Step-by-step explanation:
y = mx +b
m - the slope; b- y-intercept
therefore;
y = 3x - 4
m = 6; b = -4
y = 5x - 3
m = 5; b = -3
The coordinates of the point where the lines are crossed are the solution to the system of linear equations.
How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)
y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)
***look at the img for graph reference***
Part B: x = 1; y = 2
An escalator lifts people to the second floor of a building, 30 above the first floor. The escalator rises at a 30 angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?
Answer:
[tex]d=60ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height [tex]h= 30ft[/tex]
Angle [tex]\theta=30 \textdegree[/tex]
Generally the equation for Distance traveled is mathematically given by
Since
Distance traveled forms the hypotenuse of a right angle triangle
Therefore
[tex]d=\frac{h}{sin30}[/tex]
[tex]d=\frac{30}{sin30}[/tex]
[tex]d=60ft[/tex]
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Arrange the expressions in increasing order of their values.
Answer:
The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.
Step-by-step explanation:
The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.
how to find the area of a circle with radius
Answer:
π (radius) square
where π value is 22/7
HELP 100 POINTS PLEASE GET IT RIGHT
Answer:
1.) [tex]5x^{2} -7x+1[/tex]
2.)[tex]2(x^{2} -3x-3[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) ([tex]2x^{2}[/tex] - 9x + 4) + ([tex]3x^{2}[/tex] + 2x - 3)
= [tex]2x^{2}[/tex] - 9x + 4 + [tex]3x^{2}[/tex] + 2x - 3
= [tex]5x^{2}[/tex] - 7x - 1
2) [tex]x^{2}[/tex] - 4x - 3 + [tex]x^{2}[/tex] -2x - 3
= [tex]2x^{2}[/tex] - 6x - 6
The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?
Answer:
Answer: There is 32in² more sand in the pyramid with greater volume.
step explanation:
EASY MATH PLEASE HELP!! : )
I WILL GIVE BRAINLIEST!
QUESTION: find the area of the shaded part.
120
10 x 8 = 80
8 x 5 = 40
80 + 40 = 120
Answer:
is it 40
Step-by-step explanation:
6×10=60. 4×5=20
60-20=40
Missing measure help
Help, please!!!
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.
The probability of picking a card with an even number is ___
.
Answer:
the top is right 2/5
Step-by-step explanation:
The probability is 3 / 10.
What is Probability?The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
7, 11, 12, 13, 14, 18, 21, 23, 27, and 29
So,
even numbers are = 12, 14, 18.
The probability of picking a card = 3 / 10
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
i need help ill give brainliest
Answer:
486
Step-by-step explanation:
multiply the length width and height for the surface area
pls mark me brainliest
25A) Find the length of a rectangular lot with a perimeter of 132 feet if the
length is three more than twice the width.
Answer:
34.5 ft
Step-by-step explanation:
~Refer to the attachment for the solution.
HELP ME PLEASE! ×∆×
Applying the Pythagorean theorem, solve this triangle.
Answer:
The length of the hypotenuse is the square root of 169, which in turn is 13.
Step-by-step explanation:
Here we have a right triangle with leg lengths 12 m and 5 m. Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.
The Theorem states that a^2 + b^2 = c^2. In this particular case,
(12 m)^2 + (5 m)^2 = c^2
which in turn becomes:
144 + 25 = 169. The length of the hypotenuse is the square root of 169, which in turn is 13.
Part A The measure of ∠AFC is 120°, and the measure of ∠BFC is 95°. Which equation can you use to find the measure of ∠AFB? 120° + 95° = x 120° – 95° = x 120° + x = 95° x – 120° = 95°
Answer:
x = 120-95
Step-by-step explanation:
The correct equation for the expression is:
∠AFC = ∠AFB+ ∠BFC
Given that
∠AFC = 120°
∠BFC = 95°
Substitute
120= ∠AFB+95
∠AFB = 120-95
If ∠AFB = x
The required equation will be:
x = 120-95
2.2 × 1019) + (1.5 × 1016)
Answer:
Use calculator it's easy ....
Answer :
3765.8
Answer:
[tex](2.2 \times 1019) + (1.5 \times 1016) \\ = 2241.8 + 1524 \\ = 3765.8[/tex]
PLEASE HELP!! I WILL MARK BRAINLIEST
What is the equation of this trend line enter your answers by fulling in the boxes K= J+
Answer:
K = -2J + 24
Step-by-step explanation:
Find two point of the line
(12,0) ; (10,4)
Use this equation:
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-0)/(4-0) = (x-12)/(10-12)
y/4 = (x-12)/(-2)
y/4 = (-x+12)/2
y = -2x + 24
A group of twelve friends went bowling. The regular price was $8.00. The bowling alley offered a discount price of $6.00 to college students. Is they paid a total of $80.00, how many paid the regular price and how many got the discount?
Answer:
x = friends that paid discount price = 8
y = friends that paid regular price = 4
Step-by-step explanation:
Let
x = friends that paid discount price
y = friends that paid regular price
x + y = 12 (1)
6x + 8y = 80 (2)
From (1)
x = 12 - y
Substitute x = 12 - y into (2)
6x + 8y = 80 (2)
6(12 - y) + 8y = 80
72 - 6y + 8y = 80
- 6y + 8y = 80 - 72
2y = 8
y = 8/2
y = 4
Substitute y = 4 into (1)
x + y = 12 (1)
x + 4 = 12
x = 12 - 4
x = 8
x = friends that paid discount price = 8
y = friends that paid regular price = 4
WHATS THE AREA PLSSSSS
Answer:
34 in
Step-by-step explanation:
Trapezoid Area Formula: A= 1/2h (base 1 + Base 2)
A= 1/2(4)* (12+5)
A= 2 *(17)
A= 34 in
I hope this helped :)
Expand to write an equivalent expression. −5(7m−2)
Answer:
Step-by-step explanation:
-5(7m-2)
-5*7m-(-5)*-2
-35m+10
The expansion of an equivalent expression −5(7m−2) is -35m + 10.
What is a distributive property?Distributive property says that the sum of two or more addends multiplied by a number, gives the same answer as distributing the multiplier, multiplying each added separately, and adding the products together.
Given expression
−5(7m−2)
For expanding the expression, use distributive property
= -5 × 7m - (-5) × (-2)
= -35m + 5 × 2
= -35m + 10
Hence, The expansion of an equivalent expression −5(7m−2) is -35m + 10.
Learn more about distributive property here
https://brainly.com/question/23137494
#SPJ2
A train travels 164 miles in 4 hours.
How far does it travel per hour?
Rate
Unit Rate
Answer: 23 12
Step-by-step explanation:
What is the greatest common factor that can be factored out of the polynomial 64x5 – 16x3 + 80x
Answer:
GCF = 16
Step-by-step explanation:
All 3 coefficients are divisible by 16, and 16 is the greatest factor that can divisible.
Answer:
GCF = 16
Step-by-step explanation:
64/16 = 4
16/16 = 1
80/16 = 5
All of the terms in the polynomial are able to be divided by 16 the GCF.
Find the side length x. Round answer to the nearest hundredth.
Find the midpoint
(1,-8) (-7,0)
Answer:
(-3, -4)
Step-by-step explanation:
Handy fact: the average of two numbers is exactly halfway between them.
To find the midpoint, average the x-coordinates; average the y-coordinates.
(1 + -7)/2 = -6/2 = -3
(-8 + 0)/2 = -8/2 = -4
The midpoint is (-3, -4).
Find the next 4 terms using inductive reasoning. 2, -6, 18, -54, 162
Answer:
-486, 1458, -4374, 13,122
Step-by-step explanation:
each number is multiplied by -3
what is the value of x??
Answer:
x + 5 = 5×
7x - 5 = 2x
5x + 2x + x = 180
8× = 180
8 8
x = 22.5
Four brothers divided 53 pounds of peanuts evenly among themselves.
How many pounds of peanuts did each brother get?
Help, please!! I don’t have much time
Answer:
I might be wrong, but if I did this right it would be D.
Step-by-step explanation:
I'm sincerely sorry if I got this wrong.
Answer:
B. 3.72 x [tex]10^{7}[/tex]
Step-by-step explanation:
The distance between the sun and Mercury is approximately 36,000,000 miles.
Move the decimal point 7 positions to the left so that there is only one digit to the left of it.
Multiply that number by 10 raised to the power of 7
7 is the number of positions that the decimal point was moved.
I do not know this subject too well but hopefully this helps.
Evolution is the changes in organisms over _________
1: a month
2: tens of years
3: thousands of years
4: millions of years
Answer:
4.
Step-by-step explanation:
Answer:
Evolution is the changes in organisms over ____millions of years_____
1: a month
2: tens of years
3: thousands of years
4: millions of years
PLEASE HELP QUICK.HELP. PLEASE EXPLAIN HOW TO FIND ANSWER ASWELL
Answer:
gradient = 1
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line
m = [tex]\frac{1-0}{0-(-1)}[/tex] = [tex]\frac{1}{1}[/tex] = 1
Ali earns $80 in 10 hours. How long would it take him to earn $200?
Answer:
25 hours
Step-by-step explanation:
first you ask yourself that :
if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.
The answer is it will take more hours to make $200,
Based on this idea established: we say if it's giving more then less would divide.
so therefore:
we have
[tex] \frac{200}{80} \times 10 [/tex]
finally we have 25 hours.
Thanks
Erica had $20 she spent on three gifts she spent 9 3/4 dollars on gift a and 4 1/2 dollars and gift b how much money did she have left for gift c
Answer:
$5.75
Step-by-step explanation:
20=9.75 + 4.5 + c
20-9.75-4.5=c
5.75=c