The coordinates of B’ in the dilated image are B' (-16, -4).
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size (dimensions) of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 2 that is centered at the origin as follows:
Ordered pair A (0, 6) → Ordered pair A' (0 × 2, 6 × 2) = Ordered pair A' (0, 12).
Ordered pair B (-8, -2) → Ordered pair B' (-8 × 2, -2 × 2) = Ordered pair B' (-16, -4).
Ordered pair C (8, -2) → Ordered pair C' (8 × 2, -2 × 2) = Ordered pair C' (16, -4).
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Complete Question:
Triangle ABC has vertices A(0,6), B(-8,-2), and C(8,-2). A dilation with a scale factor of 2 and center at the origin is applied to this triangle
What are the coordinates of B’ in the dilated image?
a straight line has equation 4y-5x=2 work out the gradient of this line
Answer:
gradient = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
4y - 5x = 2 ( add 5x to both sides )
4y = 5x + 2 ( divide the terms by 4 )
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form
with gradient m = [tex]\frac{5}{4}[/tex]
Ifj. 1. what is the value of i
Answer:
i
Step-by-step explanation:
The square root of a negative number is identified as an imaginary number (i )
An imaginary number (i) with exponent 3 or any other exponent remains an imaginary number.
The answer is:
i
can someone help please lol
Answer:
1. (an closed circle) on the negative 2 mark, then shade everything on the right. (Meaning anything greater than -2, such as -1, 0, 1, 2)
2. (an open circle) on the positive 3 mark, then shade everything right. (Meaning anything greater than 3, such as 4, 5, 6)
need help please
to find X
Answer:
[tex] \boxed{x = 86 \degree}[/tex]
A game and a controller are on sale for 45% off. The regular price of the game is $80. The regular price of the controller is $120. What is the sale price for the game
John drew a scale drawing of a house and its lot. The house's driveway is 4 inches wide in the
drawing. The actual driveway is 20 feet wide. What scale did John use?
Answer:
John used the metric scale.
Step-by-step explanation:
Answer:
Step-by-step explanation:
20ft=(20)12=240in
4/240=1/60
Work out the sum of 1/6 , 4/5 and 2/3 Give your answer as a mixed number in simplest form.
Answer:
1 29/30
Step-by-step explanation:
First find the least common denominator of 1/6, 4/5, and 2/3. The least common denominator of that list is: 30.
So let's convert all of these fractions to a denominator of 30.
Here are the newly converted fractions:
5/30, 24/30, 20/30.
So now add all of them together. 5/30+24/30+20/30=(5+24+20)/30, which is equal to: 49/30 = 1 19/30.
Mr. Hepworth bought a new refrigerator for $975 after a 25% discount, how much did the refrigerator cost originally?
Answer:
954
Step-by-step explanation:
Answer:
1218.75
Step-by-step explanation:
25% of $975 = 243.75
Discounted price + Discount = Original Price
$975 + 243.75 = 1218.75
How many solutions does -7+5x=5x+9
Answer:
There are no solutions. This question is impossible.
Step-by-step explanation:
Yoko's fish tank has 18 liters of water in it. She plans to add 5 liters per minute until the tank has more than 48 liters. What are the possible numbers of minutes Yoko could add water?
Answer:
7 minutes, 8 minutes, 9 minutes, or more
Really any minute more than 6 should do.
Step-by-step explanation:
48 - 18 = 30
30 ÷ 5 = 6
It says the tank should have more than 48 liters, so the answer should be more than 6 minutes.
Your friend's house is 6 miles south and 14.4 miles east of the bank. How far is your friend's house from the bank?
Answer: 15.6 miles
Step-by-step explanation:
If you draw it out it makes a triangle which you can then use the pythagorean theorem to find the actual distance between the house and the bank. Your equation should be sqroot of 6^2+14.4^2 which equals 15.6 miles. Hope this helps. :)
9. IS it possible to prove these triangles congruent by the HL Theorem?
Answer:
Yes, It is possible
Step-by-step explanation:
What is the answer to this ? I totally forgot how to this kind of math 5/7 x 1/2
Answer:
5/14
Step-by-step explanation:
Answer:
5/14 or 0.357
Step-by-step explanation:
just multiply across (5x1 and 7x2 --> 5/14)
PLS HELP!! BRAINLIEST!!
Answer:
Look below :)
Step-by-step explanation:
To find the relative frequencies, divide each frequency by the total number of students in the sample–in this case, 4 + 6 + 4 + 3 + 3. Which gives us 20. So for A grade, 4/20 people got it, which is 20%. We do that for the rest of them:
B = 6/20 = 30%
C = 4/20 = 20%
D = 3/20 = 15%
E = 3/20 = 15%
Now for the second question, the most is 30%, so most students got B. I hope this helps and please makr brainliest! <3
Jesse wants to have $ 500,000 in his IRA when he retires in 40 years. He is able to invest in an IRA that will yield 2 % compounded monthly. How much will Jesse need to invest into his IRA each month to reach his goal?
P=B(r/n)/(1+r/n)^nt-1
A. $ 374.69
B. $ 436.72
C. $ 556.69
D. $ 680.79
Answer:
Your answer is D.
Step-by-step explanation:
105 students in 3 Classes
Answer:
35
Step-by-step explanation:
just divide em
Encierra todo los números que sean menores para 25,000 003
Which postulate or theorem proves that triangle JHG and
triangle EFG are congruent?
•HL Congruence Theorem
• ASA Congruence Postulate
•SAS Congruence Postulate
• AAS Congruence Theorem
Answer:
The answer is AS A Congruence Postulate.
Step-by-step explanation:
please help and show work
To prove that the triangle is scalene, calculate all the lengths of the sides.
The formula for a line like this is basically pythagorean theorem, which is
[tex]p = \sqrt{ {(y2 - y1)}^{2} + {( x2 - x1})^{2} } [/tex]
(x1, y1) and (x2, y2) are the respective vertexes.
3x + 80 = 12x - 1
what’s the value of x ?
Answer:
9
Step-by-step explanation:
3x+80=12x-1
80=12x-3x-1
80=9x-1
9x=80+1
9x=81
x=81/9
x=9
Smart people answer please
Answer:
what the other guy said
Step-by-step explanation:
lol
how do you simplify 1/5 x 22
Answer:
The person above is correct
Step-by-step explanation:
Answer: 4 2/5
Step-by-step explanation:
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.
Answer:
third angle =180-two congruent angles. is expression.
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost? _____
Answer:
$20
Step-by-step explanation:
25-5=20 that is your answer
Answer:
15 dollars
Step-by-step explanation:
WILL GIVE BRAINLIEST ASAP!!
1. Determine the area and perimeter of the quadrilaterals below.
Part A:
Part B:
Part C:
(see picture)
Answer: A) 1888 B) 664.225 C)?
Step-by-step explanation:
A= 42+76(1/2) = 59
59(32)=1888
A=163/10(163/4)=664.225
I need help with this problem Try not to answer this try to give me steps
Answer:
Step-by-step explanation:
80 inches = 6 feet and 8 inches
Q5) 60% of a number is 54. What is 50 % of the same?
Answer:
45
Step-by-step explanation:
we multiply 50 by 54 and divide 60 my the number you get after multiplying
so 50*54/60 that is 45
5 Which equation is equivalent to
3(2 x – 5) = 4( x + 3)?
A 2x= -27
B 2 x= 27
C 10 x=-27
D 10 x=-3
Answer:
I think its B
Step-by-step explanation:
Let's solve your equation step-by-step.
3(2x−5)=4(x+3)
Step 1: Simplify both sides of the equation.
3(2x−5)=4(x+3)
(3)(2x)+(3)(−5)=(4)(x)+(4)(3)(Distribute)
6x+−15=4x+12
6x−15=4x+12
Step 2: Subtract 4x from both sides.
6x−15−4x=4x+12−4x
2x−15=12
Step 3: Add 15 to both sides.
2x−15+15=12+15
2x=27
Step 4: Divide both sides by 2.
The equation is equivalent to given equation is 2x=27. Therefore, option B is the correct answer.
What is an equivalent equation?Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.
The given equation is 3(2x-5)=4(x+3).
Now, 6x-15=4x+12
6x-4x=12+15
2x=27
The equation is equivalent to given equation is 2x=27. Therefore, option B is the correct answer.
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Simplify the followimg
(1 1/2) ^-2 step by step explanations plzzzzzzzz
Answer:
4/9
Step-by-step explanation:
sorry if wrong i don't know how to explain it also
Answer:
Convert 1 1/2 to an improper fraction.
3/2⋅2
Cancel the common factor of 2.
3
in
After seling 15 lemonades. Jessicamade $5. After seling 42 lemonades, she
made $18.50. Write and solve an equation to find how much Jessica spent
on supples.
Answer:Let x be the number of full cup sold Let y be the number of half cup sold Whether the cup was full or not, they used 37 cups. Therefore, x + y = 37 How much money did they make selling half cup lemonade? They made y × 0.25 How much money did they make selling full cup lemonade? They made x × 0.50 Money made selling full cup + money made selling half cup = 15 x × 0.50 + y × 0.25 = 17 You end up with a system of linear equation to solved x + y = 37 x × 0.50 + y × 0.25 = 17 x + y = 37 equation 1 0.50x + 0.25y = 17 equation 2 Solve for y in equation 1 x + y = 37 x - x + y = 37 - x y = 37 - x Replace y in equation 2 0.50x + 0.25 (37 - x) = 17 0.50x + 0.25 × 37 - 0.25x = 17 0.50x + 9.25 - 0.25x = 17 0.25x + 9.25 = 17 0.25x + 9.25 - 9.25 = 17 - 9.25 0.25x = 17 - 9.25 0.25x = 7.75 Divide both sides by 0.25 0.25x/0.25 = 7.75/0.25 x = 31 y = 37 - x = 37 - 31 = 6 Sasha and Francisco sold 31 full cup and 6 half cup of lemonade It seems like people love their lemonade
Step-by-step explanation:
hoped this helpedddd