The slope of B'C' is 1 and it can be determined by using formula of scale factor.
Given that,
ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
We have to determine,
What is the slope of B'C'?
According to the question,
ABC is an isosceles right triangle in which,
Slope of AB = -1
And AB is perpendicular to BC.
When the two lines are perpendicular to each other then,
[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
Length of Line segment A'B'= 1.8 × AB
So, the slope of the two-line Segment that is AB and A'B' are the same.
Slope of A'B'= -1
Length of Line segment C'B'= 1.8 × CB
So, the slope of the two lines that is CB and C'B' are the same.
The slope of B'C' is 1.
Hence, The required slope of B'C' is 1.
For more details Slope refer to the link given below.
https://brainly.com/question/8102490
Answer:
Slope of 1
Step-by-step explanation:
C. 1
75+45+x/69=180
solve for x please :)
Answer: just add 75 and 45 + x and do division for 69 ok but times the 45 with 69 ok good luck
Step-by-step explanation:
if a line has slope -2/3 and passes through point (-3,7) what is the y intercept
Answer: The y-intercept is 5.
Step-by-step explanation:
We can write what we know in the form of a slope intercept equation,
y=mx + b,
where m is the slope and b the y-intercept (the value of y when x=0).
We are given the slope:
y = -(2/3)x + b
We need a value of b that forces the line through the point (-3,7). Enter the point and solve for b:
y = -(2/3)x + b
7 = -(2/3)*(-3) + b for (-3,7)
7 = 2 + b
b = 5
The equation becomes y = -(2/3)x + 5
The y-intercept is 5.
See attachment.
If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?
Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
A) 78
B) 68
C) 88
D) 98
Answer:
B.68
Step-by-step explanation:
divide using polynomial long division
A Coke can has a radius of 4 cm and a height of 11 cm. What is the volume of the can?
Answer:
V ≈ 552.9 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × 4² × 11 = π × 16 × 11 = 176π ≈ 552.9 cm³ ( to the nearest tenth )
Answer:
The volume of Coke can is 552.64 cm².
Step-by-step explanation:
Given :
✧ Radius of Coke can = 4 cm.✧ Height of Coke can = 11 cm.To Find :
✧ Volume of Coke canUsing Formula :
[tex]{\star{\small{\underline{\boxed{\sf{\red{V_{(Can)} = \pi{r}^{2}h}}}}}}}[/tex]
✧ V = Volume ✧ π = 3.14 ✧ r = radius ✧ h = heightSolution :
Here's the Coke can is in cylindrical form.
So, finding the volume of Coke can by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{Volume_{(Can)} = \pi{r}^{2}h}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4)}^{2} \times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4 \times 4)}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(16)}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {16}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314}{100} \times {16}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314 \times 16 \times 11}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{5024 \times 11}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{55264}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}[/tex]
[tex]\star{\red{\underline{\boxed{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}}}[/tex]
Hence, the volume of Coke can is 552.64 cm².
So far, Charlie has pures 456.6 Glories. He wants to burn a total of 500 calorierHow many more calories must Charlie burn?
| 0
2
what is 90 degrees plus 39 degrees plus 7x+16
I need help anyone please help.
Answer:
1/4 or 1/2 good luck my guy
Step-by-step explanation:
I need help with this question
Answer:
2√14m
Step-by-step explanation:
Hypothenus = 9m
Second side = x
third side = 5m
Using Pythagoras theorem
9² = x² + 5²
81 = x² + 25
x² = 81 - 25
x² = 56
x = √56
= √4 × √ 14
= 2√14m
3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.
Answer:
0.75 And 75%
Step-by-step explanation:
If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4
Lucy bought a desk on sale for $883. This price was 15% less than the original price.
the answer to the question is 898$
here is the next question jj
Answer:
3.7 and east.
Step-by-step explanation:
Answer:
3.7 and east
Hope this helps! Good luck!! :)
Find 110% of 80 by writing the percent as a fraction
Answer:
[tex]\frac{80}{100}[/tex] i think its 80 or 88
Step-by-step explanation:
so sorry if this is wrong
Answer:
88
Step-by-step explanation:
x / 80 = 110 / 100
Cross multiply
80 * 110 = 100x
8800 = 100x
Divide both sides by 100
88 = x
Using the formula A = l w, determine the area of a rectangle when l = 3.7 and w = 4. Group of answer choices A.) 4.1 B.) 7.7 C.) 12.7 D.) 14.8
Answer:
D 14.8
Step-by-step explanation:
A=L*W which means length times width. 3.7x4= 14.8
how do you know how many points are needed to make a graph of a polynomial function from a table? are there a safe number of points to make the graph of any polynomial function? if so, what is that number? please help, explain well if possible
Step-by-step explanation:
You need a arbitrary points that will help you determine the sketch of the graph. I say use at most 5 points but you just need to know the following
The exterma: The maximum/minimum points on a certain interval.
The zeroes: What values willTheorem, Factoring, and more to help you find the zeroes.
Increasing and decreasing behavior between the consective zeroes: How the function behaves around consective zeroes. It must be above or below x axis between the zeroes.
And finally, the end behavoir: How the function behaves as x approaches infinity and negative infinity. Does the function increases or decreases.
That it. If you need an example, just ask me
How do you write 750% as a fraction or mixed number
Answer:
750/100 or 7 1/2 whichever way u need
Step-by-step explanation:
Which statement is necessarily true if is an altitude to the hypotenuse of right ?
Step-by-step explanation:
it's b
i relly don't know cause theres no image
It takes 2 ½ spoons of chocolate to make ⅗ gallon of chocolate milk. How many spoons of chocolate would it take to make 1 gallon of chocolate milk?
Answer:
5 spoons
Step-by-step explanation:
2 1/2 +2 1/2=5
so the answer would be: it takes 5 spoons to make a gallon of chocolate milk
Lyssa and Carlos own a hardware store. They sell a certain type of light bulb in packages that each contain 24 bulbs. The back of each package says, " The expected number of broken or defective packages per bulb is 0.25"
Lyssa says, "If we look at 100 packages, we expect to see a total of about 250 broken or defectve bulbs"
Carlos says, "Any given package most likely contains 0.25 broken or defective bulbs".
Which Statement is correct based on the expected value?
A. Only Lyssa
B. Only Carlos
C. Both Statements are correct.
D. Neither Statement is correct.
Answer:
Neither statement is correct
Step-by-step explanation:
Khan
Answer:
Neither statement is correct
Step-by-step explanation:
Answer on Khan Acadmey
What is the percent increase of 24 to 32?
Answer:
8%???????????????????????
I will show you how calculate the Percent Change from 24 to 32.
Basically, we are trying to find the change from 24 to 32 in terms of percent. We do this in three steps:
1) Find the difference between 24 and 32 as a number.
2) Divide the result from Step 1 by the starting number 24.
3) Multiply the result from Step 2 by 100 to get it in terms of percent.
The three steps above can be made into a formula. So, to find the percent change from 24 to 32, we use this formula:
((Y-X)/X)*100 = Percent Change
X is the starting number 24, and Y is the ending number 32 that it changed to. When we enter these numbers into the formula, we get:
((32-24)/24)*100 = 33.33%
So, the answer to the question "What is the Percent Change from 24 to 32?" is:
33.33%
Note: All percent answers are rounded to the nearest two decimals if necessary.
-ㄚㄩ尺丨
Chance and Destiny went shopping at New Fashion Shop,
Everything in the store was at a 30% discount. Chanice
found a dress that was originally $65.00. What was the sale price?
The linear parent function, f(x) = x, was transformed to create a graph g(x) = f(x + 4).
Which statement about the graphs is true?
O The graph of fis steeper than the graph of g.
O The graph of fis shifted 4 units left to create the graph of g.
O The graph of fis less steep than the graph of g.
O The graph of fis shifted 4 units right to create the graph of g.
Answer:
2nd option
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
g(x) = f(x + 4)
Is the graph of f(x) shifted 4 units to the left
-424 +122-72+2
Jason tried to find an expression equivalent to the rational expression
by using
202+1
polynomial long division. His work is shown below.
- 2x + 7x
2x + 1) - 4x4 + 12x3 - 7x + 2
-(-4x4 - 2x2)
14x - 7x + 2
- (14x3 + 7x)
-14x + 2
Jason concluded that -202 + 7+ +
-142+2
was equivalent to the rational expression. Jason's
2x+1
conclusion is incorrect.
O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2
He made a mistake by multiplying 2x² + 1 by 2x2
O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2
O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1
+
Need help understanding this ?
Answer:
The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem. The sum of what was written is -372. There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.
Step-by-step explanation:
What does "by using
202+1
polynomial long division." mean??
do the numbers after the x's represent exponents?
e.g.: "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"
Lester has 2 toy cars. Ivan has t times as many toy cars as Lester. Write an expression that shows how many toy cars Ivan has
Answer:
I=2t
Step-by-step explanation:
ivan has 2 times t
BRAINLIEST
Please solve
Find the value of x in the triangle shown below.
Answer:
u did a lot of this budy a lot of these
Step-by-step explanation:
reasking the answer for this one, solve for x please and thank you. click on file
Answer:
44
Step-by-step explanation:
A circle is 360 degrees.
145 +136 + 35= 316
360-316= 44
44 Degrees
The graph shows a proportional relationship. Which equation matches the
graph?
A. y = 1/7 x
B. y = 14x
c. y = 7x
D.y = x
Answer:
The answer is C.
Just trust me.
Yolonda ran 4 times last week here are the distances she ran in km
17.9,6.03,15.66,3
What’s the total distance ran
Answer:
42.59 km
Step-by-step explanation:
Total distance = 17.9 + 6.03 + 15.66 + 3 = 42.59
Answer:
42.59 km
Step-by-step explanation:
When a question tells you to find the total of something it is usually means you need to add to add decimals you align the decimals and if a number doesn't have a decimal you add .0 on the end then line it up. It also might help to add a 0 in empty spots . Then you move the decimal to the same place in the solution and add like normal.
17.90
06.03
15.66
+03.00
42.59
A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?