Step-by-step explanation:
a)
[tex](3x-4y+2z)^2\\=9x^2+16y^2+4z^2+2.3.(-4)xy+2.3.2xz+2.(-4).2yz\\=9x^2+16y^2+4z^2-24xy+12xz-16yz[/tex]
b)
[tex](4a+1)^3\\= 64a^3+3.(4a)^2.1+3.4a.1^2+1\\=64a^3+48a^2+12a+1\\[/tex]
6
a
4
+
5
b
3
when
a
=
3
and
b
=
−
3
Answer:
27
Step-by-step explanation:
4a + 5b
12 + 15
=27
audio
For the canned food drive, 6 students each collected the same number of cans. They collected 48 cans in all. How many cans did each student collect?
D
Y
T
What criteria can be used to prove these two triangles congruent?
HL
SSA
ASA
AAS
Previous
Answer:
AAS
Step-by-step explanation:
Answer:
Angle-side-angle is a rule used to prove whether a given set of triangles are congruent.
The ASA rule states that:
If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.
Angle-Angle-Side (AAS) Rule
Angle-side-angle is a rule used to prove whether a given set of triangles are congruent.
The AAS rule states that:
If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.
In the diagrams below, if AC = QP, angle A = angle Q, and angle B = angle R, then triangle ABC is congruent to triangle QRP.
Simplify (-4a^5b) (2a^2b)
Answer:
[tex]-8a^{7b}[/tex]
Step-by-step explanation:
[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]
[tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]
Jaiver bought a new TV for 479.76. He will make equal payments each month for 2 years . Estimate each payment.
Answer:
$19.99
Step-by-step explanation:
There are 12 months in a year, so in 2 years, there are 24 months.
Find how much each payment will be by dividing the cost by 24:
479.76/24
= 19.99
So, each payment will be $19.99
Can someone pls give me the answer to this?
it would be 10
Step-by-step explanation:
once you solve the problem which should equal up to 3000 then you would divide 30000÷3000 and get the answer of 10
Need help with figuring out this zingoes problem asap, willing to give brainliest!
Answer:
The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes
Step-by-step explanation:
As far as I can tell, all the correct examples are
1) Symmetrical
2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)
The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line
(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)
In base 2, what is the value of 1011₂ + 10111₂
1011₂ + 10111₂
= (1000₂ + 10₂ + 1₂) + (10000₂ + 100₂ + 10₂ + 1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 2 (1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 10₂
= 10000₂ + 1000₂ + 100₂ + 100₂ + 10₂
= 10000₂ + 1000₂ + 2 (100₂) + 10₂
= 10000₂ + 1000₂ + 1000₂ + 10₂
= 10000₂ + 2 (1000₂) + 10₂
= 10000₂ + 10000₂ + 10₂
= 2 (10000₂) + 10₂
= 100000₂ + 10₂
= 100010₂
Help me please???!!!!!!!
Answer:
im not sure
go on volume calculator
Step-by-step explanation:
Al precio de un producto se le aplica un descuento del 30% y al nuevo precio otro descuento del 30% cual es el descuento total?
Answer:
The total discount is 51%.
Step-by-step explanation:
A 30% discount is applied to the price of a product and another 30% discount to the new price. What is the total discount?
Let the price is p.
After first discount, the price is
= 70% of p = 0.7 p
After second discount, the price is
= 70% of 0.7 p
= 0.7 x 0.7 p
= 0.49 p
So, let the total discount is d.
[tex]d = \frac{p - 0.49 p}{p}\times 100 = 51%[/tex]
The vertices of quadrilateral LMNP are L(-1 , 7), M(4,9), N(8, -1), and P(3,-3). Using the distance or slope formula(s), determine the most precise classification of LMNP: parallelogram, rectangle, rhombus, or square
Answer:
Its a rectangle.
Step-by-step explanation:
After graphing the points, we can quickly figure out it cant be a square.
Then, when we draw the sides, we see it has to be a rectangle, since each side has a perfect 90 degree angle, and the opposite side lengths are parrelel.
Answer:
Step-by-step explanation:
A T.V. is regularly priced at $600, but it is on sale for 20% off. What's the sale price?
Answer:
$480
Step-by-step explanation:
multiply the normal price $600 by 20 then divide it by one hundred
the discount is $120
the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.
Answer:
Step-by-step explanation:
Method 1: Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80. We get $480 as the sale price.
Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120. Then subtract this discount from the regular price, $600, obtaining $480.
Simplify 45÷2×8-12+42
Please show working
Answer:
210
Step-by-step explanation:
Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)
45 ÷ 2 = 22.5
22.5 × 8 = 180
180 - 12 = 168
168 + 42 = 210
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Have a great summer :)
11. The length of a rectangle is decreased by 25%
and the width is increased by 40%. Calculate
the percentage change in the area of the
rectangle.
Answer:
Step-by-step explanation:
given.quesion.
The length of a rectangle is decreased by 25% and the width has increased by 40% calculate the percentage change in the area of the rectangle
to. find.
area of the rectangle
given
decreased. 25•/•
increased.40•/•
solusion
Length = L
Breadth = B
Original area = L x B
New area = A = L x (1 - 25%) x B x (1 + 40%)
A = L x B x 0.75 x 1.40 = L x B x 1.05
Therefore the area of the rectangle has increased by 5%.
required answer.
5•/•
answer. with. explamation. in. attachment.
hope. it's. helps. you.
(4/9)^-1=
A. -4/9
B. 9/4
C. -9/4
Answer: 9/4
Step-by-step explanation: Think of [tex](\frac{4}{9})^{-1}[/tex]as [tex]\frac{4^{-1} }{9^{-1}}[/tex].
Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and
we can change 9⁻¹ to 9¹ by moving it to the numerator.
So we have 9¹/4¹ which simplifies to 9/4.
Which expression makes the equation true for all values of x?
16x – 16 = 4(.? _)
A 4x - 4
B 4x - 16
C 2x - 2
D 12x - 12
Answer:
16x - 16 = 4(4x - 4) Step-by-step explanation:
The diameter of a strand of rope is 1.2 ×10^-3 inch. The diameter of a strand of floss is 2.0 ×10^-4 inch.
How much longer is the diameter of the strand of rope than the diameter of the strand of floss?
A. 2.0 ×10^-7 inch
B. 1.0 ×10^-7 inch
C. 2.0 ×10^-3 inch
D. 1.0 ×10^-3 inch
Answer:
D. 1.0 x 10^-3
Step-by-step explanation:
1.2 ×10^-3 = .0012
2.0 ×10^-4 = .0002
.0012
.0002
_______
.0010 = 1.0 x 10^-3
Answer:D
Step-by-step explanation:
What is true of the type of angle in this lesson? It measures half the sum of the arc it intercepts. It measures twice the sum of the arc it intercepts. It measures half the sum of the arcs it intercepts. It measures twice the sum of the arcs it intercepts.
Answer:
Step-by-step explanation:
Answer: it is C because it is true of the type of angle in this lessonc. It measures half the difference of the arcs it intercepts.
9
State the various transformations applied to the base function f(x) = [x] to obtain a graph of the function g(x) = -[x]+2
A reflection about the x-axis and a vertical shift upward of 2 units.
A reflection about the y-axis and a vertical shift downward of 2 units.
A reflection about the y-axis and a vertical shift upward of 2 units.
A reflection about the x-axis and a vertical shift downward of 2 units.
Answer:the answer is B
Step-by-step explanation:
What’s the answer?? To question 4
Answer:
jkjkjkjkjkjk
Step-by-step explanation:
jkjkjkjkjkjkj
Goods bought for $1500 had to be sold off at a loss of 30%. The selling price was ?
A $1950
B $1050
C $450
D $300
Answer:
B $1050
Step-by-step explanation:
Determine 30% of the price
1500 * 30%
1500 *.30
450
Subtract this from the price
1500-450
1050
Answer:
B $1050
Step-by-step explanation:
0.3 x 1500 = 1050
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
8 17/18
Step-by-step explanation:
3 5/6 + 5 1/9
23/6 + 46/9
161/18
8 17/18
Angle measurements 84 degree help find out what’s the other side degree
Answer: 84 degrees
Step-by-step explanation: because of corresponding angles
25+ POINTS WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
perimeter of rectangle=a+b+c
=3x+3x+15
=6x+15
if perimeter of rectangle is 90,
perimeter=a+b+c
90=3x+3x+15
90-15=6x
75/6=x
12.5=x
Answer:
X=12.5
Step-by-step explanation:
3x+3x+15
If it equalls 90 then write it as 6x+15=90
Now isolate X.
6x+15=90
6x=75
x=12.5
CHECK UR WORK
(3*12.5)+(3*12.5)+15=90
37.5+37.5+15=90
75+15=90
90=90
Solve the system of equations.
3x – 7y = 5
9y = 5x + 5
which expression is equivalent to 4(3x+2)-5x
A = 7x+2
B = 7x+8
C+12x+2
D=2x+8
Answer:
B) 7x + 8
Step-by-step explanation:
distribute 4 first to get:
12x + 8 - 5x
combine like terms to get:
7x + 8
Terry sees this offer:
Refurbished Phone = 35% off
Now only £78
How much was the phone before the discount?
Find the inverse of f(x)
Answer:
[tex]\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}[/tex]
Step-by-step explanation:
[tex]f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}[/tex]
The roots of the equation 2x² – 5 = 0 are
1) imaginary
2) real, rational, and equal
3) real, rational, and unequal
4) real and irrational
Will give brainlest to the correct answer
Answer:
4
Step-by-step explanation:
x = root under 5/2
so it is real and irrational number
i need help on this assignment
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
[tex]2\times l\times w=2lw[/tex] ...(i)
The product of twice of the length l and the height is:
[tex]2\times l\times h=2lh[/tex] ...(ii)
The product of twice of the width w and the height h is:
[tex]2\times w\times h=2wh[/tex] ...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
[tex]A=2lw+2lh+2wh[/tex]
[tex]A=2(lw+lh+wh)[/tex]
Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].