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3 years ago

What is the solution to 2(6+4)?

Mathematics

2 answers:

erica [24]3 years ago

6 0

Answer:

Step-by-step explanation:

2(6+4)=

2*10=

dusya [7]3 years ago

6 0

Answer:

Step-by-step explanation:

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Find the equivalent expression 9 ( 2a + 1

aivan3 [116]

Answer:

Equivalent expression of $9(2a+1)$ is, $18a+9$

Step-by-step explanation:

The distributive property says that:

$a \cdot (b+c) = a\cdot b + a\cdot c$

Given the expression: $9(2a+1)$

Apply the distributive property:

$9 \cdot (2a) +9 \cdot 1$

Simplify:

$18a+9$

Therefore, the equivalent expression of $9(2a+1)$ is, $18a+9$

8 0

4 years ago

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Instructions:Select the correct answer. Dexter's dad runs a toy store. His current yearly sales report shows that he sold 4,694

grigory [225]

The store made 13,847.30 dollars

7 0

3 years ago

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The plate is rotated 90° about the origin in the counterclockwise direction. In the rotated trapezoid, what are the coordinates

Crazy boy [7]

You haven't provided the coordinates of the original trapezium, therefore, I can only help with the concept.

From the givens, we can know that the rotation was 90° counter-clockwise about the origin.

<u>The rule for this rotation is:</u>

(x , y) ..............> (-y , x)

This means that to get the points of the rotated image, negate the y-value then exchange it with the x-value

<u>Examples:</u>

(1 , 3) rotated 90° counter-clockwise about the origin will give (-3 , 1)

(-2 , 4) rotated 90° counter-clockwise about the origin will give (-4 , -2)

(1 , -2) rotated 90° counter-clockwise about the origin will give (2 , 1)

(-3 , -5) rotated 90° counter-clockwise about the origin will give (5 , -3)

Hope this helps :)

4 0

3 years ago

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50 POINTSSSS! Use trigonometric identities to verify that this expression is equal.

Llana [10]

Answer:

= cos

Step-by-step explanation:

4 0

3 years ago

Dana has 800 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed are

grin007 [14]

Answer:

Perimeter of rectangle states that total distance around the outside, which can be found by adding together the length of each side.

As per the given statement, Dana has 800 yards of fencing to enclose a rectangular area.

Therefore, perimeter of rectangle = 800 yards.

Perimeter(P) of rectangle is given by :

P = 2(x+y) where x is the length and y is the width of the rectangles respectively.

Then,

2(x+y) = 800

Divide both sides by 2 we get;

x+y =400

y = 400 -x .....[1]

We know, the area(A) of rectangle is given by

A = xy .....[2]

Substitute equation [1] into [2] we get;l

A = x(400-x)

using distributive property $a\cdot (b+c) = a\cdot b+ a\cdot c$

$A = 400x -x^2$

$A =-x^2+400x$ ......[3]

To maximize the enclosed area.

For a quadratic function in standard form $y =ax^2+bx+c$ , the axis of symmetry is a vertical line given by;

$x = -\frac{b}{2a}$

Then; we have from equation [3]

a = -1 and b = 400

By axis of symmetry;

$x = -\frac{b}{2a}$ = $-\frac{400}{2 \cdot -1} =\frac{400}{2} = 200$

Substitute in equation [1] to solve for y:

y = 400 - 200 = 200

The dimensions of the rectangle that maximize enclosed area are:

x = 200 units and y = 200 units.

Maximum area = $200 \times 200 = 40,000$ square units.

We can say that maximum area of rectangle will always be a square

4 0

3 years ago