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3 years ago

Thinking the perimeter of the rectangle is 3x + 2 + x + 3x + 2 + X.

1 answer:

7 0

They are both right because the first expression is the perimeter but expanded in terms of length.The second expression is shortened to be a factor expression but they both represent the length.
The benefit of the first one is you can see how it’s expanded and plug the numbers in and the second one is more easy to plug in the numbers with ease.

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What's the area of these two shapes please explain!

Sophie [7]

Answer:

Figure 1 is 50 cm. Figure 2 is 225 mm.

Step-by-step explanation:

5 0

3 years ago

Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he

Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, $time=\frac{distance}{speed}$

So, time for running= $\frac{8}{x}$

And time for riding= $\frac{11}{x+9}$

Equation becomes:

$\frac{8}{x}+\frac{11}{x+9}=1.5$

Now, multiply every term by 2x(x+9) to clear denominators:

$16(x+9)+22x=3x(x+9)$

Simplifying it we get

$3x^{2}-11x-144=0$

Solve the quadratic equation using formula

$x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}$

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x= $\frac{-16}{3}$

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0

3 years ago

Two quadratic functions are shown.

slava [35]

Answer:

Option (1) is the correct option.

Step-by-step explanation:

Function 1,

f(x) = 4x² + 8x + 1

= 4(x² + 2x) + 1

= 4(x² + 2x + 1 - 1) + 1

= 4(x² + 2x + 1) - 4 + 1

f(x) = 4(x + 1)² - 3

This graph opens up with the vertex or minimum point at (-1, -3)

So, the minimum value of the function is (-3) at x = -1.

Function (2)

From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)

Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)

Option (1) is the correct option.

7 0

3 years ago

In January, Angelina made one deposit of $90 to her savings account and made 3 withdrawals of $40 each. What was the total chang

Anna71 [15]

So 90 - (40*3) right ?

5 0

3 years ago

Read 2 more answers

how many cubic blocks of side length 1/6 inch would take to fill a rectangular prism with a length, width, and height of 1/3 inc

borishaifa [10]

Volume of one cubic block = (1/6)^3 = 1/216 cu ins

Volume of the prism = 1/3 * 2/3 * 2/3 = 4/27 cu ins

Number of blocks to fill prism = 4/27 / 1/216 = (216*4) / 27 = 32

3 0

3 years ago

Read 2 more answers