Answer:its c
Step-by-step explanation:
Translate the algebraic expression below into a written expression.
Answer:
b is the anwer of youre question
Answer:
B
Step-by-step explanation:
the plus sign means sum so that leaves you with the first two choices already
c has an exponent of two so that would be called squared, and that leaves you with the second one
What is the distance between (8, -3)and (4,−7)?
Answer:
+4sqrt(2)
Step-by-step explanation:
Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise"). Applying the Pythagorean Theorem, we get:
distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)
Yumiko has a rectangular-shaped patio. She wants to double the area of the patio by increasing the length and the width by the same amount.
The length is 14 and the width is 10.
a. Write a function, in factored form, to calculate the number of feet Yumiko would need to add to the length and width.
b. What are the dimensions of the patio, rounded to the nearest hundredth feet?
I am not very good with completing the square and would like to understand it better. Any help would be very appreciated!
Answer:
For a rectangle of length L and width W, the area is:
A = L*W
In this case, we start with:
L = 14ft
W = 10ft
Then the initial area is:
A = 14ft*10ft = 140ft^2
a) Now she wants to increase the same amount in each measure, then the new measures will be:
L = 14ft + x
W = 10ft + x
Now we want this new area to be twice the one that we got before, then the equation will be:
(14ft + x)*(10ft + x) = 2*140ft^2 = 280ft^2.
b) Let's solve the equation:
(14ft + x)*(10ft + x) = 280ft^2
First lets distribute the multiplication:
140ft + x*10ft + 14ft*x + x^2 = 280ft
Now let's group terms with the same power of x.
x^2 + (10ft + 14ft)*x + 140ft - 280ft = 0.
x^2 + 24ft*x - 140ft = 0.
Now we need to solve this quadratic equation, here we must use the Bhaskara equation for quadratic equations, and we will get two solutions for x.
[tex]x = \frac{-24ft +- \sqrt{(24ft)^2 - 4*140ft*1} }{2*1} = \frac{-24ft +- 33.7ft}{2}[/tex]
Then the two solutions are:
x = (-24ft - 33.7ft)/2 = -28.9 ft
This solution is negative, so it does not make sense and we can discard it.
x = (-24ft + 33.7ft)/2 = 4.85ft
This is positive, so we can use this.
Now we can find the new length and width:
L = 14ft + 4.85ft = 18.85ft
W = 10ft + 4.85ft = 14.85ft
HELP ME 10 points I NEED HELP TIMED
A line passes through the points (8,-1) and (-4, 2).
What is the y-intercept of this line?
-4
-1
1
4 ?????!
Answer:
y = (-1/4)x + 1 so that the y-intercept is 1
Step-by-step explanation:
The slope is (-1 - 2)/[8 - (-4)] = -3/12 = -(1/4)
(-1/4) = (y - 2)/(x + 4) => -x - 4 = 4y - 8
-x + 4 = 4y
y = (-1/4)x + 1 so that the y-intercept is 1
If the point (6, 9) is on the graph of an even function, what other point must also be on the graph?
Answer:
b/c it's an even function you know that f(x) = f(-x) too so whether you put in a positive X or a negative X you get the same answer so you know.. that (-6,9) is also on the graph of this function
Step-by-step explanation:
Given that the function is even and we know that (6, 9) is on its graph, we know that (-6, 9) must also be on the graph.
Even functions:
A function f(x) is even if:
f(x) = f(-x)
Now, we know that the point (6, 9) is on the graph of our function, this means that:
f(6) = 9
And because our function is even, we must have:
f(6) = f(-6) = 9
Then the point (-6, 9) must also be on the graph of the function.
If you want to learn more about even functions, you can read:
https://brainly.com/question/5719984
1-cos2a/1+cosa if 1/3 how much sin²a
Answer:
(1-cos2A) /(1+cos2A) =tan²A
Proof:
We know that,
cos(A+B) =cosA.cosB-sinA.sinB
=>cos2A=cos(A+A)
=>cos2A=cosA.cosA - sinA.sinA
=>cos2A=cos²A-sin²A
=>cos2A=(cos²A-sin²A)/(cos²A+sin²A
Since {cos²A+sin²A=1}
Divide the numerator & the denominator by (cos²A) to get,
cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}
cos2A ={(1-tan²A)/(1+tan²A)}
Then,
1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]
1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)
1-cos2A=(2tan²A)/(1+tan²A)
And now.......
1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]
1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}
1+cos2A=2/(1+tan²A)
So now,
(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}
={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}
=tan²A
Step-by-step explanation:
make me as brain liest
7y + 2x − 10y + 3x^2 − 10x.
Answer:
67
Step-by-step explanation:
Answer:
3x² - 8x - 3y
What is the slope of the line through (3, 2) and (-3, 4)?
3.4)
(32)
1
2
14
A. -3
O B.
O D. 3
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)
m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex] → C
The slope of the line is -1/3 through the points(3, 2) and (-3, 4) which is correct option (C).
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
From the given graph we can pick the points which can tell us about the nature of the line that slope of line is negative.
Given,
Points of line is (3, 2) and (-3, 4)
Let
x₁ = 3, y₁ = 2
x₂ = -3, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m = (4 - 2)/(-3 - 3)
m = 2/(-6)
m = -1/3
Hence, the slope of the line is -1/3
Learn more about Slope of Line here :
brainly.com/question/14511992
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PHOTO ADDED
NEED URGENT HELP
Answer:
A
Step-by-step explanation:
What is the area of this figure?
9 m
7 m
6 m
2 m
5 m
6 m
3 m
5 m
Write your answers using decimals, if necessary.
The total area of the composite figure made up of triangle, rectangle and square is; 106 m²
What is the Area of the Composite Figure?The area of the Triangle is;
A_t = (1/2) * (6 + 4) * 9
A_t = 45 m²
Area of Square;
A_s = 5 * 5
A_s = 25 m²
Area of Rectangle is;
A_r = 6 * 6
A_r = 36 m²
Total Area = 45 m² + 25 m² + 36 m²
Total Area = 106 m²
Read more about Area of Composite Figure at; https://brainly.com/question/10254615
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Solve the proportion 9/x = 18/5
Answer:
22.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Cross multiply:
9 * 5 = x * 18
Simplifying
9 * 5 = x * 18
Multiply 9 * 5
45 = x * 18
Reorder the terms for easier multiplication:
45 = 18x
Solving
45 = 18x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-18x' to each side of the equation.
45 + -18x = 18x + -18x
Combine like terms: 18x + -18x = 0
45 + -18x = 0
Add '-45' to each side of the equation.
45 + -45 + -18x = 0 + -45
Combine like terms: 45 + -45 = 0
0 + -18x = 0 + -45
-18x = 0 + -45
Combine like terms: 0 + -45 = -45
-18x = -45
Divide each side by '-18'.
x = 2.5
Simplifying
x = 2.5
-3 = 1 3/5 + m .
what is m
Answer:
m = -4 3/5 or -4.6
Step-by-step explanation:
First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.
hope this helped !! :D
The members of the Math team contributed a total of $9.10 for the party after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers.
Answer:
Number of possibilities
1) 91 members that contribute 1 dime each ($0.10)
2) 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)
3) 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)
Step-by-step explanation:
A dime = $0.10 in dollars
We are told that:
The total amount contributed = $9.10 for the party after their practice.
Each member contributed the same amount of money in dimes only.
Let the number of members be represented as: x
Number of possibilities
We find the factors of $9.1
= 1, 0.7, 0.13, 9.1
= 1 × 9.1
= 0.7 × 13
= 0.13 × 70
Hence:
1) $0.10 × x = $9.10
x = $9.10/$0.10
x = 91
Therefore, from the calculation above, there are 91 members and each of them contributed the same amount which was 1 dime ($0.10).
2)
7($0.10 )× x = $9.10
x = $9.10/$0.70
x = 13
Therefore, from the calculation above, there are 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)
3) 13($0.10) × x = $9.10
x = $9.10/$0.13
x = 70
Therefore, from the calculation above, there are 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)
x2 + 6 x+8 = 0
What is the factors
Answer:
Step-by-step explanation:
2/7x + 1/5x = 34 x= what?
Answer:
70
Step-by-step explanation:
[tex]\frac{2}{7}x +\frac{1}{5}x=34[/tex]
We need to combine like terms but since they are fractions we first need to find a common denominator. The common multiple of 5 and 7 is 35 so we need to multiply 7 by 5 and 5 by 7, but we have to do the same to the numerator too.
