The perimeter of a rectangle is given by:
[tex]\boxed{\bold{Perimeter = 2 (length + width)}}[/tex]
In the problem we have these data:
Length = a Width = -2x + 20 Perimeter = 6 + 2 (-2x + 20)
We replace the data in the equation of the perimeter:
6 + 2 (-2x + 20) = 2 (a - 2x + 20)
We apply distributive property:
6 - 4x + 40 = 2a - 4x + 40
6 = 2a
6 ÷ 2 = a
3 = a
⇒ Length = 3
The area of the rectangle is given by:
[tex]\boxed{\bold{Area = 2 (length + width)}}[/tex]
We have these data:
Length = 3 Width = -2x + 20
We replace the data in the equation of the area:
Area = (3) (- 2x + 20)
We apply the distributive property and obtain:
Area = -6x + 60
The expression representing the area of the rectangle will be -6x + 60
I hope I've helped!
4. Phil bought a block of cheese in the shape of a triangular prism measuring 8 inches by 4 inches by 2 inches. What is the volume of the block of cheese?
Answer:
32 inches^3
Step-by-step explanation:
Volume = 1/2 ( base x height x length)
0.5 ( 4 x 2 x 8) = 32 inches^3
identify the zeros of the polynomial function .
Step-by-step explanation:
To start, every term has an
x
in common, so we can factor that out. Doing this, we get
x
(
x
2
+
x
−
42
)
=
0
What I have in blue can be factored by a thought experiment. What two numbers have a sum of
1
and a product of
−
42
?
After some trial and error, we arrive at
−
6
and
7
. Thus, this business can be factored as
x
(
x
−
6
)
(
x
+
7
)
=
0
We can leverage the zero product property here, setting all three terms equal to zero. As our zeroes, we get
x
=
0
,
x
=
6
, and
x
=
−
7
6= x−15
What does 'X' equal?
Answer:
x = 21
Step-by-step explanation:
6 = x - 15
x = 6 + 15
x = 21
Hope that helps!
Answer:
x=21
Step-by-step explanation:
move all the terms that don't contain x to the right side and solve.
??? Help me with my work pls
Answer:
2. 10 + 5 x 2 $20
3. 10 + 5 x 3 $25
4. 10 + 5 x 4 $30
Hope that helps!
Step-by-step explanation:
Answer:
2) 10+5x2= 20
3) 10+5x3= 25
4) 10+5x4= 30
Step-by-step explanation:
just add 5 every time
find the area of the rectilinear
Answer:
52cm^2
Step-by-step explanation:
I did the splitting in my head and that's pretty hard to explain like this so, just BTW if your confused on where I got my lengths from.
(7*6) + (5*2)
(42) + (10)
52
I separated them into an almost square and a rectangle, then I found the area of each rectangle and then added them together.
Hopefully this was useful and you didn't have any issues with this!
HELP ASAP. I only have 30 minutes left to complete 5 more questions. I will award Brainly and 100pts to whoever can solve this for me. I need help ASAP. This is timed. This is also for a college and high school course. I risk failing if I don't get the correct answer to this. HELP ASAP PLZ. This is slope intercept form
Answer:
y = 2x - 22
Step-by-step explanation:
y = 2x + 1
Parallel slope: 2
(7, -8)
y - y1 = m(x - x1)
y + 8 = 2(x - 7)
y + 8 = 2x - 14
y = 2x - 22
Answer:
Solution given:
equation of line 1 is:
y=2x+1
2x-y+1=0.......[1]
slope of line 1 is
m1=[tex] \frac{ -coefficient \:of\: x }{coefficient\: of \:y} [/tex]
[tex] \frac{ - 2}{ - 1} = 2[/tex]
Since the lines are parallel than slope of another line m2=m1=2
It passes through (x1,y1)=(7,-8)
equation of a line is:
(y-y1)=m2(x-x1)(y+8)=2(x-7)y+8=2x-142x-y=8+142x-y=22[tex] \frac{2x}{22} - \frac{y}{22} = 1[/tex][tex] \frac{x}{11} - \frac{y}{22} = 1[/tex]is a required equation of a line in slope intercept form.
Michael is saving to buy his senior ring. The base cost of the ring is $280. There are also upgrades he can purchase for the ring. If he saves $35 each month, Which solution represents how many months it will take Micheal before he can purchase his ring?
A.x<_8
B.x_>8
C.x<8
D.x>8
Answer:
B
Step-by-step explanation:
Assuming that he doesn't buy any upgrades it will take 280/35 = 8 months to save enough money to buy the ring. Taking the possibility that he may buy an upgrade too we can say that it will take 8 months or more to buy the ring.
If A=D and C=F, which additional statement does NOT alloy you to conclude that ABC=DEF
Answer:
A
Step-by-step explanation:
i think its a because its saying which one does not allow you to conclude that both triangles are congruent but the other ones are talking the sides and a is the only one thats talking about the angles. so i dont really know if its right but thats just an educated guess.
Is the discriminant of G positive zero or negative
Answer: The answer is 0 because if it was negative, there are no solutions and if the discriminant is equal to zero we have a solution. can you give me brainliest
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer: a
Step-by-step explanation:
Number m less than 5
Answer:
....
Step-by-step explanation:
Answer: 1, 2, 3, 4.
Step-by-step explanation: When you count to five, the numbers that are listed above, (1, 2, 3, 4) are the right answers
Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)
Answer:
y - 2 = -3(x - 1)Step-by-step explanation:
The point-slope form of equation of function passing the point (x₀,y₀) where m is the slope is: y - y₀ = m(x - x₀)
m = -3
(1, 2) ⇒ x₀ = 1, y₀ = 2
y - 2 = -3(x - 1)
how do you write the equation of a line in slope intercept form looking at a table?
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept
1) Determine the slope (m)
To find the slope, take two points from the table, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] and plug them into the following equation to solve for m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug m into [tex]y=mx+b[/tex] .
2) Determine the y-intercept (b)
Take any point given in the table and plug them into [tex]y=mx+b[/tex] (along with the slope that you solved for earlier) as [tex](x,y)[/tex]. Solve for b. Plug b back into [tex]y=mx+b[/tex] along with the slope.
I hope this helps!
Question should guns be allowed to be at school for example can a security guard have a gun?
Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.
Step-by-step explanation:
Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.
Step-by-step explanation:
A rectangular prism has a length of 20cm, a height of 17cm, and a width of 6cm. What is its volume, in cubic cm?
Answer:
2,040cm
Step-by-step explanation:
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit
in an area that is 20 feet wide and 25 feet long.
An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.
Helppppp Jason was 1.75m tall last year. He grown 11 cm taller this year. How tall is Jason now?
Answer:
1.86 m
Step-by-step explanation:
11 cm = 0.11 m
1.75 + 0.11 = 1.86
How many words does the average 30 month old child understand?
600 to 700 words
700 to 800 words
800 to 900 words
900 to 1000 words
Answer:
600 to 700 words, i believe that's the answer...
Step-by-step explanation:
i really hope this helps :)
I need the answer pliss
Answer:
Im sorry never did this before
Help me with this!!!!
Answer:Really I just answered this for you. What you don't believe me? It's 30
the product of 700 and 4000 expressed in scientific notation is
Answer:
caca
Step-by-step explanation:
caca
A require 2/3 cup of sugar to make a cake what is maximum number of cakes that can be made using 1/2
Answer:
0 cakes
Step-by-step explanation:
1/2 is 0.5 cups.
2/3 cups is roughly 0.67.
If it requires 0.67 cups of sugar and you have 0.5 cups, you don't have enough for a single cake.
ang answer jan ay .............stick o
What type of function can be used to model the scenario?
Burton Guster invests $15,000 into an account that earns 6.5% compounded annually.
Linear
Exponential
Quadratic
2. What type of function can be used to model the scenario?
Jack adds 2 quarters to his piggy bank each week.
Linear
Exponential
Quadratic
Answer:
1. Exponential
2. Linear
Step-by-step explanation:
1. Exponential
Principal = 15000
Rate, r = 6.5% compounded annually
A = P(1 + r)^t
A = 15000(1 + 0.065)^t
A = 15000(1.065)^t
2. Linear
Let initial amount in bank = x
Amount added per week = 2
Number of weeks or period = t
A = x + 2t
Write the number in 2 equivalent forms as a fraction, decimal, or percent.0.40
Answer:
2/5 or 40%
Step-by-step explanation:
.40 is 40 hundredths or 40/100
40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5
Percentages are fractions out of 100 so 40/100 would be 40%.
Please help, Math test question !
The answer to a dividing question is 6/8, write a question for the answer.
Answer:
Mat has 6 cookies. He divides them among his 8 friends. How many cookies does each person get?
Step-by-step explanation:
You divide 6 by 8..?
Consider the pair of triangles given below. If MPN ~ XYZ then the length of side PN is?
Answer:
the answer should be 9, im not sure tho I vaguely remember this
Help!
This is for Patterns, Functions, and Algebra!
Answer:
C.
Step-by-step explanation:
The answer is C
HELP URGENT!!!!! 50 POINTS
6/1.5=4
is the scale factor for the smaller triangle to the bigger triangle
Answer:
6/1.5=4
Step-by-step explanation:
A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit
Answer:
He is making 20 naira profit for every 4 cups that he sells for 100 naira
Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira
