3. Who set up their equation correctly for the following question?

the ratios of the sides of a triangle are 3:2:4. if the shortest side is 26cm, what is the length of the longest side?

zalisa [80]

Answer: 52

Divide 26/2 and you get 13, and then multiply 13 by 4. Think of it as a proportion.

4 0

3 years ago

(PLEASE HELP AS SOON AS POSSIBLE)

Mkey [24]

Answer:

G

Step-by-step explanation:

The origin in a graph is the point (0, 0) where x and y are both 0. If you move 4 units left, x is -4. And if you go down 2 units, y is -2. So the ordered pair would be (-4, -2)

3 0

3 years ago

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What is the graph of the linear inequality y≤−3x+4?

tatiyna

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than or equal to the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

5 0

3 years ago

[25 POINTS] The approximate change in the value of f(x) = sqrt(2(x-1)) at x = 3 using differentials with dx = 0.01 is

otez555 [7]

Answer:

$\frac{1}{200}$

Step-by-step explanation:

Find the derivative of the function when x=3

$y=\sqrt{2(x-1)}$

$\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}$

$\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}$

$\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}$

$\frac{dy}{dx}=\frac{1}{\sqrt{4}}$

$\frac{dy}{dx}=\frac{1}{2}$

Since the change in the value of the function is $dy$ and we know that the change in x is $dx=0.01$ , then we have:

$\frac{dy}{dx}=\frac{1}{2}$

$dy=\frac{1}{2}dx$

$dy=\frac{1}{2}(0.01)$

$dy=\frac{1}{200}$

Therefore, the 2nd option is correct

8 0

2 years ago

the perimeter of the rectangle below is 98 units. Find the length of CD. Write your answer without variables. cd=4x+3 cb=5x+1

zimovet [89]

$2(4x + 3) + 2(5x + 1) = 98 \\ 8x + 6 + 10x + 2 = 98 \\ 18x + 8 = 98 \\ 18x = 90 \\ x = 5$
Substitute x with 5,

CD =
$4x + 3 \\ = 4(5) + 3 \\ = 20 + 3 \\ = 23$
CD = 23 units

Hope this helps.

7 0

3 years ago

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