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
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.
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:
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 angle of elevation?
Answers
Answer:
Step-by-step explanation:
tan x° = [tex]\frac{3}{4}[/tex] ⇒ x° ≈ 36.87° ≈ 36.9°
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]
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
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.
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
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
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 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
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
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.
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
Find the slope of the line.
Answers
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
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:
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
(
85
)
+
(
35
36
)
(
−
4
)
=
E
V
85
36
−
140
36
=
E
V
−
55
36
=
E
V
E
V
≈
−
$
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
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)
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:
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!!
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
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
M=3 (-4,-7) PLease include steps!!( I will give brainliest)
Answers
Answer:
65
Step-by-step explanation:
Answer:
65
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.
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;
https://brainly.com/question/10413253
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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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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
Factor by Grouping
2y2 + 7yz + 5z2