Answer:
2 = x
Step-by-step explanation:
Both segments are congruent so we can say that:
4x + 7 = 10x - 5
Now we can simplify:
7 = 6x - 5
12 = 6x
12/6 = x
2 = x
Hope this helps!
what is the vertex form of y=x^2+4x minus 7
Answer: Hello Luv........
Complete the square to find the vertex:
(−2,−11)
Step-by-step explanation:
y=x2+4x−7
=x2+4x+4−11
=(x+2)2−11
Mark me brainest please.
Hope this helps!
Anna ♥
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.
For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of the 18 term
Answer:
[tex]18th=44032[/tex]
Step-by-step explanation:
From the question we are told that:
9th term [tex]a9=\frac{43}{256}[/tex]
14th term [tex]a14=172[/tex]
Generally the equation for Geometric sequence is mathematically given by
[tex]a_n=a_1r^{n-1}[/tex]
For 9th term
[tex]\frac{43}{256}=a_1r^{8}[/tex]
For 14th term
[tex]172=a_1r^{13} \\a_1=\frac{172}{r^13}[/tex]
Substitute in 9th term
[tex]\frac{43}{256}=\frac{172}{r^13}*r^{8}[/tex]
[tex]\frac{43}{256*172}=r^{-5}[/tex]
[tex]r=^5sqrt{\frac{44032}{43}}[/tex]
[tex]r=4[/tex]
Therefore First term a is given as
[tex]a_1=\frac{172}{4^13}[/tex]
[tex]a_1=2.563*10^{-6}[/tex]
Generally the equation for the 18th term is mathematically given by
[tex]18th=a_1r^{17}[/tex]
[tex]18th=2.563*10^{-6}*4^{17}[/tex]
[tex]18th=44032[/tex]
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!
How do you know the that two triangles are similar?
Answer:
Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar
Step-by-step explanation:
Answer: they look similar
Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)
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:
HELP PLEASE I SUCK AT THIS!<3
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.
There are 4 blocks in the top of first tier of a pyramid. 8 blocks in the second tier. 16 in the third tier. 32 in the fourth tier. How many in the 12 tier?
Answer: 8192
Step-by-step explanation:
If you want to use an equation, the equation to solve this problem is 4 • (2^x-1).
You're looking for the 12th row so replace 12 for x.
4 • (2^11) = 8192
I need to find the volume
Answer:
343 in
Step-by-step explanation:
Volume = Length × width × height
Volume = 7 × 7 × 7
Volume = 343
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]
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.
What do the following two equations represent?
Answer:
C)
Step-by-step explanation:
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.
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!
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
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
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
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!!!
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.
Is 4=5 I know it sounds not to smart just trying to prove a friend wrong
what is 1/3 into decimal form
Answer: 0.333
Step-by-step explanation:
Answer:
0.333
Step-by-step explanation:
what is 20 percent of 9,500
Answer:
1900
Step-by-step explanation:
What is the missing angle
measure?
Answer:
x = 136º
Step-by-step explanation:
x = 180 - (29 + 15)
x = 180 - 44
x = 136
Hope that helps! :)
-Aphrodite
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
What is the domain of the following graph?
Answer:
(-5, 5)
Step-by-step explanation:
A graph exists only for (-5, 5). This is the domain.
Find the surface area of the cone. Round your answer to the nearest tenth.
Answer:
209.2
Step-by-step explanation:
Please help meeeeee I’m desperate
Answer:
C
Step-by-step explanation:
Answer:
f^-1(x) = [tex]\frac{x+6}{5}[/tex]
Step-by-step explanation:
5x inverse would be [tex]\frac{x}{5}[/tex] and -6 inversed would be 6.
Since the 5 is a denominator, it would carry for the equation so your answer should be [tex]\frac{x+6}{5}[/tex].
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
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.