Answer:
y = -3/4x - 2
Step-by-step explanation:
You put the equation in the slope-intercept form. Remember that the perpendicular slope is the negative reciprocal. You plug in the slope and the point into the slope-intercept formula. Solve for b then plug it into the final formula.
The equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
Here,
The point is (8, -8)
And, The equation of line is, 4x - 3y = 18
What is Equation of line?
The equation of line passes through points (x₁, y₁) and has slope m is;
y - y₁ = m₂ (x - x₁)
Now,
The point is (x₁, y₁) = (8, -8)
And, The equation of line is, 4x - 3y = 18
Put into the slope form as;
4x - 3y = 18
4x - 18 = 3y
y = (4/3)x - 6
Hence, Slope of the given line = 4/3
The slope (m₁) of perpendicular line relationship is;
4/3 * m₂ = -1
m₂ = -3/4
Hence, slope of perpendicular line (m₂) = -3/4
So, The equation of line by using point/slope form is;
y - y₁ = m₂ (x - x₁)
y - (-8) = -3/4 (x - 8)
y + 8 = -3/4 (x - 8)
4 (y + 8) = -3 (x - 8)
4y + 32 = -3x + 24
3x + 4y = -8
Hence, The equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
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Calcula: t15 + t25 Si se sabe que: 26; 31; 36; 41; …
Answer:
242
Step-by-step explanation:
Here, we want to calculate t15 + t25
Mathematically, nth term is
a + (n-1)d
here, a = 26 and d = 31-26 = 5
t15 = 26 + (15-1)5
t15 = 26 + 70
t15 = 96
t25 = 26 + (25-1)5
t25 = 26 + 120
t25 = 146
t15 + t25 = 96 + 146 = 242
*I WILL MARK YOU BRAINLIEST!!!* Whose football reaches a greatest height?
Answer:
Austin's football
Step-by-step explanation:
If you graph the equation for James's ball, you will find that the maximum height is at 5.125 feet. For Austin, it is over 8 feet. Therefore, Austin's ball goes higher. Hope this helps!
Answer:
austin's
Step-by-step explanation:
The value of the numerator of a particular fraction is one-half the value of its denominator. If the numerator is increased by 2 and the denominator is decreased by 2, the value of the resulting fraction is 3/4. What is the denominator of the original fraction? URGENT!
Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
help please
7^-1 x 7^5/7^6
Answer:7^-2
Step-by-step explanation:
7^-1(7^5/7^6)=7^-1*7^(5-6)=7^-1*7^-1=7^(-1-1)=7^-2
*
1. Find the measure of the indicated angle to the nearest degree.
?
O A. 31
O B. 51°
O C.37°
O D. 59°
Answer:
The answer is 37° (C)
Step-by-step explanation:
Ansley’s age is 5 years younger than 3 times her cousin’s age. Ansley is 31 years old.
Let c represent Ansley’s cousin’s age. What expression, using c, represents Ansley’s age?
Answer: the correct answer is 3c-5
Step-by-step explanation: I just solved it
Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.
How to compute the aboveAccording to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.
We can represent this mathematically as -
Ansley's age = 3 * Cousin's age - 5
Using the variable c to represent the cousin's age, the expression representing Ansley's age would be -
3c - 5
Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).
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Find the minimum value of C=x+3y
Answer:
c
Step-by-step explanation:
2x + 3y > 6 (1)
3x – 2y = 9 (2)
x + 5y = 20 (3)
From (1) and (2), we have:
(2x + 3y) - (3x - 2y) > 6 - 9
5y - x > -3 (4)
From (3) and (4), we have:
(x + 5y) - (5y - x) > 20 - (-3)
2x > 23
x > 12,5 (5)
From (3) and (5), we have:
x + 5y = 20 ⇔ 12,5 + 5y > 20
5y > 7,5
y > 1,5
So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5
Conclusion: C > 54,5
Help center of circle
Answer:
Center = (7, - 5)
Radius = 3
Step-by-step explanation:
[tex] {x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3[/tex]
What is the slope of a line that is perpendicular to the line in the graph?
Answer:
1
Step-by-step explanation:
The line in the graph has a slope of -1. The slopes of lines that are perpendicular have a product of -1 so the answer is 1.
Find the midpoint between the two points of the line in the image below.
Answer:
(-2,0.5)
Step-by-step explanation:
1st set of Point=(-5,-2)
2nd set of Point=(1,3)
Midpoint=(X1+X2/2 , Y1+Y2/2)
=(-5+1/2 , -2+3/2)
=(-2,0.5)
Which expression is equal to the expression below?
(7•2)
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.
Find the volume of the sphere. Round to the nearest tenth, if necessary. (Use π = 3.14)
113.0 in^3
339.1 in^3
28.3 in^3
113.0 in^2
Steps:
Shape: Sphere
Solved for volume
Radius: 3
Formula: V=4 /3πr3
1: know the height. We don't have to round to the nearest tenth. The correct answer for this question is 113.0.
Answer: 113.0
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Hope this helps.
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.
Answer:
B and E
Step-by-step explanation:
edge 2021 (??)
What steps would you take to determine if these figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by One-half.
Translate the intermediate image 4 units down. - CORRECT
Perform two different dilations.
Reflect the intermediate image. - CORRECT
Holly say 4.131131113 is a rational number which of the following best describes whether holly is correct and why
Answer: Holy is not correct
Step-by-step explanation:
Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's
Answer:
holly is not correct
Step-by-step explanation:
Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have thr same amount of money? What amount would you have the same ?
Answer:
15 weeks
The amount of money is 270
Step-by-step explanation:
You: 60 +14x
Sister: 120+10x
Set them equal to each other
60+14x = 120+10x
Subtract 10x from each side
60+4x= 120
Subtract 60 from each side
4x= 60
Divide by 4
4x/4 = 60/4
x = 15
15 weeks
The amount of money is 120+10*15 = 120+150 = 270
Answer:
15 weeks
$270
Steps:
1: 60+14x=120+10x
2: 4x=60
3: x=15 weeks
4: Amount= 60+14*15= $270
Description:
The first step is to get the money u have that is $60 plus it with the saving u have that is $14 answer will equal as 120+10x as a equation. Now simplify the equation 4x=60. You will get x=15 that will be the weeks. And now get 60+14 times it by 15 answer will equal as $270. So 15 weeks and $270 is the answer.
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Jack has a part time job selling clothes at a clothing store. He earns
$50 per week plus 10% of the value of her weekly sales. This week Jack
earned $250. What is the total value of his sales this week? *
Answer:
$2,000
Step-by-step explanation:
$250-$50=$200
$200*10=$2,000
1. Which point represents a value that is less
than -1 and greater than -5?
You had a goal to collect 50 cans for a food drive. You were able to collect 83 cans. What percent of your goal did you collect?
Answer:
you have 33 cans and so you have completed 166% of your goal
Step-by-step explanation:
I dont know
166 percent of the goal person as collected the cans.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, a goal to collect 50 cans for a food drive.
Person as collected 83 cans.
Here, x% of 50 =83
x/100 ×50 =83 (word "of" means multiplication)
x/2 =83
x=166 (Transpose 2 to RHS of the equation)
So, x=166%
Therefore, 166% of the goal person as collected the cans.
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I need help with this ASAP, please thank you
Answer:
Option A is the correct answer.
Step-by-step explanation:
Line is passing through the point[tex] (2, - 6) = (x_1, \: y_1) [/tex] and its slope is - 3.
Equation of line in slope point form is given as:
[tex] y-y_1 = m(x-x_1) \\
\therefore y-(-6) = - 3(x-2) \\
\huge \red {\boxed {\therefore y + 6 = - 3(x-2)}} \\[/tex]
Answer: A
Step-by-step explanation:
Point-slope form is the following: y - y1 = m(x - x1). So all that is needed is to substitute y1 for -6, x1 for 2, and -3 for m(the slope).
y - y1 = m(x - x1)
y - (-6) = -3(x - (2))
y + 6 = -3(x - 2)
Convert 1 1/3 to a improper fraction
Answer:
3 2/3
Step-by-step explanation:
Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator
The fraction 1 1/3 as an improper fraction is 4/3
How to write an improper fractionFrom the question, we have the following parameters that can be used in our computation:
Fraction = 1 1/3
When converted to an improper fraction, we have
Numerator = 3 * 1 + 1
Evaluate
Numerator = 4
The denominator remains the same
So, we have
Fraction = 4/3
Hence, the fraction is 4/3
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Sean has some candy bars that he wants to give away. He is going to give each person \dfrac18 8 1 start fraction, 1, divided by, 8, end fraction of a bar, and he has 2\dfrac342 4 3 2, start fraction, 3, divided by, 4, end fraction bars to give away. How many people will get candy?
Answer:
22 people
Step-by-step explanation:
Sean has 2 3/4 candy bars. That is 11/4 candy bars.
He wants to give out 1/8 candy bars.
The number of people that will get candy is:
[tex]\frac{11}{4} / \frac{1}{8}\\ \\= \frac{\frac{11}{4} }{\frac{1}{8}} \\\\\frac{11}{4} * \frac{8}{1} \\\\22[/tex]
22 people can get candy.
Answer:
22 people will get candy
Step-by-step explanation:
it's correct because I got it from khan academy
Solve this inequality.
8x + 6 less than or equel to 54
Answer:
[tex]x\le 6[/tex]
Step-by-step explanation:
We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)
Subtract 6 on both sides of the equation as :
[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]
Dividing both sides of the equation by 8 such that,
[tex]x\le 6[/tex]
So, the value of x is less than equal to 6. Hence, this is the required solution.
George gets a pay rise from £632 per week to £711 per week. What percentage pay rise was he given?
Answer:
12.5%
Step-by-step explanation:
£632 - 100%
£711 - ?%
?%= (711*100)/632 = 112.5%
112.5-100=12.5%
If angle P= 50 then angle R=
Answer:
it matters what the whole angles is.
Step-by-step explanation:
for example if it's a 180 degree angle P=50 then R would equal to 130 degrees
second example if P=50 and it's a 90 degree angle R=40
For anyone on OW, it's 130.
Find the domain of the graphed function A. 2 2 C. 1<= x <= 5 D. x is all real numbers
To make 100g of jam you need 19g of strawberries , 53g of blackberries and the rest should be sugar. what is the ratio of blackberries to sugar? give answer in simplest form.
Answer:
53:19:28
Step-by-step explanation:
Answer:
53:28
Step-by-step explanation:
the mass of sugar= 100-(53+19)
=100-72
=28g
therefore: ratio of blackberries to sugar is
=53g/28g
=53:28
find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis
Answer: C
Step-by-step explanation:
Reflection across x = -1
The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)
J = (0, 0) is 1 unit to the right of x = -1
J' = (-2, 0) is 1 unit to the left of x = -1
K = (1, 4) is 2 units to the right of x = -1
K' = (-3, 4) is 2 units to the left of x = -1
L = (3, 3) is 4 units to the right of x = -1
L' = (-5, 3) is 4 units to the left of x = -1
Reflection across x-axis
Change the sign of the y-value: (x, y) → (x, -y)
J' = (-2, 0) J'' = (-2, 0)
K' = (-3, 4) K'' = (-3, -4)
L' = (-5, 3) L' = (-5, -3)
Having problems with this
Answer:
45
Step-by-step explanation:
Since angles 4 and 2 are the same, we will have to do x+30 is = to 2x+15. After that x= 15. Substitute x in x+30. Which results in 45
Answer:
45°
Step-by-step explanation:
Corresponding angles are equal. ∠4 and ∠2 are equal.
[tex]x+30=2x+15[/tex]
Add -x and -15 on both sides of the equation.
[tex]30-15=2x-x[/tex]
[tex]15=1x[/tex]
∠4 = x+30
Put x as 15 in the equation.
[tex](15)+30[/tex]
[tex]=45[/tex]
6. What is the slope of a line perpendicular to the line whose equation is y = 2x -5?*
1) -2
2) 2
3) 1/2
4) -1/2
Answer: -1/2
You get y = 2x - 5, so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.