Answer:
$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad\ frac{a}{c}\pm\frac{b}{c}=\frac{a\pm\:b}{c}$ Since the denominators are equal ...
Step-by-step explanation:
Addition and subtraction of complex numbers works in a similar way to ... Example 1- Addition & Subtraction. a. ... (6+3)+(7−5)j=9+2j ... 25 + 30j + 9(-1)` ... our final answer is real only (it does not contain any imaginary terms. ... above - we multiply top and bottom of the fraction by the conjugate of the bottom.
let me know if the question is incomplete! ill add it in the comments just in case.
question: if 0
Write the slope-intercept form of the following equation. Y +
2 = 3/2(x-4)
Answer:
y=3/2x-8
Step-by-step explanation:
Step 1: Begin by distributing the 3/2 to the parentheses. This would result with 3/2x-6.
Step 2: Subtract both sides by 2 to isolate the variable, y. This would result with y=3/2x-8.
Molly rewrote the equation as shown:
-50 + 11 = 8 - 3d
-5d + 11 + 3d = 8 - 30 + 3d
Which property did she use to rewrite the equation?
O addition property of equality
o distributive property
O multiplication property of equality
O substitution property
Answer:
addition property of equality
The decimal 5.2323… is a(n) _____number.
rational
irrational
integer
whole
Answer:
it is a rational number
Answer:
rational
Step-by-step explanation:
infinite decimal
recurring decimal
integer
Two farmers sell peanuts. The table and the graph below represent the two farmers where f(x) is the cost in dollars for x pounds of peanuts. What is the difference in the rate of change for the two functions
Answer:
number 2
Step-by-step explanation:
I will mark you
Given the relation: (0,0), (5,10), (6,12), (10,20) and based on the definition of function, is that relation a function?
Why or why not?
Answer:
Yes, because the x's do not have more than one y.
Step-by-step explanation:
x y
0 0
5 10
6 12
10 20
(That's meant to be a table). Looking at the x and y table values, you can see that none of the x's have two y's. So, this relation is a function.
Solve -2p + 10p = 7p for p.
Answer:
Step-by-step explanation:
-2x7+ 10x7
-14+70
70-14 ( there were more positives than negatives. so subtract the smaller number and you get)
56
no variable because it was replaced with 7.
Which equation does not represent a direct variation? Explain.
Answer:
y = 3x + 2
Step-by-step explanation:
"When x is zero in a direct variation equation y will also be zero. ... Equations of the form y = kx + b where b is a number other than zero are not direct variation equations because when x is zero in any of these y is not zero. Normally direct variation equations are written as y = k•x or just y = kx."
in short, y = 3x + 2 can't be turned into y = kx
you could also immediately tell it's y = 3x + 2 because it includes + 2
3
个
2x
38
V-2
24
丰
36
Z+88
X=
Answer:
no
Step-by-step explanation:
ni
nni
n
Find the x and y intercept of the line below
2x + 5y = 10
Answer:
x - intercept = 5
y- intercept = 2
Step-by-step explanation:
2x + 5y = 10
Write the equation in [tex]\frac{x}{a}+\frac{y}{b}=1[/tex] form
So, divide the equation by 10
[tex]\frac{2x}{10}+\frac{5y}{10}=\frac{10}{10}\\\\\frac{x}{5}+\frac{y}{2}=1[/tex]
x - intercept = 5
y- intercept = 2
Answer:
(5,0) and (0,2)
Step-by-step explanation:
Basically, all we need to do is enter 0 for both variables. We can do this because the y-value of an x-intercept will always be 0, and the x-value of a y-intercept will always be 0.
So, to find the x-intercept we can set y equal to 0 and then solve for x.
[tex]2x+5(0)=10\\2x=10\\x=5[/tex]
So the x-intercept will be (5,0).
We can do the same thing to find the y-intercept.
[tex]2(0)+5y=10\\5y=10\\y=2[/tex]
The y-intercept is (0,2)
Hope this helps!
Which property does this example show x + y + 0 = x + y
Answer: Identity Property of Zero
PLEASE HELP ASAP DUE In 5 MINUTES
Jacob started a savings account with a 1% annual simple interest rate. His principal deposit was $147. He saved the money for 6 years. How much interest did he earn after 6 years?
Answer:
The interest Jacob earns after 6 years is $8.82
Step-by-step explanation:
The given parameters are;
The simple interest rate of the savings account, R = 1%
The principal deposit to the savings account, P = $147
The time duration Jacob saved the money, T = 6 years
The formula for simple interest, I, is given as follows;
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Substituting the known values gives;
[tex]I = \dfrac{147 \times 1 \times 6}{100} = 8.82[/tex]
The interest Jacob earns after 6 years = $8.82.
An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.
Answer:
x² + 12
48m²
Step-by-step explanation:
Find the diagram attached.
The room can be segregated into two rectangles
The area of the room = Area of bottom rectangle + area of the top rectangle
Area of the bottom rectangle = x * (x-3) = x² - 3x
Area of the top rectangle = 3* (4+x) = 12 + 3x
The area of the room = x² - 3x + 12 + 3x
Area of the room = x² + 12
Hence the algebraic expression that the architect can use to find the area of the room is x² + 12
Given x = 6m
The area of the room = x² + 12
The area of the room = 6² + 12
The area of the room = 36 + 12
The area of the room = 48m²
Kimoni wants to purchase a pair of shoes that are on sale for 10% off the regular price
of $64.00. Which is the sale price of the shoes?
Answer:
the price of the pair of shoes are $57.60
Step-by-step explanation:
So you first need to find out what 10% is in $64 so your going to multiply 0.1 (10% in decimal form is 0.1 ) by 64 to get 10% of the original price.
64 * 0.1 = $6.40
so now we are going to subtract $6.40 from $64 for the sale price:
$64.00 - $6.40 = $57.60
so the sale price is $57.60
Please give the code word and the method as to how you did it
Answer:
1. true 2. true 3. false 4. false 5. false
15 + 15 + 10 + 10 + 10 = 60/5 = 12 ( CODE WORD)
Step-by-step explanation:
1. There are different forms of linear equations. Slope intercept has it's equation y = mx + b
2. A proportional relationship has a constant rate of change.
ex: y =2x +5, then the rate of change is 2 and it only ever rises by 2.
3. A proportional relationship must pass through the origin in order to be a proportional relationship.
4. The variable M in slope-intercept form represents the slope. B represents the Y-intercept.
5. Standard form for a linear equation is Ax+By=C. Y = MX+B is slope-intercept form.
CODE WORD: 12 or Twelve is correct because 12 is the mean of all 5 answers.
Find the slope of the line that passes through the point (4,8) and (3,-3)
WRITE YOUR ANSWER AS A DECIMAL AND ROUND TO THE NEAREST TENTH (1 decimal place)
Answer:
I don't think it's possible for this to be a decimal because the slope is positive 11.
Step-by-step explanation:
Use slope formula. x2-x1/y2-y1. Since we always go with the smaller x value we do 8-(-3) / 4-3/ We'll get 11 for 8-(-3) and we'll get 1 for 4-3/ so that leaves us with 11/1 which can't be simplified and has no decimal.
Which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function? (4 points)
Input
(x) Output
(y)
−5 7
−3 15
−1 23
? ?
Answer:
the answer is (1,31)
Step-by-step explanation:
As the x value increases by the y value increases by 8
Answer:
C. 1, 31
Step-by-step explanation:
Natalie walked 3\5 mile in 1\2 hour. How fast did she walk, in miles per hour?
Answer:
The answer is 6/5
Step-by-step explanation:
( 3 /5 )( 2 /1 )
(3)(2) /(5)(1)
6 /5
Hope this helps!
What happens when the smog lifts in Los Angles, California , (Please help me or just leave the answers in the Comments )
Answer:
gang wars
Step-by-step explanation:
Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?
The angle of elevation of a cloud from a point 60m above a lake is 30" and the angle of
depression of the reflection of the cloud in the lake is 60° find the height of the cloud from
the surface of the lake.
(THIS QUESTION IS FROM INDIA PRE BOARD EXAM)
Answer:
80 m
Step-by-step explanation:
Answer
answer
Answer
math sucks ugh need more help
Answer:
3 is the correct answer
Step-by-step explanation:
I believe this is correct.
Hope this helps!
Answer:
3) the vertex is moved to the left 7 units
Step-by-step explanation:
When a number is inside the () and is being added or subtracted it goes to the opposite of the sign if it is + it goes left if it is - it goes right however with linear functions it is + right - left
What is the gravitational PE of the same 61.2 kg person standing on the 6th floor (Each story is 2.5 m high)?
Answer: U is the change in PE, m is the mass raised through a distance h. So, given m = 61.2 kg, each 1 m rise is an increase of (61.2)(9.8) = 600 J. Likewise, each floor (2.5 m) represents a change in PE of 1500 J for this mass.
1. The base of an open rectangular tank is 3.2 m by 2.8 m. Its height is 2.4 m. It contains
water to a depth of 1.8 m. Cal culate the surface area inside the tank that is not in conta
with water.
Answer:
16.64 m
Step-by-step explanation:
Subtract the depth of the water from the height of the tank (0.6) and use this measurement for height instead. then calculate l•h•2+w•h•2+l•w
(we multiplied the length and height and the width and height by two since there’s two sides with the same measurement for each)
*
Simplify the expression:
(-6p+7). -4
Answer:
I'm assuming you need to distribute. When simplified the expression is 42p-28
Step-by-step explanation:
Answer:
24p-28
Step-by-step explanation:
Which equation represents the line that passes through the points (1, 1) and
(-4, 7)?
A. 5x + 6y = 11
B. 6x + 5y = 11
C. 6x - 5y = -11
D. 5x - y = -11
PLEASE HELP
ILL GIVE YOU BRAINIEST
Answer:
Option (B)
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line which passes through the points (1, 1) and (-4, 7) will be,
m = [tex]\frac{7-1}{-4-1}[/tex]
= [tex]-\frac{6}{5}[/tex]
By substituting the value of m in the equation,
y = [tex]-\frac{6}{5}x+b[/tex]
Since, this line passes through (1, 1),
1 = [tex]-\frac{6}{5}(1)+b[/tex]
b = [tex]1+\frac{6}{5}[/tex]
= [tex]\frac{11}{5}[/tex]
Therefore, equation will be,
[tex]y=-\frac{6}{5}x+\frac{11}{5}[/tex]
5y = -6x + 11
6x + 5y = 11
Option B is the answer.
Pls!!
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for x .)
1.5 yards
1.73 yards
3 yards
4.5 yards
You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answer:
4500
Step-by-step explanation:
10000 x .09 x 5
Which measure describes how much a sample mean varies when different samples are chosen?
Step-by-step explanation:
the most common measure of how much sample mean differ from each other is the standard deviation of the sampling distribution of the mean. this standard deviation is called the standard error of the mean