Answer: x=2, y=-1
Step-by-step explanation:
Step 1) Make both equations have the same coefficient
What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.
[tex](2)x - (2)2y = (2)4\\2x-4y=8[/tex]
Step 2) Add the equations together to eliminate y
[tex]2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10[/tex]
Step 3) Solve for x
[tex]\frac{5x}{5} =\frac{10}{5} \\x=2[/tex]
Step 4) Sub the value of x into an equation and solve for y
[tex]x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1[/tex]
PLEASE HELP
Rock it out builds stage sets for rock concerts in the shape of a square pyramid. One set has a base that is 12 feet long and 12 feet wide. The slant height of the set is 13 feet. What is the surface area of the stage set?
Answer:
I am pretty sure it's 312ft^2
Step-by-step explanation:
If you do 12x13/2 its 78
then you would do 78 x 4
and you get 312
so its 312ft^2
Does anybody know how to find area of a triangle?
Answer:
Step-by-step explanation:
area = 1/2 x base x height
Explanation:
Hello, I’m here to help you!➡ Pythagorean Theorem: a² + b² = c²
➡ We eliminate D - So the Pythagorean theorem is used for right triangles and that equation is a² + b² = c² and answer D doesn't have anything squared.
➡ Hypotenuse is what letter in the theorem? It is Letter C!
➡ 11² + 60² = 3721
The correct Option is C.Hope this helps! :)
yoooo somebody help!!!
Answer:105
Step-by-step explanation:
area of rectangle (b*h) (7*12)
Area of triangle 1/2 (b*h) 1/2(7*6)
Rectangle=84
Triangle=21
84+42= 105
Answer:
105
Step-by-step explanation:
Well, this figure, as you can see, is made of two figures - a triangle and a rectangle.
To find it's area we will find the areas of the triangle and the rectangle separately and then sum them. I hope you get why we do that.
So, let's start with the rectangle.
The area of the rectangle is very easy to find simply just multiply the lenghts of its two sides:
A1 = 7 * 12 = 84
Now, the triangle.
You can see that one of the smaller sides of the rectangle is equal to 7. The side in front of it is also 7. Notice that this side is also equal to one of the sides of the triangle, its base.
So from the figure we can tell that the base of the triangle is equal to 7, we are also given its height.
There is a formula we can use here to find the area. The area of a triangle is equal to its base (a) multiplied by the height(h) and divided by 2. I'll call the area of the triangle A2.
We know the height
h = 6
I hope you noticed that we also know the base
a = 7
So we just use the formula:
A2 = (6 * 7) / 2 = 42 / 2 = 21
Now that we have the areas of the two figures, A1 and A2, all we have to do is to sum them to find the area of the big one.
So, let's do it:
A = A1 + A2
A = 84 + 21 = 105
help please, giving brainliest!!
Answer:
4/52
Step-by-step explanation:
ANSWER QUICKLY FOR BRAINLIEST!!
What is the volume of the triangular prism?
Please help, im so confused PLEASEEEEE
Answer:
[tex] x^2 -6^2[/tex]
x(x - 6) + 6(x - 6)
Step-by-step explanation:
Area of the white figure
= Area of external square - Area of internal square
[tex] x^2 -6^2[/tex]
This can also be written as:
x(x - 6) + 6(x - 6)
What is the area of the regular polygon?
6 m
Answer:
Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula,
The peak of one mountain is 6 mi above sea level. The peak of another is 4 mi below sea level. What is the difference in altitude between the two mountain peaks?
Answer:
difference of 10 min
Step-by-step explanation:
13 × 6 + 11
Which of the following is equal to the expression listed above?
A.
11 × 13 + 6
B.
6 × 13 + 11
C.
6 × 11 + 13
Answer:
Your answer is B
Step-by-step explanation:
6 x 13 +11 = 89
13 x 6 + 11 = 89
TRUE
Answer:
Anwer is B
Step-by-step explanation:
13×6+11=89
so 6×13+11=89
so the true answer is B
The temperature in Toronto was -5°C on Wednesday. It fell by 3°C on Thursday. What was Thursday's temperature?
Answer:
-8°C Degrees in Toronto
Step-by-step explanation:
Just calculate it.
If you minus 3 from -5, then you will get -8, so hence, your answer is -8.
Answer:
-8 (degrees)C
Step-by-step explanation:
-5-3=-8
Please Help! DUE IN 15 MINUTES!! Solutions to Systems. I'll Mark Brainliest!!
Your teacher has given you the system of inequalities below.
5x - 3y > 1
3x + 4y ≤ 18
A fellow student proposes the following method of sketching the solution to the system of inequalities above: "First, I shade the region of points that satisfies the first inequality. Next, I shade the region of points that satisfies the second inequality. The solution consists of all points that have been shaded."
Part A: Do you agree with your peer's method? Explain your answer. Use the system 5x - 3y > 1 and 3x + 4y ≤ 18 to support your answer.
