Answer: 25
Step-by-step explanation: (x-a)² = x² - 2ax + a²
From x² - 10x + k we deduce that 10x = 2·5x and a = 5
Then k = 5²2
Consider the equations below:
y = 2x and 6x = 3y + 5
Are the lines parallel or perpendicular?
A Parallel because the product of the slopes is -1.
B Parallel because the slopes are the same.
C Perpendicular because the product of the slopes
is -1.
D Perpendicular because the slopes are the same.
==========================================================
Explanation:
Let's solve 6x = 3y + 5 for y
6x = 3y + 5
6x-5 = 3y
3y = 6x-5
y = (6x-5)/3
y = (6x)/3 - (5/3)
y = 2x - (5/3)
This final equation is in the form y = mx+b with m = 2 as the slope and b = -5/3 as the y intercept.
With the equation y = 2x, aka y = 2x+0, the m and b values are m = 2 and b = 0 respectively.
We see that both equations have the same slope (m = 2), but different y intercepts. Therefore, the two lines are parallel. If both y intercepts were the same as well, then we'd be talking about the same identical line.
If the slopes multiplied to -1, then the lines are perpendicular. In any other case, the two lines are neither parallel nor perpendicular.
Express your answer as a mixed number in simplest form
Answer:
3×2+1 - 2×3+1
2. 3
7. - 7
2. 3
21-14
6
7
6
=2 3
7
Answer:
the answer is 7/6 it doesn't give a whole number
write the product in standard form: (3y-5)(3y+5)
Answer:
9y^2 - 25
Step-by-step explanation:
This is the product of the sum and difference of two squares:
(a - b)(a + b) = a^2 - b^2 (a formula well worth memorizing)
Therefore, (3y - 5)(3y + 5) = 9y^2 - 25, which is in standard form.
Determine the value of the variable that makes the equation true 1 /3a=−5
Answer:
a = -1/15
Step-by-step explanation:
1 / 3a = -5
3a = 1 / -5
3a = -1/5
a = (-1/5) / 3
a = -1/15
Hope that helps! :)
-Aphrodite
Solve for y.
y y
—— = ——
P-9 P+9
9514 1404 393
Answer:
y = 0
Step-by-step explanation:
Subtracting the right side gives ...
[tex]\dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}[/tex]
The factor multiplying y cannot be zero, so y must be zero.
The distance s s that an object falls varies directly with the square of time, t t, of the fall. If an object falls 16 16 feet in one second, how long for it to fall 256 256 feet
Answer:
It will take 16 seconds to fall 256 feet.
Step-by-step explanation:
The distance s that an object falls varies directly with the square of time t of the fall i.e.
[tex]s=kt[/tex]
Where
k is the constant of proportionality
An object falls 16 feet in one second, it means,
16 feet = 1 second
1 feet = (1/16) seconds
To fall 256 feet,
[tex]t=\dfrac{256}{16}\\\\t=16\ s[/tex]
So, it will take 16 seconds to fall 256 feet.
Find the solution of the system of equations.
4x-10y=0
4x-9y=-2
Answer:
{x,y} = {-5,-2}
Step-by-step explanation:
HELP PLEASE I SUCK AT THIS!<3
To the nearest gallon, what is the volume of a cylindrical water heater 1.4 feet in diameter and 4 feet tall (1 cubic foot=7.48 gallons)
The answer would be 46 gal.
can someone help me with my math pls
Answer:
Both 4x^2 and 64 are perfect squares
Step-by-step explanation:
If you are looking for the difference of squares, the two terms both have to be squares. We know that 64 is a square because it is 8 x 8. Also, we can say 4x^2 is a square because it can also be written as (2x)^2. We are basically looking for an option that tells us that they are square. This is option 1.
The second option is invalid because being an even number does not mean the number is a square.
The third option does not help the case much either. Just because there is a common perfect square factor, does not mean the numbers themselves are perfects squares.
Waldo and Freddy caught fish one weekend. The dot plots show the lengths of the fish they caught.
