Answer:
x = √11
Step-by-step explanation:
(x + 3)(x - 3) = 2
=> x² - 3x + 3x - 9 = 2
=> x² - 9 = 2
=> x² = 11
=> x = √11
Hoped this helped.
Factor the following polynomial completely. x2n – y2n
Answer:
(x/y)^2n-2n
(x/y)⁰
=1
since any number raised to power of 0 is 1
The teachers had to transport 165 students by bus on a field trip. Each bus holds 64 students. How many buses do they need to order?
Answer:
B
Step-by-step explanation:
Divide the number of students by the capacity of each bus
. 165 / 64 = 2 (busses) + 37/64 (remainder)
165 students
each bus= 64 students
to find:how many buses they need to order in order to take 165 students.
solution:[tex] \frac{165}{64} [/tex]
[tex] = 2.578125[/tex]
[tex] = 2 \frac{37}{64} [/tex]
hence, the correct answer is option B.
2) Write the following equations in the statement form.
a) 2a + 7 = 15
b) 4m - 6 = 2
pls I need help
Answer:
A) a = 4
B) m = 2
Step-by-step explanation:
A) 2a + 7 = 15
2a + 7 - 7 = 15 - 7
2a = 8
2a/2 = 8/2
a = 4
B) 4m - 6 = 2
4m - 6 + 6 = 2 + 6
4m = 8
4m/4 = 8/4
m = 2
Answer:
a = 4 and m = 2.
a) Find the value of a if the total of a being doubled and added to 7 is 15.
b) Find the value of m if the total of m being multiplied by 4 and being subtracted by 6 is 2.
Step-by-step explanation:
2a + 7 = 15
→ Minus 7 from both sides
2a = 8
→ Divide both sides by 2
a = 4
4m - 6 = 2
→ Add 6 to both sides
4m = 8
→ Divide both sides by 2
m = 2
y=mx+b
y=2/5x + b
b=?
Answer:
y=b+2x/5 in slope- intercept form.
Step-by-step explanation:
Hope this helps :)
Please help mehhhhhh T^T
Answer:
Step-by-step explanation:
We can see the graph has an y intercept of 1 and from there the slope goes up one and to the right one so the slope is 1
a
What is the equation of the line that passes through the point (3, 2) and has a slope
of 2/3?
Answer:
y=2/3x
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (3,2) and has a slope of 2/3
We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we are already given the slope, we can substitute it into the equation as m
y=2/3x+b
Now we need to find b
Since the equation passes through the point (3,2), we can plug its values into the equation to solve for b
Substitute 3 as x and 2 as y into the equation:
2=2/3(3)+b
Multiply
2=2+b
Subtract 2 from both sides
0=b
Substitute 0 as b into the equation
y=2/3x+0
Simplify:
y=2/3x
Hope this helps!
Find the perimeter.simplify your answer.
The perimeter of a shape is the sum of its side lengths.
The perimeter of the shape is 24z - 18
Represent the length with l and the width with w.
The dimensions are given as:
[tex]l = 10z[/tex]
[tex]w = 2z - 9[/tex]
So, we have:
[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter
The above equation becomes
[tex]P = 2 \times (10z + 2z - 9)[/tex]
Evaluate like terms
[tex]P = 2 \times (12z - 9)[/tex]
Open brackets
[tex]P = 24z - 18[/tex]
Hence, the perimeter of the shape is 24z - 18
Read more about perimeters at:
https://brainly.com/question/397857
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answer:
B
Step-by-step explanation:
X menas time, so we posisionate this in the axis, you begin with 2 dollars, and increase the cost with the time, hope this hlps :)
Please please help:(((((
I will give brainliest
Answer:
<AMC=75°Step-by-step explanation:
if <C=90 and <B = 30, then <A=60 (because <A+<B+<C=180, as ABC is a triangle)
if CM is a angle bisector then it divides <C in half, so <ACM=<MCB=45
since <ACM=45;
<A = 60;
then <AMC = 180-(45+60),
<AMC = 180-105,
<AMC = 75.
Please help. Will give brainiest.
Write the equation of the line, in point-slope form. Identify (x 1 , y 1 ) as the point (-2, 2). Use the box provided to submit all of your calculations and final answers.
y-2=(-x+2)
point slope
equation is
y-y1=m(x-x1)
encuentre el sistema de desigualdades que describe la region sombreada
What is 4.06 increased by 17?
please help me
Answer:
21.06
Step-by-step explanation:
4.06 increased by 17
4.06 + 17
21.06
How many times can you subtract 10 from 100?
(hint hint, trick question)
Answer:
1 time
Step-by-step explanation:
A weightlifter's maximum amount he can lift is 300 pounds. Write and solve an equality to find the number of 50 pound weights he can possibly lift.
50w/50 = 300/50
----------- -----------
1w (or) w = 60
w = # of weights
The weightlifter can lift a maximum of 60 weights if each weight weighed 50 pounds.
the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction. (step by step)
Answer:
43.2 is the correct answer happy
Keith spent $8 on tomatoes. How many did he get?
Answer:
its got 6
Step-by-step explanation:
I REALLY DONT KNOW
Answer:
Step-by-step explanation:
Let t be the unit cost of the tomatoes: e. g., t = $1.25/lb.
If Keith spent $8 on tomatoes, the number he bought would then be
$8
------------- = 6.4 lb of tomatoes
$1.25/lb
Of course he couldn't buy 0.4 tomato, but this method of calculating how many tomatoes he could buy theoreticallyl is correct.
The general formula would be
$8
------------ and the end result would be the number of pounds Keith could
$t / lb buy for $8.
I need help with this :')
Answer:
Rate of change is 15/2
Step-by-step explanation:
Rate of change is the same as slope of a line.
( y1 - y2 ) / ( x1 - x2 )
( 30 - 15 ) / ( 4 - 2 )
15 / 2
Hopefully this helps!
Brainliest please?
what is the value of a in a/5 + 3= 8
Answer:
Step-by-step explanation:
what is the value of a in a/5 + 3= 8
a/5 + 3= 8
a/5 = 8 - 3
a/5 = 5
a = 5 * 5
a = 25
Answer: a= 25
Step-by-step explanation:
first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3
a/5=5
after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:
a=5x5
a=25
now let's make a verification:
25/5+3=8
5+3=8
a=25
hope I helped you :)
There are 377 toys that Janet collected at the carnival. She wants to put them in 12 bags. After she splits them into bags, how many toys does she have left to give to her little brother?
Answer:
D. 31 toys
Step-by-step explanation:
377 ÷ 12 =
31.41666666666667
377 toys
12 bags
to find:how many toys she'll have left to give her little brother.
solution:[tex] \frac{377}{12} [/tex]
[tex] = 31.4166666667[/tex]
[tex]nearest \: whole \: number = 31[/tex]
hence, she'll have 31 toys left to give her little brother.
answer= option D
Louise spins the spinner twice. Which probabilities are correct? Check all that apply.
Answer using scientific notation
0,00000000023 x 140000000
830000 x 0,00000034
0,00000042 x 0,0000081
Answer:
1. 3.22 x 10^-2
2. 2.822 x 10^-1
3. 3.402 x 10^-12
Step-by-step explanation:
1. 0.00000000023 x 140000000
= 2.3 x 10^-10 x 1.4 x 10^8
= 3.22 x 10^-2
2. 830000 x 0.00000034
= 8.3 x 10^5 x 3.4 x 10^-7
= 0.2822
= 2.822 x 10^-1
3. 0.00000042 x 0.0000081
= 4.2 x 10^-7 x 8.1 x 10^-6
= 3.402 x 10^-12
A runner wants to run a total of 42 miles. She wants to run the same number of miles each day. Which numbers of miles can she run each day: 3,4,5, or 6? How many days will it take her to run the 42 miles? Explain.
Answer:
3 or 6 miles; If she runs 3 miles each
Step-by-step explanation:
Answer:
3 or 6 miles; If she runs 3 miles each
Step-by-step explanation:
What is cuneiform?
A. a specific style of architecture
B. a method used to create pottery
C. writing system using wedge-shaped symbols
D. an artistic era filled with achievements in art
Answer: Pretty shure it's C
Step-by-step explanation:
c. writing system using wedge-shaped symbols
Please help with this
Answer:
the answer is x=107° you're welcome
You research rowboat rentals at a local lake. The total charge to rent a rowboat for 2 hours is $22 for each boat, plus a fee of f dollars for each passenger, up to 5 passengers.
The day you decide to go to rent a rowboat, you take n friends with you and decide to rent one boat for 2 hours. Your total cost is $34.
Using f, n, and the other information provided, model this situation by completing the equation: __________________________ = $34.
Answer:
f=2 N=5
Step-by-step explanation:
URGENT!!!! i'll mark u as brainliest!
Answer:
a) 180°
b) 360°
c) 180° (Interior angles)
d) 180°
e) (n-2)180
f) Equal
g) Equal
h) Equal
Step-by-step explanation:
the average attendance at a club fell by 7% in 2015. if 2030 fewer people went in 2015, how many went in 2014?
Answer:
300
Step-by-step explanation:
All you had to be is take 2030 and divide by 7 percents
There are 549 coins in a bottle.
1/3 of the coins are £1 coins.
164 of the coins are 50p coins.
The rest of the coins are 20p coins.
Work out the total value of the 549 coins in pounds (£).
Answer:
12,423 i think
1/3 is 183
164x50=8200
549-347=202
202x20=4040
183+8200+4040=12423
please help me with this 2
How many inches is the box's side?
And please explain how you found the answer
Thank you :)
Answer:
[tex]x\approx 13.27 in[/tex]
Step-by-step explanation:
I'm assuming 24' is the diagonal of the box (red dashed line) and not of the bottom face (black dotted line).
Option 1: easiest if you know/remember the formula for the distance of two points in space (or for the diagonal of a parallelepiped): [tex]d= \sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex] where replacing (and squaring both sides to get rid of the square root) we get
[tex]24^2 = x^2 + 16^2+12^2 \rightarrow 576= x^2+256+144 \rightarrow x^2=176\\x\approx13.27 in[/tex]
Option 2: look at the triangle that has sides the forward left edge of the box, the dotted diagonal and the dashed diagonal. It's a right triangle of hypotenuse 24 and side length 12. Pythagorean theorem to find the missing side lenght
[tex]24^2 = l^2+12^2 \rightarrow l^2 = 432 \rightarrow l\approx 20.78 in[/tex]
At this point we're back at the right triangle of the bottom face of the box, of hypotenuse 20.78' and side lenght 16'. Phythagorean theorem again:
[tex](20.78)^2= 16^2 +x^2 \rightarrow 432 = 256+x^2\\x^2 = 176 x \approx 13.27[/tex]