Answer:
A) The solution is x = 2 and y = 2
B) The graphs would intersect at the point (2, 2).
Step-by-step explanation:
A)
We start with the system of equations:
y = 6*x - 10
y = 2*x - 2
To solve this, the first step is to isolate one of the variables in one of the equations.
Here we can see that the variable "y" is already isolated in both equations, so we can skip that step.
Now we can "replace" the "y" in one of the equations for the correspondent expression in the other.
we can write:
(6*x - 10) = y
and for the second equation, we know that y = 2*x - 2
So replacing that, we get:
6*x - 10 = 2*x - 2
Now we can solve this for x.
6*x - 2*x = - 2 + 10
4*x = 8
x = 8/4 = 2
Now to find the value of y, we can just input this value of x in any one of the two equations:
y = 6*2 - 10 = 12 - 10 = 2
y = 2*2 - 2 = 4 - 2 = 2
So the solution of the system is:
x = 2, y = 2
B) Because the solution of the system is the ordered pair (2, 2), this means that the ordered pair belongs to the graph of both lines, then we can conclude that these lines will intersect at that point (the one that is common to both lines). Actually, when we have a system of equations, graphing both equations and finding the points where the graphs intersect is one method to estimate the solution of the system.
Determine the missing side length of the triangle please and thank you!
Answer:
90
Step-by-step explanation:
It is a right angle
Answer:
8.944
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944[/tex]
ANSWER ASAP TEST IN ONLY 45 MINUTES
Simplify the expression. 5 + 5(x – 4) – 7x
a) 2x + 25
b) -2x - 25
c) -2x - 15
d) 2x + 15
Answer:
-2x-15
Step-by-step explanation:
Answer: C. -2x-15
Step-by-step explanation: 5 + 5(x – 4) – 7x
5(x-4)-7x+5
(5x-5×4)-7x+5
5x-20-7x+5
5x-7x-20+5
-2x-15
What is the slope-intercept form equation of a line that has a slope of 1 and passes
through the point (-4, 10)?
Answer:
y = 1x+14
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Substitute the point into the equation
10 = -4+b
Add 4 to each side
10+4 = -4+b+4
14 = b
y = x+14
Decide whether there is enough information to prove that r∥s. If so, state the theroem you would use.
Answer:
C
Step-by-step explanation:
if the two lines were parallel, then the alternate, on opposite side of the trasversal, exterior, or not inside the lines, angles would be congruent. sicne they are, the line are parallel
Please hurry i need help and im stuck!!! helpsosososos
Answer:
2
Step-by-step explanation:
the x and y are being multiplied by 2 e.g. 1 × 2 is 2 and 2 × 2 is 4 so the constant is 2
Answer:
2
Step-by-step explanation:
y2-y1 4-2 2
-------- = --------- = ---------- = 2
x2-x1 2-1 1
Solve for r. Round to the nearest tenth of a degree, if necessary. P 5 3.1 Q R
(X+4) • (3x)
(Help answer this )
Answer:
3x^2 +12x
Step-by-step explanation:
(x+4) • (3x)
Distribute
3x*x + 3x*4
3x^2 +12x
5f - 2g + 3f - 4 - g
Answer:
8f-3g-4
Step-by-step explanation:
hope this helps U0U
What is the est. decimal for the square root of 50?
Answer:
7.071
Step-by-step explanation:
Hope this helps
Help please............. please
Answer:a!
Step-by-step explanation:
Need help with these 1 questions please show work !!!! Due soon !!
Answer:
1. is 29.3in^3
2. 268.08
4/3pi(r)^3
4/3pi(4)^3
= 268.08
Rounded to the nearest tenth is 268.1
If your Gross Pay for a week at work is $340, and you have to pay 23% in taxes, what is your Net Pay (what you take home)?
Answer:
$261.80 Net pay
Step-by-step explanation:
340 x 0.23 = $78.20 in taxes
$340 - $78.20 = $261.80 Net pay
Answer:
$261.8 Is how much you take home.
Step-by-step explanation:
(* is multiply)
In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5
23% of 340 is 78.2 ( 340 * 0.23)
Subtract 340 by 78.2, and you get your net pay, 261.8
Another way to do this is subtract 100% by 23%.
so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep
so 340 * 0.77 = 261.8
Which of the following is most likely the next step in the series?
Look at the photo
Select the correct answer. (And pls no link)
Compare the two functions.
f(x)= 1/50(3)^x
g(x)=1/5x^2
Answer:
20 is right
Step-by-step explanation:
to easy I know maths
Answer:
When your comparing the two functions.
F(x)= 1/50(3)^x
G(x)=1/5x^2
When you compare it i think it would be C
PLEASE DONT QUOTE ME ON THIS
Step-by-step explanation:
Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.
Answer:
v = 2c
Step-by-step explanation:
find the value of (256)-3/4
help with steps pls
Answer:
Step-by-step explanation:
(256)-3/4
=256*-3/4
=-768/4
=-192
PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
266.386
Step-by-step explanation:
im not shore if its right, i used a surface area calculator
Answer:
56ft
Step-by-step explanation:
Surface area is adding up all the sides multiplied by 2, so:
8 x 2 = 16ft
8 x 2 = 16ft
12 x 2 = 24ft
24ft + 16ft + 16ft = 56ft
The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently
Answer:
I only know this much.....
A) Deepthi has won the election.
B) Rashmi got minimum number of votes.
Two friends, Parker and David, took summer jobs. The graph below represents David's earnings in dollars and cents, yy, for working xx hours.
The population of one type of fish, P.,, and another type of fish, P2, are modeled by the equations P1 = 10.000) and P2 = 1000(3) Where
I is the time in years.
Which expression describes the relationship between the populations P; and P2 in 3 years?
O A P2 = 1/2
O B. P2 = 1 / 1
OC P2 = 2 P
OD. P₂ = 1 / 2
OE P2 = 720P
Mr. Kelly pays $12,564 a year for rent. His rent is a constant amount each month.
Which equation represents the amount he pays per month if m = months and
c = total rent paid for the year?
Answer:
c=12,564
m=1,047
Step-by-step explanation:
PLEASE HELP ME! WILL MARK BRAINLIEST
Answer:
THE SECOND ANSWER
Step-by-step explanation:
what is the answer to my problem
Matti built a greenhouse in his backyard as shown below. A triangular prism with a rectangular base. The prism has a base of 7 feet by 15 feet. The height is 7 feet. The side lengths are 7.8 feet. How much cubic space is in Matti's greenhouse? 191.1 ft 367.5 ft 382.2 ft 735.0 ft
Answer:
Capacity of Matti's green house = 367.5 cubic feet
Step-by-step explanation:
Given:
Base Width and Length = 7 feet by 15 feet
Height of prism = 7 feet
Find:
Capacity of Matti's green house
Computation:
Capacity of Matti's green house = Volume of rectangular base[triangular prism]
Volume of rectangular base[triangular prism] = Area of triangular base x Height
Capacity of Matti's green house = [(1/2)(7)(7)][15]
Capacity of Matti's green house = [(1/2)(49)][15]
Capacity of Matti's green house = [(24.5)][15]
Capacity of Matti's green house = 367.5 cubic feet
Answer:
367.5 Cubic ft3
Step-by-step explanation:
Just look at the other persons explanation
(Please give them brainliest)
What strategies do you use when measuring the volume of a rectangular prism? Share your thinking using 2-3 sentences.
you wanna know my strategy? I grab a hammer, smash the rectangular prism open, and drink its insides and see how much my stomach fills. EZ.
Help, please!! I don’t have much time
Answer:
B.
Step-by-step explanation:
Question 32 The numbers represented by variables a and c, on the number line, are integers. if c > b > a, under which of the following conditions could the expression b < -1 be true? when a = -4 and c = 0 B when a = - 1 and c = 3 OO C when a O and c 8 when a 1 and c = 2
The number line inequality will be true for the following condition given in this problem:
When a = 0 and c = -8.
How are real numbers represented on a number line?On a number line, real numbers increase from left to right, meaning that:
Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.
For this problem, the inequality is:
c > b > a.
Which means that:
c is to the left of b.b is to the left of a.We have that b < -1, hence:
c < -1 (can be -2, -3, -4, and so on...).a > -1 (can be 0, 1, 2, 3, and so on)...Then the conditions that make the statement b < -1 true are given as follows:
When a = 0 and c = -8.
More can be learned about number line inequalities at https://brainly.com/question/24372553
#SPJ1
plz help i beg uu. Will give branliest
A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet
from the base of the building. The side of the building and the ground form
a right angle as shown.
Enter the distance between the ground and the top of the ladder, x, in feet.
Answer:
Pythagorean theorem:
x^2 = 17^2 - 8^2
x^2 = 225
x = sqrt(225) = 15
The distance is 15 ft
Answer:
Solution given:
base=8ft
hypotenuse=17ft
perpendicular=?
By using Pythagoras law
hypotenuse ²=perpendicular ²+base²
17²=perpendicular ²+8²
perpendicular ²=17²-8²
perpendicular=[tex]\sqrt{225}=15[/tex]
the distance between the ground and the top of the ladder, x is 15ft.JELLO HELLO KNOCKS FOR HELP
Answer:
I think it's 9×30=270 (given
270-180 (sum of triangle
=90°