Which statement about the lengths of the fish caught by Waldo and Freddy appears to be true?
Answer:
C
Step-by-step explanation:
Freddy has a range of 22-15 while Waldo's range is 21-15. Thus, Freddy has a range of 7, greater than Waldo's 6.
The true statement is B. The median length of the fish caught by Waldo is greater than Freddy's.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
The data for Waldo's and Freddy's fish are not skewed to the right.
The median length of Waldo's fish is 18.82 inches and the median for Freddy's fish is 18.76, so the median length of waldo's fish is greater.
No need to check the other statements as only one statement would be true.
learn more about medians here :
https://brainly.com/question/28060453
#SPJ2
Use the net to find the size of the base and the height of each triangular face of this square pyramid. Enter your answers in the boxes.
Answer:
The answer is below
Step-by-step explanation:
The size of each box in the grid is 1 unit by 1 unit.
From the image, we can see that the size of the base of the square pyramid is 4 units by 4 units, hence:
Area of the base = 4 units * 4 units = 16 unit²
Also, as shown in the image, all the triangular face of the square pyramid are of the same size. the distance from the middle of the triangle base to the top of the vertex of the triangle is considered to be the height of the triangle. Hence, the height of each triangular face = 2 units
Solve – x2 + 5x – 2 = x2 - x by graphing. Round your answers to the nearest hundredth, if necessary.
The solutions are x =
and x =
Answer:
[tex] {}^{6} \sqrt{3a} = {}^{6} \sqrt{3a} \\ {}^{3} \sqrt{5a} = {}^{6} \sqrt{5 {}^{2} } a {}^{2} = {}^{6} \sqrt{25} \\ \sqrt{za} = {}^{6} \sqrt{2 {}^{3} } a {}^{3} = {}^{6} \sqrt{8a {}^{3} } [/tex]
What is the value of the expression 9 - 1/2 4 x 48?
1
3
6
9
Answer:
The answer is 7
Step-by-step explanation:
The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width?
Answer: It’s 6 meters
Step-by-step explanation:
if we know the area and the length we need to divide the two to get the width.
78 divided by 13. = 6
what is 20 percent of 9,500
Answer:
1900
Step-by-step explanation:
A ______________ divides a segment or angle in half.
slant
straight
line
bisector
middle line
Answer:
bisector
Step-by-step explanation:
A bisector divides a segment or angle in half.
Answer:
bisector
Step-by-step explanation:
please help! i promise ill give brainliest, tysm
Answer:
f(x) = x(x-1)
Step-by-step explanation:
The easy way to do this is to look at it graphically. an inverse function is reflected across the line y=x. f(x)=x(x-1) is an upward opening parabola when reflected, there are two y-values for all positive values of x. A function can only have one y for every x.
Answer:
2nd to the left
Step-by-step explanation:
Which rules define the function graphed below?
Use proportion to work out these problems.
In each question assume that the rate stays the same.
1 A car uses 20 litres of petrol to travel 160 km.
How much petrol does the car use to travel 400 km?
Answer:
50 litres
Step-by-step explanation:
If you think of it as a ratio, there are 20 litres to every 160 km. There are __ litres to every 400 km. To get to 400, 160 is multiplied by 2.5
So multiply 20 by the same number and you get the number of litres for 400 km.
20 * 2.5 = 50
The graph shows a line and two similar triangles.
What is the equation of the line?
y = 3 x
y = one-third x
y = one-third x + 2
y = 3 x + 2
Answer:
y=1/3x+2
Step-by-step explanation:
Jerome is painting a rectangular toolbox that is 20 inches by 10 inches by 8 inches. A tube of paint covers 300 square inches. Part B How many tubes of paint should Jerome buy?
Answer:
2.93 but rounding because he must purchase whole tubes: 3.
Step-by-step explanation:
So, to figure this out, we must recall the formula for sufrace area of a rectangle:
2*L*H+2*L*W+2*W*H
This is a bit long, so lets break it up into 3 seperate segments, and plug in values:
2*L*H
Plug in the values:
2*20*10
=
400
2*L*W
Plug in the values:
2*20*8
=
320
2*W*H
Plug in the values:
2*8*10
=
160
Now that we have solved for each segment, lets add them together to get our total surface area:
400+320+160
=
880
So this is the surface area.
Now, we know that a tube of paint covers 300 of the 880 surface area.
To find the exact amount, lets divide the 880 by the 300:
[tex]\frac{880}{300}[/tex]
Simply:
[tex]\frac{44}{15}[/tex]
This is sligthly less than 3, and doing it out, you actually get 2.93 with the 3 repeating.
Now we need to think about something. Lets say you are going to the grocery store, and you need 1.895893 lettuce. Do you think you will find 1.89 lettuce? No, you could get 1 or 2, but not 1.89 lettuce, that just doesnt make sense.
It is the same thing here, we have to round up. Note that when doing problems such as these, you will never round down. If you need 1.253 tubes of paint, you arent going to get 1. You are going to need 2. So note that you will always round up when you solving a problem like this.
So your answer is 3.
Hope this helps!
Solve it
[tex] \sf \: 5(x - 9) + 3(x + 4) = 2(x - 6)[/tex]
Answer:
[tex] \huge{x = \frac{7}{2} }[/tex]
Step-by-step explanation:
5(x - 9) + 3(x + 4) = 2(x - 6)
First expand the terms in the bracket
That's
5x - 45 + 3x + 12 = 2x - 12
Simplify
8x - 33 = 2x - 12
8x - 2x = 33 - 12
6x = 21
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{21}{6} \\ x = \frac{21}{6} [/tex]
Simplify
We have the final answer as
[tex]x = \frac{7}{2} \\ [/tex]
Hope this helps you
Answer:
x=3.5
Step-by-step explanation:
5(x-9)+3(x+4)=2(x-6)
5x-45+3x+12=2x-12
8x-33=2x-12
8x-2x=-12+33
6x=21
x=21÷6
=3.5
Hope it helps!!!
Find the center and radius of this circle. Write the equation of this circle in graphing form and general form. Show your work.
I will give brainliest.
Answer
5.0/5
18
Hulkk
Ace
973 answers
2.2M people helped
Answer:
The center of the circle;
(2, -1)
The radius of the circle;
r = 4
Step-by-step explanation:
The first step is to complete the square on both x and y;
x^2 + y^2 -4x + 2y - 11 = 0
x^2 -4x +y^2 +2y = 11
We determine c1 to complete the square on x;
c1 = (b/2)^2
c1 = (-4/2)^2 = 4
We then determine c2 to complete the square on y;
c2 = (2/2)^2 = 1
The equation of the circle is then re-written as;
x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1
We then factorize the expressions in x and y separately;
(x-2)^2 + (y +1)^2 = 16
The center of the circle is thus;
(2, -1)
The radius is the square root of 16;
r = 4
find the attached.
Find the slope of a line through the points: (1,6) and (2,8).
Find the y-intercept of the line y= 1/2x + 2
in a football game, josh lost 19 yards in the 1st play, gained 5 yards in the 2nd play gained 6 4th play. Which answer choice represents his TOTAL yardage for all 4 plays
answers in picture
Answer:
the second one
Step-by-step explanation:
i give brainlesss if u help me
Answer:
91,858
Step-by-step explanation:
This is the right answer
Answer: the answer is B hope it helps
Step-by-step explanation:
16,468 plus 75,390 = 91858
Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Elizabeth to end up with $670?
Help ASAP PLSSSS
Answer:4.2%
Step-by-step explanation: it’s what delta math told me the answer was
PLEASE HELP!!! IM DESPERATE!!! NO LINKS!!! If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
16.5 feet is the height of the house.
Can someone helpp me with this. I need this plzz. But it is for mathh.
Answer:
the value of the independent variable is 6
Answer:
6
Step-by-step explanation:
they are pretty much telling you to find the x-coordinate.
it is independent because the days do not depend on what the mass is, but the mass depends on what day it is.
sorry if this is confusing, have a good day!