Directions for (1-5): Plot the following on a number line 0.75 1.5 -2 ¾ -3 ⅕ 6.8

Mathematics

1 answer:

lana [24]2 years ago

7 0

Answer:

|---|--------|---------|------|---------|-|

-2 ¾ -3 ⅕ 0.75 1.5 6.8

(This is a rough answer, it mainly just shows the order).

Step-by-step explanation:

1. -2 ¾

2. -3 ⅕

3. 0.75

4. 1.5

5. 6.8

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A. How long does the piece of wire need to be to make the shape? Explain.

Misha Larkins [42]

A. The wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered.

B. To determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

Step-by-step explanation:

Step 1:

The circumference of a circle is obtained by multiplying the radius with 2π.

The circumference of a circle $= 2 \pi r.$

Here the radius of the circle is 22 cm but already a quarter of the circumference has been covered with wire.

Step 2:

So to determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

So the circumference of the circle $= 2(3.1415)(22) = 138.226$ cm.

$\frac{3}{4} (138.226) = 103.6695$ cm and $\frac{1}{4}(138.226) = 34.5565$ cm.

So the wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered. An additional 103.6695 cm of wire is needed to cover the remaining circle.

7 0

3 years ago

What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10) ? Enter your answers in the box

RideAnS [48]

There are two ways to equate a straight line. We first have y=mx+b. Then, we have (y-y₁)=m(x-x₁). Both work fine and have similar variables, but the numbers are mixed around a bit. Your equation clearly shows the second form of equation. As our equation has x-x₁ on the right, we can notice that x+1 must mimic that, so x+1=(x-x₁). As x-(-1)=x+1, we can only assume that x is -1. Looking at the points given to us, y must be -2, so we have y-(-2)=y+2, so 2 fills in the leftmost open box. To find the slope, or m, we must take

$\frac{(y_{1} -y_{2})}{(x_{1} -x_{2})}$ from points (x₁, y₁) and (x₂, y₂). It doesn't matter which point is (x₁, y₁) , but it matters that the y₁ corresponds to the x₁. Thus, we have our slope as $\frac{-2-10}{-1-3} =\frac{-12}{-4} =3$