Answer:
Step-by-step explanation:
A perfect square trinomial is the square of a binomial.
One of the special products and factors formulas that you should know is
(a + b)^2 = a^2 + 2ab + b^2; another is (a - b)^2 = a^2 - 2ab + b^2.
So, if you are given a trinomial and can use either of the above identities to rewrite it as the square of a binomial, you've got it.
Solve 2 - x= -7.
O A. x=-9
O B. x= 5
O C. x= -5
O D. x= 9
Answer:
x = 9
Step-by-step explanation:
2 - x= -7
Subtract 2 from each side
2- 2 - x= -7-2
-x = -9
Multiply by -1 on each side
x = 9
Which of the following is this?
-A balanced budget
-A budget deficit
-A budget surplus
1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me
Answer:
13
Step-by-step explanation:
1/3 of 6 1/2 multiply by 3/4 (56 divided by 7)
1/3* 13/2 * 3/4 * 56/7= 1*13*3*56/3*2*4*7= 13*3*56/3*56= 13
The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.
Answer: Dear friend my answer for this question is 86.
Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.
x + y = 14
x = 14 - y…..Eq..1
The nuber formed is 10x + y
If the number formed by reversing the digits is 18 less than the original number, what is the original number
On reversing the digit the number will be 10y + x
10y + x + 18 = (10x + y)
10y + x = 10x + y - 18
10y - y + x - 10x = - 18
9y - 9x = -18…Eq..2
Now substituting the value of x from Eq..1 to Eq..2
9y - 9 (14 - y) = - 18
9y - 126 + 9y = - 18
18y = 126 - 18
18y = 108
y = 108/18
y = 6
Thus 1s digit if the number is 6
Substituting the derived value of y in Eq..1 to derive value of x.
x = 14 - y
x = 14 - 6
x = 8
The 10s digit if two digit number is 8.
The original number formed is 86.
On reversing the digits, the number transform to 68, which is 18 less than original number
Answer the original number is 86.
PLEASE HELP ASAP the question is in the picture
can you please rotate the picture
How do I find the arc of a circle?\
Answer:
Step-by-step explanation:
Step-by-steP
LA FÓRMULA ES:
arc = πrΘ/180
Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answer:
The skirt was originally 24 dollars
Step-by-step explanation:
3/4 ( b+s) = 31.50
where b is the original price of the blouse and s is the original price of the skirt
b = 18
3/4 ( 18+s) = 31.50
Multiply each side by 4/3
4/3 * 3/4 ( 18+s) = 31.50 *4/3
18+s =42
Subtract 18 from each side
18+s-18 = 42-18
s =24
The skirt was originally 24 dollars
f(n) = 9+ 5n; 64
determine which term produces the given answer?
Answer:
the 11th term
Step-by-step explanation:
f(n) = 9+ 5n;
Let f(n) =64
64 = 9+5n
Subtract 9 from each side
64-9 = 9+5n-9
55 = 5n
Divide each side by 5
55/5 = 5n/5
11= n
What is the final amount if 1442 is increased by 9% followed by a 6% decrease?
Answer:
1,485.26
Step-by-step explanation:
100% is 1442
1% is 14.42
10% is 144.2
9% is 10 - 1 so its 129.78
1442 add 129.78 is 1 571.78
5% is 72.1
so add 72.1 and 14.42 86.52 and take it from 1571.78
answer is 1,485.26
5. The distance from the shovel to the treasure chest is
60 yards and the distance from the treasure chest to the
boat is 50 yards. How far is the boat from the shovel?
Answer: 110 yards
Step-by-step explanation:
From the question, the distance from the shovel to the treasure chest is
60 yards while the distance from the treasure chest to the boat is 50 yards. We are to calculate the distance from the boat from the shovel.
The distance from the boat from the shovel will be the addition of the distance from the shovel to the treasure chest which is 60 yards with the distance from the treasure chest to the boat is 50 yards.
= 60 yards + 50 yards
= 110 yards
Which division problem would have an estimated quotient of 3.5 if the divisor and dividend were rounded to the nearest whole number?
Answer:
Step-by-step explanation:
Weren't there possible answer choices from which to choose? If so, please share them.
7 3 + 4
-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.
2 2
If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.
Answer:
7 3 + 4
-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.
2 2
Step-by-step explanation:
Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national rental car company that charges a 12$ daily fee plus .30 per mile, he also find a rental car company that charges a 10$ daily fee, plus a .40 per mile under what conditions would it be less expensive to rent from the national car company?
Answer:
When Jeff travels more than 20 miles
Step-by-step explanation:
Let 'x' be the number of miles traveled by Jeff.
In order for the national car company to be less expensive, then the following condition must be met:
[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]
This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.
At the corner store near Billy’s
house, loose mixed nuts cost
$1.75 per 100 g. Write an
equation to represent the amount
of mixed nuts, n, he can buy if he
has d dollars. Then, use your
equation to determine how many
grams of mixed nuts Billy can buy
if he has $5.
Answer:
d = 0.0175n ---> required equation
Billy can buy 285.714 gram nut with $5
Step-by-step explanation:
cost of 100g loose nut = $1.75
dividing LHS and RHS by 100
cost of 100/100g loose nut = $1.75
Thus, cost of 1 gm loose nut = $0.0175
let the weight of loose nut be n gm
Multiplying LHS and RHS by n
cost of x g loose nut = $0.0175*n = $0.0175n
It is given that Billy spent d dollars to buy n gm nuts
thus,
d = 0.0175n ---> required equation
________________________________________________
He spent $5 to buy nuts
substituting value of d as 5 we have
0.0175n = 5
=>n = 5/0.0175 = 285.714
Thus, Billy can buy 285.714 gram nut with $5.
Grace orders groceries worth $49.65. About how much should she spend for 12% home delivery charges?
Answer:
$5.96
Step-by-step explanation:
To find 12% of 49.65 you multiply 49.65*0.12 (decimal equivalent of 12%) = 5.958. Since it's money, you need to round to the nearest cent.
Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
AC =
BC=
∡C=
degrees
Answer:
AC= 6.3 units (nearest tenth)
BC= 2.8 units (nearest tenth)
∠C= 64°
Step-by-step explanation:
Please see attached picture for full solution.
Picture attachment is below
Answer:
0.04
Step-by-step explanation:
Answer:0.04
Step-by-step explanation:4/100
Divide 140 in the ratio 1:2:7
Answer:14:28:98
Step-by-step explanation:
To divide a value by a ratio, we first find the total number of parts:
1+2+7 = 10
Then, we divide the value by the number of parts and multiply it by the number of parts in each section of the ratio:
140 divided by 10 = 14.
Part 1: 14 x 1 = 14
Part 2: 14 x 2 = 28
Part 3: 14 x 7 = 98
Use the method of cylindrical shells to find the volume of the solid generated by rotating the region bounded by the curves y=cos(πx/2), y=0, x=0, and x=1 about the y-axis
Answer:
1,45 cubic units
Step-by-step explanation:
The method of cylindrical shells demands that the volume of the solid is given by:
[tex]V=2\pi\int_a^b xf(x)dx[/tex] (1)
In this case you have that f(x) is:
[tex]f(x)=cos(\frac{\pi}{2}x)[/tex]
a = 0
b = 1
First, you solve the integral, by parts:
[tex]\int xf(x)dx=\int xcos(\frac{\pi}{2}x)dx=x(\frac{2}{\pi})sin(\frac{\pi}{2}x)-\int (\frac{2}{\pi})sin(\frac{\pi}{2}x)dx\\\\=(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)+C[/tex]
Next, you calculate the volume of the solid, by replacing the solution to the integral in the equation (1):
[tex]V=2\pi[(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)]_0^1\\\\V=2\pi[(\frac{2}{\pi})-(\frac{2}{\pi})^2]=1,45u^3[/tex]
hence, the volume of the solid generated is 1,45 cubic units
Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 30 inches tall and has a square base with sides that each measure 3 inches. How much paper will she use?
What is the value of this discriminant?
Answer:
The answer is A.
Step-by-step explanation:
The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :
D = b² - 4ac
D = (-4)² - 4(1)(4)
= 16 - 16
= 0
Choose the kind(s) of symmetry: point, line, plane, or none.
(A)
none
plane
point
line
it would be a Line
The line would be vertical right through the middle
can i get brainliest?
Segment AB has length "a" and is divided by points P and Q into AP, PQ, and QB, such that AP = 2PQ = 2QB.
a) Find the distance between point A and the midpoint of segment QB
b) Find the distance between the midpoints of segments AP and QB
Answer:
a) 7a/8; b) 5a/8
Step-by-step explanation:
Given:
AP = 2PQ = 2QB
Calculations:
1. A to the midpoint of QB
a = AP + PQ + QB
If 2PQ = 2QB.
PQ = QB and
AP = 2PQ
∴ a = 2PQ + 2PQ = 4PQ
PQ = a/4
AP = 2PQ = a/2
Let M be the midpoint of QB.
AM = AP + PQ + QM
= a/2 + a/4 + a/8
= 7a/8
2. Midpoints of AP and QB
Let N be the midpoint of AP
NM = NP + PQ + QM
= a/4 +a/4 + a/8 =
= 5a/8
Suppose f(x)=x^2 Find the graph of f(x-2) *Will make Brainliest If answered asap*
Answer:
the root is 2 . thus, the correct graph is graph 2
How many revolutions must be made by a wheel of diameter 2.8m in order to cover a distance of 484km?
A wheel is a circle.
Given diameter of wheel = 2.8 m
Then radius of the wheel = 2.8/2 = 1.4 m
Now we know that , circumference of circle =[tex]2\pi r[/tex]
Then,Circumference of wheel = 2 × 22/7 × 1.4
Circumference of wheel = 8.8 m
From the above we can conclude that ;
1 revolution = 8.8 m
x revolution = 484 km = 484000 m
Thus,[tex]x = \frac{1}{8.8} \times 484000 \\ \\ x = 55000[/tex]
Therefore, total of 55,000 revolutions are made by the wheel.Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)
A) Determine the exact value of the area of Triangle ABC.
B) Determine the perimeter of Triangle ABC to the nearest tenth.
Answer:
a). Area = 54 square units
b). Perimeter = 33.7 units
Step-by-step explanation:
Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).
(a). Area of the triangle ABC = [tex]\frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})][/tex] (Absolute value)
By substituting the values from the given vertices,
Area = [tex]\frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)][/tex]
= [tex]\frac{1}{2}[-36+0-72][/tex]
= [tex]\frac{1}{2}(-108)[/tex]
= (-54) unit²
Therefore, absolute value of the area = 54 square units
(b). Distance between two vertices (a, b) and (c, d)
d = [tex]\sqrt{(a-c)^{2}+(b-d)^2}[/tex]
AB = [tex]\sqrt{(-4-1)^{2}+(-2-7)^{2}}[/tex]
= [tex]\sqrt{106}[/tex]
= 10.295 units
BC = [tex]\sqrt{(1-8)^2+(7+2)^2}[/tex]
= [tex]\sqrt{130}[/tex]
= 11.402 units
AC = [tex]\sqrt{(-4-8)^2+(-2+2)^2}[/tex]
= 12 units
Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12
= 33.697
≈ 33.7 units
I need more assistance :D Instructions: Using the image, find the distance between the points given on the graph.
Answer:
I usually explain even in the answer.
So we use som[tex]\sqrt{x}[/tex]ething called distance formula which is branched of Pythagorean theorem.
But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.
The vertical is 1, you can find them by calculating how long is it and how tall.
Use pythogorean theorem from the formula and do 5^2+1^2 = c^2
25+1 = 26, so the answer is √26
I am pretty sure answer is right. Always take abolute value
√26
Probability: Please help me answer the question attached.
Answer:
most probably A part 1 by 12 . and i think it's also . d part 1 by 3
Please answer !!!!!!!! Will mark brainliest correct answer !!!!!!!!!!!
Answer:
B
Step-by-step explanation:
I had that same answer. I did it with my teacher and he said it was b
2.5(2z + 5) = 5(z + 2.5)
Answer:
z is any real number
Step-by-step explanation:
2.5(2z + 5) = 5(z + 2.5)
Distribute
5z + 12.5 = 5z +12.5
Subtract 5z from each side
5z -5z + 12.5 = 5z-5z +12.5
12.5 = 12.5
This is always true so z can be any real number
Answer:
All Real Numbers
Step-by-step explanation:
We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),
[tex]2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers[/tex]
Solution; All Real Numbers
What happens when you see 42 (17 – 15) / (3 + 1) – 5 ? What do you do first? The mnemonic PEMDAS or Please Excuse My Dear Aunt Sally can help you remember the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. If your expression doesn't have every type of operation, the order of operations is still the same. If it is missing one, just skip it and move on to the next operation. Which operation is done first to evaluate this expression: 5 + 7 x 2 - 9
Answer:
The operations done first are:
a) 42 (17 – 15) / (3 + 1) – 5 ; (17 -15) or (3 + 1) (parenthesis) are done first
b) 42 (17 – 15) / (3 + 1) – 5 ; 7 × 2 (multiplication) is done first
Step-by-step explanation:
from the mnemonic PEDMAS, the order of operations are: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
hence in the first expression : 42 (17 – 15) / (3 + 1) – 5, the parenthesis (bracket is simplified first as follows:
(17 - 15) = (2) ; and (3 + 1) = (4) ; hence the expression will be simplified as follows: 42 (2) / (4) - 5.
Next, since there is no exponent in the expression, Multiplication follows:
42 (2) = 42 × 2 = 84 ; hence he expression becomes: 84 / 4 - 5
Next division follows : 84/4 = 21, therefore the expression becomes
21 - 5.
Finally, subtraction follows : 21 - 5 = 16
b) 5 + 7 x 2 - 9;
first, multiplication is done: 7 × 2 = 14, hence the expression becomes :
5 + 14 - 9.
Next in the order is addition : 5 + 14 = 19, hence, the expression becomes:
19 - 9.
Finally, subtraction follows: 19 - 9 = 10
Answer:
multiply
Step-by-step explanation: