Answer:
y = -x + 8
Step-by-step explanation:
m = -1 ; x1 = 3 ; y1 = 5
Slope point form: y - y1 = m(x -x1)
y - 5 = -1(x - 3)
y - 5 = -1x - 3 *(-1)
y - 5 =-x + 3
y = -x + 3 + 5
y = -x + 8
How many is it all together
Which unique sequence of rigid motions maps quadrilateral ABCD to quadrilateral EFGH?
6
5
A
IB
x
634
1 2 3 4 5 6
E
G
A
A reflection over the x-axis followed by a translation of (z,y) → (2, y - 4).
B. A reflection over the y-axis followed by a translation of (1,y) → (I, y-6).
C. A translation of (I, y) + (1, y-3) followed by a reflection over the y-axis.
A translation of (€,y) → (3-6, y) followed by a reflection over the x-axis.
Answer:
The unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are;
B. A reflection over the y-axis followed by a translation of (I, y) → (I, y - 6)
('I' is the image of 'x' after reflection)
Step-by-step explanation:
The coordinates of the vertices of the quadrilateral ABCD are;
A(-5, 4), B(-2, 4), C(-2, 1), and D(-5, 2)
The coordinates of the vertices of the quadrilateral EFGH are;
E(5, -2), F(2, -2), G(2, -5), and H(5, -4)
By analysis, we have;
The signs of the x-coordinate of the preimage and the image are opposite, therefore, one of the rigid motions is a reflection across the y-axis
Similarly, the common difference between the y-coordinate values of the image and the preimage are;
-2 - 4 = -6
-2 - 4 = -6
-5 - 1 = -6
-4 - 2 = -6
The common difference between the y-coordinates of the image and the preimage is -6, therefore, the y-values are obtained by a translation of y - 6 units
Therefore, the unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are a reflection over the y-axis followed by a translation of (I, y) → (I, y - 6).
help me with these 2
9514 1404 393
Answer:
c) x = 6
d) x = 2
Step-by-step explanation:
In general, you want to "undo" what is done to the variable.
When variable terms are on both sides of the equal sign, you want to collect them on one side of the equal sign first. I like to do that by adding the opposite of the variable term with the lowest (most negative) coefficient.
Whatever you do to one side of the equation must also be done to the other side.
__
c) 2(x +3) = 18
x +3 = 9 . . . . . . divide both sides by 2
x = 6 . . . . . . . . . subtract 3 from both sides
__
d) 2x +15 = 27 -4x
6x +15 = 27 . . . . . . . add 4x to both sides
6x = 12 . . . . . . . . . . . subtract 15 from both sides
x = 2 . . . . . . . . . . . . . divide both sides by 2
Which equation is true for x = –6 and x = 2?
2x2 – 16x + 12 = 0
2x2 + 8x – 24 = 0
3x2 – 4x – 12 = 0
3x2 + 12x + 36 = 0
Answer:
x2 + 4x - 12
Step-by-step explanation:
(x + 6) ( x-2)
x2 - 2x + 6x - 12
x2 + 4x -12
Select the factor pair of -100 has a sum of 0?
Answer:
(2-12)
Step-by-step explanation:
Simplify the expression by combining like terms:
5c2 + 13c + 4 – 7c + 9
Answer:
5c^2 +6c +13
Step-by-step explanation:
so we can see than 5c^2
and 13c - 7c are the same = 6c
and 4 +9 = 13
so answer will 5c^2 +6c +13
Answer:
[tex] {5c}^{2} + 6c + 13[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex] {5c}^{2} (13c - 7c) + (4 + 9)[/tex]
2) Simplify.
[tex] {5c}^{2} + 6c + 13[/tex]
Therefor, the answer is 5c² + 6c + 13.
the cooler at a softball game holds 5 quarts of sports drink. how many cups of sports drink does the cooler hold
Answer: 20 cups :DD
Step-by-step explanation:
NEED HELP IN FINDING AREA
Answer:
809 km²
Step-by-step explanation:
I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)
(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}
425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}
425 + 312 + (6 * 12) {6 by 12 is 72.}
425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}
737 + 72
809 km²
The area of this figure is 809 km².
a = 8: b = ; C = 10.
Answer:
b=6
[tex]a^{2} + b^{2} = c^{2} \\ {8}^{2} + {b}^{2} = {10}^{2} \\ 64 + {b}^{2} = 100 \\ 100 - 64 = {b}^{2} \\ 36 = {b}^{2} \\ \sqrt{36} = \sqrt{ {b}^{2} } \\ 6 = b[/tex]
Create an inequality to describe the possible values for the total area, A, in square feet of your green section.
The Area of triangle represented using inequality is A ≤ 48.67 [tex]ft^{2}[/tex].
What is Area of triangle?
The area of a triangle is half the product of its base and height.
i.e., Area of triangle= [tex]\frac{1}{2} * b* h[/tex]
Given, b= 6.2 feet and h= 15.7 feet
Area of triangle= [tex]\frac{1}{2} * b* h[/tex]
= 0.5 x 6.2 x 15.7
= 48.67 [tex]ft^{2}[/tex]
The inequality will be: Area of triangle, A≤ 48.67 [tex]ft^{2}[/tex]
learn more about Area of triangle here:
https://brainly.com/question/19305981?
#SPJ2
PLEASE HELP- VKLFNJOF:L
Answer:
−4m + 10
Step-by-step explanation:
Combine Like Terms:
= 6m + 10 + −10m
= (6m+−10m) + (10)
= −4m + 10
Hope it helped.
A girl with a height of 5 ft casts a shadow of 2 ft. What would be the height of a building that casts a shadow 50 ft long at the same time?
Answer:The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet
Step-by-step explanation:
Brainliest for correct answer
Answer:
261.67 cubic feet
Use the Cone Volume formula V=πr^2 h/3
Find the measures of the numbered angles in each kite. I need the answer as fast as possible!!!!!!
Answer:
1 = 20°
2 = 90°
3 = 70°
4 = 55°
If you flip a coin 92 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2. Each is 1/2 x 1/2 = 1/4.
Step-by-step explanation:
Answer:
1/4 of 92 = 23 Hope this helps
An element with a mass of 700 grams decays by 6.1% per minute. To
the nearest tenth of a minute, how long will it be until there are 220
grams of the element remaining?
Answer
m =18.4 minutes
Step-by-step explanation:
220 = 700 x (0.939)^m
220/700 = (0.939)^m
m = Log(220/700) / Log(0.939)
m =18.4 minutes
Answer: the answer would be 18.4 minutes
Step-by-step explanation:
What is the area of a regular octagon with an apothem 16.9 yards long and a side 14 yards
long? Round the answer to the nearest tenth.
O 118.3 yd?
O6309 ydº
O946.4 yd?
O 1.892.8 yd
Answer: the anser is 946.4
Step-by-step explanation:
not sure
A toy car is dropped n a graduated cylinder with 15 mL of water. You look at the level after the car is in the cylinder and see that it is now 32mL The car weighs 279 What is its density
Answer:
The Answer is D= 7.47gLmL
Step-by-step explanation:
My work is in the screenshot below
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
third option
Step-by-step explanation:
Cory is saving for his son's college education. If the savings account earns 2.8% interest
compounded monthly, and he wants to have $25,000 in 18 years, what must the principal
be? Round your answer to the nearest dollar.
Answer:
principal is $15112
Step-by-step explanation:
25000=P(1+ 0.028/12)^(12times18)
The principal amount of the savings is $15111.6
How to determine the principal amount?The given parameters are:
Interest rate, r = 2.8%Amount, A = $25,000Time, t = 18 yearsNumber of times compounded, n = 12 i.e. monthlyAmount is calculated using:
A = P(1 + r/n)^nt
So, we have:
25000 = P(1 + 2.8%/12)^(12 * 18)
Make P the subject
P = 25000/(1 + 2.8%/12)^(12 * 18)
Evaluate the expression
P = 15111.6
Hence, the principal amount is $15111.6
Read more about compound interest at:
https://brainly.com/question/2455673
#SPJ9
a. Economic theory describes the relationship between inflation and unemployment as:
O positive.
O negative.
O independent
b. Using real-world data, this theory:
O is never found to be true.
holds only for certain time periods.
holds for all time periods.
c. True or false: Economists unanimously agree with the Phillips curve representation of unemployment and inflation in the
real world.
False
True
Answer:
1: The correction option is B) Negative
Explanation
In economic theory, the Philips curve depicts the relationship between unemployment and inflation as a negative one. In order words, when inflation goes up, unemployment reduces.
The logic behind that thinking is, that inflation, which is the general increase in prices of goods/commodities and services is good for business. Business owners are quick to adjust to higher prices regardless of how it is induced and sometimes even profit from it in sectors not affected by inflation. So in such sectors, as business improves, it is assumed that there is a requirement to being in more hands to help with the expansion of the business.
2. The correct option is B) Holds for certain time periods
Explanation
Social scientists and researchers have plotted the data across various periods (20 years) using data from the US economy.
The following results emerged:
the traditional relationship between inflation and unemployment held in 2001 during the mild recession triggered by the 9/11 situation. Unemployment took an upward spiral averaging an increase of 6% while inflation nosedived by 2.5%;Another snapshot was taken in the mid-2000s. This time unemployment went belly-up by several degrees, while inflation took off in the opposite direction by almost 5% before receding in 2006 when unemployment bottomed; In another analysis, the consumer price index took a steep downward dive during the Great Recession. This time, unemployment took a bullish charge, going up as much as 10%This negative relationship failed to hold between 2012 to 2015. Both factors developed a positive relationship and moved in the same direction; There has also been a loss of strength in the negative relationship as also seen in recent times. Specifically, between 2016 to 2019 where unemployment has steadily receded to 50-year lows, with inflation remained steady at an average of 2%.So the correct answer is B.
3. The correct answer is True:
Explanation
As seen from the analysis above, the negative relationship remains largely true for most of the periods examined. Hence it is more pragmatic to expect a dip in unemployment whenever there is a spike in the CPI.
Cheers
is anyone good with Vertex Angles? i need help
Answer:
t=5
Step-by-step explanation:
Vertical angles are congruent
So we put the value equivalent to each other
110=4t+90
Isolate t
110=4t+90
-90 -90
20=4t
Divide to isolate t
20/4=4t/4
5=t
What is the circumference of the circle below? Use 3.14 for π.
Answer:
78.5
Step-by-step explanation:
.....ur welcome.........
3.14×5²
Answer:
C. 31.4
Step-by-step explanation:
To find circumference, you need to use πd. Or just pi times whatever the circumference is. Hope this helped you!!!
I need the answer fast
Simplify 3x + 3 + 2
3x+5
5x+3
8×
Answer:
3x+5
Step-by-step explanation:
**Help Needed**
The picture below is a sketch of a picnic area with a courtyard. How much of the courtyard is available for use?
Answer:
87 m²
Step-by-step explanation:
The picnic area is the white inner rectangle, while the courtyard is the outer pink rectangle.
The area of the courtyard available for use = area of the pink rectangle - area of the white rectangle
✔️Area of the courtyard (pink rectangle) = L*W
L = 13 m
W = 7 m
Area of pink rectangle = 13*7 = 91 m²
✔️Area of the picnic (white rectangle) = L*W
L = 4 m
W = 1 m
Area = 4*1 = 4 m²
✅Area available in the courtyard for use = 91 m² - 4 m² = 87 m²
Find the value of x for ABCD is a parallelogram
Find parallelogram ABCD attached
Answer:
x = 3
Step-by-step explanation:
In parallelograms, the diagonals typically divide each other into 2 equal parts.
This means that from the attached parallelogram, we can say that;
4x - 6 = 2x or 6x - 15 = x
Thus;
4x - 2x = 6
2x = 6
x = 6/2
x = 3
Let's confirm with the second equation;
6x - x = 15
5x = 15
x = 15/5
x = 3
Complete the equation of the line whose y-intercept is (0, -1) and slope is 4.
(Khan academy)
Answer:
y = 4x - 1
Step-by-step explanation:
y = mx + b
Here m is slope and b is y-intercept
m = 4; b = -1
y = 4x - 1
Which of the following functions is NOT a linear function?
A y = 5
B
y == 5x
C y = 5(x - 2)
D y == 5x – 2 + x?
A. y = 5, is the correct answer.
B, C, D are all able to form into the y = mx + b equation, so it's not correct. A is not able to form that equation, therefore, A is correct. Hope that helps :)
Solve for x and show work!
Answer: x=8
Step-by-step explanation:
We know that it is a square, so the diagonals divide the four triangles evenly.
A whole circle will have 360°. When it is divides into 4, each angle will be
360/4=90°
The vertex of each triangle will be 90°
And the given vertex equation is 8x+26
8x+26=90
8x+26-26=90-26
8x=64
x=8
Hope this helps!! :)
Please let me know if you have any questions