Answer:
4(x + 8)(x - 8)
Step-by-step explanation:
We can start by finding the GCF of both terms. We can notice that both terms are divisible by 4, so we can factor it out:
4(x^2 - 64)
Now, we can notice that x^2 - 64 resembles the special product a^2 - b^2 which factors to (a + b)(a - b). In this case, a^2 = x^2 and b^2 = 64.
So,
a = x
b = 8
We can substitute:
(a + b)(a - b)
(x + 8)(x - 8)
We can add the 4 from the beginning in to get:
4(x + 8)(x - 8)
Answer:
x = -8 and 8
Step-by-step explanation:
1st we can factor out a 4 so we get
0 = 4(x^2 - 64)
now can either factor it out some more or just solve for x.
if we factor it out more we get
0 = 4(x + 8)(x - 8)
we got x + 8 and x - 8 because 64 is a perfect root and it was negative. now we solve for x.
x = 8, x = -8
NEED HELP ASAP!!!!!!George and John travel 392 miles in 7 hours. If they travel at the same rate, how long will it take them to travel 728 miles?
a) Find their rate: _____ mph
b) It took them ____ hours to travel 728 miles
A pyramid has a square base of 14cm and a height is 19 cm and slanted height is 21cm. Find its total surface area and it's volume
Answer:
Total surface area=728cm^2
Volume of pyramid=1241.33 cm^3
Step-by-step explanation:
Given data
Square base= 14cm
Height= 19cm
Slant height = 21cm
Area of all four triangular surfaces= 1/2B*H*4
Area of all four triangular surfaces= 1/2*14*19*4
Area of all four triangular surfaces= 1/2*1064
Area of all four triangular surfaces=532 cm^2
Area of square base= 14^2
Area of square base=196cm^2
Total surface area= Area of all four triangular surfaces+Area of square base
Total surface area=532+196
Total surface area=728cm^2
Volume of pyramid= a^2h/3
Volume of pyramid= 14^2*19/3
Volume of pyramid= 196*19/3
Volume of pyramid=3724/3
Volume of pyramid=1241.33 cm^3
what is the vertex of this quadratic?
Answer:
(-3,0)
Step-by-step explanation:
The vertex is the maximum of a downward facing parabola
The maximum is (-3,0)
Write 0.00005974 in scientific notation.
Answer:
Step-by-step explanation:
For correct scientific notation, we need to have 1 number to the left of the decimal, and everything else to the right. Since our number is already less than 1, the exponent representing the number of places we move the decimal will be negative. We have to move the decimal 5 places to the right to get the 5 to the left of the decimal and everything else to the right, making this:
[tex]5.974*10^{-5[/tex]
Using Properties of Right Triangles
Answer these questions about the right triangle.
What is the area of the square of the leg 6?
What is the area of the square of the leg 8?
What is the area of the hypotenuse square?
6 units
What is the length of the hypotenuse?
8 units
) Intro
✓ Done
Tutoring Help
Frame Chain/Activity
Answer:
1st one is 36
2nd one is 64
3rd one is square root of 72
4th one is square root of 128
HELP NEEDED!
What is the Surface Area of this pyramid?
A)96
B)101
C)106
D)111
Answer:
A
Step-by-step explanation:
(2 * sqrt(5^2 - 4^2))^2 = 36
4 * 1/2 * 5 * 6 = 60
60 + 36 = 96
A truck is 48 ft. long and 10 ft. wide. The owner wants to paint a red stripe around the outside of the truck. How long is the stripe? Please explain
a tin has asquare base whose sides measures 32 cm .the vertical sides are 50cm high.cake mixture is poured into the tin and leveled off at the 38 cm mark above the base
(i)the capacity of the tin
(ii)the volume of the cake mixture in the tin in cm^3
(iii)volume of the space unoccupied by the cake in cm^3
Answer:
(a) V = 51200 cubic cm
(b) V' = 38912 cubic cm
(c) V'' = V - V' = 12288 cubic cm
Step-by-step explanation:
side of the square base, s = 32 cm
height, h = 50 cm
height of cake mixture, h' = 38 cm
(a) The capacity of the tin is the volume.
Capacity of tin, V = s x s x h = 32 x 32 x 50 = 51200 cubic cm
(b) The volume of the cake mixture is
V' = s x s x h'
V' = 32 x 32 x 38 = 38912 cubic cm
(c) Volume of unoccupied space is
V'' = V - V' = 51200 - 38912 = 12288 cubic cm
The radius of a circle is 14 millimeters. What is the circle's area?
Answer:
Step-by-step explanation:
use formula,
area of circle=π(r)^2
=3.14*(14)^2
=3.14*196
=615.44 millimeters
solve the system using the elimination method
2x + 3y = 12
15x -3y = 39
Answer:
x=3 y=2
Step-by-step explanation:
Step one:
Add both equation
2x+3y=12
+ 15x-3y=39
___________
17x=51
x=3
Step 2: After finding the answer for x, plug it into the first equation to find the value of y
2(3)+3y=12
6+3y=12
3y=6
y=2
Write the equation of the line in fully simplified slope-intercept form.
I need help please it would really make my day
no links or zooms please !!!!
Answer:
267.45 sq units
Step-by-step explanation:
Area of shaded region = Area of Square minus Area of Circle
the sides of the square are twice the radius of 9, therefore 18
A(square) = 18² = 324
A(circle) = π9² = 81π ≈ 56.55
324 - 56.55 = 267.45
A Mall has 21 shops: 9 are pens, 7 are shoes, and 5 are watch shops. What
is the probability that we will go shopping in pens or shoes shop?
Answer:
16/21
Step-by-step explanation:
9+7 / 21
16/21
Answer:
16/21
Step-by-step explanation:
The demoninator is 21
There are 9 pens and 7 shoes.
9+7=16
16/21
You can not simplify 16/21, so that is your final answer.
The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?
–6
–9
9
6
Answer:
6
Step-by-step explanation:
In y=mx+b, m is the slope. 6 is in the place of m so 6 is the slope
Which name could be used to describe this group of solid shapes?
Answer: shapes with at least 1 circular face
Step-by-step explanation:
The major types of solid shapes are: cubes, cuboids, prisms, pyramids, platonic solids, torus, cone, cylinder, and sphere.
D Shape with at lease 1 face
HOPE THIS HELPS
9x-1 41-5x solve for x
Step-by-step explanation:
question is not understood can u write clearly plzzz
Find the value for the given variables. Give the variables in simplest radical form.
[tex] \huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐ }}}[/tex]
The given triangle is a right angled triangle,
so let's apply trigonometry here :
[tex] \sin(30) = \dfrac{7}{y} [/tex][tex] \dfrac{1}{2} = \dfrac{7}{y} [/tex][tex]y = 7 \times 2[/tex][tex]y = 14 \: \: units[/tex]Now,
[tex] \cos(30) = \dfrac{x}{y} [/tex][tex] \dfrac{ \sqrt{3} }{2} = \dfrac{x}{14} [/tex][tex]x = \dfrac{14 \sqrt{3} }{2} [/tex][tex]x = 7 \sqrt{3} [/tex][tex]x = 12.12 \: \: units[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Problem 1: Your new computer cost $1500 but it depreciates (decreases)
in value by about 18% each year. How much does it cost after 15 years?
a) Does this equation represent growth
or decay? Circle one.
growth decay
b) Identify the initial amount
c) Identify the growth or decay rate
d) Write an exponential function to
model the situation
Y = A (1 r)'
e) How much does the computer cost
after 15 years?
Students, draw anywhere on this slide!
The yearbook has 12 pages for ads. Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in. If all the ad space sells at $10 per ad, how much money will this raise for the yearbook?
Answer:
$480
Step-by-step explanation:
Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in
based on the dimensions, there would be 4 ads per page
total ads in 12 pages = 4 x 12 = 48
total cost of ads = 48 x 10 = 480
True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.
Answer:
false
Step-by-step explanation:
this beacuse when is times with the base that shows the product thats the factor
Which is equivalent to the expression (3x^2 – 2x + 14) – (6x² + 3x – 9)?
A) -3X^2 - x +5
B) -3X^2-5x+5
C) -3x^2-5x+23
D) 18x^4-6x^2-126
correct answer is c i think so
Kendra is starting a science experiment. She will grow salt crystals in a clear plastic box. The inside of Kendra's box is 9 inches long and 5 inches wide. Kendra pours salt water into the box to a height of 4 inches. What is the volume of salt water in the box?
Answer: the answer is 375.5906
Step-by-step explanation:
mary drew a picture of a building. she used the scale shown 1 in:16 ft. the building in her pictures 9 inches tall. what is the height, in feet, of the actual building.
Answer:
okay
i am not sure the answer but hi i am ok
in a box of pens, 30% of them are blue, 45% are red and the rest are black. if there are 360 red pens, find the total number of pens.
Answer:
800
Step-by-step explanation:
PLEASE HELP ASAP!!
find the value of y.
2
2weridcheckthing2
3
6checkthing2
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
A^2 + B^2 = C^2
1^1 + y^2 = 3^3
1 + y^2 = 9
y^2 = 8
y = [tex]2\sqrt{2}[/tex]
Indicar cuál digito está en la posición de las centenas y cuál está en la posición de las unidades.
2.698
Answer:
cantenasjajsjjsjjsjjsnnxkksnjdjidnnkjjdjjsjjjsjndnndkksjm
what is the percentage of (1)/(2)
Answer:
50%
Step-by-step explanation:
1 whole = 100%
1/2 of a whole = 1/2 × 100%
= 50%
anyone know how to do it?
Answer:
sorry i dont know how to do this yet moths do a lot of tufff too u know what im sayin
Step-by-step explanation:
If the information given below represents an arithmetic sequence
a1= 49 and a8= 14 find:
d =
a27=
WILL AWARD BRAINLIEST
Answer:
a₂₇ = -81
Step-by-step explanation:
Given that,
The first term of an AP is, a₁ = 49
8th term of the AP, a₈ = 14
nth term of an AP is given by :
[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]
27th term of the AP is given by :
[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]
So, 27th term of the AP is -81.
Solve the following equation for x: 3x - 8 = 25
Answer:
x = 11
Step-by-step explanation:
First you isolate the 3x to one side by adding 8 to both sides, this then gives us the equation 3x = 33, then you divide 33/3 which equals 11