A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect
Answer:
The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect.
Step-by-step explanation:
Took the "quiz"
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find the gradient of a line that is perpendicular to 8y+4x=5
Answer:
gradient = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
8y + 4x = 5 ( subtract 4x from both sides )
8y = - 4x + 5 ( divide the terms by 8 )
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form
with gradient = - [tex]\frac{1}{2}[/tex]
Given a line with gradient m then the gradient of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
2 is the gradient of a line that is perpendicular to 8y+4x=5
What is slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane
The slope of line can also be called ad gradient of a line.
The standard form of line or slope intercept form of a line is given by
y=mx+c
where m is the slope of line and c is the y intercept.
The given equation of line is 8y+4x=5
We need to convert the equation of line to Slope intercept form
8y=5-4x
Divide both sides by 8
y=5/8-4/8x
y=-1/2x+5/8
So m is -1/2.
Two lines are said to be perpendicular if m₁m₂ =-1
if m₁=-1/2
then we need to calculate m₂
-1/2m₂=-1
m₂=2
Hence gradient of a line that is perpendicular to 8y+4x=5 is 2.
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Find the surface area of a pringles can that has a radius of 1.6 inches and a height of 9.8 inches. (Find the WHOLE surface area, including the top cover.
Answer:
10.55
Step-by-step explanation:
what is the slope of a line parallel to the line whose equation is y=2/3x+7 fully simplify your answer
Answer:
2/3
Step-by-step explanation:
When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.
So the slope of the second line is going to be the same as the first line: 2/3
Granny needs to paint a Loge made using two right triangles the dimensions Of the loge are shown below what is the difference between the area of the large triangle in the area of a small triangle
Answer:
The difference is
Step-by-step explanation:
Given
Large triangle
[tex]Base = 5cm; Height=9cm[/tex]
Small triangle
[tex]Base = 2cm; Height=6cm[/tex]
See attachment for logo
Required
The difference in their areas
Area is calculated as:
[tex]Area = 0.5 * base * height[/tex]
For the large triangle
[tex]Area = 0.5 * 5cm * 9cm[/tex]
[tex]Area = 22.5cm^2[/tex]
For the small triangle
[tex]Area = 0.5 * 2cm * 6cm[/tex]
[tex]Area = 6cm^2[/tex]
The difference (d) is calculated as:
[tex]d = 22.5cm^2 - 6cm^2[/tex]
[tex]d = 16.5cm^2[/tex]
Suppose you have a bag with 50 letters tiles in it and 9 of the tiles are the letter m. If you pick a letter tule at random from the bag, probability that is the letter m is 9/50
Answer: True- [tex]\dfrac{9}{50}[/tex]
Step-by-step explanation:
Given
There are 50 letter tiles
9 of them is m letter
Favorable outcomes to draw an m letter tile is 9
The total ways to draw a single tile is 50
Probability is the ratio of favorable to the total outcomes
[tex]P=\dfrac{9}{50}[/tex]
So, the given statement is true
2. The volume of a cylinder is 95 cubic centimeters. Which equation
can be used to find h, the height of the cylinderę Circle the correct
answer.
Given:
The volume of a cylinder is 95 cubic centimetres.
To find:
The equation that can be used to find h, the height of the cylinder.
Solution:
We know that, the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
We know that the base of the cylinder is a circle and the area of the circle is [tex]\pi r^2[/tex]. So, the base area of the cylinder is [tex]B=\pi r^2[/tex].
Now, volume of the cylinder is
[tex]V=Bh[/tex]
The volume of a cylinder is 95 cubic centimetres.
[tex]95=Bh[/tex]
[tex]\dfrac{95}{B}=h[/tex]
[tex]h=\dfrac{95}{B}[/tex]
Where B is the base area of the cylinder.
Therefore, the correct option is G.
pls answer asap no wrong answers pls
Answer:
401.92
Step-by-step explanation:
The formula used the calculate the volume of a cylinder is
πr^2h
π= 3.14
H= 8
r= 4
Volume= 3.14 × 4^2 × 8
= 3.14 × 16×8
= 401.92
Hence the volume is 401.92
given 4p = 18-5q. Calculate
i) value when q is 2
ii) value when p is 2
Answer:
i). 2 ii). 2
Step-by-step explanation:
i). 4p = 18 - 5(2)
4p = 18 - 10
4p = 8
p = 2
ii). 4(2) = 18 - 5q
8 = 18 - 5q
-10 = - 5q
q = 2
how do you get 0.1 x 2.4
Answer:
the answer is .24
Step-by-step explanation:
when you multiply 0.1 x 2.4 it equals out to .24
0.1 x 2.4= .24
Please help me answer this question
Answer:
254.34 ft^2
Step-by-step explanation:
The equation for area of a circle is π*r^2, where r is the radius of the circle. So we do 3.14*9^2 for the answer
Answer:
254.34 ft
Step-by-step explanation:
radius (9)
multiply it by itself (9x9)
so then you get 81
then the two radius squared (81) is multiplied by pi (3.14)
BER33333 Solving a word problem with two unknowns using a linear...
Devaughn is 8 years older than Sydney. The sum of their ages is 104. What is Sydney's age?
years old
Х
$
?
Answer:
56
Step-by-step explanation:
x+x+8=104
2x=96
x=48
48+8=56
What is the slope of the line that
passes through these two points?
(-1, 4)
(2, 2)
slope
[?
Answer:
-2/3
Step-by-step explanation:
2-4 / 2-(-1)
2-4 / 2+1
-2/3
Zane and his favorite geometry student, , have just set sail for a day of fun on lake Erie. A spring squall quickly forms and catches you off guard, leaving you adrift on the lake. Zane suddenly discovers he has an irrational fear of water and is reduced to hugging the mast. You hear Sherman barking from the top of a lighthouse to help guide you to shore. In order to save Zane and yourself, you must calculate how far away you are from this lighthouse. Using a range finder, you expertly measure the distance from the sailboat to the top of the lighthouse at 350 yards.
angle B is 40 degrees.
(a) Based on the above information, find the distance across the water from the sailboat to the island
where the lighthouse is standing. You can only use trigonometry to solve. You must show all work for
credit. Round your answer to the nearest whole number if needed.
(b)Calculate the height of the lighthouse. You can only use trigonometry or Pythagorean Theorem to
solve.
Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.
_________________________________________________________
According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).
Θ = 40hyoptenuse = 350adjacent = xcosine40 = x/350
[multiply both sides by 350]
350 · cosine40 = x
[put calculator in degree mode]
x ≈ 268 yards
So, the distance across the water from sailboat to the island is 268 yards.
_________________________________________________________
Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).
a^2 + b^2 = c^2
a = ? (opposite or height)b = 268 (adjacent)c = 350 (hypotenuse)a^2 + (268)^2 = (350)^2
a^2 + 71824 = 122500
a^2 = 122500 - 71824
a^2 = 50676
[square both sides]
[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{50676}[/tex]
a = [tex]\sqrt{50676}[/tex]
a ≈ 225
So, the height, opposite, of the lighthouse is 225 yards.
_________________________________________________________
ANSWER: a) 268 yards b) 225 yardsExpress the distance 440,000,000 meters using scientific notation in meters and then in millimeters. The distance 440,000,000 meters is expressed as how many meters in scientific notation.
Plot connect the points to make picture. Please
Answer:
that is what it would look like
Hope it helps!❤❤
helppppppppppppppppp
Answer:
64 degrees.
Step-by-step explanation:
We are given that angle QRP is 32 degrees.
We are also given that angle PRS is 84 degrees.
Add those two angles to get the measure of angle QRS.
measure of angle QRS= 116 degrees.
Same-side interior angles are supplementary
So,
116+ angle PQR= 180
subtract both sides by 116.
PQR=64
Therefore the measure of angle PQR is 64 degrees.
I hope this helps
Write an equation for esch line in Slope Intercept Form
Answer:
Step-by-step explanation:
Y intercept is at (0,1) so b=1
slope is go 4 down 1 right so slope is -4
Equation is
-4x+1=y
The sum of the 1st nth term gp is 127.the sum of the reciprocal is 127/64,if the 1st term is 1.find n and the common ratio
Answer:
Ratio (r) = 2
n = 7
Step-by-step explanation:
The formula for the sum of the nth term of a G.P is given as:
Sn = a(1-r^n)/(1-r)
Where n = Number of terms
r = Common ratio
The sum of the 1st nth term gp is 127.
Hence:
127 = 1(1-r^n)/(1-r)
The sum of the reciprocal is 127/64
The formula is inverted , hence:
Sn = 1/a(1-r^n)/(1-r)
127/64 = r^(1-n)(1-r^n)/(1-r)
Hence:
1/64 = r^(1-n)
r^(n-1) = 64
r^(n-1) = 2⁶
Hence:
r = 2
Solving for n
n - 1 = 6
n = 6 + 1
n = 7
Therefore:
r = 2
n = 7
A regular octagon is an eight-sided polygon with side lengths that are all equal. All three octagons are scale drawings of each other. Use the chart and the side lengths to compute each scale factor as a percent. How can we check our answers
Answer:
1.) 1.12/10= 1 2/10= 1.2% 10*1.2%=12
2.) 8/10=0.80% 10*0.80=8
3.)10/12=0.83% 12*0.83=10
%*whole
What is the formula for the volume of a prism?
What is the formula for the volume of a prism?
Answer:
Step-by-step explanation:
Base area * height
Answer:
i think that the answer is BH or Base area × Hight
HELP NEEDED ASAP HELP ME PLZ
Answer:
3
Step-by-step explanation:
105/7hrs
15/1hr
15/60min
0.25/per minute
0.25*12
= 3
Can some one plz help i really dont wna failll plzzz
LINKS WILL BE REPORTED
what is the volume of the bench in cub feet?
Split it into two rectangles:
6 x 2 x 2 = 24
3 x 2 x 2 = 12
Now add:
24 + 23 = 36 cubic feet
help also dont mind karl
Answer:
15/8
Step-by-step explanation:
the mixed answer is 1 7/8
but also the answer is 15/8
During her ride home from school, Dana sees 15 cars driven by men and
34 cars driven by women. What is the experimental probability that the
next car Dana sees will be driven by a man?
Answer: 30%
Step-by-step explanation:
what is the equation that the line goes through (1,-2) and is parallel to y=3x-3?
A. y-1=3(x+2)
B. y+2= -1/3(x-1)
C. y=3x+2
D. y+2=3(x-1)
Answer:
Step-by-step explanation:
Parallel lines have the same slope.
Point-slope equation for line of slope 3 that passes through (1,-2):
y+2 = 3(x-1)
ichi ni san ñya arigato
help pleaaseee rons of points and brainliest just need help.
Since both equations equal y they need to equal each other.
2x - 5 = -3x + 10
Add 3x to both sides:
5x -5 = 10
Add 5 to both sides
5x = 15
Divide both sides by 5
X = 3
Now solve for y by replacing x with 3:
Y = 2(3)-5 = 6-5 = 1
Y = -3(3)+ 10 = -9+ 10 = 1
Check: replace y with 1 and solve for x:
1 = 2x -5
Add 5 to both sides
6 = 2x
Divide both sides by 2
X = 3 ( True)
To get the paint color moss green, 2 parts
violet paint is mixed with 3 parts yellow
paint. How many parts yellow paint
should be mixed with 5 parts violet
paint to make moss green paint?