10. x² + 169 = 0
Algebra 2
Answer:
13i, -13i
Step-by-step explanation:
x^2=-169
169=(13)^2
x^2=-(13)^2
the square root of -1 is i ( imaginary number )
(-13)^2=(13)^2 so x is 13i and -13i
Answer:
13i
Step-by-step explanation:
So I would solve for x
This is zero term factoring
This is a square root factor and 169's square root is 13.
However we need to factor -169
This is where imaginary numbers come in. i= Square root of -1
13i would be the answer
enter the value of b when the expression 10x+b is equivalent to 2(5x-2)
Answer:
B =4
Step-by-step explanati
Please Find 23% of 40
Answer:
9.2
Step-by-step explanation:
THE POWER OF MULTIPLICATION
Ben and his three friends were ordering pizza. They could spend at most $26. If a large
cheese pizza costs $22 and toppings are $0.65 each, how many toppings could they
get?
Answer:
6 toppings
Step-by-step explanation:
The t in this equation represents the amount of toppings.
22 + 0.65t = 26
-22 -22
0.65t = 4
0.65t/0.65 = 4/0.65
t = 6
They could get 6 toppings and the total would be $25.90.
Suppose that the world's current oil reserves is R = 1820 billion barrels. If, on average, the total reserves
is decreasing by 18 billion barrels of oil each year, answer the following:
A.) Give a linear equation for the total remaining oil reserves, R, in billions of barrels, in terms of t, the
number of years since now. (Be sure to use the correct variable and Preview before you submit.)
R
B.) 14 years from now, the total oil reserves will be
billions of barrels.
C.) If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted (all
used up) approximately
years from now.
(Round your answer to two decimal places.)
Answer:
A. R = -18t + 1,820
B. 1,568 billions of barrels
C. approximately 101.11 years
Step-by-step explanation:
To make our equation, we'll use the form R = mt + b. M represents how many billion barrels of oil are being lost each year, which we know is 18 billion. So -18 will be our m. B is how many total barrels of oil there are, which is 1,820. So 1,820 will be our b. Now the equation looks like this:
R = -18t + 1,820
We can use this equation to answer Part B.
Replace the t with 14:
R = -18(14) + 1,820
Now solve for R:
R = -18(14) + 1,820
R = -252 + 1,820
R = 1,568
14 years from now, there will be 1,568 billions of barrels left.
To solve part C, we need to find how many years it will take for all of the oil to be used up. After it's all used up, the total amount of oil will be 0, so we can replace R with 0 and then solve for t:
0 = -18t + 1,820
Subtract 1,820 from both sides to isolate -18t:
0 - 1,820 = -18t + 1,820 - 1,820
-1,820 = -18t
Divide both sides by -18 to isolate the t:
-1,820/-18 = -18t/-18
101.11 = t
After approximately 101.11 years, all of the oil will be used up.
What is m∠A?
m∠A =
A. 66
B. 57
C. 113
Answer:
m∠A =
A. 66°
Step-by-step explanation:
∠C = ∠B
57 + 57 = 114
∠A = 180 - 114 = 66
Please helppppp?????!!!!!
9x10^7 is how many times as large as 3x10^-2
Answer:
3000000000 or 3x10^9 times bigger
Step-by-step explanation:
Power in mathematics is defined as the number you get when you get when you raise a number to an exponent
[tex]9 * 10^{7}[/tex] is 3000000000 or [tex]3 * 10^{9}[/tex] times as large as [tex]3 * 10^{-2}[/tex]
To calculate how many times [tex]9 * 10^{7}[/tex] is larger than [tex]3 * 10^{-2}[/tex] we would be dividing [tex]9 * 10^{7}[/tex] by [tex]3 * 10^{-2}[/tex] .This is expressed mathematically as:
[tex]\frac{9*10^{7} }{3*10^{-2}}[/tex]
= 3,000,000,000
or we express it as a power : [tex]3 * 10^{9}[/tex]
Therefore, is 3000000000 or times as large as
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5/8 x w = 9
So basically 5/8 x what equals 9
Answer:
not sure
Step-by-step explanation:
In the figure below, 7 || m. Find x
Answer:
80
Step-by-step explanation:
A math test has two parts. Both parts have the same number of questions. Rachael answered 2/3 of the questions correctly in the first part of the test, but she only answered 1/2 of the questions correctly in the second part of the test. Overall, she answered 21 questions correctly. What is the total number of questions on the test?
Answer:
Step-by-step explanation:
21=1/2 so if thats 21 the answer would be 2/3=34
the following chart shows the number of rows in an auditorium and the total number number of seats. what equation defines the number of seats with respect to the number of rows?
a. s=20r+100
b. s=40r+120
c. s=20r+60
d. s=20r
Answer:
The answer is c because 20(20) + 60 = 460 and if you plug in the number of rows for x and add the 60 you would always get the number of seats value.
The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the power one.
Given that;
The chart shows the number of rows in an auditorium and the total number of seats.
Since, The equation is satisfy the given numbers in chart.
So, Let an equation for chart;
s = 20r + 60
Where, s is number of seats and r is number of rows.
Now, Substitute the value of r = 20 for the number of first rows in above equation we get;
s = 20 × 20 + 60
s = 400 + 60
s = 460
And, For second row, r = 45
s = 20 × 45 + 60
s = 900 + 60
s = 960
Thus, The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
Learn more about the linear expression visit:
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2,000,000 + 900,000 + 50,000 + 4,000 + 100 + 60 + 1 in standard form?
