Answers
Answer:
The required equation of the line is:
[tex]y=\frac{1}{4}x-1[/tex]
Step-by-step explanation:
Given the equation
[tex]y=-4x+3[/tex]
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is -4.
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 1/4
Therefore, the point-slope form of the equation of the perpendicular line that also intersects the point (8, 1) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-1=\frac{1}{4}\left(x-8\right)[/tex]
add 1 to both sides
[tex]y-1+1=\frac{1}{4}\left(x-8\right)+1[/tex]
[tex]y=\frac{1}{4}x-1[/tex]
Related Questions
the diagram shows a right-angle triangle.
Answers
Answer:
Step-by-step explanation
The shortest length of the right-angled triangle is 4 cm.
What is a right-angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.
Given is, the diagram shows a right-angle triangle.
We have area of the right-angle triangle = 18 cm²
We know that area of a right-angle triangle = 1/2(base)(height)
18 = 1/2(x - 1)(x + 4)
36 = (x - 1)(x + 4)
x² + 4x - x - 4 = 36
x² + 3x - 4 = 36
x² + 3x - 4 - 36 = 0
x² + 3x - 40 = 0
x² - 5x + 8x - 40 = 0
x(x - 5) + 8(x - 5) = 0
x + 8)(x - 5) = 0
x = -8 or 5
we can only use positive numbers because length can't be negative,
Thus, x = 5
The shortest side is definitely one of the 2 legs. The hypotenuse of a triangle is the longest side.
Therefore,
height = x - 1 = 5 - 1 = 4 cm
base = x + 4 = 5 + 4 = 9 cm
Hence, the shortest length of the right-angled triangle is 4 cm.
learn more on right-angled triangle here:
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Identify each pair of angles as alternate interior, corresponding, alternate exterior, or none of these.
∠1 and ∠10
∠6 and ∠12
∠8 and ∠10
∠4 and ∠11
∠2 and ∠8
Answers
Step-by-step explanation:
Identification of given pairs of angles are as follows:
∠1 and ∠10: Corresponding angles
∠6 and ∠12: Alternate exterior angles
∠8 and ∠10: Alternate interior angles
∠4 and ∠11: Alternate interior angles
∠2 and ∠8: Alternate exterior angles
TRUE OR FALSE
The x-coordinate of the point at which the graph of an equation crosses the x-axis is a(n) x-intercept.
Answers
Answer:
TRUE
Step-by-step explanation:
GIVE ME BRAINLIEST
The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?
Answers
The actual distance between Oaxaca and Guadalajara, Mexico, is 984 kilometers. On a certain map, these two cities are 4 centimeters apartOn the same map, Guanajuato and Tijuana, Mexico, are 10 centimeters apart. What is the actual distance between Guanajuato and Tijuana ?
Answers
Answer: 2460 kilometers
Step-by-step explanation:
Actual distance between Oaxaca and Guadalajara = 984 kilometers
Distance between Oaxaca and Guadalajara on a map = 4cm
Distance between Guanajuato and Tijuana on a map = 10cm
The actual distance between Guanajuato and Tijuana will then be:
= 984/4 × 10
= 246 × 10
= 2460 kilometers
Find three consecutive even integers suche
that one half of their sum is between 15
and 21.
Answers
9514 1404 393
Answer:
10, 12, 14 and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question
Step-by-step explanation:
If x is the middle one, then their sum is 3x. You want ...
15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21
30 < 3x < 42
10 < x < 14
The only even integer in that range is 12, so the three integers are ...
10, 12, 14 . . . . . half their sum is 18
__
We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.
Select the correct answer. Which equation, when solved, gives 8 for the value of x?
Answers
The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.
[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]
[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]
[tex]-\frac{1}{4}x=-2[/tex]
[tex]x=8[/tex]
Which of the following is part of the solution to the trigonometric inequality img included over the interval img included radians?
