Answer:
BC= 2√5
CD= 2√10
DE= 2√5
BE= 2√10
slope of BC = 2
slope of CD = 1/3
slope of DE = 2
slope of BE = 1/3
Step-by-step explanation:
formula for distance = √(x2-x1)²+(y2-y1)²
formula for slope = (y2-y1)/(x2-x1)
An athlete consumed 4,000 calories yesterday. Today, she consumed 3,800 calories. What is the percent change in number of calories consumed. Was this a percent increase or decrease? Round to the nearest percent.
[tex]x^{2} -x-6[/tex]
Answer:
1. (x-3)(x+2)
2. (x-5)(x-3)
3. x= 2,1
4. x= -2,-4
5. x= 3,-7
6. x= 1,-8
7. x= 5,-7
8. x= -1/3,-2
Step-by-step explanation:
Is the number 0.1875 rational or irrational
If the number of hours you hours you work is proportional to the amount of money you earn per hour, which og tye following statements is true?
Answer:
it should be a
Step-by-step explanation:
if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money
4. Katy sells new video games at a gaming store. Katy gets a bonus if she sells more than 60 video games. If 8 people each buy 7 video games, how many more video games does Katy need to sell to get her bonus? Show your work
What is the area? Please help
Answer:
24 hhbhbbb;bbbbhhhjjjjdjdhdbdbbdbdhd
Answer: 61
Area of Square = [tex]7^{2}[/tex]
7 x 7 = 49
Area of Triangle = 1/2 (4) (3)
1/2 (4) (3) = 6
49 + 6 + 6 = 61
Solve the equation. You may find using algebra tiles to be helpful.
2x + 7 = 13
x =
Answer:
x= 3
Step-by-step explanation:
Move all the terms that do not contain x to the right side and solve.
Hope this helped!
⭐ Please consider giving Brainliest if this answer helped you ⭐
I can’t download anything so if anyone can find a way to help with this I’d be grateful (^_^)
A square table in the cafeteria has the dimensions shown. What is the length of the diagonal of the table? Round to the nearest hundredth of a foot.
Answer: 11.31
Step-by-step explanation:
Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm
Answer:
area = 58.5 cm²
Step-by-step explanation:
area = 18 x 6.5 x 0.5 = 58.5 cm²
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
Sophie buys a wheelbarrow priced at $72. If the sales tax is 5%, what will be the total cost
including tax?
Answer:
$75.6
Step-by-step explanation:
5%of 72 = 3.6
72+3.6 = 75.6
100 PTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
The width of a rectangular field is represented by x. The length of the rectangle is 5 more feet than the width. The total area of the field is 24 square inches. Write an equation to represent the area of the rectangle.
Answer:
24 ÷ x = 5
i hope this helps :)
Answer:
It is 24 ÷ x = 5
Step-by-step explanation:
One leg of a right triangle is 3 cm and the hypotenuse is 5 cm. Joni found the length of the other leg by evaluating √32 + 52. What error did she make? How would you help her correct her error so she is less likely to make the same error in the future?
Answer: See explanation
Step-by-step explanation:
We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:
x² + 3² = 5²
x² + 9 = 25
x² = 25 - 9
x² = 16
x = ✓16
x = 4cm
The other leg is 4cm
Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.
PLEASE HELP
What do the ratios 15:5 and 15:22 represent?
15:5 compares losses to wins and 15:22 compares games to wins.
15:5 compares wins to losses and 15:22 compares wins to games.
15:5 compares wins to losses and 15:22 compares wins to ties.
15:5 compares wins to ties and 15:22 compares wins to games.
15 : 5 = 15 : 5
15 : 5 = 1 : 0.33333333333333
= 3 : 1
= 3 : 1
15
15 + 5
= 75%
Answer:
B
Step-by-step explanation:
15:5 compares wins to losses and 15:22 compares wins to games.
what is the slope of this line?
Answer:
-1/200
Step-by-step explanation:
To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.
find the value of 2\5of rs75
Step-by-step explanation:
Given
[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]
Hope it will help :)
Answer:
2÷5×75=30
Step-by-step explanation:
Linear inequality systems graphically
Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age is divided by three, the sum of those numbers is fourteen. How
old are Janine and Ingrid?
Answer:
Janine is 28. Ingrid is 30.
Step-by-step explanation:
Let the ages be x and x + 2 for Janine and her sister, respectively.
x/7 + (x + 2)/3 = 14
Multiply both sides by the LCD, 21, to get rid of denominators.
21 * x/7 + 21 * (x + 2)/2 = 21 * 14
3x + 7(x + 2) = 294
3x + 7x + 14 = 294
10x = 280
x = 28
x + 2 = 30
Answer: Janine is 28. Ingrid is 30.
Answer:
Janine is 28 and Ingrid is 30.
Step-by-step explanation:
Let Janine's age be x years , then Ingrid's age is x+2 years.
From the given information we have the equation:
x/7 + (x + 2)/3 = 14
Multiplying through by the LCM of 3 and 7 (21), we have:
3x + 7(x + 2) = 294
10x + 14 = 294
10x = 294-14 = 280
x = 28, so:
Janine is 28 and Ingrid is 30.
Please help.... I don’t understand
Answer:
$5
Step-by-step explanation:
Set up a system of equations
let b be the cost of a bow
let w be the cost of a roll of wrapping paper
This means that
[tex]5b + w = 10\\b + w = 6[/tex]
Subtract the two equations
[tex]5b + w = 10\\- (b + w = 6)\\4b = 4\\b = 1[/tex]
Plug this into the equation b + w = 6
1 + w = 6
w = 5.
This means the cost of a bow is $1 and the cost of a roll of wrapping paper is $5.
The figure shows the graphs of the functions y = f(x) and y = g(x) . The four indicat points all have integer coordinates. If g(x) = f(x) + k, what is the value of k?
Answer is in the file below
tinyurl.com/wpazsebu
Answer:
2
Step-by-step explanation:
2x + 6
96
solve for x using an algebraic equation
Answer:
v
Step-by-step explanation:
Lorenzo's family is driving to the beach to go kayaking with sea otters. The beach is 85 miles from Lorenzo's house. They have already driven 63 miles. Help and plz put the equation
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I'm guessing that you want to find the equation to know the miles left for Lorenzo family to reach the beach.
The equation will be gotten by subtracting the distance that the family has driven already from the total distance from their house to the beach. This will be:
= 85 miles - 63 miles
= 22 miles
What is the volume of the prism?
*Do NOT round your answer.
Answer:
300 in³
Step-by-step explanation:
Hello There!
The prism shown is a rectangular prism
The formula for volume of a rectangular prism is
[tex]Volume=lwh[/tex]
where l = length w = width h = height
so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula
so
[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]
Answer:
the volume of the prism=length ×breadth ×height =10×5×6=300in³
The best description of a dilation of a figure is?
Answer:
an enlargement or a reduction of the figure
a slide of the figure
a turning of the figure about some fixed point
a mirror image of the figure
The best description of a dilation of a figure is a slide of the figure.
What is dilation?
A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.
Now,
The best description of a dilation of a figure is a slide of the figure.
Learn more about the dilation visit:
https://brainly.in/question/7119691
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solve
¾.(z to the 3rd power . 4)=
Answer:
In the number 75, 5 is the base and 7 is the exponent. Solution: False. Example 7: 4. 3 a. a a a a b. b b b. + + +. = + +. Solution:.
HHHHHHHHHEEEEEEEEEELLLLLLLLLLPPPPPPPPP ILL FAIL MY CLASSSSSSSSSSSSSS
for number 4 because it has select, the select are
first one under C) 66, 64, 67, 65
under B) 24, 23, 26, 25
under A) 15, 16, 17, 18
lowest under C) 40, 41, 42, 39
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also this one: Which of the following represents a Pythagorean Triple?
Group of answer choices
{21, 72, 75}
{11, 45, 60}
{5, 7, 10}
{10, 20, 30}
Answer:
I think the answer is {10,20,30} but please check it
Answer:
I only know the first one for right now and the answer is 17
Step-by-step explanation:
You got to find the value of x in the figure
To do that, you have to apply Pythagorea theorm: hyp^2=a^2+b^2. where a and b are legs of the triangle. Hyp=hypotenuse. So in conclusion you have this: x^2=8^2+15^2
x^2=64+225
x^2=289
Then it's x= 289 like this
[tex] \sqrt{289} [/tex]
Which gives you the answer 17
Let me know if this helps
50.6 is what percent of 55?
50.6 is % of 55.
Answer:
50.6 is 92% of 55
Step-by-step explanation:
50.6:55*100 =
(50.6*100):55 =
5060:55 = 92
Now we have: 50.6 is what percent of 55 = 92
Hope this helped!
SOMEONE PLS HELP I HAVE LIKE A MINUTE LEFT!!!
Answer:
C
Step-by-step explanation:
I'll explain if you need but i'm trying to answer quick for you
Answer:
C
Step-by-step explanation:
3500(1.04)^15
6,303
so in 15 years it will be over 6,000 dollars in the account
hii please help i’ll give brainliest!!
Answer:
your answer should be C.