The translation T‹1, -3› (x, y) can be expressed as a composition of a horizontal translation and a vertical translation as (x + 1, y - 3).
To express the translation T‹1, -3› (x, y) as a composition of a horizontal translation and a vertical translation, we can break it down into two separate translations:
Horizontal translation: T‹1, 0› (x, y)
This translation shifts the coordinates of a point horizontally by 1 unit without affecting the vertical position. It can be expressed as (x + 1, y).
Vertical translation: T‹0, -3› (x + 1, y)
This translation shifts the coordinates of a point vertically by -3 units without affecting the horizontal position. It can be expressed as (x + 1, y - 3).
Combining these two translations, we get the composition:
T‹1, -3› (x, y) = T‹0, -3› (x + 1, y) = (x + 1, y - 3)
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Fran solved the equation 42 = x + 23. Although her final answer was correct, she could have found it in a simpler way. Which sentence best explains why? 23 should be added to the left side and 42 added to the right side. 23 should have been subtracted from, not added to, both sides of the equation. 42 should be subtracted from both sides. The variable must be moved to the left side of the equation.
Answer:
23 should have been subtracted from, not added to, both sides of the equation.
The equation for the speed/distance
of a tornado is s = 93 log(d) + 65.
If the speed is 190 mph, what is the distance?
Step-by-step explanation:
S = 93 log (d) + 65; S = wind speed; d = distance traveled by tornado
A) tornado travels 130 miles = d; find S
S = 93 log10(130) + 65
S = 261.6 mph rounds up to 262 mph
Answer:
22 milesStep-by-step explanation:
s = 93 log(d) + 65 and s = 19093 log(d) + 65 = 19093 log(d) = 125log (d) = 125/93log (d) = 1.344 (rounded)d = 10^1.344d = 22 miles (rounded)What is the least number of plums that can be shared equally among 6, 9 or 12 children?
Answer:
in order to find the least number of plums that can be shared, we have to find the greatest common factor of 6 ,9 and 12. the greatest common factor of 6 , 9 and 12 is 3. so if we have three plums. for 6 children , we have 3 plums.
Step-by-step explanation:
:)
FGH, m∠G= 30° and m∠H= 100°. What is the measure of ∠F?
Answer:
∠F = 50°
Step-by-step explanation:
The sum of all three angles in a triangle = 180°
∠F = 180° - 30° - 100° = 50°
1)4/9 ÷ 2/3
2) 5/13 ÷ 7/6
3)13/15 ÷ 9/10
4) 5.2 x 8.5
5) 12.5 x 7.9
6) 0.3 x 11.2
7) 9 ÷ 4.5
8) 5.9 ÷ 0.54
9) 12.9 ÷ 46.5
Solve these question while showing your work.
Find the volume of a sphere with a surface area of 1296 in.
Answer:
V≈4387.14
Step-by-step explanation:
Janice bought an antique clock originally priced at $967 but on sale for 5% off. After 1% sales tax, what was the total cost?
Answer:
927.84
Step-by-step explanation:
The total cost of the antique clock that Janice bought is $927.82 approximately.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we have:
Original price of clock = $967Sale discount = 5% on original price1% sales tax on the discounted priceTotal cost = (discounted price of clock)'s price + sales tax of discounted price.
Let d = discounted price of the clock
Then, we have:
[tex]d = $967 - \text{5\% discount on 967} \\\\d = 967 - \dfrac{967}{100} \times 5 = \$918.65[/tex]
1% sales tax on 'd' will be: [tex]\dfrac{d}{100} \times 1 = \$9.1865 \approx \$9.19[/tex]
Thus, we get:
Total cost of the clock ≈ 918.65 + 9.19 = 927.82 (in dollars)
Thus, the total cost of the antique clock that Janice bought is $927.82 approximately.
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Is 14 a solution for the equation -5 + 2x = 23? Explain.
Answer:
Yes because after solving the equation, x does indeed equal 14.
Step-by-step explanation:
-5 + 2x = 23
2x = 23 + 5
2x = 28
x = 14
Answer:
-5 + 2x= 23 x= 14 (Correct)
Step-by-step explanation:
This is true because the first step you take to sloving this equation is to move the constant to the right. Then calculate. Divide both sides and your answer should equal x=14!
Someone help me out. So the question is Distance = Rate x Time What is the distance traveled if it took me 3 hours to travel at a rate of 60 miles per hour?
Answer: 180 miles
Step-by-step explanation:
From the question, we should note that the distance taken will be calculated by using the formula which will be:
Distance = Rate × Time
where,
Rate = 60 miles per hour
Time = 3 hours
Distance = 60 × 3
Distance = 180 miles
Therefore, the distance travelled is 180 miles.
Listed below are body temperatures from five different subjects measured at 8 am and again at 12 am. find the values of d overbar and s subscript
d. in general, what does mu subscript d represent
Answer:
= −0.26
= 0.4219
Step-by-step explanation:
Given:
Sample1: 98.1 98.8 97.3 97.5 97.9
Sample2: 98.7 99.4 97.7 97.1 98.0
Sample 1 Sample 2 Difference d
98.1 98.7 -0.6
98.8 99.4 -0.6
97.3 97.7 -0.4
97.5 97.1 0.4
97.9 98.0 -0.1
To find:
Find the values of and
d overbar ( ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5
= ∑d/n
= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5
= −1.3 / 5
= −0.26
s Subscript d is the sample standard deviation of the difference which is calculated as following:
= √∑( - )²/ n-1
=
√
= √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −
(−0.26))² + (−0.1 − (−0.26))² / 5−1
=
=
=
= 0.4219
= 0.4219
Subscript d represent
μ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.
Step-by-step explanation:
Stella bought 14 purses for $50. The next day she bought 2 more for a total of $38. What was the mean cost per purse?
Answer:
$48.5
Step-by-step explanation:
Given data
Number of purses= 14+2= 16
Cost of 14 purses= $50
Cost of 2 purses= $38
Let us use the weighted cost method
Mean cost = (14*50+ 2*38)/16
Mean cost = (700+ 76)/16
Mean cost = 776/16
Mean cost =$48.5
The graph shows a line and two similar triangles which expression finds the equation of the line?
Answer:c
Step-by-step explanation:
Answer:
hello, sorry i'm late, your answer would be: option b, y/x = 2/3
Step-by-step explanation:
proof:
WILL MAKE BRAINLIST only if you solve this
Answer:
18/18 is fractions
16/16 is fractions
Step-by-step explanation:
18/18x16/16=1
Theres your answer.
Find the value of x and classify the triangle plzzz
Answer:
x=24°
The triangle is an obtuse isosceles triangle
Step-by-step explanation:
This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.
The interior angles of a triangle add up to 180, so let's make an equation.
132+2x=180
Then solve for x
subtract 132 from both sides
2x=48
Divide by 2 on both sides
x=24
plz help PLEASE.........
Answer:
7x² + 11x - 18
Step-by-step explanation:
13x² - 8 + 11x - 6x² - 10
13x² - 6x² + 11x - 8 - 10
7x² + 11x - 18
Please check my answer !! thank you ⭐️
Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 68 miles. If the two airplanes are 85 miles apart, how far has the eastbound airplane traveled?
Answer:
17 miles
Step-by-step explanation:
85 - 68
17
25 POINTS !!
4
Select the correct answer.
Consider this equalion
sin()
4729
29
If 0 is an angle in quadrant IV, what is the value of cos();
OA.
OB.
4729
29
V377
29
4729
29
377
29
O c.
OD.
Answer:
B
Step-by-step explanation:
please help!!!!!
(find the volume)
how to solve this solid? please with explanation
Answer:
it's easy 464*574*7543*=Baba .ki
HELPPPPP TYYY NO LINK OR ELSEWEE.. LOL
41.12 is the answer
so the perimeter is cirumference of circle + 16
25.12 + 16
41.12 is the perimeter
question is in the photo
Answer:
AB = 2×2=4, 3×3=9, 4×4=16, 5×5=25
is the right answer
PLZZZZZZZZZZZZ HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help pls can u help me
Answer:
Inverse variation equation:
y = k/xIf y = 2, x = 9, find k:
9 = k/2k = 9*2k = 18(a)
Equation of this function:
y = 18/x(b)
x = 12, y = ?
y = 18/12y = 1.5PLEASE HELP!!!
!!!!!
Answer:
129°
Step-by-step explanation:
The angle with measure 51° and angle x are same-side exterior angles meaning that they are supplementary (sum equals 180°).
To find angle x, just subtract 51 from 180. :D
Please help and can you just type the answer because files don’t work please and thank you
Answer:
2.03
Step-by-step explanation:
Can someone explain how to solve this
Consider the system of equations.
3x − y = 5,
2x + 3y = −15
Which value can the first equation be multiplied by to form opposite values on the y-term? A=-3 B= -2 C=2 D=3
The solution to the system of equations is .A= (-5,0) B= (5,0) C= (0,-5) D=(0,5)
Answer:
D and C
Step-by-step explanation:
Given the 2 equations
3x - y = 5 → (1)
2x + 3y = - 15 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate the y- term
9x - 3y = 15 → (3)
Add (2) and (3) term by term to eliminate y
11x + 0 = 0
11x = 0 ⇒ x = 0
Substitute x = 0 into either of the 2 equations and solve for y
Substituting into (2)
2(0) + 3y = - 15
0 + 3y = - 15
3y = - 15 ( divide both sides by 3 )
y = - 5
solution is (0, - 5 )
Answer:
d and c my guy
Step-by-step explanation:
just did it
Help me please ( only correct answers) ty
Answer:
135 cubic cm
Step-by-step explanation:
Split the shape into two so one is 7x3x5 and the other is 3x2x5. Multiply those then add together
HELP ASAP
Find a set of parametric equations for the rectangular equation.
t=7-x
y=1/x
a.x=7+t,y=1/(-t+7)
b.x=t-7,y=-1/(t+7)
c.x=7-t,y=-1/(t-7)
d.x=t-7,y=1/(t+7)
e.7+t,y=1/(t-7)
9514 1404 393
Answer:
c. x = 7-t; y = -1/(t -7)
Step-by-step explanation:
To find the parametric equation for x, use the equation for t and solve for x.
t = 7-x
x = 7 -t . . . . . . add x-t to both sides
__
To find the parametric equation for y, substitute the equation for x.
y = 1/x
y = 1/(7-t)
To make this match the available choices, we need to multiply numerator and denominator by -1.
y = -1/(t -7)
The parametric equations are ...
x = 7 -t; y = -1/(t -7) . . . . . . matches choice C
Answer: it is C
Step-by-step explanation:
Find the rate change