Answer:
2,954,151
Step-by-step explanation:
Answer:
2954161
Step-by-step explanation:
i added a picture : Determine which of the lines, if any, are parallel or perpendicular. Explain.
write an equation of the line that passes through the given point and is perpendicular to the given line.
Answer:
1. line a and c and parallel. line b is perpendicular with line a and c. 2. line b and c and parallel. line a is perpendicular to lines b and c. 3. y= -3x + 3 4. y=(5/3)x - 9
Step-by-step explanation:
To find parallel and perpendicular, make the slope opposite and find b by plugging in the points. Parallel is the same slope.
Write the equation of the line that passes through the points (5,0) and (-6, -1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]
Step-by-step explanation:
We need to find equation of line in point slope form that passes through points (5,0) and (-6, -1).
The general equation of point slope form is: [tex]\mathbf{y-y_1=m(x-x_1)}[/tex]
where m is the slope of line.
We need to know Slope m
Finding Slope m
Finding Slope m using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=5, y_1=0, x_2=-6 \ and \ y_2=-1[/tex]
Putting values and finding slope
[tex]Slope=\frac{-1-0}{-6-(5)}\\Slope=\frac{-1}{-6-5}\\Slope=\frac{-1}{-11}\\Slope=\frac{1}{11}[/tex]
So , slope m is: [tex]\mathbf{m=\frac{1}{11}}[/tex]
Using point (5,0) and slope m =1/22 the equation of point-slope form is:
[tex]y-y_1=m(x-x_1)\\y-0=\frac{1}{11} (x-5)\\y=\frac{1}{11}x-\frac{5}{11}[/tex]
So, the equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]
79 pt to gal to qt to pt
Answer:
ty owo
Step-by-step explanation:
Answer:9.875 gal to 39.5 qt to 79 pt
Step-by-step explanation:
i tried but couldn't really understand what you were asking
use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.
PLS HELP
Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!
What is the noise that NASA published so called naming it the "sound of hell"
Answer:
Some spacecraft have instruments capable of capturing radio emissions. When scientists convert these to sound waves, the results are eerie sounds
Step-by-step explanation:
RIP KING VON
also subscribe to my channel paste this code on google and click the channel thats pops up first
UCaShoTLLOuuj9D4vqFtTpSQ
PLEASE HELP ASAP!!
14 POINTS
a. 6 1/6
b. 6 1/3
c. 6 2/3
d. 6 3/2
Plz help I made it extra points...
Answer:
a is a linear equation
Step-by-step explanation:
Plz help me solve this inequality! I’m timed!
Answer:
y > 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
3(y - 2) + 4(3 - 2y) < 6(3y - 1) - 11y
Step 2: Solve for y
Distribute: 3y - 6 + 12 - 8y < 18y - 6 - 11yCombine like terms: -5y + 6 < 7y - 6Add 5y to both sides: 6 < 12y - 6Add 6 to both sides: 12 < 12yIsolate y: 1 < yRewrite: y > 1Here we see that any number y greater than 1 would work as a solution.
URGENT HELP ME OUT PLEASE 20 points
What are the solutions to the quadratic equation?
Match the vocab word to the definition
what is the measure of each exterior angle of octagon
Answer:
required answer:-We know that in a octagon
numbers of sides=5
Let
value of each exterior angles =x
The sum of exterior angles=360°
ATQ[tex]{:}\leadsto [/tex][tex]\sf 5x=360 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf x={\dfrac {360}{5}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf x=72°[/tex]
[tex]\therefore[/tex]Measure of each exterior angle of a octagon is 72°.
Lindsay joins a weight loss program that has a membership fee of $20 plus $15 per month. Her friend joined another program that has a fee of $40 and charges $10 per month. In how many months will Lindsay and her friend's cost be the same? 4 months 8 months 80 months O 20 months
4 , 15 , 30 , 49 , 72 , 99 , 130 what is the nth term would really appreciate help
Answer:
30 i think
Step-by-step explanation:
Please help fast!!!
Answer:
C.
Step-by-step explanation:
(I MAY BE WRONG) srry if I was
Help please I don’t know this
Answer:
I have no idea, maybe google?
Step by step
Answer:
−7 ≤ x < 2
Step-by-step explanation:
help plz its due at 12!!
Answer:
Send this to a Tutor. They will help, and also when asking a tutor make sure you ask them for a backup explanation because they may be wrong
Answer:
144
Step-by-step explanation:
Since the triangle is equilateral all the sides are equivalent, meaning you can make any 2 sides equal to eachother
4x + 32 = 12x
32 = 8x
x=4
Replace the x of one of the sides
12(4) = 48
and since we are finding the perimeter multiply 48 by 3 since there are 3 sides
48(3)
144
I need HELPPPP!!!!! ASAPPPP
Answer:
<1 =100 (check explanation for why)
<2 = 80 (check explanation for why)
<3 = 100 (check explanation for why)
Step-by-step explanation:
You can get <1 from the given angle being a linear pair to <1, so:
180= 80+ <1
100= <1
You can get <2 from being a linear pair to <1, so:
180 = 100 + <2
80 = <2
You can get <3 from being a linear pair to <2
180 = 80 + <3
100= <3
Answer:
m<1= corresponding
m<2=vertical angle
m<3=consecutive interior angle
But i am not sure entirely.