Answer:
x = 1
y = -2
Step-by-step explanation:
We have the system of equations:
-7*x - 8*y = 9
-4*x + 9*y = -22
To solve this type of system, we need to start by isolating one of the variables in one of the equations.
I will isolate the variable x in the first equation to get:
-7*x - 8*y = 9
-7*x = 9 + 8*y
x = (9 + 8*y)/(-7)
x = -(9 + 8*y)/7
Now we can replace this in the other equation to get:
-4*(-(9 + 8*y)/7) + 9*y = -22
And now we can solve this for y, we will get:
(4/7)*(9 + 8*y) + 9*y = -22
(4/7)*9 + y*(9 + 8*(4/7)) = -22
y*(63/7 + 32/7) = -22 - (36/7)
y*(95/7) = -(22*7/7) - (36/7)
y = (7/95)*(-(22*7/7) - (36/7)) = (-22*7 - 36)/95 = -2
y = - 2
Now we can replace this in the equation x = (9 + 8*y)/(-7) to find the value of x:
x = (9 +8*(-2))/(-7) = 1
Then the solution for the system is the pair (1, -2)
That means:
x = 1
y = -2
.What is the standard form of y – 8 = 2(x + 3)?
4x^5+2x^4+2x^3+4
I NEED HELP FACTORING THIS PLACE
Answer:
2(x+1)x(2x^4-x^3+2x^2-2x+2)
Step-by-step explanation:
Use the app that named Photomath can help you solve this kind of problem easily!
I am using it for factoring questions too!
The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many students are girls?
Answer:
15 students are girls
Step-by-step explanation:
7+5=12
36÷12=3
3x5=15
What are the domain and range of the function on the
graph?
In ΔHIJ, the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. What is the value of the tangent of ∠H to the nearest hundredth?In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?
Answer:
11:60
Step-by-step explanation:
In ΔHIJ, given the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. We are to find tan<H
Using SOH CAH TOA
tan theta = opposite/adjacent
JI is the opposite (facing m<H)
HJ will be adjacent
tan m<H = JI/HJ
tan m<H = 48/55
tan m<H = 0.87 (to the nearest hundredth)
In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?
Using SOH CAH TOA
tan theta = opposite/adjacent
LK is the opposite (facing m<J)
JL will be adjacent
tan m<J = LK/JL
tan m<H = 11/60
Hence the ratio that represents the tangent of ∠J is 11:60
which statements are true about rectangle ABCD?
Answer:
the answer will be B and D
Step-by-step explanation:
The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain
Answer:
P = 4(2x + 5)
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Step-by-step explanation:
Given that:
Perimeter of square = 4 * s
Where s = side length
If perimeter, P = 8x + 20
Then,
4s = 8x + 20
Divide both sides by 4
4s / 4 = (8x + 20) / 4
s = 2x + 5
P = 4s
P = 4(2x + 5)
Or
P = 2x + 5 in 4 places
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Simplify
4y — 4ys + 2y – 5у — 54 – 34
Answer:
-4ys + y - 88
Step-by-step explanation:
When we have to simplify equations that have different variables, we always have to look at the like terms, which the like terms are ones that contain the same value and variable. So let's look at our equation :
4y — 4ys + 2y – 5у — 54 – 34
We can see three different terms here :
ys, y, and a constant term.
The rule is that we can only combine two properties that have the same like term, so in the equation :
4y — 4ys + 2y – 5у — 54 – 34
These have the same variable, therefore we can combine like terms.
4y + 2y - 5y
6y - 5y
y
Now implace it into the equation :
y — 4ys — 54 – 34
Onto the next property :
y — 4ys — 54 – 34
This is alone, therefore we can leave it :
y — 4ys — 54 – 34
These two are the same property, so do the following :
-54 - 34
-88
Impace into the equation :
y - 4ys - 88
Now that we have no same common like terms, we can order our equation to greatest value to least :
-4ys + y - 88
A car was traveling at a rate of 2 2/3 yards in 3/4 of a minute. How far is is going each minute?
How to tell the difference between multiplication and division word problems?
Answer:
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME ASAP
Answer:
156 dollars
Step-by-step explanation:
Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123
Answer:
A) $87.5
B) $164
Step-by-step explanation:
A) Marked Price (Original Price)
= [tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{77}{1-0.12}[/tex]
=87.5
B) Marked Price (Original Price)
=[tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{123}{1-0.25}[/tex]
=164
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form
(-3,5). (3.3)
Answer:4/3 i think
Step-by-step explanation:
Answer:
Point-slope form:
[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]
Slope-intercept form:
[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]
Step-by-step explanation:
We want the equation in point-slope form and slope-intercept form that passes through the points (-3, 5) and (3, 3).
First, we will find the slope between the two points. By the slope formula:
[tex]\displaystyle m=\frac{5-3}{-3-3}=\frac{2}{-6}=-\frac{1}{3}[/tex]
Point-slope form is given by:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
We can choose either point. I'm going to let (3, 3) be (x₁, y₁). The slope m is -1/3. Therefore:
[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]
Is the point-slope form*.
To find the slope-intercept form, we simply need to isolate y. Distribute:
[tex]\displaystyle y-3=-\frac{1}{3}x+1[/tex]
Adding 3 to both sides yields:
[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]
This is slope-intercept form.
*If you use the other point, the point-slope form will be:
[tex]\displaystyle y-5=-\frac{1}{3}(x+3)[/tex]
Tax of northglenn city is calculated at 6.5%. Carlos is at a convenience store with his mom and needs to convert the percent the percent to a decimal to input it on his calculator. What decimal number should he use?
A racing shell, which is a boat a crew team rows, moves 20 km/h in still water. During practice, the team rows 36 km against the current and 22 km with the current. Find the speed of the river current if the team rows a total of 3 hours.
Answer:
2 km/h
Step-by-step explanation:
Let x represent the speed of the river current, t₁ be the time spent rowing against the current and t₂ be the time spent rowing with the current.
Since the speed of the still water = 20 km/h.
The speed of rowing against the current = (20 - x)
The speed of rowing with the current = (20 + x)
We know that velocity = distance / time. Hence time = distance / velocity
t₁ = 36 / (20 - x)
t₂ = 22 / (20 + x)
but t₁ + t₂ = 3 hours
Therefore:
3 = 36 / (20 - x) + 22 / (20 + x)
multiply through by 400 - x²
3(400 - x²) = 36(20 + x) + 22(20 - x)
1200 - 3x² = 720 + 36x + 440 - 22x
3x² + 14x -40 = 0
This gives x = -6.7 or x = 2
x cannot be negative therefore x = 2 km/h
The speed of the river current is 2 km/h
Answer:
2km/h is correct
Step-by-step explanation:
The other guy is absolutely correct
please i need help
and I need to have work
ds here so I guease this ends a conversation please help
Answer:
Step-by-step explanation:
9 is 4a + 6b - 3c
10 is 2x(small 2) - 6 + 5x
11 is 5 - 2d
12 is - 3x
13 is - a - b
14 is 7c + 9d
15 is 4x(small 2) + 9x - 16
16 is 12y -14
17 is 2a(small 2) + 3ab
I hope I got them all correct. If I got any wrong, feel free to tell me so I can check my work. : )
Look at the table below. For a certain tree, the table shows the relationship between the height of the tree in feet to its age in years.
What is the rate of change of the height of the tree to the age of the tree?
•The height of the tree increases by 2 feet for every year in the age of the tree.
•The height of the tree increases by 5 feet for every year in the age of the tree
•The height of the tree increases by 2 feet for every 5 years in the age of the tree.
•The height of the tree increases by 5 feet for every 2 years in the age of the tree.
Answer:
D
Step-by-step explanation:
The last option in the picture
Can somebody give the answer pls
Answer: OOO I KNOW THE FOURTH ONE
Step-by-step explanation: y^2 + z^2 = x^2
Answer:
D
Step-by-step explanation:
According to the Pythagorean's theorem, in a right triangle, the sum of the adjacent side squared and opposite side squared is equal to the hypotenuse squared in other words
[tex]y^{2} + z^{2} = x^{2}[/tex]
Find the area of the circle to the nearest hundredths ( Use 3.14 for pi) (4cm)
Answer: 50.24 cm²
Step-by-step explanation:
ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM
The formula for the area of a circle is pi(3.14) * r(4)^2
[tex]3.14*4^2[/tex]
[tex]3.14*16[/tex]
[tex]50.24[/tex]
Hope it helps <3 :D
What is the probability of NOT choosing a 4?