Part B: Include a graph of the system 5x - 3y > 1 and 3x + 4y ≤ 18 to justify your conclusions.
Part C: Label where the solutions are located on the graph.
Answer:
Part A: I disagree, because when shading the regions of inequalities, only the shaded area that overlaps with the other shaded area is the solution, not every single point shaded. 5x - 3y > 1 and 3x + 4y ≤ 18 have an overlapping shaded region, that is where the solutions are.
Part B: picture attached
Part C: All points located on the overlapped shaded region (the darkest part)
Step-by-step explanation:
hope this helps, good luck!
Decide whether y is a function of x.
2x + y = 7
2x + y = 7, y is a function of x
Explanation:
2x + y = 7 is a function
===================
Rewrite into slope intercept form
y = 7 - 2x
y = -2x + 7
It is a linear equation (straight line)The vertical line touches the graph only one time. Thus y is a function of x.
Answer:
Given equation: [tex]2x+y=7[/tex]
Definition of a function
A relation is a function if each y-value corresponds to one or more x-values.A relation is not a function if each x-value corresponds to more than one y-value.The given function is in the standard form of a linear equation: [tex]ax+by=c[/tex]
If the given equation is rearranged to make y the subject:
[tex]y=-2x+7[/tex]
it is now in the general form of a linear equation, [tex]y=mx+b[/tex] (where m is the slope and b is the y-intercept).
A linear equation is one of a straight line, and so, by definition, each value of y corresponds to one value of x. Therefore, this is a one-to-one function.
can any one help me ples
Answer:
x [tex]\geq[/tex] 5 ( the last one)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The inequality of C says the amount of hours of tv that kenny can watch (x) can be exactly or anything below 5 hours
approx. how much is this
4,754÷1.9≈
Answer:
2502.10526316
≈ 2502.11
Step-by-step explanation:
Hope this helps!
Which function has a horizontal asymptote of y = 3?
Answer:
f(x) = 2(4^x)+3
this gets you horizontal asymptote of y = 3
Step-by-step explanation:
A cylinder has a height of 13 meters. Its volume is 16,328 cubic meters. What is the radius of the cylinder
Answer:
19.99 (rounded)
Step-by-step explanation:
We know that the formula to solve is:
[tex]V=\pi r^{2}h[/tex].
[tex]R = \sqrt{\frac{V}{\pi h } } = \sqrt{\frac{16328}{\pi 13} = 19.99493[/tex]
can somebody please give me the awnser?
Answer:
68m2
Step-by-step explanation:
First you can split the shape into three different ones (as shown in my incredibly awful sketch ><)
Then you can multiply the length x width.
so 3x3 and 3x3 and 5x10
The sum of all the answers in 68 ^^
hope this helps for further problems <33
The Cold War had a large influence on the foreign relations and actions of the United States around the globe. Describe two ways the Cold War influenced American foreign policy in Latin America?
Answer:
During the Cold War, the political and economic tensions between the U.S. and the Soviet Union shaped Latin American political society. Named as 'Operation Condor', the political crackdown of revolutionary organizations and guerrilla groups on the continent was backed by the North American superpower.
A storage container consists of a box of length 90cm, width 42 cm and height 34 cm, and a lid
in the shape of a half-cylinder, as shown in the diagram. The lid fits the top of the box exactly.
The total exterior surface of the storage container is to be painted.
Find the area to be painted.
Answer:
20079.05 cm^2,
Step-by-step explanation:
Surface area of the box without the lid
= 90*42 + 2(90*34) + 2(42*34) = 12756.
Now find Surface area of the half cylinder:
The diameter of the 2 half circles = 42 so the radius = 21.
The area of the lid
= 2 + 1/2 π (21)^2 + π r * 90
= 7323,052
Total = 20079.052
3. What is the probability of choosing a gray button, replacing it, and choosing gray again
Using the binomial distribution, it is found that there is a 0.16 = 16% probability of choosing a gray button, replacing it, and choosing gray again.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
There are two trials, hence n = 2.Two out of the five buttons are gray, hence p = 2/5 = 0.4.The probability of two gray buttons is:
P(X = 2) = (0.4)² = 0.16.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
Which number is irrational? Question 2 options:
A fraction
A terminating decimal
The square root of an imperfect square
Zero
Answer:
The square root of an imperfect square
Answer:
The square root of an imperfect square
Step-by-step explanation:
The base of a cylinder water tank has an area of 28 square feet. When the tank is full it holds 140 cubic feet of water. What is the height?
Answer:
5 feet
Step-by-step explanation:
So you know the cross-sectional area of the circle at the bottom of the cylinder is 28 square feet and you are told the volume of the cylinder is 140 cubic feet which means the height must be 5 feet as the 28 square feet must continue going up to fill the 140 cubic feet.
Tia lives at the corner of 4th street and 8th avenue. lei lives at the corner of 12th street and 20th avenue. the fruit market is three-fourths the distance from tia’s home to lei's home. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 where is the fruit market? 6th street and 11th avenue 10th street and 17th avenue 9th street and 15th avenue 8th street and 14th avenue
Applying the distance formula, the distance from from Tia's home to Lei's home = 14.4 units.
What is the Distance Formula?The distance formula helps us to find the distance between two given coordinate points. It is expressed as, [tex]\mathbf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} }[/tex].
Tia = (4, 8) = (x1, y1)
Lei = (12, 20) = (x2, y2)
Apply the distance formula to find the distance from Tia's home to Lei's home:
d = √[(12−4)² + (20−8)²]
d = √[(8)² + (12)²]
d = √(64 + 144)
d = √208
d ≈ 14.4 units
The distance from from Tia's home to Lei's home = 14.4 units.
Learn more about the distance formula on:
https://brainly.com/question/661229
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What’s the missing side length in this right triangle?
Answer:
your correct answer is 15
i just did wrong so the person below me is correct
Step-by-step explanation:
Answer:
A: 15
Step-by-step explanation:
It is asking for the hypotenuse of the triangle. To find this, use pythaogreans theorem.
A^2 + B^2 = C^2
In this case,
9*9 + 12*12 = C*C
81 + 144 = C*C
225 = C*C
Now do the square root of both sides and you get
15 = C. Therefore the missing length is 15.
A group wants to visit a water park over
the summer. Tickets cost $10 for each
child and $15 for each adult. The group
has a total of $90 to spend on tickets to
the water park. The equation
10x + 15y = 90 represents the total
cost of the water park tickets and is
graphed below.
Answer:
9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park
Step-by-step explanation:
Akira ordered a set of beads. She received 100 beads in all. 8 of the beads were green. What percentage of the beads were green?
Answer:
8%
Step-by-step explanation:
8 out of 100 are green
8/100 * 100% = 8 %
Answer:
8% of the beads are green
Step-by-step explanation:
Step 1: Determine what percentage of the beads are green
This problem is known as a probability problem which basically tries to determine the proportionality between certain numbers. In this example we are trying to figure out the proportionality between the green beads and the total sample.
(8 green beads) / (100 total beads)
0.08
0.08 is the probability but if we want to determine what the percentage is of the number we just multiply it by 100.
0.08 * 100 = 8%
Answer: 8% of the beads are green
The length of a rectangle is
3x + 7 and the width of the
rectangle is x – 2.
What is the area of the figure?
Answer:
Area = 3x^2 +x -14 units^2
Step-by-step explanation:
Area of a rectangle is (width x height)
Area = (x-2)*(3x+7)
Area = 3x^2 +x -14
how many nickels will you need to buy a candy bar that's 20 c
Answer:
4 Nickles
Step-by-step explanation:
to find this out we can devide the total cost (20 ¢) by the worth of the coin we are using (1 Nickel = 5 ¢) as shown below
20 ÷ 5 = 4
what this equation shows is that 4 nickels are needed to add up to a total of 20 ¢
hope this helps
side note, i dont usually say this but at the moment i am 2 crowns away from my next level, so if the answer seems fit to you a crown would be, depending on the other answer, thank you
EDIT:
Additional Example
this method can be applied to most situations, even if you need multiple coin types
say Ron wants to buy a 57 ¢ apple pie slice in exact change, lets assume he has a surplus in the four common coins in his wallet book or pocket
first he uses a quarter and divides as follows
57 ÷ 25 = 2 with a remainder of 7
then he can take a coin of less value then the remainder (in this case a nickel since 5 < 7, and not a dime since 10 > 7)
7 ÷ 5 = 1 with a remainder of 2
and finally with the pennies
2 ÷ 1 = 2
with this info we know that Ron will need 2 quarters, 1 nickel and 2 pennies to have exact change in the least amount of coins
if the area of a rectangle is represented by the expression 12x^2-5x-3 and the length is 4x-3, what expression represents the width
Answer:
option C
Step-by-step explanation:
area of rectangle = length * width
12x^2 - 5x - 3 = (4x - 3) * width
12x^2 - 9x + 4x - 3 = (4x - 3)* width
3x(4x - 3) + 1(4x - 3) = (4x - 3)*width
(3x + 1)(4x - 3) / (4x - 3) = width
3x + 1 = width
This circle is centered at the origin, and the length of its radius is 4. What is the equation of the circle?
Answer:
A. x^2 + y^2 = 4^2
Step-by-step explanation:
The equations of a circle is x^2 + y^2 = r^2
Therefore, the equation of this circle is x^2 +y^2 = 4^2
Answer:
A
Step-by-step explanation:
Remark
The formula for a circle is
x^2 + y^2 = r^2
The number associated with x^2 and y^2 must always be 1. If it's not then you do not have a circle.
Answer
The answer to this question is x^2 + y^2 = 4^2 where r = 4 and it is squared.