Answer:
The scale factor of the dilation is 3 ⇒ A
Step-by-step explanation:
If a polygon dilated by a scale factor k, then the ratio between its sides and the corresponding sides of its image equals k The length of a vertical segment is the difference between the y-coordinates of its endpointsIn the given figure
∵ EFGH is a polygon
∵ E = (-2, 1), H = (-2, -1)
∵ EH is a vertical side
→ By using the 2nd rule above
∴ The length of EH = 1 - (-1) = 1 + 1
∴ The length of EH = 2
∵ E'F'G'H' is its image after dilation by scale factor k
∵ E' = (-2, 5), and H' = (-2, -1)
∵ E'H' is a vertical side
∴ The length of E'H' = 5 - (-1) = 5 + 1
∴ The length of E'H' = 6
→ By using the 1st rule above
∴ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{E'F'}{EF}[/tex] = [tex]\frac{H'G'}{HG}[/tex] = [tex]\frac{F'G'}{FG}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{6}{2}[/tex]
∴ [tex]\frac{E'H'}{EH}[/tex] = 3
∴ k = 3
∴ The scale factor of the dilation is 3
pakisaguatn pls help me asappppppppppp
nahihirapan po ako dito
plsssss
Answer:
Step-by-step explanation:
conversion factors:
m:cm= 1:100
dm:km= 1,000,000:1
m:mm= 1:1000
hg:dg= 1:1000
g:cg= 1:100
kg:g=1000
so we plug in:
5m=500 cm
5246dm=0.5246km
5.246m=5246mm
3.7hg=3700dg
0.37g=37cg
370kg:370000
so the word is SPEAKUP
Let x represent the number of years in 2004 and y represent the number of catalogs Catalogs. Number in 2004. Growth rate Online. 7440. 1293 Print. 3805. -1364
Answer:
The answer is below
Step-by-step explanation:
a) x represents the number of years since 2004 this means that x = 0 represent the year 2004, y represent the number of catalogs. From the table the numbers of catalogs in 2004 are y-intercepts and the slope is the growth rates. Hence the equations are:
y = 1293x + 7440 (1)
y = -1364x + 3805 (2)
b)
y = 1293x + 7440 (1)
y = -1364x + 3805 (2)
Subtract equation 2 from equation 1 to get:
0 = 2657x + 3635
2657x = -3635
Divide through by 2657
x = -1.368
Put x = -1.368 in equation 1:
y = 1293(-1.368) + 7440
y = 5671.1
This means that about 1.4 years before 2004, the number of catalogs where 5671
40 is a rational number.
Answer: if its a true or false question then yes 40 is a rational number
Step-by-step explanation:
Answer:
40 is a rational number
Step-by-step explanation:
It can be expressed as a quotient of two factors
40/1
50 points please help!!!
Answer:
the answer would be B.
Step-by-step explanation:
it's the correct answer
Answer:
A
Step-by-step explanation:
I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers
If Cathy receives all the discounts (30%, 20%, 10%, 15%, and an additional 20% Holiday Bonus Bucks discount, how much will she pay for the $90 sweater?
Answer:
She will pay $30.8448.
Step-by-step explanation:
Consider the provided information.
The price of the sweater is $90.
She gets a discount of 30% it means she needs to pay only (100-30)%=70% of $90.
70% of $90 = [tex]0.7\times 90 = 63[/tex]
Now she gets a discount of 20% it means she needs to only 80% of $63.
[tex]0.8\times 63=50.4[/tex]
If she gets a discount of 10% on $50.4 it means she needs to pay 90% of 50.4
[tex]0.9\times 50.4=45.36[/tex]
If she gets a discount of 15% on 45.36 it means she needs to pay only 85% of 45.36
[tex]0.85\times 45.36 =38.556[/tex]
Now she gets an additional 20% holiday Bones Buck discount it means she needs to pay 80% of 38.556
[tex]0.8\times 38.556=30.8448[/tex]
Hence, she will pay $30.8448.
7x^2a+7xa^2
Find the greatest common factor
Answer:
GCF is 7xa
Step-by-step explanation:
Answer:
hCf is 7ax
plz refer to the picture
plz mark as brainliest
The aquarium where Evan works has a special tank for the baby sharks. The tank is shaped like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the bottom of the tank to the top. What is the volume of the shark tank?
Answer:
The volume of the shark tank is [tex]2160 m^3[/tex]
Step-by-step explanation:
The tank is in the shape of a rectangular prism.
The length of the tank, [tex]l=18[/tex] m.
The width of the tank, [tex]w=15[/tex] m.
The height of the tank, [tex]h=8[/tex] m.
We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].
So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]
Hence, the volume of the shark tank is [tex]2160 m^3[/tex].
Using a graph, table of values, and/or equations solve the following problem.
A sofa and a love seat together costs S351. The sofa costs double the love seat. How much does the love seat cost?
Round and write your answer to the tenths place value. Do not include units
Answer:
The love seat cost $117.
Step-by-step explanation:
Given that,
A sofa and a love seat together costs $351.
Let love's seat = x
Sofa's seat = 2x
ATQ,
x+2x = $351
3x = $351
[tex]x=\dfrac{351}{3}\\\\x=\$117[/tex]
So, the love seat cost $117.
Can someone help me with these answers please
Answer:
7. 7x
8. -2v+19
9. 8p-26
10. 14y-5
11. 7m-13
12. -8k+25
13. -3w-13
14. -9c+27
15. m+4n
16.-7s
17. 6x-13y-24
18. 6h-16b
19. -9p+9q+12
20. 2k/5+ 31/4
Step-by-step explanation:
HELP ASAP!! I WILL MARK BRAINLIEST!! Write an equation for the graph.
Answer:
y = 7/4x
Step-by-step explanation:
All you have to do is find the slope by using the formula change in y divided by change in x of the two points. You can see that y goes up by 14 when x goes up by 8. This means that the slope is 14/8, or 7/4.
The equation would then be y = 7/4x
(x^3+3x^2-x+2)/(x-1)
Answer:
x^2 + 4x + 3 with a remainder of 5
Please help will give brainlist to first answer due at 10 15 An artist mixes yellow paint with blue paint to make a certain shade of green. The ratio of yellow to blue is 3 to 5. How much yellow paint should the artist mix with 20 ounces of blue paint. Write a proportion and solve.
Answer:
12 onces of yellow paint should be use
Step-by-step explanation:
3:5
= 3 x 4 =12 and = 5 x 2 = 20
Answer:
12:20
Step-by-step explanation:
12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20
Okay I need 1 and 2 please help
Answer:
1. x=2 y=4
2. x=2 y=2
Step-by-step explanation:
Help Link (little green guy on the left) defeat Ganon and save Zelda. Find the distance from Link to the Green Soldier so Link can attack. Press "Submit" to check your work.
Answer: 5 units
Step-by-step explanation:
The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.
This can be calculate using the Pythagoras rule:
c² = a² + b²
c is the hypothenuse.
a in the triangle = base = 4 units
b = height = 3 units
c² = 4² + 3²
c² = 16 + 9
c² = 25
c = √25
c = 5 units
Answer:
wait i'm tho lol
Step-by-step explanation:
i will give brainiest to whom answers correct and the fastest and a thanks
Answer:
(D) The bottom graph, and (A) The top table.
Step-by-step explanation:
The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.
From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.
For table A:
x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1
x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0
x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2
x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3
Since the table matches up with the inputs and outputs of the table, it is a correct answer.
For table B:
x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5
x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7
x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9
x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11
x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13
5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.
Graph C:
Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.
Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.
But the x intercept doesn't match up as shown here.
y = 0 → y = x + 2 → (0) = x + 2 →
0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1
When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.
✓ Table A: y = x + 2
× Table B: y = 2x – 1
× Graph C: y = 2x + 2
✓ Graph D: y = x + 2
Can u pls help me with this question
f(x) = x2 + 8, g(x) = 5x - 2.
Answer:
Step-by-step explanation:z
5) Amarian scored 24 points in the second half of the basketball game.
This is 75% of the points he scored in the game. How many points did
Amarian score in the game?
(The answer is NOT 18)
express the following ratio in their simplest form 45cent: $2.25
Answer:
$1.80
Step-by-step explanation:
i had this question
I NEED HELP WITH THIS !
I WILL GIVE BRAINLIEST ihrugq'iu;igig54i;gtq;ha;gv
Diego wrote the inequality 5m + 10 ≤ 130 to represent m, the number of minutes he spent doing homework for one class. Which is the greatest amount of time he could have spent doing homework for each subject?
28 minutes
23 minutes
20 minutes
24 minutes
please help will mark brainliest
Answer:
[tex]m\angle N=57^{\circ}[/tex]
Step-by-step explanation:
From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].
Therefore:
[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .
Answer:
LMN is rectangle in L so LMN= 180° ; ML=66°;N=? N= 180°- 66°=114=114/2= 57° so N=57°
Step-by-step explanation:
When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.
PLEASE HELP HOW DO I SOLVE THIS?
12 + 7c = 103
Answer:
13
Step-by-step explanation:
7c=103-12
7c=91
c=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
12+7c=103 Equation/Question
Step 2
12+7c=103 Simplify
Step 3
12+7c=103 Subtract 12
7c=91
Step 4
7c=91 Divide both sides
answer
c=13
Hope this helps
Someone help me Solve x
Answer:
x=12Step-by-step explanation:
Hope this helpsI would explain but I have some work so sorryAnswer:
x = 12
Step-by-step explanation:
Angles and Lines
The figure attached below has been completed with the angle y to support the calculations to come.
The sum of the interior angles of a rectangle is 180°. Applying on triangle PQR:
30 + 4x + 2 + y = 180
Simplifying:
32 + 4x + y = 180
Solving for y:
y = 180 - 32 - 4x
y = 148 - 4x
Angles y and 8 + 6x are a linear pair, i.e. their sum is 180°, thus:
y + 8 + 6x = 180
Substituting y from the equation above:
148 - 4x + 8 + 6x = 180
Simplifying:
156 + 2x = 180
Dividing by 2:
78 + x = 90
Subtracting 78:
x = 90 - 78
x = 12
What’s the measure of the other angle?
PLEASE HELP ASAP IT'S DUE TODAY Use the graph of the function below to answer the questions that follow.
Answer:
So for..
a. from: 2 to: 4
b. from: 0 to: 2 ( I believe this one, may be incorrect- sorry if so)
c. from: 6 to: 10 ( I believe also for this one, sorry if incorrect)
d. from: 5 to: 6 ( I beleive- that is what it looks like- sorry if incorrect)
e. They are staying at a constant rate, not changing, at rest...
Hope this helps!
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $210.29
Markdown: 78%
The sale price is $
Answer:
$46.27
Step-by-step explanation:
210.29×.78=164.02
210.29-164.02=46.27
Which algebraic expression represents this mathematical statement? 32 more than a number
A. m
B. s
C. d
D. x
The slope of the line that passes through the points (6, 9) and (11, 2) is
Answer: (5,7)
Step-by-step explanation:
Ja'kniya and Alayjah are shopping at the Apple Store. Ja'kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6 screensavers and 2 Otterboxes for $26. How much did each screensaver and each Otterbox cost?
Answer: Each screensaver costs $2 and each Otterbox costs $7.
Step-by-step explanation:
Let x = Cost of each screensaver and y = cost of each Otterbox.
As per given, 4x+3y=29 (i)
6x +2y = 26 (ii)
Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get
9x+3y=39 (iii)
Eliminate (i) from (iii) , we get
5x = 10
⇒ x = 2 [Divide both sides by 5]
Put value of x in (i), we get
4(2)+3y=29
⇒ 8+3y= 29
⇒ 3y= 21
⇒ y =7 [Divide both sides by 7]
Hence, Each screensaver costs $2 and each Otterbox costs $7.