Answer:
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = = -13
Step-by-step explanation:
Given that a = -1, b=2 and c= -3
find the value of a([tex]b^{2}[/tex]+[tex]c^{2}[/tex])
Just substitute the values given for each variable
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)([tex]2^{2}[/tex]+[tex](-3)^{2}[/tex]) ; do the exponents first
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = -13 ; and multiply by -1
Two trapezoids below are similar what is the length of RS?
9514 1404 393
Answer:
11.5 m
Step-by-step explanation:
The fact that the figures are similar means the side lengths are proportional:
RS/QT = BC/AD
RS/(7 m) = (2.3 m)/(1.4 m)
RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m
RS = 11.5 m
Please help!
If we write [tex]\sqrt{2} + \frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}}[/tex] in the form [tex]\frac{a \sqrt{2} + b \sqrt{3}}{c}[/tex], such that [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are positive integers and [tex]c[/tex] is as small as possible, then what is [tex]a+b+c[/tex]?
Answer:
[tex]a+b+c=9+8+6=23[/tex]
Step-by-step explanation:
Let’s first simplify our expression. We have:
[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]
For the second term, multiply both the numerator and denominator by √2. This yields:
[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]
Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:
[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
Hence, our expression is now:
[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]
Let’s combine them. First, we will need common denominators.
Our denominators are 2 and 3. So, our common denominator will be its LCM.
The LCM of 2 and 3 is 6.
Hence, let’s make each term’s denominator 6.
For the first term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]
For the second term, we can multiply both layers by 3. Hence:
[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]
For the third term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]
And for the last term, we can multiply both layers by 2. Hence:
[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]
So, our expression is:
[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]
Add:
[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]
Combine like terms:
[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]
This cannot be simplified. So, c is as small as possible.
Hence: a=9, b=8, and c=6.
Therefore:
[tex]a+b+c=9+8+6=23[/tex]
THE VOLLEYBALL TEAM WON 80% OF THE GAMES THEY PLAYED THIS SEASON. THE
TEAMPLAYED A TOTAL OF 25 GAMES. how many games the volleyball team won
Answer:
20 games won
Step-by-step explanation:
duh
Please help! I am struggling to understand this!
Answer:
x = 56°
Step-by-step explanation:
cos(x) = adjacent/hypotenuse
cos(x) = 5/9
x = [tex]cos^{-1}[/tex](5/9)
x = 56.25°
What is 53 percent of 49?
2.597
25.97
259.7
2,597
Answer:
25.97
Step-by-step explanation:
.53 x 49 = 25.97
i am in need of help
Answer:
(in the image)
Step-by-step explanation:
for the slope one - both triangle a and b have a slope of 5/3 (b's goes from 15/9 to 5/3 because of simplifying)
for the second one - 5/3=15/9 because the sides of both triangles correspond
My Answer to that:
5 - 3= 15 - 9 (Statement)- 5/3 = slope (Reason)
Definition of slope (Statement) - triangle A is similar to triangle B (Reason)
- sorry if wrong but that is the answer I would put
will give brainliest!!
Evaluate each expression when
a = 3 and b = 8.
Order the results from least to greatest.
5a - 6
b/2 + 4
ab - 17
6/a + b/4
b+1/a
a+1/4b
Answer :
a + 1/4b
6/a + b/4
ab- 17
b/2 + 4
b + 1/a
5a - 6
Step-by-step explanation:
5a - 6 = 9
b/2 + 4 = 8
ab - 17 = 7
6/a + b/4 = 4
b + 1/a = 8.5
a + 1/4b = 3.03125
Write an expression
Your cellphone costs $0.50 for the first minute and $0.35 for
each additional minute.
Answer:
0.50+0.35x
Step-by-step explanation:
Answer:
0.5+0.35m
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Mariana and Russell both went bowling last weekend, but not together. Mariana went during
open bowling time, paying $10 for shoe rental and $1 per hour. Russell went on family night,
when each hour was $2 and shoe rental was $3. As it turned out, they played for the same
number of hours and spent the same amount. How much did each one spend? How many
hours did each one bowl?
Mariana and Russell each spent $
and bowled for
hours.
Answer:
16
m=10 per hour=1
Step-by-step explanation:
HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.
Answer:
y= 30x
tep-by-step explanation:
WILL GIVE BRAINLIEST!!!!!!!
Write a quadratic equation with –6 and 5 as its roots.
While there are many quadratic equations using -6 and 5 as roots, the most simple would be the basic (x+6)(x-5)=0, or simplified, x² + x - 30 = 0.
Using these roots, all you have to do is make both sides of the equation and even both sides of the multiplied pre-product to equal 0. If using this format, x has to be equal to -6, and 5.
Alice backyard has 6.25 by 6.25m patio she would like to build a 1.5 M wide extension around three sides of the patio as the figure shows you will by 0.25 by 0.25 M tiles that come 25 tour package how many packages does Ellis need to buy in The extension
Answer:
To find the area of the extension, I'm going to find the total area (patio and extension) and subtract the patio.
Total area: length = 1.5 + 6.25 + 1.5 = 9.25 height = 1.5 + 6.25 = 7.75
Total Area = 9.25 x 7.75 = 71.6875
Area of the patio = 6.25 x 6.25 = 39.0625
Area of the extension = Total Area - Area of the patio = 71.6875 - 39.0625 = 32.625
Area covered by one box of tiles: 25 x 0.25 x 0.25 = 1.5625
Number of boxes needed: 32.625 / 1.5625 = 20.88 = 21 boxes
Step-by-step explanation:
graph y = 4x-9 please
Step-by-step explanation:
Just take two random points, always remember ,take x=0 and find his correspondent y
in this case y=4*0-9=-9
first point (0,-9)
second one:
take any x you want, I took 2 randomly, and y will be
y=4*2-9=8-9=-1
second point is (2,-1)
find these points on graph and connect them with a ruler ! And that is the line you are searching for!
We want to graph the line y = 4*x - 9.
The graph can be seen at the end of the answer.
To graph a given linear function, we need to find two points that belong to the function, and then connect them with a line.
To find the points we just evaluate the function in two different values of x, so let's do that.
For x = 0 we have:
y = 4*0 - 9 = -9
Then we have the point (0, -9)
For x = 1 we have:
y = 4*1 - 9 = 4 - 9 = -5
Then we have the point (1, -5)
Now we just can graph these two points on a coordinate axis, and connect them with a line.
The graph is shown below
If you want to learn more, you can read:
https://brainly.com/question/18196858
At a grand-opening sale, 20% of the first 500 customers won a prize. How many of the first 500 customers won a prize? A50 B100 C200 D1,000
Answer:The Answer is ________ Please Make sure You Put it In and Trust Have a wonderful day/Night:)
Step-by-step explanation:
Answer:
100.
Step-by-step explanation:
500/10=50 =10%
50 x 2 = 100 = 20%
I hope this helps :D
What is the solution to y=-7+13 and y=-1
y=12
I'm sorry if I'm wrong
kenya found that 6 out of 9 students in her class have sports practice today. Based on the results , how many of the 270 students in the school have practice today
Find the volume of this prism.
Please help!! And explain <3
(9×6/2) × 12 = 324
Explination:
The easiest way to understand what you're doing is to find the area of the base first, then extend it upwards to find the volume using height. Hence the equation: b×h=v
So how do we find the base of a triange? Remember that every single triangle can be calculated as a square, then cut in half. So 9 × 6 / 2 = 27 cm2
The next step is to calculate the volume using the height of the figure. 27 × 12 = 324 cm3
**remember to use the correct units, since area and volume are different.
Which of the following is a solution for 5 - 2x ≤ -3?
A. -4
B. 4
C. 1
D. -1
Answer: B
It's X [tex]\geq[/tex] 4
What is the y-intercept?
4
Answer:
A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)
Step-by-step explanation:
WHO KNOWS ALGEBRA 2 AND WANNA MAKE 30$
Answer:me please
Step-by-step explanation:
Answer:
I can try to help you for free but you didnt
post a question.
Look at the figure, . Find the length of . 36 m 42 m 106 m 78 m
the awnser is
4.0/5. 7. calculista
NEED HELP ASAP THANKS
Answer:
D. 7 1/2
Step-by-step explanation:
-3 divided by (-2/5) = 7 1/2
PLEASE HELP WILL GIVE BRAINLIEST !! :)
Answer:
69
Step-by-step explanation:
Because in 3x+15 x=18 and 3*18+15=69
What are all them pls i am stuck
Answer:
6. is proportional, 7. is not proportional, 8. is not proportional
Step-by-step explanation:
share £80 in the ratio 1:3:4
Answer:
£10, £30, £40
Step-by-step explanation:
Divide the share by the sum of the numbers in the ratio.
1 + 3 + 4 = 8
80 / 8 = 10
Multiply each number in the ratio by 10 to find the value of each share.
1 × 10 = 10
3 × 10 = 30
4 × 10 = 40
Answer:
Step-by-step explanation:
total ratio=1+3+4
=8
first part
1/8x 80euros=10euros
second part
3/8 x 80euros=3x10euros
=30euros
third part
4/8x80euros=4x 10 euros
=40euros
PLEASE HELP !!!
Help me simplify this expression.
Answer:
256x^2
Step-by-step explanation:
school and eat breakfast, and a 60% chance that she will be late for school or eat breakfast. What
is the probability that Elaine will eat breakfast
In a flash of sheer brilliance, Stefan invents a time machine! The machine uses a small nuclear reactor to generate the electricity it needs to travel back in time. There is a proportional relationship between how many years Stefan wants to travel back in time, x, and how much electricity (in megawatts) his time machine needs, y .
Answer:
[tex] y = x [/tex].
Step-by-step explanation:
Equation to represent the proportional relationship between years (x) and megawatts (y) is represented as [tex] y = kx [/tex].
Where k = constant of proportionality, which is y/x.
To find k, we can use the coordinates of any point on the line. Let's use (4, 4).
k = y/x = ⁴/4 = 1
Substitute k = 1 into [tex] y = kx [/tex].
✅Equation representing the relationship would be:
[tex] y = (1)x [/tex].
[tex] y = x [/tex].
3x^2y^2/6xy
please answer asap
Answer:
-3xy • (xy - 2)
Step-by-step explanation:
if ur supposed to be simplyfying it that should be the answer i think
Answer: 3xy⋅(xy−2) Your Welcome:)
:
Pleasee need help!!Calculate the value of x in the diagram.
A. 40°
B. 50°
C. 80°
D. 90°
Answer:
d
Step-by-step explanation:
Answer:
D. 90
Step-by-step explanation:
So you're given 130 degrees. that 130 angle and the angle inside the triangle next to it, are supplementary which means they add up to 180. So you have a 40 degree and a 50 degree angle + x. together they must add up to 180
40+50+x=180
90+x=180
x=90
