6.) Evaluate the expressions below for the given values.
a. 2x + (x – 6) for x = 14
b. n 2+ n + 1 for n = 8
c. (r – 10)(r + 2) for r = 13
20 POINTSS
Answer:
Answer below. Hope it helps.
Step-by-step explanation:
a. 2x + (x - 6) {x = 14}
= 2*14 + (14 - 6)
= 28 + 8
= 36
b. n² + n + 1 {n = 8}
= 8² + 8 + 1
= 64 + 9
= 73
c. (r - 10) (r + 2) {r = 13}
= (13 - 10) (13 + 2)
= 3 * 15
= 45
Solve the following system of equations for x
2x-y=4
y-x=4
Answer:
What do i do???
Step-by-step explanation:
Answer:
x = 8
y = 12
Step-by-step explanation:
Given equations are -
2x - y = 4 .......(1)
-x + y = 4 ........(2)
Add both equations, we get
2x - y + (-x + y) = 4 + 4
⇒2x - y - x + y = 8
⇒x = 8
Now,
Put the value of x in equation (2), we get
y - 8 = 4
⇒y = 4 + 8
⇒y = 12
∴ we get
x = 8
y = 12
The rectangular prism has a base that is 3x9 m and a height of 2m
What is the volume of this greenhouse?
Answer:54
Step-by-step explanation: 2*3*9=54
Dakota earned $8.75 in interest in Account A and $28 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and 4% for Account B, which account has the greater principal?
so B should be the answer
Step-by-step explanation:
account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also
Find the length DE. Round your answer to the nearest tenth of a meter
Answer:
13.8
Step-by-step explanation:
We can use trigonometry to find the length of DE
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )
When working with opposite and adjacent we use the trig ratio tangent
That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )
so [tex]tan(51)=\frac{17}{x}[/tex]
now we solve for x
Step 1 multiply each side by x
tan(51) * x = x tan (51)
[tex]\frac{17}{x} *x=17[/tex]
now we have x tan (51) = 17
step 2 divide each side by tan (51)
[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]
we now have
[tex]x =\frac{17}{tan(51)} \\[/tex]
[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]
we're left with x = 13.76632856
Finally we round to the nearest tenth and get that the answer 13.8
Which values are equivalent to the fraction below? Check all that apply.
Please help me
The answer choices are on the photo
Answer:
c
Step-by-step explanation:
hope this hellpppeedd
Solve for e.
e² = 36
Enter your answer in the box.
e = ±
Answer:
e= 2.718281828459........
Answer:
he told u so ya
Step-by-step explanation:
Alright another here we go, Please help!
Answer:
4x=y
Step-by-step explanation:
4x=y is your answer because if x is 5, like in the table, then 4(5) would equal 20, which is the y-value. It also works for every number in the table.
Hope this helps.
Which only lists multiples of 16?
O 1, 2, 4, 8, 16
O 16, 24, 32, 40
O 16, 32, 48, 64
O 1,2,4,8, 12, 16
Answer:
The answer is C: 16, 32, 48, 64
Step-by-step explanation:
The multiples of 16 are:
16x1= 16
16x2=32
16x3=48
16x4=64
pls help I'll give 20 points!
Answer:
3/4 of 5
= 3/4 × 5
= 15/4
= [tex]3\dfrac{3}{4}[/tex]
What is (f - g)(x)?
f(x) = -2x + 4
g(x) = -x2 + 4x + 5
Step-by-step explanation:
[tex] ( - 2x + 4) - ( - {x}^{2} + 4x + 5) = {x }^{2} - 6x - 1[/tex]
Choose the diagram that shows the graph of the inequality.
Find the area of an equilateral triangle that has a perimeter of 24 units.
Answer:
32!
Step-by-step explanation:
area of a triangle is bh/2
the base and height are the same (8)
8*8 is 64
64 ÷ 2 is 32
PLEASE HELP, WILL MARK BRAINLIEST!
A circular pool has a footpath around the circumference. The equation x2 + y2 = 2,500, with units in feet, models the outside edge of the pool. The equation x2 + y2 = 3,422.25, with units in feet, models the outside edge of the footpath. What is the width of the footpath?
Answer:
8,5 feet
Step-by-step explanation:
The equation of the form
x² + y² = (r)²
Is the equation of the circumference
We have for the pool:
x² + y² = 2500 ⇒ x² + y² = (50)²
And for the outside edge of the footpath
x² + y² = 3422,25 ⇒ x² + y² = (58,5)²
So we obtain the radius of each circumference
For the outside edge of the pool r₁ = 50 feet
For the outside edge of the footpath r₂ = 58,5 feet
Then the width of the footpath is 58,5 - 50 = 8,5 feet
will name the brainliest
Answer:
sin A = 13/85
Step-by-step explanation:
Opposite Angle A is side BC, of length 13. The length of the hypotenuse is 85. The sine function is defined as the ratio opp/hyp. In this problem that ratio is
opp
------ = sin A = 13/85
hyp
We use the inverse sine function arcsin x to determine Angle A:
A = arcsin 13/85 = 8.8 degrees
Answer:
Sin(A) = [tex]\frac{13}{85}[/tex]
Step-by-step explanation:
Sin ratio = [tex]\frac{opposite}{hypotenuse}[/tex] (according to the given or asked angle)
Sin (A) = [tex]\frac{13}{85}[/tex]
Hope this helps!
Help me quick please solve in inequality please
Answer:
B
i don't know how to explain what i did correctly but the answer is B
Answer:
D.
Step-by-step explanation:
x + 3 is 3 more laps
≥ 12 means at least 12.
factorize:-
x³–3x²–9x–5
no links or spam answers please!
Answer:
X³ – 3x² – 9x – 5
= x³ + x² – 4x² – 4x – 5x – 5
= x²( x + 1) – 4x ( x + 1) – 5(x + 1)
= (x + 1)(x² – 4x – 5)
= (x + 1)(x² -5x + x – 5)
= (x + 1)(x – 5) (x + 1)
hence, (x +1), (x -5) and (x +1) are the factors of given polynomial .
Was this answer helpful?
Find the diameter and circumference
9 m
Answer:
d = 18, c = 56.55
Step-by-step explanation:
Solution
d=2r=2·9=18
C=2πr=2·π·9≈56.54867
Which of the following is an angle shown in the drawing?
∠GHB
∠KIH
∠HDE
∠FEI
Answer:
HDE
Is there more than one answer choice?
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZ
mDE = 128 and mBC = 63. Find mZA. (The figure is not drawn to scale.)
Answer:
The angle formed by the intersection of 2 secants could be found out as: 1/2 (Arc DE - arc BC)
mDE = 128
mBC = 63
=> 1/2 (128 - 63)
=> 32.5 = mZA
Hope this helps!
If the nth term of a sequence is 10n what is the 12th term
Answer:
10th term is 120.555
Step-by-step explanation:
Find the distance between the two endpoints.
(-6, 1) and (-3, 1)
Answer:
3
Step-by-step explanation:
distance formula
what was westons error
Answer:
he made a big error
Step-by-step explanation:
Where can you buy a ruler that is 3 feet long?
Answer:
At a yard sale
Step-by-step explanation:
4(2x+1)
what is the answer
Answer:
8x + 4
Step-by-step explanation:
4(2x+1)
4*2x + 4*1
8x + 4
wats 3/4 x12
plus the work and how to solve it
Answer:
9
Step-by-step explanation:
You divide 3 by 4 first and you'll get the anser 0.75, then multiply it by 12.
A square is split into four
similar squares, one of
the new squares is split
into fourths again, and
this process continues.
What kind of sequence
does this demonstrate?
Answer:
Geometric Sequence.
Step-by-step explanation:
We are told that the square is split into 4 similar squares. One of the new squares is now split into fourths again and this same sequence is repeated over again.
This means that there is a common ratio which is ¼.
Since there is a common ratio and not common difference, this sequence is said to be a geometric sequence.
a ramp measures 6 feet long. if the ramp is 12 inches tall, what is the horizontal distance it covers? i'll give brainliest to whoever answers first/correctly!
we know that
1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
A ramp measures------------------> 6 ft long
applying the Pythagorean theorem
c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall
a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft
the answer is
5.92 ft
Answer:
6.08 or so
Step-by-step explanation:
The height is 1 foot, while the length is 6 feet.
You can use the Pythagorean Theorum to solve this, as you plug in the values.
The theorum states that A squared plus B squared = C squared, where A is the length, and B is the width. (It doesn't matter if A is the width and B is the length either.)
So if we plug in the values:
1 squared plus 6 squared = C squared.
1 + 36 = 37
Since it is C squared, we can find the square root of 37, which is something like 6.0827625302982196889996842452021.
So usually we round to the hundredths place, so we can use 6.08.
Harry pays a tv priced £1200 plus VAT 20%. He pays £300 deposit and the balance in 10 equal monthly payments calculate the monthly payment
Answer:
£114
Step-by-step explanation:
total price of the tv = cost + tax
tax = o.2 x 1200 = 240
total price = 1200 + 240 = 1440
monthly payment = 1/10 x (1440 - 300) = 114
[tex] \frac{5}{6} \times \frac{7}{8} \times 1 \frac{5}{7} [/tex]
Answer:
5/4 or 1 1/4 will be your answer!
Step-by-step explanation:
oki, so let's simplify first ofc, then multiply.
5/6 x 7/8 x 12/7 =
35/48 x 12/7 =
420/336=(gcf of 420 and 336 is 84)
5/4=
1 1/4