Answer:
y = - [tex]\frac{5}{4}[/tex] x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (4, 2) ← 2 points on the line
m = [tex]\frac{2-7}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - [tex]\frac{5}{4}[/tex] x + 7 ← equation of line
The year the Greek city of Helike disappeared is -1/5 times the year the US Civil War ended. Let w represent the year the Civil War ended. Write an expression in terms of w to represent the year of Helike’s disappearance.
Variables:
w= The\ year\ Civil\ War\ ended
The year the Greek city of Helike disappeared is -1/5(w)
sry if im wrong i hope this helps tho :)
Answer:
Hope this helps
Step-by-step explanation:
-1/5x=w
w=1865
so -1/5x=1865
x=-9325
1) The height, h, in feet of a ball above the ground is given by h = -16t2 + 64t+ 80, where t is the time in seconds. How long does it take the ball to hit the ground? es A) 3 seconds B) 4 seconds 95 seconds D) 6 seconds
Answer:
C) 5 seconds
Step-by-step explanation:
[tex]h = - 16t {}^{2} + 64t + 80[/tex]
When the ball hits the ground, the height is 0.
[tex]0 = - 16t {}^{2} + 64t + 80[/tex]
Factor out the greatest common factor: 16
[tex]0 = - 16(t {}^{2} - 4t - 5)[/tex]
Find numbers whose sum is -5 and product is - 4.
Those numbers are - 5 and 1: - 5 × 1 = - 5, - 5 + 1 = - 4
[tex]0 = - 16(t - 5)(t + 1)[/tex]
[tex]t - 5 = 0[/tex]
Or
[tex]t + 1 = 0[/tex]
So,
[tex]t = 5[/tex]
Or
[tex]t = - 1[/tex]
Since time cannot be a negative value the correct answer is 5 seconds.
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.
The system of equations
c=52+8d
c−3d=82
can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?
Answer:
Both plans would cost $100 if 6 gigabytes of data are used.
Explanation:
From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:
c = 52 + 8d ........................... (1)
c = 82 + 3d ........................... (2)
Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:
52 + 8d = 82 + 3d
8d - 3d = 82 - 52
5d = 30
d = 30 / 5
d = 6
Substituting d = 6 into equation (1), we have:
c = 52 + (8 * 6)
c = 52 + 48
c = 100
Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.
-3x + 4y = -15 and 4x - y = -19
4x - y = -19
=> -3x + 4y = -154(4x - y) = 4(-19)
=> -3x + 4y = -1516x - 4y = -76
=> 13x = -91=> x = -7Now, let's substitute the 'x' value in the equation.
=> -3(-7) + 4y = -15=> 21 + 4y = -15=> 4y = -21 - 15=> 4y = -36=> y = -9Conclusion:Therefore, the answers are:
x = -7y = -9Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
(-7, -9).
( x = -7 and y = -9)
Step-by-step explanation:
-3x + 4y = -15
4x - y = -19
Multiply second equation by 4:
16x - 4y = -76
Add this equation to the first to eliminate y:
13x = -15 + -76
13x = -91
x = -7.
Substitute this into equation 2:
4(-7) - y = -19
-y = -19 + 28
-y = 9
y = -9.
PLEASE HELP!!!!!! This is very important to me PLEASE HELP ASAP and if you help me god bless you
Answer:
try the 3rd one
Step-by-step explanation:
if it's not right then i'm sorry
Answer:
Below!
Step-by-step explanation:
The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
solve for value of x in simplest radical form
Answer:
3
Step-by-step explanation:
Use the Right Triangle Alt. Thm., Pythag. Thm. and/or Similar Triangles to solve.
Answer:
Step-by-step explanation:
Determine the slope of the line. what does it represent about the plant?
Answer: slope is 2/3
Step-by-step explanation:
Someone please answer this and not one of those bot links answer it someone an actual person please answer it I’ll give you brainliest…
Answer:
1) y = 13.5x + 12) y = 12x + 43) Sam won the raceStep-by-step explanation:
Part 1Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
The distance after x seconds is:
y = 13.5x + 1Part 2Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
The distance after x seconds is:
y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4Part 3After 15 seconds the distance from the start line is:
Sam ⇒ y = 13.5*15 + 1 = 203.5 ftAlice ⇒ y = 12*15 + 4 = 184 ftAs we see Sam is further from the start line than Alice
A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?
Answer:
6 miles
Step-by-step explanation:
2 inches : 1.5 miles
8 inches : 4(2 inches)
8 inches : 4(1.5 miles)
8 inches : 6 miles
6 miles away
-Chetan K
The actual distance between the two trails is 6 miles.
Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.
Let x represent the actual distance between the trails in miles. The proportion would be:
(2 inches / 1.5 miles) = (8 inches / x miles)
Now, solving for x:
2/1.5 = 8/x
Cross-multiplying:
2x = 1.5 × 8
2x = 12
Divide by 2:
x = 6
So, the actual distance between the two trails is 6 miles.
Learn more about proportion here:
https://brainly.com/question/1496357
#SPJ3
Choose the equations that are not linear equations.
X/2 -y*3 = 1
O - x-y= 2.
x2 + y=4
x= 5
Answer:
#2 and #4
Step-by-step explanation:
Anything with a variable squared is not linear
(I need these answered asap and with work and explanation included)
Answer:
blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.
Solve the following.
Answer:
Step-by-step explanation:
The scale factor is 5.3 repeating. So I divided 24 by 5.33333333333333333 and got 4.5. I don't know if it's accurate since it's a reapeating decimal but it's close enough. Then I multiplied 2 by 5.3333333333333333333333 and got 10.6666667.
1/3(1/6 + 5/12) - 1/36
Answer:
1/6
Step-by-step explanation:
Apply the distributive property.
1/3 x 1/6 = 2/36
1/3 x 5/12 = 5/36
Add the products.
2/36 + 5/36 = 7/36
Subtract the result by the 1/36.
7/36 - 1/36 = 6/36
Simplify the fraction.
6/36 = 1/6
-hope it helps
work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator
The answer is 34.54 cm
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: Radius=11cm
Thus circumference of the semi-circle is = πr
=3.14×11
=34.54 cm
Hence, The answer is 34.54 cm
Learn more about circumference of a circle here:
https://brainly.com/question/14200825
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(789+890)=(2992) answer it and i give u a taco
Answer:
False
Step-by-step explanation:
789+890 = 1679
Answer:
789+890+1313=2992
Step-by-step explanation:
What are the terms in this expression: x + 7 - 3x + 6y (Check all that apply)
A is x
B is -4
C is -3x
D is 6y
E is +7
True or false 6 to the 3 power = 216
Answer:
True
Step-by-step explanation:
6^3, or 6x6x6, is equal to 216.
---
hope it helps
Answer:
true
Step-by-step explanation:
Convert 20degrees Celsius to degrees Fahrenheit
Answer:
68 degrees fahrenheit.
Step-by-step explanation:
Formula:
(20°C × 9/5) + 32 = 68°F
Answer:
Its around 68F
Step-by-step explanation:
Hope this helped
anybody help please hm
Answer:
1
Step-by-step explanation:
if you use a calculator, it will come up as 1. I don't know why, but it does.
Hope this helps!
Is ∠ABC ≅ ∠ADC? Yes or no and why. PLEASE HELP ME? thanks. BRAINLIEST to CORRECT answers ONLY. PLEASE NO LINKS
I honestly don’t know
Answer:
x=-3h
x=-12
Step-by-step explanation:
[tex]\frac{x}{h} +1=-2[/tex]
[tex]\frac{x}{h} =-3[/tex]
[tex]x=-3h[/tex]
[tex]x=-3(4)[/tex]
[tex]x=-12[/tex]
Here you go. 29-28+28+11-11=?
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
29-28=1
1+28=29
29+11=40
40-11=29
Thank you for this challenge that was half the challenge of a challenge........
Better hope you stay up long enough to see the animatronics. :)
What is the length of EF in the right triangle below?
Answer:
A.24
Step-by-step explanation:
EF=√(25)²-(7)²
EF=√625-49
EF=√576=24
Find the area of the cuboid.
Answer:
32
Step-by-step explanation:
area=2(lb+bh+lh)
2(3×2+3×2+2×2)
2(6+6+4)
2(16)
=32
Evaluate the expression for x = 2 and y = 4.
Answer:
Not enough info
Step-by-step explanation:
Not enough info sry
What theorem can be used to prove that the two triangles are congruent?
SAS
AAS
SSS
ASA
Just gonna attach a picture of the problem so it’s easier
Answer:
Step-by-step explanation:
Part A
The first thing you have to do is develop a formula for the line.
It goes through (-2,3)
It has a y intercept of (0,-1)
So far what you know is
y = mx - 1
x = - 2
y = 3
3 = m(-2) - 1 Add 1 to both sides
3 + 1 = (-2)*m
4 = - 2*m Divide by - 2
4/-2 = m
m = - 2
The equation of the line is y = -2x - 1
Instead of y, we can use f(x)
f(x) = -2x - 1
Finally we can solve this part of the question.
f(1) = - 2(1) - 1
f(1) = -2 - 1
f(1) = - 3
Part B
f(x) = 5
y = 5
5 = -2x - 1 Add 1 to both sides
5+1 = - 2x Divide by - 2
6 / -2 = -2x/-2
-3 = x
The product of a binomial and a trinomial is x 3 3 x 2 âÂ’ x 2 x 2 6 x âÂ’ 2. Which expression is equivalent to this product after it has been fully simplified? x3 5x2 5x â€"" 2 x3 2x2 8x â€"" 2 x3 11x2 â€"" 2 x3 10x2 â€"" 2.
The product of given binomial and trinomial is given by below polynomial:
[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]
Given polynomials:Trinomial : [tex]x^3+3x^2-x+2[/tex]Binomial: [tex]x^2+6x-2[/tex]Explanation:The expression formed by the sum of sub expressions which are product of constant integers with variables raised to some exponent is called polynomial.
Their product is given by:
[tex](x^3 + 3x^2 - x + 2) \times (x^2 + 6x -2)\\= x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 -6x^2 + 2x +2x^2 + 12x - 4\\= x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]
Thus the product of given binomial and trinomial is given by below polynomial:
[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]
Learn more here:
https://brainly.com/question/1477426
Finding the Area of a Triangle
Calculate the area of the triangle:
A=
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation: