Answers
Answer:
case a) y=1/3x+8
case b) y=-3x+28
Step-by-step explanation:
case a)
parallel lines has the same slope, then, the searched line has the form:
[tex]y=\frac{1}{3} x +b[/tex]
Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has
[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]
Then, the line equation is y=1/3x+8
case b)
the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is
[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]
Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,
[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]
Hence, the searced equation is y=-3x+28
Related Questions
In a particular game, the probability of winning $95 is 1/36 and the probability of losing $7 is 35/36. What is the expected value after playing this game? Round to the nearest cent.
Answers
Answer:
1.53
Step-by-step explanation:
1
36
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85
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+
(
35
36
)
(
−
4
)
=
E
V
85
36
−
140
36
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E
V
−
55
36
=
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V
E
V
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1.53
The sum of two numbers is 38. The smaller number is 22 less than the larger number. What are the numbers?
Answers
Answer:
30 and 8
Step-by-step explanation:
30 - 8 = 22
Factor by Grouping
2y2 + 7yz + 5z2
Answers
Write an equivalent addition expression to : -10 – (-4)
Answers
Answer:
-6
Step-by-step explanation:
-10-(-4)=-1+4=-6
Hope this helps plz mark brainliest ;D
Find the slope of the line.
Answers
Will mark as brainless if you answer correctly
Answers
Answer:
ans=10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10(4-7) / -(4 - 1)
10(-3) / -(3)
-30 / -3 =
10
What is the value of the function at x=−2?
Answers
Answer:
y = 3
General Formulas and Concepts:
Reading a Cartesian PlaneReading and labeling coordinatesStep-by-step explanation:
The question is asking us what the y-value is when x = -2.
According to the graph, when x = -2, y = 3.
Therefore, y = 3.
y= -2x+8
what is the value of y when 0 is the value of x?
Answers
Not sure what you mean but will be explaining about y = 0 and x =0 anyway.
So for x = 0, that means the value of x is 0.
y = -2(0)+8
y=0+8
y=8
So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)
For y = 0, that means the value of y is 0.
0=-2x+8
-8=-2x
-2x=-8
x=4
So when y = 0, x = 4. We can write as (4,0)
Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg
Answers
Answer:
Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :
144/2.2
=65.45
=70 kg
What is the angle of elevation?
Answers
Answer:
Step-by-step explanation:
tan x° = [tex]\frac{3}{4}[/tex] ⇒ x° ≈ 36.87° ≈ 36.9°
What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)
Answers
The required value of θ for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.
What are trigonometric functions?The basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.
The given equation is,
cos(θ)=sin(θ/3-10) (1)
To find the value of θ,
Change the whole equation into one trigonometric function,
Since, cos(θ)=sin(90-θ)
Substitute this value in equation (1)
sin(90-θ)=sin(θ/3-10)
⇒90-θ=θ/3-10
⇒4θ/3=80
⇒θ=60
The value of θ is 60°.
To know more about Trigonometric Function on:
https://brainly.com/question/15768633
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Three letters are randomly chosen from PROBABILITY. What is the probability that at least one of the letters is B?
Answers
Answer:
2/11
Step-by-step explanation:
thats the probability
Answer:
2/11
Step-by-step explanation:
plsss help 6th grade math
Answers
Answer: D
Step-by-step explanation:
If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.
What is the domain of the relation?
✔ -4<=x<=6
What is the range of the relation?
✔ -4<=y<=4
Is the relation a function?
✔ yes
here are all the answers
Answers
Answer:
thx for ur help
Please help.
Solve the System of Equations by Graphing
y=4
3x+4y=4
Answers
Answer:
graph below
Step-by-step explanation:
Graph in image below
round 803 to the nearest ten. Enter your answer in the box below.
Answers
Answer:
800
Step-by-step explanation:
Answer:
Hey buddy, here is your answer. Hope it helps you
Step-by-step explanation:
It will round off to 800 as it is below 5. Above 5 it will round off to 810.
M=3 (-4,-7) PLease include steps!!( I will give brainliest)
Answers
Answer:
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What is the
total distance that Dallas will run?
148 yards
166 yards
196 yards
256 yards
Answers
Answer:
Option (4)
Step-by-step explanation:
Perimeter of a polygon is the sum of measures of all sides of the polygon.
From the picture attached,
Distance run by Dallas = Perimeter of the ground
= 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50
= 256 yards
Total warm up run by Dallas = 256 yards
Therefore, Option (4) will be the correct option.
Answer:
b
Step-by-step explanation:
got it right on edge
Find the quotient of 60:5
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
60:5 = 60/5. 60/5=12
Find the area of the shape shown below
Answers
Answer:
18 MARK AS BRAINLIEST OR ELSE!!!!
Step-by-step explanation:
area = 1/2h(sum of bases)
area = 1/2x3(3+9)
area = 1/2 of 36
area = 18
A line passes through the point (-6,7) and has a slope of -4/3. Write an equation in slope-intercept form for this line.
Answers
Answer:
Step-by-step explanation:
y-7= -4/3 (x+6)
y-7= -4/3x-8
add 7 to both sides
y= -4/3x-1
The equation in slope-intercept form for the given line is 3y = -4x -3
What is Equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that a line passes through the point (-6,7) and has a slope of -4/3.
Standard equation of a line = y = mx + c where m is the slope,
Therefore, putting values of x and y to get the value of c
7 = -6*-4/3 + c
c = 7 - 8
c = -1
Equation = y = -4x/3 -1
Or, 3y = -4x -1
Hence, the equation of a line passing through the point (-6,7) and has a slope of -4/3 is 3y = -4x -1
For more references on Equation, click;
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If the area of the rectangle is(xA^3−4x^2−15x+21) and the width is (x-6), what is the length?
Answers
Answer:
hmm, imma have to do the problem
Step-by-step explanation:
what is the cost of making one burrito (remember that cost is negative)
Answers
Answer:
$550
Step-by-step explanation:
How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5
So, profit for 100 burritos is $5.5 x 100 = $550.
C
Kris is cutting ribbon that each measure 2 ft
long. If Kris is cutting from a piece that measures
8zft
, how many pieces can Kris cut?
Answers
Answer:
4
Step-by-step explanation:
because 2+2+2+2=8 pretty self explanatory
Answer:
13
Step-by-step explanation:
The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. and its height is? (in3/s)
Answers
Answer:
[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]
Step-by-step explanation:
Given that:
The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;
The volume of a given circular cylinder is:
[tex]V = \pi r^2 h[/tex]
[tex]V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)[/tex]
[tex]V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 \sqrt{t}}{12}+ \dfrac{1}{2\sqrt{t}} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 {t}+6}{12\sqrt{t}}\bigg)[/tex]
[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]
Write an expression to model the following situation: A submarine was 32 m below sea level. It descended 28 more meters.
What is its new position below sea level?
32 + 28
32 – 28
–32 + 28
–32 – 28
Answers
David has available 40 yards of fencing and wishes to enclose a rectangular area.
Answers
Answer:
5 units will be your width and 15 will be your length so it would look like side#1=5 side #2=15 side number3 is 5 and side number 4 is 15 assuming that side 1 and 3 are parallel.
Step-by-step explanation:
yes
What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5
Answers
Answer:y = -0.6x + 5
Step-by-step explanation:
Answer:
yessir the one on top is right btw
Step-by-step explanation:
hope this helped
Please answer this correctly without making mistakes
Answers
Answer:
The 2-yard pièce of cotton cloth for $13.26
Step-by-step explanation:
2 yards is 6 feet then it would be $2.21 per foot.
The 17 foot piece would cost $3.29 per foot.
To answer this question, you need to determine which one has a lower price per unit. In this scenario, you must divide the price of the cloths by their length in feet.
For the 2-yard piece of cotton cloth, first convert the length to feet. There are three feet in a yard, so the cloth is 6 feet. Then divide:
13.26/6=2.21
For the 17-foot piece of cotton cloth, simply divide:
55.93/17=3.29
The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.
Hope this helps!!
18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.
Answers
Answer:
So when u do (-4)-(-6) it equals 2.
But when u do (-7)*(-8) it equals 56
Therefore saying that (-7)*(-8)=56 is the greatest product.
Step-by-step explanation: