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3 years ago

Evaluate 2^2⋅4^3=Your answer

Mathematics

1 answer:

ivanzaharov [21]3 years ago

6 0

Answer:

256

Step-by-step explanation:

First, handle the exponent:

2²=4 (2*2=4) and 4³=64 (4*4=16*4=64)

Now multiply those two outcomes:

4*64=256

This equation is also known as 4⁴

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Choose the graph which represents -6x - 5y = -10

Anna007 [38]

Answer:

y = 2 + ((-)6/5)x

Step-by-step explanation:

-6x-5y=-10

add 6x to both sides.

-5y = -10 +6x

divide both sides by -5

y = 2 - (6/5)x

Plug in 0 for x to get the y intercept:

f(0) = 2 - (6/5) (0)

y = 2

(0, 2) is the y intercept.

Do the same for values such as -1, -2, 1, and 2, etc.

Then graph it.

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4 years ago

A store offers discounts on lunch-size chip bags when buying larger quantities. The graph below represents the total cost, in do

BlackZzzverrR [31]

Answer: The correct answer on edgen is

9 0

3 years ago

Read 2 more answers

Geometry problem help! Please refer to the image below...

Vinil7 [7]

Answer:

A. 1/3

B. √10

C. -1, 1

D. √8, 6

E. congruent and opposite pairs parallel

F. perpendicular, not congruent

G. rhombus, explanation below

Step-by-step explanation:

Hey there! I'm happy to help!

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Slope is the rise over the run. Let's look at F to G.

We are going from -1 to 2 on our x-axis (run), so our run is 3 units.

Our rise is 1 unit as we go from 2 to 3 on the y-axis.

$slope=\frac{rise}{run} =\frac{1}{3}$

This slope is the same for all of the sides.

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We will use the distance formula (which is basically just the Pythagorean Theorem) to calculate the length of each side. Let's go between F and G again, but this distance is the same for all the sides.

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+1)^2+(3-2)^2 } \\\\\sqrt{(3)^2+(1)^2 }\\\\\sqrt{9+1 }\\\\\sqrt{10}$

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The diagonals are the lines that connect the non-adjacent vertices.

Our two diagonals are FH and GE.

-----------------------------

FH

We go from x-value -1 to 1 from F to H, so our run is 2.

We go from y-value 2 to 0. so our rise is -2.

$slope=\frac{rise}{run} =-\frac{2}{2} =-1$

-----------------------------

GE

We go from x-value -2 to 2 from E to G, so our run is 4.

We go from y-value -1 to 3. so our rise is 4.

$slope=\frac{rise}{run} =\frac{4}{4} =1$

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Let's use the distance formula on each of our diagonals.

-----------------------------

FH

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(1,0)\\\\\\\sqrt{(1+1)^2+(0-2)^2 } \\\\\sqrt{(2)^2+(-2)^2 }\\\\\sqrt{4+4 }\\\\\sqrt{8}$

-----------------------------

GE

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-2,-1)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+2)^2+(3+1)^2 } \\\\\sqrt{(4)^2+(4)^2 }\\\\\sqrt{16+16 }\\\\\sqrt{36}\\\\6$

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They are congruent as they all have the same length (√10) and the opposite sides are parallel as they have the same slope (1/3)

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They are perpendicular diagonals as their slopes are negative reciprocals (1 and -1), and they are not congruent as they have different lengths (√8 and 6).

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Parallelogram- quadrilateral with opposite pairs of parallel sides.

Rhombus- a parallelogram with four equal sides

Square- a rhombus with four right angles

We can see that this is a parallelogram as we saw that the opposite sides are parallel due to having the same slope, and the perpendicular diagonals show that as well. This is also a rhombus because if we use that distance formula on all the sides, it will be the same. It is not a square though because it does not have four right angles, so this is a rhombus.

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Have a wonderful day and keep on learning!

8 0

3 years ago

Which set of coefficients of the terms in the expansion of the binomial (x+y)^3 is correct ?

BigorU [14]

We are technically FOILing this out... with a power of 3.

(x+y)(x+y)(x+y)

So we can first factor out the first two "x+y"s.

$( x^{2} +2xy + y^{2} )$ , multiplied by the last "x+y".

$x^{3} +3 x^{2} y +3x y^{2} + y^{3}$

Coefficients are the number that comes in front of a variable.

In this case, 1 comes in front of $x^{3}$ , 3 comes in front of $x^{2} y$ , 3 comes in front of $x y^{2}$ , and 1 comes in front of $y^{3}$ .

Thus: 1, 3, 3, 1.
Answer Choice A

4 0

3 years ago

Read 2 more answers

Let f(x) = 4x + 3

docker41 [41]

Answer: f(x) = 4x + 3

g(x) = -2x + 5

(f · g)(5) = (4(5) + 3)(-2(5) + 5)

(f · g)(5) = (20 + 3)(-10 + 5)

(f · g)(5) = (23)(-5)

(f · g)(5) = -115

7 0

3 years ago

Evaluate 2^2⋅4^3=Your answer​

Evaluate 2^2⋅4^3=Your answer