Given:
Line a is perpendicular to line b .
Line a passes through the points (1,-8) and (9,-12) .
Line b passes through the point (-8, -16).
To find:
The equation of b.
Solution:
Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m_a=\dfrac{-12-(-8)}{9-1}[/tex]
[tex]m_a=\dfrac{-12+8}{8}[/tex]
[tex]m_a=\dfrac{-4}{8}[/tex]
[tex]m_a=-\dfrac{1}{2}[/tex]
Product of slopes of two perpendicular lines is -1.
[tex]m_a\times a_b=-1[/tex]
[tex]-\dfrac{1}{2}\times a_b=-1[/tex]
[tex]b=2[/tex]
Slope of line b is 2.
If a line passing through a point [tex](x_1,y_1)[/tex] with slope m, then equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
Line b passing through (-8,-16) with slope 2. So, equation of line b is
[tex]y-(-16)=2(x-(-8))[/tex]
[tex]y+16=2(x+8)[/tex]
[tex]y+16=2x+16[/tex]
Subtract 16 from both sides.
[tex]y=2x[/tex]
Therefore, the equation of line b is [tex]y=2x[/tex].
If m27 = 55°, which of the following statements are true? Select all that apply.
2
3
4
5/6
8
A m26 = 55°
B
m25 = 135°
Cm21 + 24 = 250°
Dm21 + m26 = m 27+ m24
Answer:
2, 3 , 5/6, b
Step-by-step explanation:
x² = 35
show your work
Answer:
x=±√35
Step-by-step explanation:
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±√35
The complete solution is the result of both the positive and negative portions of the solution.
The lines AB and CD are perpendicular to each other. If the slope of line AB is 2/3 then what is the slope of line CD
Answer:
-3/2
Step-by-step explanation:
you can find the perpendicular slope by putting the slope in 1/-m. M is the current slope you have or really you can flip it and change the signs so for example, 1/-(2/3) = -3/2
The slope of line CD is = -3/2
What are Perpendicular lines?A perpendicular is a straight line that makes an angle of 90° with another line.
Given that the lines AB and CD are perpendicular to each other, the slope of line AB is 2/3.
Slope of perpendicular lines are negative reciprocal of each other, so,
Hence, The slope of line CD is = -3/2
For more references on Perpendicular lines, click;
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a=4, b=2 and c=-3
who wanna tell me the answer lol my Photomath won’t tell me
Answer:
-23
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
Just plug in the values of the variables into the expression. You'll get -4(10)/2 - 3. That equals -20 - 3, or -23.
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses. If there are no possible solutions, submit an empty answer.
Answer:
There is no way.
Step-by-step explanation:
4 x 53 = 212.
460 - 212 = 248.
The mininmum adult tickets you would need is 29 but that would go over the capacity
if the temperature is 50 degrees Fahrenheit what is the temperature in celsius
Answer:
10.00 °C
Step-by-step explanation:
Answer:
50 degrees Fahrenheit is 10 degrees Celsius
Step-by-step explanation:
(50°F − 32) × 5/9 = 10°C
You start at (10, 1). You move down 1 unit and left 7 units. Where do you end?
Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.
Moving left or down causes the coordinates to be going negative.
Moving right or up causes the coordinates to be positive.
Original point (10, 1).
Down 1 unit:
(10, 1 - 1) = (10, 0)
Left 7 units:
(10 - 7, 0) = (3, 0)
You end at (3, 0)
What are the solutions of this quadratic equation?
X2– 6x= – 58
Answer:
Solve the rational equation by combining expressions and isolating the variable
X
.
X
=
√
2
(
3
x
−
29
)
X
=
−
√
2
(
3
x
−
29
)
Step-by-step explanation:
Answer:
No real Solutions
Step-by-step explanation:
Step one: The coefficient on -6x is -6. So b= -6
Step two: Add (b/2)^2 to each side. in our case it is 9
x^2-6x+9= -49
Step three: Factor left side
(x-3)^2 = -49
Step four: take the square root
x-3 = ±√-49
Step five: add 3 to both sides
x = 3 ± √-49
So there is no real solutions
The graph of a quadratic function, y=x?. is reflected over the x-axis. Which of the following is the equation of the
transformed graph?