[tex]\frac{2*5}{7*5} +\frac{1*7}{5*7}[/tex]
[tex]\frac{10}{35}x+\frac{7}{35} x=34[/tex]
Combine like terms
[tex]\frac{17}{35}x=34[/tex]
Divide 34 by [tex]\frac{17}{35}[/tex]
[tex]\frac{34}{1} *\frac{35}{17} =\frac{1190}{17} =70[/tex]
0.3 km are in how many miles?
Answer:
There are 0.186411 miles in 0.3 km.
Need help!!!! Don’t understand how to do this!
NEED HELP FOR THIS QUESTION! PLEASE TAKE A LOOK AT IT!!
Answer:
90g strawberry jelly, 6 sponge fingers, 315ml custard and 45g tinned fruit
Step-by-step explanation:
just divide everything by 4 to see the value for one and then multiply that value by three!
At a local fitness center members pay an 8$ membership fee and $3 for each aerobics class nonmembers pay $5 for each aerobics class for what number of aerobics classes will the cost for members and nonmembers be the same
Answer:
4 aerobics classes
Step-by-step explanation:
8 + 3x = 5x
8 = 2x
4 = x
Can someone please help me?
Answer:
C
Step-by-step explanation:
4a+10=180
4a=170
a=42.5
42.5*2=85
Answer: C. 85.0 degrees
Step-by-step explanation: First you find a using the equation they gave you. A=42.5. Then you plug it into the measures of the angles. But just by looking at the angles you can tell 2a would be the largest so you just plug a in there and you get your answer!
its a geo match to the ? type thing
i need help on this problem im stuck on it
Answer:2.8
or
2.83333
Step-by-step explanation:
Given : A table is given to us . The table is ,
[tex]\begin{tabular}{|c|c|}\cline{1-2} \bf Day of week & \bf Minutes Spend \\\cline{1-2} Sunday & 23 \\\cline{1-2} Monday & 38 \\\cline{1-2} Tuesday & 42 \\\cline{1-2} Wednesday & 17 \\\cline{1-2} Thursday & 29 \\\cline{1-2} Friday & 10 \\\cline{1-2} Saturday & 11 \\\cline{1-2} \end{tabular}[/tex]
To Find : The total hours spend by Marisol on reading .
Solution : Total hours spend on reading will be equal to the sum of time taken by him each day on reading .
So , total time of reading will be ;
= (23 + 38 + 42 + 17 + 29 + 10 + 11) min
= 170 min .
= 120min + 50min .
= 2 hours 50mim .
[tex]\boxed{\red{\bf Correct\:option - [d]}}[/tex]
What do you think would happen if you kept writing zeros to the right of the decimal point in 1.000 and continued to divide ?
Answer:
The same thing would happen over and over again.
The 2 Johnson children are playing a game. The
game has 10 cards that are passed out. Each child
gets the same number of cards. How many cards
does each child get?
Answer:
each child gets 5 cards
Step-by-step explanation:
just do 10/2 and you get 5
Answer:
5 cards
Step-by-step explanation:
10 divided by 2 is 5
HELP ME PLS THIS IS URGENT ASAP PLS HELP ILL BRAINLISTTT
Answer:
1.) h • g4 • h = 4g•2h
2.) c • 4 • a •b = ab•4c
3.) (40)/(11•a)= (a•11)/40
4.) (20)/(4•x)= (x•4)/20
Step-by-step explanation:
Think of it as adding and flipping :)
A race is 20 miles long . There is water station every 1 1/4 miles along the race route. How many water stations are needed for this race ?
Answer:
16
Step-by-step explanation:
just divide 20 by 1 1/4
PLEASE ANSWER!! Quadrilateral PQRS is shown on the coordinate plane.
Answer:
i have no idea
dont spam "please answer" its not cool
The product of Greg's height and 5 is 90
Answer:
450
Step-by-step explanation:
is the answer
What is the value of A when we rewrite 4^x+3-4^x as A times 4^x
This looks simple I belive the answer would be 35 because 4^x + 31^x = 35^x
slove this for me please
Answer:
-10
Step-by-step explanation:
divide both sides by -4
simplify to v+8=-2
subtract 8 from both sides
v=-10