segment DF is dilated from the origin to create segment D prime F prime at D′ (0, 6) and F′ (4.5, 3). What scale factor was segment DF dilated by?
Answers
Answer: 1.5
Step-by-step explanation:
From the attached graph:
D = (0, 4)
F = (3, 2)
After segment DF was dilated from the origin to create segment D'F'
D' = (0, 6)
F' = (4.5, 3)
Scale factor is obtained by calculating the proportion of the coordinates of the two segments. That is ;
Scale factor = value on dilated coordinate / value on original coordinate
Taking the x-coordinate of F and F':
Scale factor = coordinate 'x' of F' / coordinate 'x' of F
Scale factor = 4.5 / 3 = 1.5
Similarly,
Taking the y-coordinate of F and F':
Scale factor = coordinate 'y' of F' / coordinate 'y' of F
Scale factor = 3 / 2 = 1.5
Answer:
D. 1.5
Step-by-step explanation:
Related Questions
Find the Y-Intercept
Find the Slope
Finally Make a equation with y=mx+b
Thanks, I will mark the best. Also please show your work.
Answers
Answer: (0.1) m= -4/3 y= -4/3*x+1
Step-by-step explanation:
Our equation is wriiten this way : y=mx+b where m is the slope and b a constant
let f be our function m = (f(6)-f(3))/6-3= (-7-(-3))/3 = -4/3so: y=-4/3x+bTo get b we need to replace y and x by the coordinates of a point :
(0.1) an easy one 1 = -4/3*0+b 1= b so: y= -4/3*x+1The intercepts with the y-axis are the images of 0
we can see from the table that f(0) = 1 so (0.1) is the intercept with the y-axis
Answer:
The slope is -4/3 and the equation is y=-4/3x+1
Step-by-step explanation:
The easiest way to solve these types of problems is to use Desmos. Look closely at the graph, there is a table on the left with the x and y chart list that automatically adds points onto the graph and the equation of the line. You have to determine the distance between 2 of those points. I counted from coordinate (-3,5) to (0,1) The length between those two points makes a fraction of -4/3. So -4 down and 3 across. That is how you find the slope. Then you make the equation. y=-4/3x+1
PLEASE ANSWER RN PLSSS Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? x2 + 8x – 308 = 0 x2 – 8x + 308 = 0 x2 + 8x + 308 = 0 x2 − 8x − 308 = 0
Answers
Answer:
The correct equation to solve for "x" is:
[tex]x^2+8x-308=0[/tex]
(first option in your list)
Step-by-step explanation:
Let's say that since the integers in question are separated on the number line, we can call them x, and y with for example y being the larger one (two the right of x on the number line). Since the two integers are 8 units apart, then we can write in mathematical form:
y - x = 8 (because y is the larger of the two numbers)
and solving for "y" we get:
y = x + 8
we also know that their product is 308, which we can write in the following form:
x * y = 308
Now, replacing y by "x + 8", we get:
[tex]x*y=308\\x\,(x+8)=308\\x^2+8x=308\\x^2+8x-308=0[/tex]
Therefore, the correct equation is the first one listed among your answer options.
Answer:
x2 + 8x – 308 = 0
Step-by-step explanation:
its A on edge
find the sum of these polynomials. (x^2 - 5x + 3) + (2x^2 - 3x - 7)
Answers
Answer:
[tex]3x^2 - 8x - 4[/tex]
Step-by-step explanation:
This is a short and simple question, but it's good!
We are given the expression [tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex], and simply being asked to combine like elements to simplify the expression. Take a look at the procedure below -
[tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex] - Remove ( ),
[tex]x^2-5x+3+2x^2-3x-7[/tex] - Add like elements,
[tex]3x^2-5x-3x+3-7,\\3x^2-8x+3-7,\\[/tex] - And further simplify to derive solution
[tex]Solution = 3x^2-8x-4[/tex]
Hope that helps!
State a simplified algebraic expression that has exactly 3 different variables, exactly 4 terms, and has a degree of 7. Each term must contain at least two variables.PLZ ANSWER ASAP
Answers
Answer:
[tex]x^7y^2+x^5z^3+y^3z^4+xyz[/tex]
Step-by-step explanation:
It is required that the algebraic expression has exactly 3 different variables
Let our variables be x, y and z.Since it must have a degree of 7, the highest power in the expression will be 7.
Therefore, an example of such an algebraic expression will be:
[tex]x^7y^2+x^5z^3+y^3z^4+xyz[/tex]
help me I need this answer asap pls :(
Answers
Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0
Answers
Answer:
x = 1/8 , - 1Step-by-step explanation:
8x² + 7x - 1 = 0
Rewrite 7x as a difference
That's
8x² + 8x - x - 1 = 0
Factorize
8x( x + 1) - ( x + 1) = 0
(8x - 1)( x + 1) = 0
8x - 1 = 0 x + 1 =0
8x = 1 x = - 1
x = 1/8
The solutions are
x = 1/8 , - 1Hope this helps you
I will give the most brainiest to whoever answers first
Answers
Answer:
201.06
Step-by-step explanation:
A=4πr2=4·π·42≈201.06193
A jar holds 80 fluids ounces of juice. The label says the jar has 10 servings. How many fluid ounces are needed for 80 servings?
Answers
Multiply both sides by 8:
8(80) ounces = 80 servings
640 ounces = 80 servings
Answer:
640 fl oz
Step-by-step explanation:
80 divided by 10 is 8. So each serving for a jar that hold 80 fl oz contains 8 fl oz.
So you would multioply 80 by 8 to find the amount of juice needed for 80 servings. 80*8= 640
An irrational number between 5/7 and 7/9 is?
Answers
Answer:
Step-by-step explanation:
-----------
5/7 can be written as 0.714285
-----
7/9 can be written as 0.777
∴ An irrational number between 5/7 and 7/9 is 0.72010010001.....
or u ca write other numbers also like
0.73010203.....
0.74090080007.....
Which of the following has 4 congruent sides? Mark all the correct
answers.
[mark all correct answers]
a. Square
b. Rectangle
C. Rhombus
d. Parallelogram
Answers
Answer:
A and C
Step-by-step explanation:
The shapes that have 4 congruent sides are squares and rhombi.
Una persona adeuda $15.000.000 que ya incluye intereses y debe pagarlos dentro de 8 meses. Si hace un pago de $3.000.000 dentro de 2 meses. ¿Cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual?
Answers
Answer:
$15,000,000
Step-by-step explanation:
Fórmula de intereses = P × R × T
P = $15,000,000
R = 30% anual = 0.3
T = 8 meses = 8/12 = 0.6667
Intereses = $15,000,000 × 0.3 × 0.6667
Intereses = $3,000,000
Después de 8 meses, el monto a pagar = $15,000,000.00+ $3,000,000
= $18,000,000
Si hace un pago de $3,000,000 dentro de 2 meses, cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual
= $18,000,000 - $3,000,000
= $15,000,000
Sigourney plays the cello. On 15% of her practice days, she practices all of her scales. If she practices everyday of 4 weeks how many days did she practice all her scales
Answers
Answer:
4.2 days
Step-by-step explanation:
Number of Weeks during which she practiced =4 weeks
Convert from weeks to days = 4 X 7=28 days
Since she practices all of her scales 15% of her practice days.
Number of Days that she practiced all her scales
=15% X 28
=0.15 X 28
=4.2 days
Which represents where f(x) = g(x)? A) f(4) = g(4) and f(0) = g(0) B) f(–4) = g(–4) and f(0) = g(0) C) f(–4) = g(–2) and f(4) = g(4) D) f(0) = g(–4) and f(4) = g(–2)
Answers
Answer:
B. f(-4) = g(-4), and f(0) = g(0)
Step-by-step explanation:
We are given two functions that have been graphed already. The points on the coordinate plane where the curve of g(x) intercepts that of f(x), are the values of x for each function, that would give us the same output (y).
Thus, for f(x) intercepts g(x) at the point where x = -4, y = 4.
Also, f(x) and g(x) intercepts at the point where x = 0, y = 4.
Therefore, the correct answer is f(-4) = g(-4), and f(0) = g(0)
Pls Help :) Will pick Brainliest
Answers
Answer:
Check the answer once....
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
The radicals should be negatives of each other
Step-by-step explanation:
When we get solutions that are radicals, they have to be in the form
a+ sqrt(b) and a- sqrt(b)
His answer is a + sqrt(b) and -a - sqrt(b)
Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 cm. The cylinder has a radius of 3.3 cm and a height of 10 cm. Determine which container uses less material to make and find out which container holds more soup.
Answers
Answer: Cylinder uses less material to make.
Box holds more soup then cylinder.
Step-by-step explanation:
Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height
Total surface area of cylinder = [tex]2\pi r(r+h)[/tex] where r= radius and h is height.
Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm
Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.
Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm
= 2(1209.65)
=2419.3 sq. cm
Total surface area of cylinder = [tex]2(3.14)(3.3)(3.3+10)[/tex][tex]=275.63\ \text{ sq. cm}[/tex]
[π=3.14]
(Total surface area of cylinder)<(Total surface area of box )
So, cylinder uses less material to make.
Volume of box = l x w x h
= (7.5)(4.7)(14.5) = 511.13 cubic cm
Volume of cylinder = [tex]\pi r^2h[/tex]
[tex]=(3.14)(3.3)^2(10)[/tex]
= 341.946 cubic cm
As (Volume of box) > (Volume of cylinder )
So, Box holds more soup then cylinder.
Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does she have?Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does she have?
Answers
Answer:
6
Step-by-step explanation:
Let's call the number of red cubes that Sam has r, and the number of yellow cubes that she has y.
Since the sum of the number of cubes is 20:
r+y=20
Since she has 8 more yellow cubes than red ones:
y=r+8
You can now plug this back into the first equation:
r+(r+8)=20
2r+8=20
2r=12
r=6
Therefore, Sam has 6 red cubes. Hope this helps!
Hope this helps!
Answer:
6 red cubes
Step-by-step explanation:
Let statements: let y be the number of yellow cubes, and let r be the number of red cubes.
r+y=20
r+8=y
r+(r+8)=20
2r+8=20
2r=12
r=6
Please help
Determine the dependence between the quantities for the given graph.
Package Delivery
Charges
Total Cost ($)
→X
Weight of the Package
(in pounds)
Answers
Answer:
The total cost depends on the weight of the pacakge
can some one help me in this please
Answers
Step-by-step explanation:
The least number is 11
N = 11
99 x n = 99 x 11 = 1089
Which is a perfect square
DICIÓN DE POLINOMIOS. Sumar los polinomios. (4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3) SUSTRACCIÓN DE POLINOMIOS. Restar los polinomios. (4x + 9) - (5x – 8)=-x+17 (x2 – 4x + 7) - (2x2 + 6x – 8)=-20x2-13x-72 (5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)20x2 +32x-45x-72 (7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10) (4x2+9)-(5x-8) VI. PRODUCTO DE POLINOMIOS. Multiplicar los polinomios. 5x(x – 4)
Answers
Answer:
1) 10x⁵+38x⁴-23x³-101x²- 96x+50
-x+17
(7x²-x-29)=0
3x³ -13x²-4x + 67=0
3x³ -6x²-11x+19
5x²- 20x
Step-by-step explanation:
Spanish
Agregar los polinomios:
(4x + 9) + (5x - 8) (x2 - 4x + 7) + (2x2 + 6x - 8) (5x3 + 4x2 - 7x -8) + (2x3 - 3x2 + 4x - 3)
Primero multiplicaremos los polinomios con los corchetes
= 4x + 9 + (5x³- 20x² + 35x - 16x² + 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x² + 30x⁴ + 24x³- 42x²- 48x- 40x³- 32x²- 56x + 64) + (2x³- 42x² + 4x -3)
Ahora simplificaremos dentro de los corchetes agregando primero los términos similares
= 4x + 9 + (5x³- 36x² + 67x-56) + (10x⁵ + 38x⁴- 30x³- 90x²-104x + 64) + (2x³- 42x² + 4x-3)
Ahora suma o resta todos los términos similares y distintos
= 10x⁵ + 38x⁴- 30x³ + 5x³ + 2x³- 90x²- 36x²- 42x² + 67x²-104x + 4x + 4x + 64 + 9-3
= 10x⁵ + 38x⁴-23x³-101x²- 96x + 50 Ans
Restando los polinomios
(4x + 9) - (5x - 8) = - x + 17
-5x +8 + 4x + 9 = -x + 17
-x + 17 = -x + 17
(x2 - 4x + 7) - (2x2 + 6x - 8) = -20x2-13x-72
x²-2x²-4x-6x + 7 + 8 = 20x2-13x-72
-x²-10x + 15-20x² + 13x + 72 = 0
-21x² + 3x + 87 = 0
-3 (7x²-x-29) = 0
(7x²-x-29) = 0
(5x3 + 4x2 - 7x -8) - (2x3 - 3x2 + 4x - 3) = 20x2 + 32x-45x-72
5x³-2x³ + 4x² + 3x²-7x-4x-8 + 3 = 20x2 -7x-72
3x³ + 7x²-11x-5-20x² + 7x + 72 = 0
3x³ -13x²-4x + 67 = 0
(7x3 - 10x2 - 11x + 9) - (4x3 - 4x2 - 10)
Los signos negativos cambian cuando restamos
= 3x³ -6x²-11x + 19
Ahora multiplicando
5x (x-4) = 5x²- 20x
English
Adding the polynomials :
(4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3)
First we will multiply the polynomials with the brackets
= 4x+9 + ( 5x³- 20x²+ 35x - 16x²+ 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x²+30x⁴+ 24x³- 42x²- 48x- 40x³- 32x²- 56x+ 64) + ( 2x³- 42x²+ 4x-3)
Now we will simplify within the brackets first adding the like terms
= 4x+9 + (5x³- 36x²+67x-56) + (10x⁵ +38x⁴- 30x³- 90x²-104x+64) + ( 2x³- 42x²+ 4x-3)
Now add or subtract all the like and unlike terms
= 10x⁵+38x⁴- 30x³+5x³+2x³- 90x²- 36x²- 42x²+67x²-104x+4x+4x+64+9-3
= 10x⁵+38x⁴-23x³-101x²- 96x+50 Ans
Subtracting the Polynomials
(4x + 9) - (5x – 8)=-x+17
-5x +8 +4x+9 = -x+17
-x+17=-x+17
(x2 – 4x + 7) - (2x2 + 6x – 8)= -20x2-13x-72
x²-2x²-4x-6x+7+8=20x2-13x-72
-x²-10x+ 15-20x²+13x+72=0
-21x²+3x+87=0
-3(7x²-x-29)=0
(7x²-x-29)=0
(5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)= 20x2 +32x-45x-72
5x³-2x³+4x²+3x²-7x-4x-8+3= 20x2 -7x-72
3x³+7x²-11x-5-20x²+7x+72=0
3x³ -13x²-4x + 67=0
(7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10)
The negative signs are changed when we subtract
= 3x³ -6x²-11x+19
Now Multiplying
5x(x-4) = 5x²- 20x
how to do this question plz
Answers
Answer:
86.6 feet (3 s.f.)
Step-by-step explanation:
Please see attached picture.
tan60°= height of tower/ 50
Height of tower
= 50tan60°
= 50√3
= 86.6 ft (3 s.f.)
tanѲ= opp/ adj
Mr. Wilson opened a bakery and a juice bar in his neighborhood. The functions below represent the profit, in dollars, earned from the bakery and the juice bar after t months. Which function best describes P(t), the total profit earned from the bakery and the juice bar after t months? A. B. C. D.
Answers
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete, because the function for the profit is not given but I can show you how to calculate this.
Since Mr. Wilson has a bakery and a juice bar, his total profit earned in t months would be the sum of profit from the bakery with the profit from the juice bar within t months.
Let us assume that the profit from the bakery in t months is given by:
B(t) = 2t³
while the profit from the juice bar in t months is given by:
J(t) = [tex]2.3^t-2[/tex]
Therefore the total profit is given by:
P(t) = B(t) - J(t) = [tex]2t^3+2.3^t-2[/tex]
Consider the graph shown. What is the slope-intercept form of the equation of the line?
Answers
Answer:
y = 2/3*x+2
Step-by-step explanation: let f be our function
The slope m :
m = [f(3)-f(0)]/3-0 = (4-2)/3 = 2/3 so : y= 2/3*x + b b is the intercept with the y-axis wich is 2 so : y = 2/3*x+2Answer:
y = 2/3*x+2
Step-by-step explanation:
Because it is the "Correct Answer"
The price of a car was decreased by 10% to £729. What was the price before the decrease?
Answers
Answer:
810
Step-by-step explanation:
The original price of the car = 100%.
Price is decreased by 10%- price now equal 90% of original.
Let original price = x
.9x=729
x=810
Check:
810 - .1(810) = 729
True!
729 + 10%=801.90
is the answer
Examine the diagram and information to answer the question. Rectangle EFGH has vertices at E(7,7), F(1,5), G(2,2), and H(8,4). How many units is the perimeter of rectangle EFGH?
Answers
Answer:
Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)
Step-by-step explanation:
First we find the distance of the length and width of the rectangle.
Distance between E and F = Distance EF
Distance EF = √(∆y²-∆x²)
= √[(5-7)² + (1-7)²] = √[(-2)² + (-6)²]
= √(4+36) = √40
Distance EF = 2√10
Distance between F and G = Distance FG
Distance FG = √(∆y²-∆x²)
= √[(2-5)² + (2-1)²] = √[(-3)² + (1)²]
= √(9+1) = √10
Distance FG = √10
Length= distance EF = distance HG
And width = distance FG = distance EH
Perimeter of rectangle = 2(length + width)
Perimeter of rectangle = 2(2√10 + √10)
= 2(3√10)
Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)
Please Help!! And Fast!! Will give Brainliest to the Best Answers (75 points) --- The historical society hired an artist to restore a stained glass window panel. After studying the original drawings, the artist knows that panel ABCD is square. He also knows that FG is a perpendicular bisector of BC and BC ≅ BE. However, in order to restore the panel to match its original specifications, he needs to know the measure of ∠BED. Given: ABCD is a square FG ⊥ BC BC ≅ BE Step 1: Draw EC on the diagram. Use the given information to explain how you know △EGC ≅ △EGB. Add the appropriate notation to the diagram. (5 points) Step 2: Building on the information from Step 1, use the spaces below to prove that m∠BEC = 60°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Statements Reasons 1. △EGC ≅ △EGB 1. Given 2. EB ≅ EC 3. Given 4. EB ≅ EC ≅ BC 5. m∠BEC = 60° Step 3: Next, use the spaces below to prove the measure of ∠ECD = 30°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° Prove: m∠ECD = 30° Statements Reasons 1. △BEC is equilateral 2. m∠GCE = 60° 3. ABCD is a square 4. Substitution Step 4: Find m∠BED. Show your work and explain your reasoning. Add the appropriate notation to the diagram. (6 points; 4 points for showing work and explaining reasoning; 1 point for final answer; 1 point for diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° △ECD is isosceles Find: m∠BED
Answers
Answer:
see the first attachment for the diagramsee the second attachmentsee the third attachmentm∠BED = 135°Step-by-step explanation:
1. We have added marks to the diagram indicating that FG is a perpendicular bisector of BC. These hash marks and angle indicator are shown in the first attachment.
__
2. The proof that ∆BCE is equilateral, so all its angles are 60°, is shown in the second attachment.
__
3. The proof that m∠ECD = 30° is shown in the second attachment.
__
4. We know △ECD is isosceles because CE ≅ CD. Since the angle at C is 30°, the base angles at D and E are (180° -30°)/2 = 75°.
The angle of interest, ∠BED, is the sum of angles DEC (75°) and CDB (60°). Hence, ...
m∠BED = 75° +60° = 135°
m∠BED = 135°
Please answer it now in two minutes
Answers
Answer:
44
Step-by-step explanation:
Tan v=opp/adj 18s/19s=0.947
v=44 degrees (approximately)
angle T=180 - (90+44)
angle T= 46
The arch of a bridge form a parabola. The arch is 72m wide and its maximum height is 27m above its base. determine an equation to model this parabola. Explain your strategy
Answers
Answer:
Step-by-step explanation:
If the parabola is 72 m wide, then if we were to plot this parabola on a piece of (very large, lol) graph paper, we could plot one point at (72, 0) and the other one at (0, 0) since that would ensure that the arch is 72 m wide (72 - 0 = 72). The thing to remember now is that the vertex is exactly halfway between those 2 points with regards to the x-intercepts. In other words, if the width of the arch is 72 meters and the x values run from 0 to 72, then the x coordinate (or h, actually) of the vertex is 36 since 36 is halfway between 0 and 72 on the x-axis. Since the vertex goes up to 27 m, the k coordinate of the vertex is 27.
So here's what we have:
Coordinate points: (0, 0) and (72, 0)
Vertex: (36, 27)
We will use one of those coordinates along with the vertex in
[tex]y=a(x-h)^2+k[/tex] and solve for a. Pro tip: since this is an upside down parabola, a better be negative when we solve for it!
Filling in x, y, h, and k:
[tex]0=a(72-36)^2+27[/tex] and
[tex]o=a(36)^2+27[/tex] and
[tex]0=1296a+27[/tex] and
[tex]-27=1296a[/tex] so
[tex]a=-\frac{27}{1296}[/tex] which simplifies to
[tex]a=-\frac{1}{48}[/tex]
Writing the equation now looks like this:
[tex]y=-\frac{1}{48}(x-36)^2+27[/tex]
Not sure what form you need that expressed in, but that's the vertex form so it should work, considering you were given a vertex to work with.
LINEAR EQUATIONS HELP ASAP
Answers
Answer:
-1/5
Step-by-step explanation:
(10 ,9) .....(40 , 3)
(9-3)/(10-40)=6/-30=-1/5
Answer: C) -1/5
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_{1} -y_2}{x_{1} -x_2}[/tex]. Thus, the slope of the line is
6/-30, or -6/30, or -1/5
Complete this bank statement. Find the values of a , b, c and d.
Answers
Answer:
A. $680.00
B. $35.00
C. $1401.34
D. $80.00