Answer:
-4,8
Step-by-step explanation:
If vertex A is located at (-1, 2) then the coordinates of A' is
What is Translation?A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. One illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape. Every point in the shape is moved in the same direction and by the same amount.
We have,
The triangle is translated 6 units up and 3 units left.
If vertex A is located at (-1, 2).
To Translate 6 units up we have to add 6 to the y coordinate.
and, to translate 3 units left we have to subtract 3 from the x coordinates.
So, the coordinates after translation is
A (-1,2) --> A' (-4,8)
B (1,5) --> B' (-2,11)
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a model of a plane is made using a scale of 1:5 if the real length of a plane is 20m what is the length of the model?
Answer:
4
Step-by-step explanation:
you must scale down to size- 1 m in real life = 5 (unit) in the model
20/5= 40
hope this helps :)
Answer:
4m
Step-by-step explanation:
1/5 of 20
This diagram shows a right cylinder. Recall that the area of
a circle is A = ar?. What is the formula for the volume of
the cylinder?
Answer:
A=Pi x radius x height+2 x pi x radius^2
Step-by-step explanation:
Answer:
Sample answer
Solve the equation shown below.
1/2x−6=4
x =−4
x=−2
x=10
x=20
Answer:
x = 20
Step-by-step explanation:
→Add 6 to both sides:
[tex]\frac{1}{2} x-6=4[/tex]
[tex]\frac{1}{2} x=10[/tex]
→Multiply both sides by 2:
x = 20
Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary
Answer:
x=3.9 approximately
Step-by-step explanation:
Using Pythagorean theorem:
[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]
[tex]x^{2} + 25x^{2} = 400[/tex]
26x^2 =400
x^2 = 15.3846
x=3.9
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseApplicationStep 1: DefineLet's define what the problem gives us:
We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:
a = 5xb = xc = 20Step 2: WorkNow, we can substitute our variables and solve for x, which will help us find the side lengths as well:
[Pythagorean Theorem] Substitute in variables:∴ our x approximately equals 3.9.
Now we can use our value of x to solve for the missing triangle lengths:
Length of 5x:
Substitute in x:∴ this particular side length has a length of 19.5.
Length of x:
Substitute in x:∴ this particular side length has a length of 3.9.
Answer∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.
___
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___
Topic: Geometry
Unit: Triangles
Please help
will give brainliest (if I can)
If the intercepts of a line are (a, 0) and (0, b), what is the slope of the line?
Answer:
a−b=aa=1
Step-by-step explanation:
Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.
What are the coordinates of the center of the hyperbola with equation (x-2)^2/4^2-(y+3)^2/5^2=1
Answer: (6, -3)
(x^2-4x+4)/16-(y^2+6y+9)/25 = 1
x = 6
y = -3
6^2 = 36
4 * 6 = 24
36 - 24 = 12
12 + 4 = 16
16/16 = 1
-3^2 = 9
6 * -3 = -18
9 - 18 = -9
-9 + 9 = 0
0/25 = 0
1 - 0 = 1
I really hope this helped, at least a little bit.
The coordinates of the center of the hyperbola is (6,-3).
What is hyperbola?
Hyperbola is a type of "smooth curve, lying in the plane defined by its geometric properties or by the equation for which it is in solution set".
According to the question,
[tex]\frac{(x-2)^2}{4^2}[/tex] - [tex]\frac{(y+3)^2}{5^2}[/tex] = 1
Standard form of hyperbola = [tex]\frac{(x-k)^2}{a^2}[/tex] - [tex]\frac{(y-h)^2}{b^2}[/tex] = 1.
The expression 'y' is positive leading coefficient so the hyperbola so the hyperbola is open upward and downward . Comparing with standard equation we get center of hyperbola (2,-3) and 'a' point the hyperbola is 4 and the 'b' point of hyperbola is 5 and mark point 5 unit right as well as left on x-axis and 4 unit up and down on y-axis.
From above discussion we get clearly the coordinate of hyperbola is
(6-3).
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A grocery store has 45% of its carts being used. Which ratio compares the used carts with all the carts that the store has? A. 10:100 B. 45:55 C. 55:100 D. 9:20
Answer:
D
Step-by-step explanation:
45%=[tex]\frac{45}{100}[/tex]
[tex]\frac{45}{100}[/tex] is equal to [tex]\frac{9}{20}[/tex]
so D
HOPE THIS HELPS
Answer: 9:20
Step-by-step explanation:
45% if carts used from the 100%
Ratio will be 45:100 = 9:20
The value of x in 5(8+x)=20
Answer:
x = -4
Step-by-step explanation:
5(8+x)=20
Divide each side by 5
5/5(8+x)=20/5
8+x = 4
Subtract 8 from each side
8+x-8 = 4-8
x = -4
The right answer is -4.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
PLEASE HELP ME!! I WILL MARK BRAINLIEST, PLEASE ANSWER ALL 4 QUESTIONS BELOW ABOUT THE MATHEMATICAL EQUATION!
y = 595(1.075)x
1. What is the starting amount?
2. What is the growth factor?
3. What is the growth rate?
4. How many factors are in the equation?
Step-by-step explanation:
The starting amount is the coefficient of the exponent which is 595.
The growth factor is 1.075 and the growth rate would be 7.5%.
There are 2 factors in the equation.
HELP PLEASE I NEED HELPPPP
What is the sign of....
a x (-b/b)
when a =0 and b<0
A. positive
B. negative
C. zero
THIS IS ON KHAN ACADEMY AND I DONT GET IT IF U ANSWER ILL GIVE YOU BRANLIEST AND 100 points PLEASE JUST HELP MEH
Answer:
C. zero
Step-by-step explanation:
a * (-b/b)
-b/b = -1
a* -1
If a = 0 then
0 * -1 = 0
Answer:
0
Step-by-step explanation:
pls give brainliest
What is the slope of -2x+ 5y = 10?
Answer:
the rise is 2 and the run is 5
Step-by-step explanation:
2/5
Answer:
Step-by-step explanation:
the slope is = 2/5
the y-intercept = 2
Given:
AC – AR
<1 = <2
Prove:
<3 =<4
Answer:
ΔCTA ≅ ΔDRA
Step-by-step explanation:
Triangles CTA and DRA are congruent by ASA postulate. This is because:
∠1 ≅ ∠2 (given)AC ≅ AR (given)∠A is the same for both triangles (they are opposite angles)Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4
n
Which expression has twice the value of 2-2.2-2.2?
Answer:
2^5
explanation:
I did this already man this is easy
I will give brainliest answer
Answer:
≈ 93.06 cm²
Step-by-step explanation:
Subtract the area of the rectangle from the area of the circle
area of circle = πr² = π × 8² = 64π cm²
area of rectangle = 12 × 8 = 108 cm²
Thus
shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )
Answer:
The area of the shaded region = area of the circle - area of the rectangle
area of circle = πr² = π × 8² = 201.14 cm²
area of rectangle = 12 × 2 = 24 cm²
shaded area = 201.14 - 24 ≈ 177.14 cm²
Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2
Answer:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Step-by-step explanation:
[tex]x+2y=-8 \\\\y=12x-2[/tex]
Substitute:
[tex]x+2(12x-2)=-8[/tex]
Expand:
[tex]x+24x-4=-8[/tex]
Simplify:
[tex]25x=-4[/tex]
Divide both sides by 25:
[tex]x=-\dfrac{4}{25}[/tex]
Plug this back into one of the original equations to find y:
[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]
The ordered pair that represents this solution is therefore:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Hope this helps!
this table shows values that represent an exponential function.what is the average rate of change for this function for the interval from x=1 to x=3
Answer: -4
Step-by-step explanation:
у – бх — 11
— 2x — Зу = -7
Answer: -2y -8x = 4
Step-by-step explanation:
y - 6x - 11 - 2x - 3y = -7
y -3y -6x -2x = -7 +11
-2y -8x = 4
If Tim Cook, CEO of Apple wants to make a list of the employees who are above 40, what process he will use? Option: 1.Data query 2.data sorting 3.data compiling
1) A microbiologist measures the length of a bacterium of 0.000163 m and the
length of yeast as 0.0087 mm.
a) Which is longest? (Hint: Both must be the same units)
b) How much longer is the longer specimen than the shorter specimen?
Answer:
a) The bacterium is longer;
b) The bacterium is 0.1543 mm longer than the yeast.
Step-by-step explanation:
In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.
[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]
a) The bacteria is longer than the yeast.
b) We need to subtract their length in order to find this answer:
[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]
Determine the quotient of (7.7x10^-2) divided by (2.2x10^-2
Answer:
3.5 is your answer.
Step-by-step explanation:
(7.7x10^-2) divided by (2.2x10^-2
Just *Divide*
Hope this helps.
: )
I NEED HELP QUICK! PLEASE
Answer:
(a, 0), (0, b), (-a, 0), (0, - b)
Step-by-step explanation:
Since, all vertices of the rhombus lie in the x and y axes.
x - axis is given by a and y - axis is given by b.
Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).
If a vendor sells an item he bought for Rs. 500 such that he earns a profit of 20%, determine the selling price of the item.
Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5,11)} D. {(4,5),(6,7),(8,9),(8,11)}
Answer:
the answer is A
Step-by-step explanation:
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
(40/3)*pi
Step-by-step explanation:
lets first find the area of the little circle
A=pi*r^2
A=pi*3^2
A=9pi
Now, lets find the area of the big circle
A=pi*r^2
A=pi*(3+4)^2
A=pi*7^2
A=49pi
now lets subtract the area of the little circle from the area of the big circle
49pi-9pi=40pi, now we found the area of the "bagel)
lets find what portion of the bagel is the shaded region
120/360=1/3
now lets multiply the bagel area by the fraction
40pi*(1/3)=
(40/3)*pi or (40*pi)/3
Area of the shaded regions is equal to 7π/3
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: radius of the smaller circle= 3 and larger circle =4 cm
Now A = (θ/360°) × πr2
θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.
Thus we have Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3
=16π/3 -3π
=7π/3
Hence, Area of the shaded regions is equal to 7π/3
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What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?
a = StartFraction 26 Over 11 EndFraction
a = 7
a = StartFraction 89 Over 11 EndFraction
a = 621
Answer:
a=7
Step-by-step explanation:
7(a – 10) = 13 – 2(2a + 3)
Open the bracket
7a-70=13-4a-6
Collect like terms
7a+4a=13-6+70
11a=77
divide both sides by 11
11a/11=77/11
a=77/11
a=7
Please I need help with this tooo.....will give 5 start and brainlist....
1. If u were to draw a tree diagram showing all the possible outcomes for rolling a six sided die twice, how many total outcomes would there be
1. 6
2. 12
3. 36
2. Rick is deciding what to wear to school. He has two different shirts, two different pants, and two different pairs of shoes to choose from. How many different outfit combinations does Rick have to choose from
1. 6
2. 8
3. 16
If b = the number of baseballs which algebraic expression represents the phrase below the number of baseballs minus 3 lost during practice
Answer: B
Explanation: Baseballs(b) minus 3 which is b-3
When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?
Step-by-step explanation:
so round up is b equal a plus 10....
Which point best approximates √3?
A
B
C
D
Answer:
B
Step-by-step explanation:
Square root of 3 is between 1 and 2
1^2 =1
(sqrt(3)) ^2 =3
2^2 = 4
So it must be point B
Answer:
B
Step-by-step explanation: