Consider the line y=7x+4.
Find the equation of the line that is parallel to this line and passes through the point ( -3, 5)
Find the equation of the line that is perpendicular to this line and passes through the point ( -3, 5)
Answers
Answer:
parallel y=7x+26
perpendicular y=1/7x+32/7
Step-by-step explanation:
parallel line have the same slope
y-5=7(x-(-3))
y-5=7(x+3)
y-5=7x+21
y=7x+21+5
y=7x+26
perpendicular slope is the opposite of the original slope of 7
y-5=-1/7(x-(-3))
y-5=-1/7(x+3)
y-5=-1/7x-3/7
y=-1/7x-3/7+5
y=-1/7x+32/7
Related Questions
PLEASE HELP ITS DUE TODAY FOR A GRADE!!!!
Answers
Answer:
11
Step-by-step explanation:
Find the length of the hypotenuse of the right triangle with sides 9 and 6
[tex]a^{2} +b^{2} =c^{2} \\9^{2} +6^{2} =c^{2} \\81+31=c^{2} \\\sqrt{117} =c[/tex]
Use c and the height 2 to find the hypotenuse of the triangle with the dotted line
[tex]\sqrt{117} ^{2} +2^{2} =c^{2} \\117+4=c^{2} \\221=c^{2} \\11=c[/tex]
the dotted line is 11
Pls help me!
Which represents a measure of volume?
5cm3
5 square cm
5 cm
5 cm2
Answers
can someone plz help no links plz
Answers
Then we move to the parenthesis and do 4^2 second
That gives us 16 and since we are still in the parenthesis we subtract 16-13 next
Now we work from left to right so we do
8(3) next
Then 24 divided by three
Then 4(3)
Then last we add 33+12
Delta makes 12-volt car batteries. These batteries are known to be normally
distributed with a mean of 45 months and a standard deviation of 8 months.
What percent of Delta car batteries last between three and four years?
Answers
Answer:
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
Step-by-step explanation:
Step(i):-
Given that the sample size n =12 -volt car batteries
Let 'X' be a Random variable in a normal distribution
Given that mean of the normal distribution = 45 months
Given that the Standard deviation of the normal distribution = 8months
Step(ii):-
Let X₁ = 3 years = 12 × 3 = 36 months
[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125[/tex]
Let X₂ = 4 years = 12 × 4 = 48 months
[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375[/tex]
Step(iii):-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = P(-1.125≤Z≤0.375)
= P(Z≤0.375) - P(Z≤-1.125)
= 0.5 +A(0.375) - (0.5-A(1.125)
= 0.5 + 0.1480 - (0.5 -0.3708)
= 0.1480 + 0.3708
= 0.5188
Final answer:-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
Helpppppppp me pleases
Answers
Answer:
Try B
Step-by-step explanation:
y=2x-3 what is y if x is 4, -2, 100, 5, 2.6
Answers
y=(8)-3
y=5
someone help me answer this
Answers
Answer:
a = 65 yd is the answer.
Step-by-step explanation:
a = ?
b = 72 yd
c = 97 yd
According to the Pythagoras theorem,
a² + b² = c²
a² + 72² = 97²
a² + 5184 = 9409
a² = 9409 - 5184
a² = 4225
a = 65 yd
∴ a = 65 yd is the length of the missing leg.
please guys help please
Answers
Answer:
See attachment for plot
Step-by-step explanation:
The attachment has enough information to solve for only question (4).
Solving (4), we have:
[tex]W = (-1,-1)[/tex]
[tex]X = (4,1)[/tex]
[tex]Y = (4,5)[/tex]
[tex]Z =(1,7)[/tex]
Required
Reflect over the x-axis
When a point (x,y) is reflected over the x-axis, the resulting point is (x,-y)
i.e.
[tex](x,y) => (x,-y)[/tex]
So, we have:
[tex]W = (-1,-1)[/tex] ==> [tex]W' =(-1,1)[/tex]
[tex]X = (4,1)[/tex] ==>[tex]X' = (4,-1)[/tex]
[tex]Y = (4,5)[/tex] ==> [tex]Y' =(4,-5)[/tex]
[tex]Z =(1,7)[/tex] ==> [tex]Z' = (1,-7)[/tex]
So, we plot on a grid, the following points:
[tex]W' =(-1,1)[/tex]
[tex]X' = (4,-1)[/tex]
[tex]Y' =(4,-5)[/tex]
[tex]Z' = (1,-7)[/tex]
See attachment for plot
Brody created a map of his neighborhood using a scale of 2 inches = 3 blocks. If his street is 9 blocks long, how long will it be on the map?
Answers
Answer:
6 inches
Step-by-step explanation:
If 3 blocks equals 2 inches, then we must first find out how many times 3 can fit into 9. We do this by dividing 9 by 3 to get 3. To get your final answer just multiply 2 by 3 and you will get 6 inchs. I hope this helped :0
pls help willl give brainlist
Answers
Answer:
15.1666666667
Step-by-step explanation:
Solve for X. Assume that segments that appear to be tangent are tangent Round to the nearest tenth as necessary.
Answers
9514 1404 393
Answer:
11.1
Step-by-step explanation:
The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.
x^2 + 14.2^2 = 18^2
x^2 = 122.36
x = √122.36 ≈ 11.1
The length of the tangent is about 11.1 units.
Which of the following is a true proportion
Answers
A cylinder has a volume 8m cube and a height of 2m.find the base radius of the cylinder.
Answers
Answer:
1.12838m or 1.13m
Step-by-step explanation:
hope this helps
What is the value of the expression 6 3/4 (- 11.5)?
GO3
Answers
Answer:
-77.625
Step-by-step explanation:
How to find
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. Therefore, the value of the expression 6 3/4 (- 11.5) is -77.625.
Find the value of x. Round to the
nearest tenth.
26
12
х
X=
= [?]
Answers
Answer:
X = 5.9 (in degree mode)
Step-by-step explanation:
Do the following:
12(tan26) = X
Plugging this into a calculator, you will get:
X = 5.9 (in degree mode)
15 PTS!!! HELP IMMEATLEY
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?
Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.
Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
Select a card from a set of cards with the letters A through N, then spin this once.
Select a card from a set of cards with the letters A through D, then spin this once.
Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
Answers
Answer:
Select a card from a set of cards with the letters A through D, then spin this once.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
BEST ANSWER GETS BRAINLIEST !!!! Write the equation of the function graphed below:
Jo/y
9
8
7
6
5
4
3
2
X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
.
1 2 3
8 9 10
2.
-3
.
-6
-7
-8
-9
-10
Answers
Answer:
f(x)= 2 ³√x+4
Step-by-step explanation:
Thats the answer
The equation of the function is f(x) = 2∛x -4.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We will take two points from the graph substitute in each function.
So, the points are (0, -4) and (1, -2).
1. f(x) = ∛x -4
For x= 0
f(x) = ∛0 -4 = -4
and, For x= 1
f(x) = ∛1 -4 = 1 -4 = -3 (False)
2. f(x) = 2∛x -4
For x= 0
f(x) = 2∛0 -4 = -4
and, For x= 1
f(x) = 2∛1 -4 = 2 -4 = -2 (True)
3. f(x) = 2∛x +4
For x= 0
f(x) = 2∛0+4 = 4
and, For x= 1
f(x) = 2∛1 +4 = 2+4 = 6 (False)
4. f(x) = ∛x +4
For x= 0
f(x) = ∛0 +4 = 4
and, For x= 1
f(x) = ∛1 +4 = 1 +4 = 5 (False)
Thus, the required function is f(x) = 2∛x -4.
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Plz help me well mark brainliest if you are correct!
Answers
Write the equation that results from transmitting the absolute value equation down 4. Y=|x|
Answers
Answer:
y = |x| - 4
Step-by-step explanation:
this translates the function y down by 4 as is required
2. Half of Robert's piece of wire is equal to of Maria's wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?
Answers
Step-by-step explanation:
Given that,
Half of Robert's piece of wire is equal to of Maria's wire i.e.
[tex]\dfrac{R}{2}=M[/tex] ....(1)
Total length of the wires = 10 feet
ATQ,
[tex]R+M=10[/tex] ....(2)
Use equation (1) in (2).
[tex]R+\dfrac{R}{2}=10\\\\\dfrac{3R}{2}=10\\\\R=\dfrac{20}{3}\\\\R=6.67\ ft[/tex]
So,
[tex]M=\dfrac{6.67}{2}\\\\M=3.33\ ft[/tex]
Hence, this is the required solution.
a circle passes through the points o(0,0), a(8,4) and b(6,6). show that oa is a diameter of the circle and find the equation of the circle
Answers
9514 1404 393
Answer:
(x -4)² +(y -2)² = 20
Step-by-step explanation:
The circle is the circumcircle of triangle OAB. Then OA will be a diameter if angle OBA is a right angle. We can check that by looking at the slopes of AB and BA.
B-O = (6, 6)-(0, 0) = (6, 6) ⇒ slope = Δy/Δx = 6/6 = 1
A-B = (8, 4) -(6, 6) = (2, -2) ⇒ slope = -2/2 = -1
These slopes have a product of -1, so OB ⊥ BA. The hypotenuse (OA) of ΔOBA is the diameter of the circle.
Then the midpoint of the hypotenuse is the center of the circle.
C = (O +A)/2 = ((0, 0) +(8, 4))/2 = (4, 2)
The equation is ...
(x -h)² +(y -k)² = r² . . . . . circle with center (h, k) and radius r
The radius is the distance from O to C, so is ...
r² = 4² +2² = 20
and the equation of the circle is ...
(x -4)² +(y -2)² = 20 . . . . equation of the circle
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational
park on the west side of town. A community action group interested in preserving the environment claims that 45% of the town's
residents favor the development of a recreational park.
To determine whether the sample supports the
population proportion, a simulation of 100 trials is run, each with a
sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the
maximum sample proportion is 0.76.
What is the point estimate of the population?
The margin of error of the population proportion is found using an estimate of the standard deviation. What is the
interval estimate of the true population proportion?
The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
Is the community action group's claim likely based on either interval estimate of the true population proportion?
Explain.
Answers
The probability computed shows that the point estimate of the population is 6.2%.
How to calculate the probability?Divide the number of events by the number of possible outcomes. After determining the probability event and its corresponding outcomes, divide the total number of ways the event can occur by the total number of possible outcomes.
a. The point estimate of the population will be calculated thus:
= 62% = 62/100 = 0.62
b. The margin of error of the population will be:
= z value × [✓0.62 × ✓0.38 / ✓200]
= 1.96 × (0.78 × 0.61 / 14.14)
= 0.0672
Therefore, the interval estimate is 6.72%.
c. The margin of error of the population proportion is found using half the range will be:
= [0.76 - 0.46] /2
= 0.30/2
= 0.15
d. The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.
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Simplify the radical expression ⁴√625x¹²y⁸
Not sure if it's A or D PLEASE HELP
Answers
Answer:
Step-by-step explanation:
I think it could be D
Sorry if not correct
solve 4x-5/5=3
thankyou
Answers
Answer:
x = 1
Step-by-step explanation:
4x - 5/5 = 3
4x - 1 = 3
add 1 to each side of the equation:
4x = 4
divide both sides by 4:
x = 1
Answer:
4x=3+5/5
Step-by-step explanation:
like term
4x=8/5
20x/20=8/20
x=2/5
Please help me FAST (no links!)
Answers
Answer:
A.
Step-by-step explanation:
42/48=7/8
40/48=5/6
(お役に立てれば！)
please help solve x and z find the number for x and find what degrees is z
Answers
Answer:
x = 19
z = 102°
Step-by-step explanation:
✔️5x - 17 = 78 (vertical angles area congruent)
5x - 17 + 17 = 78 + 17
5x = 95
5x/5 = 95/5
x = 19
✔️78 + z = 180° (angles on a straight line).
78 + z - 78 = 180 - 78
z = 102°
Stanky I need help PLSS ASAPPP
Answers
Explanation: multiply 8 times 3.6= 28.8
Then divide 28.8 by 2 because you always have to divide by 2 when is a triangle
Answer:
I would say B
Step-by-step explanation:
sorry if the answer was wrong i am bad at math
The table shows the number of raisins found in 17 half-ounce boxes. Which line plot (dot plot) correctly displays the
data?
Answers
Answer: I think C.
Step-by-step explanation:
Which of these could you measure with a ruler?
A. the volume of water in a cup
B. the volume of cream in a cup of coffee
C. the length of a textbook
D. the weight of a watermelon
Answers
Length of a text can be measured with ruler. Therefore, option C is the correct answer.
What is Metric System?Everything around us has a measurement value, from the amount of sugar you put in a cake to the size of a football field. Each thing is measured differently based on its length, weight, volume, or duration. With these measurements, the idea of "Metric System" is introduced.
A ruler, sometimes called a rule, line gauge, or scale, is a device used in geometry and technical drawing, as well as the engineering and construction industries, to measure distances or draw straight lines.
Length of a text can be measured with ruler.
Therefore, option C is the correct answer.
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Answer:
C
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:the first one opn and qps
Step-by-step explanation: