Answer:
The Pythagorean Theorem can be used to find the length of the legs and hypotenuse of a triangle. While the distance of a vertical or horizontal line can be counted easily, a diagonal line cannot be determined the same way. A diagonal line, such as the line between the two points shown on the graph, is the hypotenuse of an imaginary right triangle. If you draw the legs of the triangle by drawing straight lines through the points on the graph until the lines meet at a point, you can count the distance of the legs and plug those values into the Pythagorean Theorem.
Step-by-step explanation:
In this case, the meeting point of straight lines drawn through the points is
(-3, -4)
and the distances of the legs of the right triangle are 8 and 6. The theorem is
a² + b² = c²
so 8² + 6² = c² to 64 + 36 = c² to 100 = c² and [tex]\sqrt 100 = \sqrt c^{2}[/tex]
so 10 = c
The distance of the line (hypotenuse) is 10.
the question is on the sheet.
area of the whole figure
[tex] = (x + 1)(2x + 3) \\ = x(2x + 3) + 1(2x + 3) \\ = 2 {x}^{2} + 3x + 2x + 3 \\ = {2x}^{2} + 5x + 3[/tex]
area of the unshaded region
[tex] = x(2x) \\ = {2x}^{2} [/tex]
area of the shaded region
[tex] = {2x}^{2} + 5x + 3 - {2x}^{2} \\ = ( {2x}^{2} - {2x}^{2} ) + 5x + 3 \\ = 5x + 3[/tex]
THEREFORE,
THE AREA OF THE FRAME IS C. 5x + 3
Solve the system.
2x + 3y – z = -1
6. x - 2y + 4z = 18
(5x + 6y – 2z = -6
Answer:
x=-4
y=7
z=14
Step-by-step explanation:
what are the zeros of the polynomial x squared+5x+6
Answer: (-3, 0) and (-2, 0)
Step-by-step explanation:
1. Factor
(x+3)(x+2) = 0
2. Check if your factoring is correct
x^2 + 3x +2x + 6 = 0
x^2 + 5x + 6 = 0
3. Look back at factors and use them to find the zeros
(x+3) - > (-3, 0)
(x+2) -> (-2, 0)
3/8 divided by 2/3.
Answer:
Fraction: 9/16
Decimal: 0.563
What is the percent of change from 5,000 to 9,000?
Answer:
40%
Step-by-step explanation:
10000 = 5000 = 50% + 9000 = 40%
A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?
Answer:
[tex]\$ \ \dfrac{428}{500}x[/tex]
Step-by-step explanation:
Regular price of a pair of shoes = $[tex]x[/tex]
Discount offered = 20%
Amount of discount offered = 20% of $[tex]x[/tex]
Discounted price = Regular price - Amount of discount
Discounted price = $[tex]x[/tex] - 20% of $[tex]x[/tex] = 80% of $[tex]x[/tex] = [tex]\$ \frac{4}{5}x[/tex]
Now, it is given that there is a sales tax of 7% as well on the price.
Sales tax is applied on the discounted price.
Therefore, sales tax = 7% of [tex]\$ \frac{4}{5}x[/tex]
Final Price after applying the sales tax = [tex]\$ \frac{4}{5}x[/tex] + 7% of [tex]\$ \frac{4}{5}x[/tex]
[tex]\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x[/tex]
[tex]\Rightarrow \$ \ \dfrac{428}{500}x[/tex]
Therefore, the expression to represent the final price of the pair of shoes:
[tex]\$ \ \dfrac{428}{500}x[/tex]
How do you solve quadratic equations?
Answer:
Completing the square
Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add. ...
Find the square root of both sides of the equation.
Solve the resulting equation.
Step-by-step explanation:
there
Answer: Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add.
Find the square root of both sides of the equation.
Solve the resulting equation.
Step-by-step explanation: Hope this helps!
Members of a baseball team raised $1199.50 to go to a tournament. They rented a bus for $830.50 and budgeted $30.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answer:
The team can bring 12 players to the tournament.
Step-by-step explanation:
With the information provided, you can say that cost of going to a tournament is equal to the cost of renting the bus plus the result of multiplying the cost per player for meals for the number of players, which is:
c=830.50+30.75x, where:
c is the cost of going to a tournament
x is the number of players
Now, you can replace c with $1199.50 that is the total amount they raised and solve for x:
1199.50=830.50+30.75x
1199.50-830.50=30.75x
369=30.75x
x=369/30.75
x=12
According to this, the answer is that the team can bring 12 players to the tournament.
what percent of 120 is 66?
Answer:
55%
Step-by-step explanation:
66
120
x 100% = 55%
Answer:
66 is 55% of 120
Step-by-step explanation:
66 = 120 * x%
percent just means out of 100
for example, 20% is equal to 20/100
so, x% is x/100
66 = 120 * x/100
66/[tex]\frac{x}{100}[/tex] = 120
66 * 100/x = 120
6600/x = 120
cross multiply
6600/x = 120/1
6600 * 1 = x * 120
6600/120 = x
x = 55
Help mee cuz if you help me I will give you brain last
Answer:
it is c
Step-by-step explanation:
The price of a ticket, in dollars, on the local commuter train can be determined from the expression 2.75 + 0.50(s), where s is the number of stops for which the passenger will be on the train. Use this expression to find the price of a ticket to ride the train for 13 stops.
Answer:
$9.25
Step-by-step explanation:
2.75+ .5(13)
.50 (13)= 6.5
6.5 +2.75= 9.25
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−1/5x+3 ≤ 7
please solve asap im so confused
Answer:
Step-by-step explanation:
-1/5 x+3 ≤7
-1/5 x≤7-3
-1/5 x≤4
x≥-20
{-20,-10,0,10,20}
Pleeeeeaaaasee help
The difference of a number and 8 is 46 less the number. Find the number
Answer:
54
Step-by-step explanation:
what u gotta do is add 46 with 8 and you can check my answer with 54-46=8
difference means you subtract
sum means you add
product means you multiply
and quotiant means you divide
The required number is 27.
Given that,
To determine the number the difference of a number and 8 is 46 less than the number
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27
Thus, the required number is 27.
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What is the rate of change of the function y= -7?
Answer:
Zero
Step-by-step explanation:
Average rate of change can also be called as gradient or change in the respective variable , in this case we need the average rate of change of y which has the function y = -7
Since this is a linear function and if we draw the graph of y = -7 the graph would be parallel to the x-axis, and any line parallel to the x-axis has slope of zero , hence the average rate of change of the function y = -7 is zero
Which equation best represents the relationship between x and y in the graph?
y
A. O y = 4x - 1
B.Oy = 12-1
C.
y = 4x + 1
DO g =
1x +1
u3uwi2i2i3ij3j3ui
Step-by-step explanation:
ii3jj3i3i3i3i3i3ii3u3ieu so
I need help please thank you
Answer:
its b i think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
They can't add 5 into it because they are not like terms if it was 5h instead then yes you could but it is just 5.
A parabola had a vertex at (3,4) and passes through the point (5,-4) what is the standard form equation for the parabola.. help pleasee
Answer:
i need help on this one aswell
Step-by-step explanation:
noooooooooooo
pls
someone help us on this question
What is the slope of the line?
Answer:
- 7/4
Step-by-step explanation:
1) (y2 - y1)/(x2 - x1)
2) pick two points, mine were (1,-3) and (-3,4)
3) Substitute the values (4+3)/(-3-1)
4) Solve and no matter what points you’ll get -7/4
A shop is offering a 15% reduction on the price of a computer .The original price of the computer was $670.what is its reduced price?
Answer:
$569.50
Step-by-step explanation:
15% deduction from the initial price(100%) will have us remaining with 85%
100% = 670
85% = 85% x 670
100%
= $569.50
Please help !!
-
Omar buys stuffed animals for $4 each. He sells them for $7 each. Is this a markup of markdown situation? What is the percent profit?
Answer:
This is a markup situation, since the price increased. The percent of profit would be 75% because 7-4=3, 3/4 = 75%
PLEASE HELP ASAP!!!!!! HELP ME PLEASE!!!!!
Answer:
m∠A = 74°
m∠T = 32°
Step-by-step explanation:
m∠A must be m∠C due to symmetry.
m∠C + m∠A + m∠T = 180° because it's a triangle.
m∠T = 180 - m∠C - m∠A = 32
-7(2x-3) equivalent expression
Answer:
-14x+21
Step-by-step explanation:
-7(2x-3)
-14x+21
Answer:
-14x+21
Step-by-step explanation:
tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute
Answer:
75
Step-by-step explanation:
Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression
213 +35
Answer:
7 and 21
Step-by-step explanation:
ok how is every ones day ok what is 12345 times 23456=
What is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet? Pls show work
Answer: -1/4
Step-by-step explanation: The slope is rise over run. The ski run drops 5, so it would be -5, and the horizontal change of 20 would be the run, so you'd get -5 over 20 then you divide both by 5 and you get your answer of -1 over 4.
-1/4 is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
So the two points are (0,5) and (20,0)
m=0-5/20-0
m=-5/20
m=-1/4
Hence -1/4 is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
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Can someone really help me please
Answer: 22
Step-by-step explanation:
A website rents new-release movies for $3 and older movies for $2. The revenue, r, of the website can be represented by the equation r = 3n + 2m, where n is the number of new-release movies rented and m is the number of older movies rented. Last month, the revenue was $6,840 and 1740 new release movies were rented Enter the number of older movies that were rented by solving for m.
m =
Answer:
[tex]m=810[/tex]
Step-by-step explanation:
[tex]r=3n+2m[/tex]
Where
[tex]r=6840\\n=1740\\m=?[/tex]
[tex]6840=3(1740)+2m\\6840=5220+2m\\6840-5220=5220+2m-5220\\1620=2m\\\frac{1620}{2} =\frac{2m}{2} \\m=810[/tex]
Answer :[tex]m=810[/tex]
PLEASE MARK ME AS BRAINLIEST
what is -4 (-6x + 3) = 12
Answer: x = 1
Step-by-step explanation:
Simplifying
-4(-6x + 3) = 12
Reorder the terms:
-4(3 + -6x) = 12
(3 * -4 + -6x * -4) = 12
(-12 + 24x) = 12
Solving
-12 + 24x = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 24x = 12 + 12
Combine like terms: -12 + 12 = 0
0 + 24x = 12 + 12
24x = 12 + 12
Combine like terms: 12 + 12 = 24
24x = 24
Divide each side by '24'.
x = 1
Simplifying
x = 1
Answer:
Step-by-step explanation: heyy... the pic attached below shows all the steps with a brief explanation. I hope it helps u !!!
The price of a leather coat is $150.00 plus 8% sales tax. What is the sales tax on the leather coat?
Answer:
$12
Step-by-step explanation:
To find this, you just need to find 8 percent of 150. You can do this by multiplying 150 by .08, or multiplying 150 by 8/100.