Answers
Answer:
C: pi/4<x<5pi/4
Step-by-step explanation:
I just did the test
The solution of the trigonometric inequality will be equal to π / 4.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
What is trigonometry?
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given inequality is 3 - tanx ≥ 4 - 2tanx. The inequality will be solved as,
3 - tanx ≥ 4 - 2tanx
2tanx - tanx ≥ 4 - 3
tanx ≥ 1
tanx ≥ tan(π/4)
x ≥ (π/4)
Therefore, the solution of the trigonometric inequality will be equal to π / 4.
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The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each player in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.
Answers
Answer:
Step-by-step explanation:
Estimates are rough guesses based on current or previous prices. Therefore, it is impossible to conclude whether or not Trenton has actually raised enough money, especially if no actual price for the jackets has been provided. That being said an estimation is usually a close enough representation of the actual value, which would mean that the chances of having raised enough money (if that is what the estimates say) are pretty high.
a b c d ?? help me pleas and ty
Answers
Answer:
a
Step-by-step explanation:
Answer:
a is the answer hopw this helps
7 (3 - 0.5k) 3k - 5
Answers
Step-by-step explanation:
63k -10.5k square 2-5 and you have you answer
to increase an amount by 19% multiple by?
Answers
Answer:
1.19
Step-by-step explanation:
The original full amount is 100%.
When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.
To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19
Answer: 1.19
PLEASE HELP! BRAINLIEST FOR THE CORRECT ANSWER!!!
Answers
Answer:
i think
Step-by-step explanation:
18:63
14:15
13:7
12:6
a(b + c) = a • b + a • c, where a, b, and c are real numbers
Use the distributive property to simplify the expression.
8(3 + 4) = 24 +
Answers
Answer:
a(b + c) = a • b + a • c
=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32
Step-by-step explanation:
Answer:
The answer for the blank is 32
Step-by-step explanation:
Please help!! I’m stuck on this one haha
Answers
Answer:
Ready to help soon as we know what that "one" is
Answer:
hahaha where is the pic
Step-by-step explanation:
Michael is paid by the hour and gets overtime (OT) for every hour over 40.Last week he worked 52 hours. How many hours of OT did he get?*
A. 38
B. 92.
C. 26
D. 12
Answers
Answer:
12
Step-by-step explanation:
52 minus 40
Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent, how much will it cost her before tax to buy the blouse during the sale?
Answers
Given:
Original price of a blouse = $21.99
Sale = 25% off
To find:
The cost of blouse during the same before tax.
Solution:
Since Shelly's Boutique had a Labor Day sale featuring 25% off any item. It means price of each item in sale is 25% less than the original price.
[tex]\text{Price of blouse during sale}=21.99-25\%\text{ of } 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-\dfrac{25}{100}\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-0.25\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-5.4975[/tex]
[tex]\text{Price of blouse during sale}=16.4925[/tex]
Approximate the value to the nearest cent (2 decimal places).
[tex]\text{Price of blouse during sale}\approx 16.49[/tex]
Therefore, the cost of blouse during sale is $16.49.
Answer:
16.49
Step-by-step explanation:
WILL GIVE BRAINLIEST
Select all the correct answers.
Which relations represent functions?
Answers
Answer:
First and third relations represent functions.
Step-by-step explanation:
First and third relations are one-to-one and many-to-one respectively, therefore these are functions.
Second and fourth relations are one - to - many, thus they are not functions.
Answer:
first and third
Step-by-step explanation: just took the test like 5 secs ago
please help me in math
Answers
so you find the size difference inbetween each term which is -5 so you know there will be -5n in your formula so then you need to make n= 1 (for the first term) so that equals -5 but you want -3 so you need to find what + -5 equals -3 which is 2.
So now you know your answer is 2-5n
write the polynomial in standard form 3-3m+4m^{2} -1/2m^{6}
Answers
Answer:
[tex]3-3m+4m^2-\frac{1}{2} m^6[/tex]
Step-by-step explanation:
SAMB DOGRUS
4(2x-1)+3(2x+5)
4(2x - 1) + 3(2x+5)
Answers
Answer:
14x + 1
Step-by-step explanation:
4(2x-1)+3(2x+5) = 2x*4 - 1*4 + 2x*3 + 5*3
= 8x - 4 + 6x + 5
= 8x + 6x -4 + 5 {Combine like terms}
= 14x + 1
So what you should likely do first is distribute the 4 to the (2x-1), as well as distributing the 3 to the (2x+5). Then, you should end up with 8x-4+6x+15 once you have completed the distribution. After that, you should combine like terms so, 8x+6x to get 14x and then 15-4 to get 11 >>(NOTE: this can also be written as -4+15 which also gets 11, it just may be easier to see this as a subtraction problem in this sense), as a result you have 14x+11.
(I have work shown below)
Hope this helps!! :)
Josie walks 3/4 mile in 1/5 hour. What is Josie's speed in miles per hour?
Answers
QUICK WHAT IS0.034 is 110 of 0.0034.
Answers
Step-by-step explanation:
. We assume, that the number 10 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 10 is 100%, so we can write it down as 10=100%.
4. We know, that x is 0.034% of the output value, so we can write it down as x=0.034%.
5. Now we have two simple equations:
1) 10=100%
2) x=0.034%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
10/x=100%/0.034%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 0.034% of 10
10/x=100/0.034
(10/x)*x=(100/0.034)*x - we multiply both sides of the equation by x
10=2941.1764705882*x - we divide both sides of the equation by (2941.1764705882) to get x
10/2941.1764705882=x
0.0034=x
x=0.0034
now we have:
0.034% of 10=0.0034
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?
They intersect at one point.
They intersect at two points.
They have the same slope.
They have the same y-intercept.
Answers
Answer:
They intersect at one point
Step-by-step explanation:
I took the test and got 100%
Answer:
They have to intersect at one point
Step-by-step explanation:
Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?
Answers
Answer: y= 9
Step-by-step explanation:
B = (- 1, y)
We know that the slope is -7/5 which is rise/run
Thankfully the run is 5 which is the exact distance from 4 to -1 so we would need to apply -7 to 2 which would be 5
The answer is
B = (- 1, 5)
PLEASE help find measure of angle - TEst review today
Answers
Answer:
alternate exterior angles and lines are parallel so
10x is congruent to 11x-8
second question
alternate interior angles and lines are paralles so angles are congruent
50 raised to the power of zero
Answers
The manager of a garden store decides to hold a Buy 3, Get 1 Free sale on vegetable plants. The sale is held for one week and a total of 636
vegetable plants were sold (not including the ones given away for free). If each plant cost the store $2.90, how much money did the store lose
by giving away the free plants?
Answers
Answer:
the shop lost $922.20 by giving away free vegetable plants.
Step-by-step explanation:
you would start by dividing 636 by two to see how many free vegetable plants were given away.
636 / 2 = 318
this shows us how many free vegetable plants were given for free, so then to find how much money the store lost giving them away for free, you would multiply 318 by 2.9
318 x 2.9 = 922.2
Therefore the shop lost $922.20 by giving away free vegetable plants.
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
x = 1 1/2
x = -1 1/2
x = 1 1/4
x = -1 1/4
Answers
Answer:
A. x = 1 1/2
Step-by-step explanation:
Answer:
A. x = 1 1/2
Step-by-step explanation:
Find two possible next terms of a sequence 2, 8, ____, ____ that is neither geometric nor arithmetic.
Answers
9514 1404 393
Answer:
one possible pair of next terms: 0, 1a second possible pair of next terms: 14, 32Step-by-step explanation:
The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.
The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.
Any pair of numbers can be used that is not (14, 20) or (32, 128).
The next two terms could be 0 and 1, or they could be 14 and 32.
2, 8, 0, 1 . . . is a sequence of no particular type
2, 8, 14, 32 . . . is a sequence of no particular type