9/16
7 of the squares are 4 so we just substract that from the total of 16 and we get 9
Color of socks
Number of socks
white
8
black
7
blue
2
brown
3
From the table, the ratio of white socks to brown socks is
Select two ratios equivalent to the ratio of white socks to brown socks.
32
A.13
B.15
41
C.32
12
D.40
15
Answer:
D.40:15 are equivalent to the ration of white socks to brown sock which is 8:3
Rhonda and Shalene live together in an apartment, so they combine their income each week to pay for their rent and bills. Rhonda's paycheck is modeled by the function r(x)=22x+50,r(x)=22x+50, where xx is the number of hours worked. Shalene's paycheck is modeled by the function s(x)=30x−25,s(x)=30x−25, where xx is the number of hours worked. Which function represents their household income if they work the same number of hours?
Answer:
(r+s)(x)=52x+25
Step-by-step explanation:
i dont know how to explain but this is what I choose and it was right.
Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9
Given:
Point D is the centroid of Triangle ABC and DE = 9.
To find:
The measures of CD and CE.
Solution:
We know that, centroid is the intersection of medians and it divides each median in 2:1.
In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,
Let the measures of CD and DE are 2x and x respectively.
DE = 9 (Given)
[tex]x=9[/tex]
Now,
[tex]CD=2x[/tex]
[tex]CD=2(9)[/tex]
[tex]CD=18[/tex]
And,
[tex]CE=CD+DE[/tex]
[tex]CE=18+9[/tex]
[tex]CE=27[/tex]
Therefore, the measure of CD is 18 units and the measure of CE is 27 units.
The measure of CD and CE are 18 and 27 respectively
From the given diagram, the following are true:
CD = 2DEGiven that DE = 9
CD = 2(9)
CD = 18
Similarly;
CE = CD + DE
CE = 18 + 9
CE = 27
Hence the measure of CD and CE are 18 and 27 respectively
Learn more on centroid here: https://brainly.com/question/25845737
if h (x) = |5x - 17|, find h(3)
Answer:
2
Step-by-step explanation:
5x - 17
5(3) - 17 = 15 - 17 = -2
let me know if its right or wrong
7th grade please solve the problem above. Write a paragraph explaining how you found the solution you must include each step for solving please!!!
Answer:
x=0
Step-by-step explanation:
You must isolate the variable to solve for it, so subtracting 14 from the left is the first thing to do. This can be supported by using PEMDAS, whereas we are doing the inverse here to solve for something in the equation. This gives us 2x=0. Next, we have to divide by 2, which gives us x=0.
A triangle has side lengths of 6, 8, and 9. What type of triangle is it? right obtuse equiangular acute
Answer:
acute
Step-by-step explanation:
Answer:
It is an acute triangle
Step-by-step explanation:
If it is an acute triangle, a^2 + b^2 > c^2
If it is a right triangle, a^2 + b^2 = c^2
If it is an obtuse triangle, a^2 + b^2 < c^2
If it is an equilateral triangle, a = b = c
6^2 +8^2 ? 9^2
36+64 ? 81
100 ? 81
? is >, meaning it is an acute triangle.
1. Mang Isko bought 30 kilograms of organic fertilizer for P738 at 12% discount
What was the original price?
Answer:
the original price of organic fertilizer was P839
Step-by-step explanation:
to get the 738 of 12% is
839
x. 12
_______
+ 1678
839
________
100.68
839
- 100.68
_________
738.32
Solve the system by graphing
6x – 9 = y
y = -3x
i can graph but how do you solve it
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Solve systems using substitution PLEASE
Why did the North allow the Constitution to protect slavery?
Answer:
hope helps
Step-by-step explanation:
The Constitution gave the federal government the power to put down domestic rebellions, including slave insurrections. The framers of the Constitution believed that concessions on slavery were the price for the support of southern delegates for a strong central government.
Answer:
The North allowed the constitution to protect slavery because they belived that slavery was an unhuamne thing although all their production for industrialization did come from the south where the slaves worked on them.
Step-by-step explanation: