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2 years ago

A rectangle has a length of 2x+7 and a width of 3x+8.

Mathematics

1 answer:

Phantasy [73]2 years ago

3 0

Answer:

Below.

Step-by-step explanation:

Perimeter = 2(2x + 7 + 3x + 8)

= 2(5x + 15)

= 10x + 30.

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Find Y. Round to the nearest tenth.

Andreas93 [3]

Answer:

y=27.8

Step-by-step explanation:

8^2=17^2+16^2-2(16)(17)cosY
8^2-17^2-16^2/-2(17)(16)=cosY
-481/-544=cosY
0.8842=cosY
Y is about 27.8

6 0

3 years ago

The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the f

OLEGan [10]

Answer: First option

Step-by-step explanation:

By definition, the horizontal shift depends on the value of h and the vertical shift depends on the value of k.

$f(x)=(x-h)^3$ indicates that the function if shifted to the right h units.

$f(x)=(x+h)^3$ indicates that the function if shifted to the left h units.

$f(x)=f(x)-k$ indicates that the function if shifted down k units.

$f(x)=f(x)+k$ indicates that the function if shifted up k units.

Then:

If h is positive, the graph will shift to the right.

If k is negative, the graph will shift down.

As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:

$g(x)=(x-4)^3-2$

Where:

$h=4\\k=-2$

7 0

3 years ago

The base of a triangle exceeds the height by 3 cm if the area is 170 cm² what is the length of the base and the height of the tr

Strike441 [17]

Hey there!!

How do we find the area of a triangle?

Ans - Formula = ( 1 / 2 ) ( base ) ( height )

In the question, it states the base exceeds the height by 3 cm

Let's take the height as ' x '

The, the base of the triangle would be ' x + 3 '

It's area = 170 cm²

Let' get this into an equation :

( 1/2 ) ( x ) ( x + 3 ) = 170

... ( x / 2 ) ( x + 3 ) = 170

... ( x² + 3x / 2 ) = 170

Multiplying by 2 on both sides

... x² + 3x = 340

Subtract 340 on both sides

... x² + 3x - 340 = 0

We can write this as

... x² - 17x + 20x - 340 = 0

... x ( x - 17 ) + 20 ( x - 17 ) = 0

... ( x + 20 ) = 0

... ( x - 17 ) = 0

... x = -20

... x = 17

As the value can not be in negatives, we take x as 17

The value of height = 17 cm

The value of the base = 20 cm

Hope my answer helps!!

6 0

3 years ago

Read 2 more answers

What do you call a characteristic of a living thing that helps it survive?

WINSTONCH [101]

Answer:

An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing

6 0

2 years ago

A rectangular pool is twice as

dedylja [7]

Step-by-step explanation:

L=2B

P=2(L+B)

48=2(2B+B)

48=2(3B)

48=6B

B=8yd

L=2*8

=16yd

8 0

3 years ago

Read 2 more answers