Answer:
x = -y
or
-y = x
Step-by-step explanation:
since you reflect it over the x axis, the y changes to a negative
Answer:
its A on edgy
Step-by-step explanation:
Write two numbers that multiply to the value on top and add to the value on bottom.
-72
Х
o
+
1
3a+4b=5a-t Solve for a PLS help!!
Answer:
a= -t-4b/-2
Step-by-step explanation:
Answer:
(4b+t)/2=a
Step-by-step explanation:
3a+4b=5a-t
3a+4b+t=5a
4b+t=2a
(4b+t)/2=a
NEEDDDD HELP WILL MARK BRAINLIEST
Answer:
d hopes this helps'
Step-by-step explanation:
Answer:
A (the first one)
Step-by-step explanation:
How would I do this using Volume and units. I will mark Brainiest
Answer:
Sphere:
V=[tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]V≈523.6 [tex]cm^{3}[/tex]Cone:
V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]V≈41.89 [tex]cm^{3}[/tex]
[tex] |3x - 6| + 3 < 15[/tex]
Solve each inequality. Graph the solution.
what is the distance between the points (0,-1) and (8,7)
[tex]Distance=\sqrt{(x_{2}-x_{1})^2(y_{2}-y_{1} )^2} \\\\\sqrt{(8-0)^2(7-(-1) )^2}\\\\\sqrt{8^2+8^2} \\\\\sqrt{64+64}\\\\ \sqrt{128} =8\sqrt{2} \\\\[/tex]
Answer:
11.3
Step-by-step explanation:
11.3
Avery and Carmen both have summer jobs Avery gets paid $360 every four weeks, and gets paid $480 every six weeks summer break lasts a total of 12 weeks who earn more money during summer break every earns dollars per week Carmen earns dollars per week
Answer:
Avery earns $1,080 during summer
Avery weekly earnings = $1,080 / 12
= $90
Carmen earns $960 during summer
Carmen weekly earnings = $960/12
= $80
Carmen earns more money during summer break
Step-by-step explanation:
Avery payment = $360 every four weeks
Carmen payment = $480 every six weeks
summer break lasts a total of 12 weeks
Avery pay during summer = Total summer break weeks / 4 weeks × payment per 4 weeks
= 12 / 4 × $360
= 3 × $360
= $1,080
Carmen pay during summer = Total summer break weeks / 6 weeks × payment per 6 weeks
= 12 / 6 × $480
= 2 × $480
= $960
Avery earns $1,080 during summer
Avery weekly earnings = $1,080 / 12
= $90
Carmen earns $960 during summer
Carmen weekly earnings = $960/12
= $80
Carmen earns more money during summer break
Answer:
Step-by-step explanation:
Avery earns $1080 in 12 weeks
Carmen earns $960 in 12 weeks
Chloe has 18inches of red licorice.Reid has 6inchex of red licorice. what fraction of a yard of red licorice do Chloe and Reid have together. use numbers pictures or Words to show your thinking
Answer:
2/3
Step-by-step explanation:
Chloe = 18inches of red licorice.
Reid = 6inches of red licorice
Total = 18 inches + 6 inches
= 24 inches
what fraction of a yard of red licorice do Chloe and Reid have together
Chloe and Reid have 24 inches altogether
1 yard = 36 inches
Fraction = 24 inches / 36 inches
= 2/3
How many hours are in 17 years? Write your answer in scientific notations with 3 sig figs.
Sig figs are: are the number of digits in a value, often a measurement, that contributes to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.
Answer:
1.49 x [tex]10^{5}[/tex] hours
Step-by-step explanation:
1 day=24hours
1 year=365 days
365days=24 x 365=8760hours
17 years
= 8760hours x 17
=148920hours
=1.4892 x [tex]10^{5}[/tex]
= 1.49 x [tex]10^{5}[/tex] hours
Answer:
1.49 x hours
Step-by-step explanation:
1 day=24hours
1 year=365 days
365days=24 x 365=8760hours
17 years
= 8760hours x 17
=148920hours
=1.4892 x
= 1.49 x hours
Donner un encadrement d’amplitude 10^-p des réels donner, l’entier p étant précisée pour chaque cas
What is the equation of function g
Answer:
i needed points to ak a question
Step-by-step explanation:
A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
Answer: 19.26
Step-by-step explanation: 7% is $1.26, so just add 1.26 and 18.
Answer:
19.36 dollars is the answer
Step-by-step explanation:
find the rate of change for the table, then fill in the blank boxes with the correct values
Answer:
Rate of change: +2 for x values and +20 for y values
Missing x values:6
Missing y values:60,80,100
What is the definition of liquidity?
ERRE
how difficult it is to maximize returns on investments
how much money someone has in a savings account
how easily an investment can be exchanged for cash
how much income someone has to invest each year
Answer: The answer is the third option (How easily an investment can be exchanged for cash)
Step-by-step explanation: I got 100% on this quiz on Edge, I’m 3 weeks late to answering this, but I hope It helps somebody :)
Answer:
C. How easily an investment can be exchanged for cash.
Step-by-step explanation:
2540 centimeters are equal to how many inches ?
Answer:1000
Step-by-step explanation
There are 1000 inches equal to 2540 centimeters
Unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
To convert centimeters to inches, we have to use the conversion factor 1 inch = 2.54 cm.
To determine how many inches are in 2540 cm, first we divide 2540 by 2.54:
2540 cm ÷ 2.54 = 1000 inches
Therefore, we can conclude that 2540 centimeters are equal to 1000 inches.
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Which equation correctly applies the distributive property?
−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045
50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
Answer:
the last one
Step-by-step explanation:
In the last one, it takes all of the numbers in the one parentheses and distributes it to the 0.5.
Look at the picture. (sorry for the messy writing)
Answer:
last one
Step-by-step explanation: i did the quiz
This is IXL plz help !!
Answer:
A = 3.14
Step-by-step explanation:
Your equation is πR²
so 3.14(1²)
Which gives you 3.14
Answer:
A=3.14 square meters
Step-by-step explanation:
Use the equation A=3.14*r^2.
Sub in the numbers you know so 1.
A=3.14*1^2
Simplify.
A=3.14 square meters
how do you find the LCM??
Look at the multiples of the two numbers and find the lowest one that matches e.g.
7 = 7, 14, 21, 28
4= 4, 8, 12, 16, 20, 24, 28
28 is the LCM of 7 and 4
Answer:
Step-by-step explanation:
one away to find to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number . if the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
What 100000654 divided by 89765
Answer:
1114.027
Step-by-step explanation:
USE FOR MASTERY Number of attempts allowed: 1 Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3, 4, or 5, such that no digit can be used more than once and that the two rational numbers are the greatest distance apart on the number line. Explain how you got this answer.
Answer:
We want to craft:
a/b and c/d
where a, b, c and d can be 2, 3, 4 and 5.
Such that the distance in the number line between these two numbers is maximized.
Then we want one number to be really small, and the other to be really large.
Remember two things:
for numbers like a/b.
if a is smaller than b, then a/b is smaller than 1.
Now, if a is larger than b, then a/b is larger than 1.
And two things,
1/10 = 0.1
10/1 = 10
So when the numerator is larger, the distance displaced in the number line is larger.
Then we want to have:
a number where the numerator is the largest option and the denominator is the smallest option:
a/b = 5/2
And the two remaining options in such way that the numerator is smaller than the denominator:
c/d = 3/4.
The distance between these two numbers is:
D = 5/2 - 3/4 = 10/4 - 3/4 = 7/4.
Fill in the table with the rule y = 2x-2 X: -3, -2, -1, 0, 1, 2, 3, 4 Y: _, _, _, _, _, _, _, _.
Answer:
-8, -6, -4, -2, 0, 2, 4, 6
Step-by-step explanation: