Answer:54 is the54 d
Step-by-step explanation:
no sorry
Use the completing the square method to transform the equation x2 + 2x = 13 into an equation of the form (x + a)2 = b, where ɑ and b are real numbers What are the values of ɑ and b?
Answer:
(x+1)² = 14
a = 1, b = 14
Step-by-step explanation:
Given the equation, x² + 2x = 13
We are to use the completing the square method to express in the form
(x + a)² = b
x² + 2x = 13
Add the square of half of the coefficient of x to both sides
Coefficient of x = 2
Half of the coefficient of x = 2/2
Square of the result = (2/2)²
Square of the result = 1²
Add (1/2)² to both sides
x² + 2x + (1)² = 13 + (1)²
(x+1)² = 13 + 1
(x+1)² = 14
Compare with (x+a)² = b
a = 1 and b = 14
What is the missing number? I’ll mark brainly
Answer:
I think it is 4
I am not sure about it
Find two integers whose sum is 5 and product is -66 TWO INTEGRES
NOT 1 TWO
Answer:
-6 and 11
Step-by-step explanation:
The only factors of 66 are 11, 6, 2 and 3
11*6 is the only pair whose product is 66
The difference betwen 11 and 6 is 5
11 must be positive and 6 negative since the sum is positve
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is 45.
Question:
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.
Answer:
101.5cm²
Step-by-step explanation:
The figure for the trapezium ABCD is attached to this response.
To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;
A = [tex]\frac{1}{2}[/tex] x (a + b) x h ------------------(i)
Where;
A = area of the trapezium
a and b are the parallel sides of the trapezium
h = height of the trapezium.
As shown in the figure,
AB and CD are parallel
Therefore, we can say that;
a = AB
b = CD
Also, from the figure,
The height of the trapezium is BP
Therefore, we can say that;
h = BP
We know that;
a = AB = 4cm
b = CD = 25cm
h = BP = 7cm
Substitute these values of a, b and h into equation (i) as follows;
A = [tex]\frac{1}{2}[/tex] x (4 + 25) x 7
A = [tex]\frac{1}{2}[/tex] x (29) x 7
A = 101.5
Therefore, the area of the trapezium is 101.5cm²
2
А
B
G
30°
F
D
NOTE: Angles not necessarily drawn to scale.
Answer:
x = 60°
Step-by-step explanation:
∠ CGE = ∠ FGD = 30° ( vertical angles )
∠ CGB = 90° , then
x + 30° = 90° ( subtract 30° from both sides )
x = 60°
Find the angle for this problem
Answer:
ans: 31°
Step-by-step explanation:
<EFG = <EFH + <HFG
2x+52= 21 + ( x+31)
2x-x= 21 +31 -52
x= 0
so our question is to find <HFG so,
x+31°= 31°
The function C(x) = 400x - 0.2x ^ 2 represents the total costs for a company to produce a product, where in dollars and x is the number of units sold. Which statement is true? is the total cost
Answer: it b y’all
Step-by-step explanation: I took the test
Answer:
B
Step-by-step explanation:
To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0. C(x) = 400x - 0.2x² dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation, C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B.
Which side lengths do not form a right triangle?
a. 5, 12, 13
b. 10, 24, 28
c. 15, 36, 39
d. 50, 120, 130
Answer:
B.
Step-by-step explanation:
28 is not a multiple of 13.
How does 3/4 and 9/12are alike and different?
A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?
Please help I’ll give brainliest
Answer:
33
Step-by-step explanation:
The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33
Which one is it?
a) <
b) =
c) >
Answer:
A: less that
Step-by-step explanation:
4( 14)+3
36+3= 39
39 (2+9)6-7
(11)6-7
66-7
59
39<59
factorize: 9x^2 - 24xy + 16y^2
9x²-24xy+16y²
(3x)²-2.(3x)(4y) +(4y)²
(3x-4y)²
(3x-4y)(3x-4y)
Answer:
[tex](3x -4y)^2[/tex]
Step-by-step explanation:
[tex]9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2[/tex]
[tex]=(3x)^2 -2(3x \times 4y) + (4y)^2\\[/tex]
a = 3x , b = 4y . The expression [tex]a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2[/tex]
[tex]=(3x -4y)(3x - 4y)[/tex]
[tex]9x^2 - 24xy + 16y^2 = (3x -4y)^2[/tex]
A teacher buys a bag of chips and a candy bar for each of the 25 students in her class. Each bag of chips cost $0.40. The teacher spends as total of $65 for chips and candy bars
Answer: 2.20 per candy bar
Step-by-step explanation:
1. 0.40(25) + x(25) = 65
2. 10 + 25x = 65
3. 25x = 55
4. x = 2.20
John starts on the ground floor of a building. He runs up five flights of stairs, then runs
up 6 flights of stairs, then runs down 8 flights of stairs, then runs up four flights of stairs,
and then stops. Each story of the building is 11 feet high. How many feet above the
ground is John when he stops? PLS HELP
Answer:
77 feet above the ground.
Step-by-step explanation:
After going up 11 flights, (5 +6), he goes down 8, which brings you to 3 and then back up to 7 (3 +4). Since each story is 11 feet high, you multiply 7 and 11, to get a total of 77.
At a show, there are 19 adults, 45 teenagers, and 36 children.
What is the probability that a person chosen at random from the audience is not a teenager?
Answer:
55% or 0.55 or 11/20
Step-by-step explanation:
probability the person chosen is an adult or child out of all
so 19+36/19+36+45
55/100
The probability that the selected person is not a teenager is [tex]\frac{11}{20}[/tex].
What is probability?
Probability is a measure of happening or non happening of the outcomes of the random experiment.
Probability formulaP(E) = Total number favorable of outcomes/ Total number of outcomes
Where,
P(E) is the probability of an event.
According to the given question.
Total number of adults in the audience = 19
Total number of teenagers in the audience = 45
Total number of children in the audience = 36
Total audience = 19 + 45 + 36 = 100
Now, the probability that the selected person is teenager = [tex]\frac{45}{100} = \frac{9}{20}[/tex]
Therefore,
The probability that a selected person is not a teenager
= [tex]1 -\frac{9}{20}[/tex]
= [tex]\frac{11}{20}[/tex]
Hence, the probability that the selected person is not a teenager is [tex]\frac{11}{20}[/tex].
Find out more information about probability here:
https://brainly.com/question/11234923
#SPJ2
Simplfiy the expression
12/c^-8d^2?
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458
Answer:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Step-by-step explanation:
The amount of profit y made by the company from selling each widget at x price is modeled by the equation:
[tex]y=-x^2+72x-458[/tex]
Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:
[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Which expression is equivalent to
(3m² + 5m - 2) + (-2m +18)?
Someone answer ASAP
3m^2 +5m-2-2m+18
3m^2 +3m+16
Answer:
3m² + 3 m + 16
Step-by-step explanation:
( 3 m ² + 5 m - 2 ) + ( - 2m + 18 )
Remove the unnecessary parantheses and rewrite
3 m ² + 5 m - 2 - 2 m + 18
combine like terms
3m² + 5 m - 2 m + 18 - 2
calculate the sum
3m² + 3 m + 16
Carlos drove 8x + 13 miles in two
days. If he drove 3x + 5 miles on the
first day, how many miles did he drive
on the second day?
Answer:
5x+8
Step-by-step explanation:
Answer:5x+8
Step-by-step explanation:
8x+13
-3x
5x+13
-5
5x+8
please help! 10 points, thank you
Answer:
261.5 ft^2
Step-by-step explanation:
Surface Area of a rectangular prism = Length x Width x Height
= 8.5ft x 6ft x 5.5ft
= 261.5 ft
What is 8 weeks from June 30th
Answer:
The answer is25th August
A ratio is equal to 3:8 if the antecedent is 21 find the consequent
Answer:
56
Step-by-step explanation:
To find the "consequent," write out and solve an equation of ratios:
3 x
------- = ------
8 21
Through cross-multiplication, this yields 8x = 63, so that x must be x = 63/8.
Alternatively, solve this modified version of the original equation for x:
3 21
------- = ------
8 x
Then 3x = 8(21), or x = 8(7), or x = 56.
Note that 21 and 56 are in the ratio 3:8
What is the value of n?
Answer:
n = 28 degree
Step-by-step explanation:
2n + 17 + 2n - 5 + 2n = 180 degree (sum of interior angles of a triangle)
6n +12 = 180
6n = 180 - 12
n = 168/6
n = 28 degree
At a sale this week, a Michael Kors bag is on sale for $258.40. This is a 62% discount off the original price. What is the original price.
Calculate the sizes of the unknown angles in each diagram.
Please, answer with explanation.
Step-by-step explanation:
a) 2z+3z+4z=180
9z=180
z=20
So,three angles are 40,60 and 80
b) (y+30)+(2y+80)+(y+10)=180
y+30+2y+80+y+10=180
4y+120=180
4y=60
y=15
Three angles are 45,110,25
El profesor Héctor y sus alumnos organizaron una excursión a
la Ciudad de México. Visitarán el Centro Histórico, el Castillo de
Chapultepec y el Museo de Antropologia. El costo del transporte
por alumno es de $310.75 y no incluye alimentos.
a) Para pagar el transporte, el profesor Héctor tiene que juntar
el dinero de los 37 alumnos que participaran en la excursion
¿Cuánto dinero debe reunir?
Answer:
$8.39 por pe rsona
Step-by-step explanation:
Please help I need it!!!
Answer:
I think it is the first one i think
Step-by-step explanation:
In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the total percent decrease.
Answer: 237,500 total decrease
Step-by-step explanation:
this is the easiest question
Answer: [tex]3\dfrac{2}{6}\ h[/tex]
Step-by-step explanation:
Given
Rami practices his saxophone for [tex]\frac{5}{6}[/tex] hour on 4 day each week
So, for a week she practices around
[tex]\Rightarrow \dfrac{5}{6}\times 4\\\\\Rightarrow \dfrac{20}{6}[/tex]
Converting it into mixed fraction
[tex]\Rightarrow \dfrac{20}{6}=\dfrac{18+2}{6}\\\\\Rightarrow 3\dfrac{2}{6}\ h[/tex]
Answer:
33/100
Step-by-step explanation: