Answer:
12 (18+x)
Step-by-step explanation:
please answer these questions
Use quadrilateral ABCD with A(1, 5), B(2, 6), C(3, 3) and D(1, 3) and its transformation A'B'C'D' with A'(-3, 1), B'(0, 4), C'(3, -5) and D'(-3, -5). What is the scale factor of the transformation
Answer:
The scale factor that transforms quadrilateral ABCD to quadrilateral A'B'C'D' is 3
Step-by-step explanation:
Quadrilateral ABCD has the following coordinates
A(1, 5), B(2, 6), C(3, 3) and D(1, 3)
The image A'B'C'D' has the following coordinates;
A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)
The length of segment [tex]\overline {AB}[/tex] = √((2 - 1)² + (6 - 5)²) = √2
The length of segment [tex]\overline {BC}[/tex] = √((3 - 6)² + (3 - 2)²) = √10
The length of segment [tex]\overline {CD}[/tex] = √((1 - 3)² + (3 - 3)²) = 2
The length of segment [tex]\overline {DA}[/tex] = √((1 - 1)² + (3 - 5)²) = 2
For quadrilateral, we have;
A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)
The length of segment [tex]\overline {A'B'}[/tex] = √(0 - (-3))² + (4 - 1)²) = 3·√2
The length of segment [tex]\overline {B'C'}[/tex] = √((3 - 0)² + (-5 - 4)²) = 3·√10
The length of segment [tex]\overline {C'D'}[/tex] = √((-3) - 3)² + (-5 - (-5))²) = 6
The length of segment [tex]\overline {D'A'}[/tex] = √((-3) - (-3))² + ((-5) - 1)²) = 6
The scale factor that transforms quadrilateral ABCD to A'B'C'D' is given as follows;
[tex]The \, scale \, factor \, of \, transformation = \dfrac{\overline {A'B'}}{\overline {AB}} = \dfrac{\overline {B'C'}}{\overline {BC}} = \dfrac{\overline {C'D'}}{\overline {CD}} = \dfrac{\overline {D'A'}}{\overline {DA}} = 3[/tex]
Therefore, the scale factor that transforms quadrilateral ABCD to A'B'C'D' = 3
whats the line in fully simplified slope form pls help me.
Answer:
y = -5/6x - 7
Step-by-step explanation:
A circle has a circumference of 1,133.54 units.What is the diameter of the circle?
Answer:
361 units
Step-by-step explanation:
***PLEASE HELP ME WITH THIS I AM BEHIND*** I WOULD BE HAPPy
Which of the following values make the inequality x≤16.3 true?
Select all that apply. pick that all work more than one answer 17 points
. 18.5
. 8
. 16.3
. 14
. −3
. 32
Answer:
16.3, 14, 8, -3
Step-by-step explanation:
Any number less than 16.3 and 16.3 are acceptable answers
Please help! (i'll give the best answer brainliest)
Answer:
I think False umm...
i'm so so sorry if im rong
Step-by-step explanation:
. Marco has $100 in a savings account. He
puts in an additional $15 per week. Write an
equation to represent the total amount in
Marco's account after each week. Identify
your variables.
HERES JOHNYYYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
HELP!! please, quick!
Answer:
The answer is B
Step-by-step explanation:
To rotate a figure 90 degrees clockwise the figure needs to be moved from (x,y) to (y,-x)
The original figure lies at A (5,5) B (5,1) C (2,1) D (1,5)
Rotating the figure 90 degrees clockwise would be A' (5-,5), B' (1,-5), C' (1,-2), D' (5-1)
According to the property a/b = a/b which choice is equivalent to the quotient below? 30/5
Answer:
Answer is
Step-by-step explanation:
D
Lala!smzl!smzkaka
Please solve this FAST!
Answer:
1 hour = 7.50
5 hours = 37.50
9 hours = 67.50
answer is7.50 per hour.
97.50 = 13 hours
Step-by-step explanation:
like this
[tex] \frac{22.50}{3} [/tex]
or
[tex] \frac{52.50}{7} [/tex]
= 7.50/1 hour
hope it helps you ☺️
Answer:
1. 7.50
5. 37.50
9. 67.50
Unit rate- 15$ an hour.
She worked 11 hours.
Hope these answers are right and hope they help.
A bag contains pennies, nickels, dimes and quarters. There are 50 coins in all. Of the coins 16% are pennies and 42% are dimes. There are 5 more nickels then pennies. How much does the bag contain
Answer: 21 Nickels
21 dimes
8 pennies
Step-by-step explanation:
9 strings of lights for $52.65 .how much does one string of lights cost ?
Answer:$5.85
Step-by-step explanation: you divide 52.65 divided by 9 and it will equal $5.85
Answer:
$5.85. Hope this helped! :')
Step-by-step explanation:
1. Use the algorithm method.
5 . 8 5
9 | 5 2 . 6 5
4 5 .
7 . 6
7 . 2
4 5
4 5
2. Therefore, 52.62 divided by 9=5.85
5.85
Michelle and Rhonda eat dinner at
la fancy restaurant, Their bill came to
$105.36. They gave their waiter a tip that
was 22% of the bill. About how much
money did they give the waiter for his tip.
Answer:
$22.17
Step-by-step explanation:
105.36 multiplyed by 0.22 ( you need to change the 22% to a decimal so just make it 0.22) then once you multiplyed them then you get your answer.
The recipe calls for 2 cups of flour for every cup of sugar.
What is the ratio of sugar to flour?
Given the set of ordered pairs: {(1,3), (2,7), (x,5), (6,4)}.
What is a value for x that would NOT make the set a function? Explain why.
Answer:
2
Step-by-step explanation:
2 is a value of x that would not make the set a function because a function can't have multiple coordinates wit hthe same domain (x-coordinate). 2 is a domain that has already been used in the point (2,7). If this is used in (x,5), the point would become (2,5) and repeat a domain.
Note:
The x-coordinate could also be 1 or 6 because they have been used as domains as well.
Hope it helps!
Calculate x
I ll mark you as the brainliest
Answer
x = 18 cm
Step-by-step explanation:
Here, we want to calculate the value of x
let half of x = b
so b is the base of each right-triangle
As we can see, the triangle is isosceles
we can calculate the length of the base of one of the smaller right angled triangle and multiply by 2 to get the full x length
According to Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides
15^2 = 12^2 + b^2
225 = 144 + b^2
b^2 = 225-144
b^2 = 81
b = √81
b = 9
but x = 2b
x = 2(9)
x = 18 cm
One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p
Answer:
[tex]c^2 = 9dp[/tex]
Step-by-step explanation:
Given
[tex]dx^2 + cx + p = 0[/tex]
Let the roots be [tex]\alpha[/tex] and [tex]\beta[/tex]
So:
[tex]\alpha = 2\beta[/tex]
Required
Determine the relationship between d, c and p
[tex]dx^2 + cx + p = 0[/tex]
Divide through by d
[tex]\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0[/tex]
[tex]x^2 + \frac{c}{d}x + \frac{p}{d} = 0[/tex]
A quadratic equation has the form:
[tex]x^2 - (\alpha + \beta)x + \alpha \beta = 0[/tex]
So:
[tex]x^2 - (2\beta+ \beta)x + \beta*\beta = 0[/tex]
[tex]x^2 - (3\beta)x + \beta^2 = 0[/tex]
So, we have:
[tex]\frac{c}{d} = -3\beta[/tex] -- (1)
and
[tex]\frac{p}{d} = \beta^2[/tex] -- (2)
Make [tex]\beta[/tex] the subject in (1)
[tex]\frac{c}{d} = -3\beta[/tex]
[tex]\beta = -\frac{c}{3d}[/tex]
Substitute [tex]\beta = -\frac{c}{3d}[/tex] in (2)
[tex]\frac{p}{d} = (-\frac{c}{3d})^2[/tex]
[tex]\frac{p}{d} = \frac{c^2}{9d^2}[/tex]
Multiply both sides by d
[tex]d * \frac{p}{d} = \frac{c^2}{9d^2}*d[/tex]
[tex]p = \frac{c^2}{9d}[/tex]
Cross Multiply
[tex]9dp = c^2[/tex]
or
[tex]c^2 = 9dp[/tex]
Hence, the relationship between d, c and p is: [tex]c^2 = 9dp[/tex]
factor: p2−6−q(p2−6)2
Answer:
(p2−6)(1−2q)
Step-by-step explanation:
hope this helped <3
What is the slope the line?
Answer:
the slope is 3/4x
Step-by-step explanation:
if you need it in slope intercept form too its y=3/4x-1
cubic feet= 1 cubic yard
Answer:
(1 yard) 3 = 1 3 yard*yard*yard = 1 yard*yard*yard = 1 cubic yard. Since 1 yard = 3 feet, we have.
1 cubic yard = (1 yard) 3 = (3 feet) 3 = 33 feet*feet*feet = 27 cubic feet.
Step-by-step explanation:
Is that right? Help, please
Answer:
The answer is GV and VD
Step-by-step explanation:
Those are the answers because of the points on the line. Please pick me as brainliest!! :)
CAN SOMEONE PLEASE HELP, ILL GIVE BRAINLIEST.
Answer:
x = 3.5
Step-by-step explanation:
3.5 x 3 is 10.5. Triangle two has been expanded each side by 1.5. So multiply 7 (the side with 3x on the other triangle) x 1.5 to get 10.5. To fid x divide 10.5 by 3. This gives you 3.5 as x.
Hope it helps!
Answer:
x = 3.5
Step-by-step explanation:
What we know that the scale factor is 1.5 going from DEF to XYZ (4.5/3 = 1.5; 7.5/5 = 1.5)
So, multiply 7 by 1.5 to get ZX's length. It would be 10.5 units long.
We now know the equation, which is 3x = 10.5
3x = 10.5
Cancel out the multiplication by dividing both sides by 3
x = 10.5/3
Divide 10.5 by 3 to get 3.5
x = 3.5 in this case.
42/48 simplify and trlurn to decimal
please help me with this i need is rn thank you so much
Answer:
18
Step-by-step explanation:
C = 2πr
r = 3
2π(3) = 18.85
which point on this number line best represents square route of 10
(tap the whole photo the see the equation)
Answer:
the answer is B
Step-by-step explanation:
since 10 isn't a perfect square
Given the equation: y = -3x + 5
Which of the following equations would create a system of equations with INFINITE SOLUTIONS?
A) y = 1/3x - 5
B) y = 5 + -3x
C) y = 3 + 5x
D) y = 5x +3
Answer:
B
Step-by-step explanation:
They both are the same equation with the same slope and y intercept which means that they are the same line, thus concluding that they will have infinite points of intersection.
(3x-4)(x+5)= I need help with this fast
Answer:
3x^2+11x-20
Step-by-step explanation:
step 1 3x(x+5)-4(x+5)
step 2 3x(x+5)-4(x+5)= 3x^2+15-4(x+5)
step 3 3x^2+15x-4x+20
Find the Volume of a hemisphere that has a radius of 8 centimeters. Round to the nearest tenth
Answer:1072.3
Step by step:
use the hemisphere formula which is 2/3*pie*r^3
substitute 8 centimeters into the equation.
The Volume of a hemisphere is,
⇒ Volume of hemisphere = 1071.78 cm³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of hemisphere = 8 centimeters
We know that;
Volume of hemisphere = 2/3 (πr³)
Hence, We get;
⇒ Volume of hemisphere = 2/3 × 3.14 × 8³
⇒ Volume of hemisphere = 1071.78 cm³
Thus, The Volume of a hemisphere is,
⇒ Volume of hemisphere = 1071.78 cm³
Learn more about the multiplication visit:
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How many pounds of $1.75/lb trail mix should a grocer combine with 3 lb of $3.75/lb trail mix to get $2.95/lb trail mix? I WILL GIVE BRAINLIEST. PLLLLS!!!
Answer:
1.847
Step-by-step explanation:
divide 2.45 and 1.75 dats ur ans
The grocer should combine 2 pounds of $1.75/lb trail mix with 3 pounds of $3.75/lb trail mix to get 5 pounds of $2.95/lb trail mix.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Let's assume that the grocer needs to combine x pounds of $1.75/lb trail mix to the 3 lb of $3.75/lb trail mix.
To find out how many pounds of $1.75/lb trail mix are needed, we can use the following equation:
$1.75x + $3.75(3) = $2.95(x + 3)
Simplifying the equation, we get:
$1.75x + $11.25 = $2.95x + $8.85
Subtracting $1.75x from both sides, we get:
$11.25 = $1.20x + $8.85
Subtracting $8.85 from both sides, we get:
$2.40 = $1.20x
Dividing both sides by $1.20, we get:
x = 2
Therefore, the grocer should combine 2 pounds of $1.75/lb trail mix with 3 pounds of $3.75/lb trail mix to get 5 pounds of $2.95/lb trail mix.
To know more about an expression follow
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