Answer:
A. 12p + 12q
Step-by-step explanation:
12(p + q)
= 12p + 12q
The equation can be simplified down by distributing, but cannot be simplied any further because there is no like terms.
Answer:
12p + 12q
Step-by-step explanation:
For this questions, you will need to use the distributive property.
Since 12 is out of the bracket, you need to multiply everything that is inside the bracket with 12.
Complementary angles in real life photos
Amanda wants to buy a new iPod that costs $250. When she gets to the Apple store
she sees they are having a sale for 15% off all iPods. She also has a coupon that takes
an additional 15% off the discounted price. What is the final cost of the iPod? (multi
step problem) (first you need to find the price when you take 15% off, and then you
take an additional 15% off of the discounted price)
Answer:
Answer:
15% off 212.5
30% off 175$
Step-by-step explanation:
15+15=30 so
250/100=2.5
2.5x30=75
250-75
solve for x: -3(x-2)^2 + 17 =0
Before doing the question, let's recall the quadratic formula which is used to find the roots of a quadratic equation ;
For any quadratic equation of the form ax² + bx + c = 0 , it's roots are given by the quadratic formula as :
[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]Where , D = b² - 4ac (Discriminant)
Now , simplifying the equation :
[tex]{:\implies \quad \sf -3\{(x)^{2}+2^{2}-2\times 2\times x\}+17=0\quad \qquad \{\because (a-b)^{2}=a^{2}+b^{2}-2ab\}}[/tex]
[tex]{:\implies \quad \sf -3(x^{2}+4-4x)+17=0}[/tex]
[tex]{:\implies \quad \sf -3x^{2}-12+12x+17=0}[/tex]
[tex]{:\implies \quad \sf -3x^{2}+12x+5=0}[/tex]
Dividing both sides by -1 will yield :
[tex]{:\implies \quad \sf 3x^{2}-12x-5=0}[/tex]
Now , it's in the form of the standard quadratic equation , where a = 3 , b = -12 , c = 5 , and D = (-12)² - 4 × 3 × -5 = 144+60 = 204
Now, By quadratic Formula ;
[tex]{:\implies \quad \sf x=\dfrac{-(-12)\pm \sqrt{204}}{2\times 3}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{12\pm 2\sqrt{51}}{2\times 3}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{\cancel{2}(6\pm \sqrt{51})}{\cancel{2}\times 3}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{6\pm \sqrt{51}}{3}}}}[/tex]
Rectangle JKLM is shown. What is the value of x?
HELP ME PLEASE?!! dont understand
Answer: A
Step-by-step explanation:
The triangles are similar by AA. Angles BPA and CPD are congruent because they are vertical angles, and angles ABP and CDP are congruent because all right angles are congruent.
determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?
i need help again!!
A translation followed by a reflection
a
Find all the missing elements:
B
A = 50°
C = 35°
А
с
b = 13
b
B = [?]° a = [] c=[ ]
a = C
Answer:
Step-by-step explanation:
B = 180 - 50 - 35 = 115 degrees
By the law of sines,
[tex]c=\frac{13\sin 35^{\circ}}{\sin 115^{\crc}}[/tex]
And [tex]a=\frac{13\sin 50^{\circ}}{\sin 115^{\circ}}[/tex]
Answer:
B=95 a= 10 c= 7.5
A scientist uses a submarine to study ocean life.
•She begins at sea level, which is an elevation of o feet.
• She descends 11.7 feet.
• She then ascends 3.4 feet.
•Next, she travels down a second time, 85.4 feet.
How many feet must she now rise to get back to sea level?
Triangle RST, with vertices R(2,3), S(6,7), and T(4,8), is drawn inside a rectangle, as
shown below.
10
9
T
00
8
2
6
6
V
5
3
4
R
2
-2
-1
2
3
4
5
8
9
10
What is the area, in square units, of triangle RST?
Answer:
Step-by-step explanation:
The area of the larger rectangle is (4)(5)=20.
The area of the top left right triangle is (1/2)(2)(5)=5.
The area of the top right right triangle is (1/2)(2)(1)=1.
The area of the bottom right triangle is (1/2)(4)(4)=8.
So A = 20 - 5 - 1 - 8 = 15 - 9 = 6.
a circle has a radius of 15 cm determine the excavt area
Answer:
Step-by-step explanation:
area=π r²
=π×15²
=225 π cm²
Solve for x
A.-8
B.8
C.-9
D.9
f(x) = (9 + 2x)²
f(2) = ?
»f(x) = (9 + 2x)²
»f(2) = (9 + 2(2))²
»f(2) = (9 + 4)²
»f(2) = 13²
»f(2) = 169✅
[tex]\\ \rm\hookrightarrow f(x)=(9+2x)^2[/tex]
f(2):-
put 2 inplace of x
[tex]\\ \rm\hookrightarrow (9+2(2))^2[/tex]
[tex]\\ \rm\hookrightarrow (9+4)^2[/tex]
[tex]\\ \rm\hookrightarrow 13^2[/tex]
[tex]\\ \rm\hookrightarrow 169[/tex]
What is the slope of the line that passes through the points (-3, 5) and (1, 7)?
Answer:The slope is 2 .
Step-by-step explanation: mark branlest if right!
Answer:
1/2
Step-by-step explanation:
In the attachment below
Calculate the kinetic energy of a boy of mass 65kg running with average speed of 20m/s (3mks)
This is equivalent to 13 kilojoules.
=======================================================
Work Shown:
m = 65 kg = mass
v = 20 m/s = velocity
KE = kinetic energy
KE = (1/2)*m*v^2
KE = (1/2)*65*(20)^2
KE = 13000 joules
This can be written as 13 kilojoules since "kilo" means "1 thousand"
The abbreviation of the unit "joules" is the letter J.
Solve the equation and enter the value of x below
-9x-3 = 60
Answer:
-7
Step-by-step explanation:
-9x-3=60
add 3 to each side to cancel -3
-9x-3+3=60+3
simplify
-9x=63
divide by -9 to cancel the -9
-9x/-9=63/-9
simplify
x=-7
four times the sum of a number n and five is equal to 100. find n
Answer:
N=20
Step-by-step explanation:
If
x
=
4
and
y
=
5
, evaluate the following expression:
3
(
x
+
y
)
Answer:
3(4+5)
Step-by-step explanation:
just fill in the numbers for x and y
Answer:
3(x + y)
x = 4 y = 5
3(4 + 5)
12 + 15
= 27
Step-by-step explanation:
2 numbers whose product is 40 and sum is -13
2 numbers whose product is 28 and sum is -11
2 numbers whose product is
15 and sum is -16
2 numbers whose product is -14 and sum is 5
2 numbers whose product is -5 and sum is -4
2 numbers whose product is -10 and sum is -3
2 numbers whose product is -56 and sum is 1
2 numbers whose product is -20 and sum is 1
PLEASE HELP IM DESPERATE
Answer:
1. -5 and -8
2. -7 and -4
3. -15 and -1
4. 7 and -2
5. -5 and 1
6. 2 and -5
7. -8 and 9
8. 5 and -4
Step-by-step explanation:
Which expression is equivalent to 486 – 9 + 6 + 33 × 2? A . [(486 – 9) + (6 + 33)] × 2 B . 486 – [(9 + 6 + 33) × 2] C . (486 – 9) + 6 (33 × 2) D . (486 – 9 + 6) + (33 × 2)
Answer:
D . (486 – 9 + 6) + (33 × 2)
Step-by-step explanation:
Which expression is equivalent to 486 – 9 + 6 + 33 × 2?
486 – 9 + 6 + 33 × 2
486 – 9 + 6 + 66
477 + 6 + 66
549
D . (486 – 9 + 6) + (33 × 2)
477 + 6 + 66
549
Hope this helps!
Which is the greatest
.......62% is the greatest......
What is the area of a rectangle with a length of 625 centimeters and a width of 235 centimeters?
Step-by-step explanation:
Area=Length ×Width
so take 625×235=
which is..
146875 square cm
A gallon of milk cost $2.79 in 2000. In 2015,it cost $3.98.
I need help please I need help
Answer:
2 • (g - 2) • (4g + 3)
Step-by-step explanation:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
(23g2 - 10g) - 12
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
8g2 - 10g - 12 = 2 • (4g2 - 5g - 6)
Trying to factor by splitting the middle term
3.2 Factoring 4g2 - 5g - 6
The first term is, 4g2 its coefficient is 4 .
The middle term is, -5g its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
4g2 - 8g + 3g - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
4g • (g-2)
Add up the last 2 terms, pulling out common factors :
3 • (g-2)
Step-5 : Add up the four terms of step 4 :
(4g+3) • (g-2)
Which is the desired factorization
Final result :
2 • (g - 2) • (4g + 3)
pls help anyone. im no good at math im starting to cry ):
Answer:
Step-by-step explanation:
1. (A) 96:38, 38:96, 96/38
(B) The two ratios are the same as they represent the same thing just reversed
2(A) 38:46
(B) The simplest form means that you must simplify it and you get 19: 23
3 (A) For every 1 documentary movie there is 2 comedy movie
(B)For every3 kid movie, there is 4 horror movie
hope that helps, sorry for the simplified answers as I am in a bit of a rush too
The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer? *
Answer:
$28.89
Step-by-step explanation:
[tex]398.5\times7.25[/tex]%
Calculate
[tex]398.5\times0.0725[/tex]
Calculate the product or quotient
[tex]28.89125[/tex]
I hope this helps you
:)
The side-by-side boxplots show the ages of all Oscar winners for Best Actress (females) and Best Actor (males). It's easy to see that both distributions contain outliers (they're stars in the plot). Given that the median age of a man who won Best Actor is 42, Q1 = 39
You are playing a dice game in which you bet $10 and roll two dice.
If you roll 2-8, you lose your bet.
If you roll 9-10, you win $10.
If you roll 11-12, you win $50.
Answer:
(view picture)
Step-by-step explanation:
i got this from the answer section after getting it wrong the first time it’ll show the answer
Please Help Me Complete My Assignment I'm On Question 9
Answer:
B
Step-by-step explanation:
Simply choose an x coordinate and plug it into the equations from the choices given.
i.e. where x=1
y=2(1)^2 - 4(1)
y= 2-4
y= -2
it can then be seen that where x=1 on the graph, y= -2 aligns perfectly
Answer:
B
Step-by-step explanation:
In y = 2x^2-4x, we put y = 0 to represent the intersection points on the x-axis of the graph. (Since y = 0 is always on the x-axis)
For 2x^2-4x = 0, using the quadratic formula, we get x = 0 and x = 2.
This matches the int. points on the graph.
11 12 13 14 15
A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?
length = (x − 8) units and width = (x − 9) units
length = (x + 9) units and width = (x + 8) units
length = (x − 6) units and width = (x − 12) units
length = (x + 12) units and width = (x + 6) units
Answer:
The results are the opposite sign of x1 and x2.
[tex]lenght \: = (x - 8) \: and \: width \: = (x - 9)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 17x + 72 = 0[/tex]
[tex]Δ = {(17)}^{2} - 4(1 \times 72)[/tex]
[tex]Δ = 289 - 288 = 1[/tex]
[tex]x1 \: and \: x2 = \frac{17± \sqrt{1}}{2} [/tex]
[tex]x1 = \frac{17 + 1}{2} = 9[/tex]
[tex]x2 = \frac{17 - 1}{2} = 8[/tex]
f(x) = (x + 2)²
f(5) = ?
»f(x) = (x + 2)²
»f(5) = (5 + 2)²
»f(5) = 7²
»f(5) = 49✅
~Hello! I will try to help you!
•Given : -
f(x) = (x + 2)² f(x) = (x + 2)(x + 2) f(x) = x² + 4x + 4•To Find : -
f(5) = ?•Step-by-step explanation : -
[tex] \Rightarrow \sf f(x) = {x}^{2} + 4x + 4[/tex]
»Just substitute the value 5 into the function f(x) above, then:-
[tex] \Rightarrow \sf f(5) = {5}^{2} + 4(5) + 4 \\ \Rightarrow \sf f(5) = 25 + 20 + 4 \\ \Rightarrow \sf f(5) = \bf49[/tex]
With this it's done!