Answer:
-5a+3b
Step-by-step explanation:
just adding and subtracting like terms
Answer:
3b-5a
Step-by-step explanation:
hope this helps:)
Write an
equation of the line that passes through the points (-3,4) and (-5,1).
Answer:
4x + 8y + 20 = 0
Step-by-step explanation:
Need help ASAP DUE IN A COUPLE MINUTES ?!!!!
Answer:
[tex] \displaystyle {r}^{} = 6[/tex]
Step-by-step explanation:
remember that,
[tex] \displaystyle V _{ \rm sphere} = \frac{4}{3} \pi {r}^{3} [/tex]
given that,
V=288πthus substitute:
[tex] \displaystyle \frac{4}{3} \pi {r}^{3} = 288\pi[/tex]
divide both sides by 4/3π:
[tex] \displaystyle {r}^{3} = 216[/tex]
cubic root both sides:
[tex] \displaystyle {r}^{} = 6[/tex]
and we are done!
A fruit basket contains 11 red apples and 7 green apples. What is the ratio of the number of red apples to the number of green apples
Answer:
11:7 or 11/7
Step-by-step explanation:
Since your asking for the ratio 11 goes first as the problom states red apples to green apples and there are 7 green apples so the corect answer is 11:7
Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please show your work and steps, so partial credit may be given:
Answer:
Perimeter = 30
Area = 30
Step-by-step explanation:
[tex](x+8)^2 -x^2 = 12^2[/tex]
[tex]x^2 +16x +64 - x^2 = 144[/tex]
[tex]16x+64=144[/tex]
[tex]16x = 80[/tex]
[tex]x = 5[/tex]
Double check:
[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]
Perimeter:
[tex]12+5+13=30[/tex]
Area([tex]\frac{1}{2}bh[/tex]):
[tex]\frac{1}{2}[/tex] × 12 × 5 = 30
According to Pythagorean theorem,
Δ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (x + 8)² = x² + 12²
⇒ x² + 64 + 16x = x² + 144
⇒ 16x = 80
⇒ x = 5
Hypotenuse = (x + 8) = (5 + 8) = 13
1st Leg = 5
2nd Leg = 12
We know that : Perimeter is the Sum of all sides of the Triangle
⇒ Perimeter = Hypotenuse + 1st Leg + 2nd Leg
⇒ Perimeter = 13 + 5 + 12
⇒ Perimeter = 30
We know that :
[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]
Base = 1st Leg
Height = 2nd Leg
[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]
[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]
Which figure is described below?
The points in a plane 4 units
from pq.
A. 2 lines
B. ray
C. sphere
D. line
Answer:
A. 2 lines
Step-by-step explanation:
Just did it on Acellus
Figure constitute 2 lines.
What is a Line?A line is a part of line that is bounded by two distinct end point, and contains every point on the line is between its endpoint.
option d) 2 lines will be described in the figure
PQ is already a line . Since , a point let say R is 4 unit away from that line , then this will constitute another line which is 4unit away from PQ.
Hence , figure constitute 2 lines.
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two lines intersect.One has gradient 4 and y-axis intercept 3. The other has gradient 6 and cuts the y-axis at (0,1). What is the point of interesection of the lines?
Answer:
(1, 7 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Then the equations of the 2 lines are
y = 4x + 3 → (1)
y = 6x + 1 → (2)
Substitute y = 6x + 1 into (1)
6x + 1 = 4x + 3 ( subtract 4x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (1)
y = 4(1) + 3 = 4 + 3 = 7
Point of intersection = (1, 7 )
Find all the missing elements.
Round to the nearest tenth.
a = 10
b = 7
C = 6
A = [?]°
B = [ ]° C = [ ]°
Answer:
A= 100.3
B= 43.5
C =36.2
Step-by-step explanation:
Answer:
The answer for Acellus people is
A = 100.3
B = 43.5
C = 36.2
Step-by-step explanation:
A ticket agent sells 24 tickets to a play. The tickets cost $70 each. Use rounding to estimate the total
dollars taken in from the sale of the tickets.
Question Help: Video
Submit Question
Answer:
$1,608
Step-by-step explanation:
I think you have to do $70 x 24
Answer:
$1680
Step-by-step explanation:
For 1 ticket price=$70
For 24 ticket price=$70 x 24
=$1680
Slope-intercept from by steps
Which graph models the equation y = 8(0.8)x?
Answer:
C
Step-by-step explanation:
Plug in two different numbers in the x coordinate and see if the y coordinate matches up with the same line.
4/10 + 5/100
Pls help now
Answer:
4/10 + 5/100= 9/20
Step-by-step explanation:
Answer:
9/20
Step-by-step explanation:
reduce the fraction with 2
4/10+5/100
2/5+5/100
2/5+1/20
write all numerators above the least common denominator 20
8+1/20
8+1=9
9/20
Pls help i'm struggling with this help pls!
Answer:
[tex]5\sqrt{10}[/tex] when simplified and added this is what i got and when redone too over check i got it again hopefully this helps.
A parent deposits $2000 into their child's bank account. The account earns 4%
interest each year. Write an explicit function that represents the situation. *
A(t) = 2000(1.04)-1
A (t) = 2000(4)'
A(t) = 2000(1.04)'
A(t) = 2000 + 4t
O
Answer:
A = 2000(1.04)^t
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
P is the principal = $2000
r is the rate = 4% = 0.04
On substituting
A = 2000(1+0.04)^t
A = 2000(1.04)^t
Hence the required expression is A = 2000(1.04)^t
Given the function
F(x)=
Answer:
Replace all the (x) values with the Values "-1, 0, 2" to get your answers
Step-by-step explanation:
4(-1)+4 (-1) < 0
f(-1)= 4(-1)+4 (-1) > 0
f(-1)= 4x+4 x < 0
f(0)= 4x +8 x>/_ 0
f(2)= 4x +8 x>/_ 0
Which equation has the slope of 3 and passes through point (1,5)
If y^4-y^3-3 is multiplied by 2y^3-2, what is the coefficient of y^3 in the product?
A. -4
B. -2
C. -1
D. 1
E. 6
Answer:
-4
Step-by-step explanation:
[tex](y^4-y^3-3) \times (2y^3-2)=...+[(-1)(-2)+(2)(-3)]y^3+...\\=...+[2-6]y^3+...\\=...+(-4)y^3+...\\[/tex]
so coefficient of y^3=-4
Isaiah brought two dozen donuts to a class party. Half of the donuts had vanilla frosting with sprinkles, 2 had strawberry frosting with cream filling, and the rest had chocolate frosting with sprinkles. What fraction of the donuts had sprinkles? There are 12 donuts in a dozen.
Answer:
22/24
ALL TOGETHER there is 24 donuts.
take half of 24, or 24 divided by 2, and you get 12.
so we know 12 of the donuts are vanilla with sprinkles.
then 2 had strawberry frosting and the rest had chocolate and sprinkles.
we took 12 away so we only have twelve left and if 2 of those 12 are strawberry with no sprinkles and the rest are chocolate WITH sprinkles, this means 10 are chocolate with sprinkles.
so 10 chocolate and sprinkles +12 vanilla and sprinkles=22 donuts with sprinkles out of 24 donuts total
Answer:
22/24
Step-by-step explanation:
what is 24 - t, t = 9
answer:
15
step-by-step explanation:
equation: 24 - t
variable: t
replace the variable with the number that represents it (9) & subtract
24 - t = ?
24 - (9) = 15
hope this helped!
ANSWER ASAP
How many faces does a polyhedron with 6 vertices and 12 edges have?
Eight faces!!!
In geometry, an octahedron is a polyhedron with eight faces, twelve edges, and six vertices.
Hope this helps! :D
Find the area of each figure. Use 3.14
===============================================================
Explanation:
The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5
The area of one circle is
A = pi*r^2
A = 3.14*(1.5)^2
A = 7.065
So two circles doubles to 2*7.065 = 14.13 square meters in area.
Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13
This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13
Answer:
23.14
Step-by-step explanation:
The shape is basically two equal-sized circles and a square.
Find the area of the square: 3 x 3 = 9
9 is the area of the square
The formula for finding the area of a circle is pi x radius squared.
3.14 x 1.5 squared = 7.06858
Round to 7.07 and multiply by 2 = 14.14
14.14 (area of both circles) + 9 (area of square) = 23.14
Can someone explain step by step of how to answer this question?
Answer:
More people ordered processed than produce
Step-by-step explanation:
They are comparing [tex]\frac{1}{5} and \frac{19}{91}[/tex]
First we have to find the least common multiple (lcm)
The lcm is 455
[tex]\frac{1}{5} x \frac{91}{91} = \frac{91}{455}[/tex] (produce)
[tex]\frac{19}{91} x \frac{5}{5} =\frac{95}{455}[/tex] (processed)
[tex]\frac{91}{455} < \frac{95}{455}[/tex]
More people ordered processed than produce.
simultaneous equation -- 4x+3y=16 .. 5x-y=1
Answer:
(1, 4)
Step-by-step explanation:
4x + 3y = 16
5x - y = 1
20x + 15y = 80 (Subtract the equations)
20x - 4y = 4
19y = 76
y = 4
Substitute into any of the original equations:
4x + 3(4) = 16
4x + 12 = 16
4x = 2
x = 1
x = 1, y = 4
Answer:
x = 1 and y = 4
Step-by-step explanation:
4x + 3y = 16
5x - y = 1
→ Rearrange the second equation to make y the subject
y = 5x - 1
→ Substitute this into the first equation
4x + 3 ( 5x - 1 ) = 16
→ Expand
4x + 15x - 3 = 16
→ Simplify
19x - 3 = 16
→ Add 3 to both sides
19x = 19
x = 1
→ Substitute this solution into 5x - y = 1
( 5 × 1 ) - y = 1
→ Simplify
5 - y = 1
→ Minus 5 from both sides
-y = -4
→ Multiply both sides by -1
y = 4
Which of the following statements are true regarding functions?
Check all that apply.
Answer:
A and D are true.
Step-by-step explanation:
A function is a relationship that maps elements from one set (the domain, set of the inputs) into elements from another set (the range, set of the outputs), such that each element from the domain can be mapped into only one element from the range.
So, if the inputs are represented in the horizontal axis, and the outputs are represented in the vertical axis, when we draw a vertical line in any given point, this line can not intersect the graph more than once (because that would mean that a given input has two different outputs). This is known as the vertical line test. Note that two different values from the domain can be mapped into the same value in the range.
Also, we define a function as one-to-one if each output is mapped from only one input.
(so here we can not have two different inputs mapped into the same output).
Here we can do a similar test to the one above, this time we should use the horizontal line test to verify if the function is one-to-one or not.
So, here the correct options are:
A and D.
Option B is false.
And for option C, a sequence is a function where the variable is a set of natural numbers, so option C is also false.
Answer:
A and B is correct
Step-by-step explanation:
I need help:)
please
Answer:
it's 5
Step-by-step explanation:
Answer:
r = 5
Step-by-step explanation:
if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality
35 = 7r
60 = 15r
100 = 20r
'r' is 5
Find the segment of the line segment
Answer:
(1,3)
Hope this helps! :)
find the volume of and round all answers to the nearest hundredth.
Answer:
The answer would be : 7,500 <-- (rounded)
Step-by-step explanation: How i got this answer is, i just multiplied all of the sides together since thats what you do with area's. ( 21 x 21 x 17= 7,497)
Now, the last step is to just round the number off. As we see, the "497" is much more closer to the number "500". So we can just simply round "497" to "500". So your final number for the area would be (7,500) ft.
~hope this helped you out in any way, have a gr8 day/night my friend!~
A sea lion was swimming at 2 feet below sea level. The number line shows
the location of the sea lion. It then swam down 8 feet. Describe how to use
the number line to find the new location of the sea lion.
Answer:
Start at zero, then go to the left two times, then go down eight more. The new location would be negative ten.
Step-by-step explanation:
Find the measure of arc CB
Answer:
Arc CB is equals to 160
Step-by-step explanation:
Add all of those numbers and subtracted by 360
Answer:
Step-by-step explanation:
Remark
Be very careful that you understand which arc you are asking for. Arc CB could be the arc made up of 53 + 79 + 68 = 200.
Somehow I get the idea that is not what you want. You want the arc that is not divided up so it is
Arc CB = 360 - Sum of the minor arcs
Arc CB = 360 -- 200
Arc CB = 160
A translation moves point B (-5,3) to point B’ (2,1). What is the image of (x,y) under this translation?
(X-3, y-2)
(X-3, y+2)
(X+7, y+2)
(X+7, y-2)
Answer:
4th option
Step-by-step explanation:
Given
B (- 5, 3 ) → B' (2, 1 )
The change in the x- coordinates are - 5 → 2 , that is + 7
The change in the y- coordinates are 3 → 1 that is - 2
Then the translation rule is
(x, y ) → (x + 7, y - 2 )
If translation moves point B (-5,3) to point B’ (2,1). Then (X+7, y-2) is the image of (x,y) under this translation
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
A translation moves point B (-5,3) to point B’ (2,1).
We need to find the image of (x,y) under this translation
A graph is translated k units horizontally by moving each point on the graph k units horizontally.
Which means to get B' which translation is used.
B (- 5, 3 ) and B' (2, 1 )
If we add +7 to x coordinate we will get 2.
When we subtract 2 from B we will get 1
So the translation rule is
(x, y ) → (x + 7, y - 2 )
Hence (X+7, y-2) is the image of (x,y) under this translation
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Does anybody know it