallons of water in 13 minutes.
if the point (12,4) lies on a graph of direct variation, what is the constant of variation.
Answer:
it is 3:1
Step-by-step explanation:
please show work!!!!!!!
Answer:
B
Step-by-step explanation:
The cylindrical part
Area of the cylindrical part = Circumference of the circle * height
Area of the cylindrical part = pi * d * height
Area = 3.14 * 10 * 9
Area = 282.6
Lid
Area = pi * r^2
r = 5
Area = 3.14* 5^2 * 2
Area = 157
Total 439.6
I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.
Work out 5 x 10^6 / 4 x 10^4
Give your answer as an ordinary number.
Answer:
[tex]1.25 \times {10}^{2} = 125 [/tex]
Step-by-step explanation:
[tex] \frac{5 \times {10}^{6} }{4 \times {10}^{4} } = \frac{5}{4} \times \frac{ {10}^{6} }{ {10}^{4} } = 1.25 \times {10}^{2} = 125[/tex]
jean is x years old and jonathan is y years old how many years older is jean then jonathan
Answer:
x-y
Step-by-step explanation:
3. Find the measure of the missing angle.
Help me plzzzz i need help ASAP!!!
Anybody know the answer???
f (-5) = ??
Answer:
7
Step-by-step explanation:
The function is f(x) so if x is replaced with a number, that's the value that x is in the equation. In this case, it'll be -5, so go to -5 on your graph. The y value is 7.
ANY MATH EXPERTS PLS HELP RN I GOT 5 MIN LEFT I'LL PUT BRAINLIEST TO WHOEVER ANSWERS CORRECTLY FIRST
How would you solve absolute value equations with "or" and "and"? Sometimes even with coefficients.
9514 1404 393
Explanation:
In general, a system of equations has a solution that satisfies all of the equations. That is, the solution set is the intersection (and) of the solution sets of the individual equations in the system. Equations involving the absolute value function are no different.
That being said, you need to consider the meaning of an equation involving the absolute value function.
The function itself is piecewise defined:
[tex]\displaystyle |x|=\left\{ {x, x\ge0} \atop {-x, x<0}} \right.[/tex]
So, any equation involving the absolute value function automatically resolves to two equations, each with its own condition on the function value.
__
Example 1:
|x+1| > 3
is equivalent to the two disjoint conditional equations ...
(x +1) > 3 and (x +1) ≥ 0 . . . . OR
-(x +1) > 3 and (x +1) < 0
the first of these has the solution x > 2; the second of these has the solution x < -4. The solution set of this equation is the OR of the two solution sets:
x < -4 or x > 2
__
Example 2:
|x +1| < 3
is equivalent to the two disjoint conditional equations ...
(x +1) < 3 and (x +1) ≥ 0 . . . . OR
-(x +1) < 3 and (x +1) < 0
The first of these has the solution -1 ≤ x < 2, and the second of these has the solution -4 < x < -1. Again, the solution set of this equation is the OR of the two solution sets. However, we find we can write that union as a single compound inequality:
-4 < x < 2
__
When an absolute value equation involves more than one absolute value function, then the equation will probably resolve into multiple equations, each defined on its own domain. Sometimes keeping those domains straight can be tedious.
Above, we have considered inequalities. If you have an equation, you need to consider that it will likely resolve to two equations. The solution set will be the OR of the solutions to those two equations.
Example 3:
|x +1| = 3
is equivalent to the two conditional equations ...
(x +1) = 3 and (x +1) ≥ 0 . . . . OR
-(x +1) = 3 and (x +1) < 0
The first of these has the solution x = 2; the second has the solution x = -4. The solution set is the OR of these two solutions:
x = -4 or x = 2
__
The "and" condition restricts the domain of each of the individual pieces of the equation. The "or" condition applies to the collection of solutions that may exist in each of those restricted domains.
A jump rope is 2 2/5 ft long. if 15 jump ropes are laid end to end, how long do they reach?
The price of a pair of Jordan’s increases from 52 to $64 what is the percent increase to the nearest
Answer:23%
Step-by-step explanation:
1
We are given the data:
2
The definition of percent increase is:
3
We determine the percent of increase:
Can Someone Help Plz!! Which Table is Linear??!!
Answer:
B
Step-by-step explanation:
the x and y are both incresing at the same rate
Step-by-step explanation:
I guess u can try Making graphs
D is the right one
My suggestion for u is that u can be sure by making graph
try it
hope this will help you
BORAHAE
6. Write the slope-intercept form of the equation of the line.
slope = -5/2, y
y – int = 2
Answer:
A. [tex]y=-\frac{5}{2} x+2[/tex]
P.S. Sorry, the first answer I input wasn't registered well
Evaluate each expression for the given value of the variable : x+1/2 + 5x-3/10 when x=3
Answer:
18 1/5
Step-by-step explanation:
1. First, we can convert all the x's into 3's
Our Equation: 3+1/2 + 15 - 3/10
2. Now we know that 3+1/2 = 3 1/2
Our Equation : 3 1/2 + 15 - 3/10
3. Now, we can add 3 1/2 + 15
Our Equation: 18 1/2 - 3/10
4. Next we can convert 1/2 so that the denominator is 10 and we get 18 5/10
Our Equation: 18 5/10 - 3/10
5. Now, we can subtract 3/10 from 5/10
Our Answer: 18 2/10 or 18 1/5
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!! :)
Camilla earned 1$ on monday. How much did she earn on tuesday?
Answer:
.50
Have a good day
Marcus got 3/4 of the questions on his science test correct. If he correctly answered 36 questions. How many questions were on the test?
Answer: 48
Step-by-step explanation:
36/3 =12
12+ 36 = 48
48-75% = 12
Hope this helps
Which expression can be used to check the answer to 56=(-14)=-4?
- 14x-4
-4=(-14)
56x(-14)
-4--56
Answer:If i am correct i think the right answer is -14x-4
Step-by-step explanation:
(6x + 3y + 4) - (8x +9y)
liner expressions...
Answer:
−2⋅(x+3y−2)
Step-by-step explanation:
Step-by-step explanation:
(6x + 3y + 4) - (8x +9y)
6x + 3y + 4 - 8x - 9y)
-2x -6y + 4 (.°. Take 2 as common)
2(-x -3y + 2)
-x -3y + 2 = 0
or
x + 3y - 2 = 0
Drag the correct steps into order to evaluate 21+
m
7
for m=28.
Answer:
2l+28*7=
28*7=196
196+21= 217
Step-by-step explanation:
First you would multiply 28 and 7 then you'll get 196. Then you add 21 and get 217.