Answer:
168
Step-by-step explanation:
radius=diameter÷2
diameter=radius×2
circumference=diameter×3.14(pi)
to turn the radius into the diameter, we need to multiply 26.82 by 2 then by 3.14.
26.82×2=53.64
53.64×3.14=168.4396
Answer:
The answer is 20p – 10 or 10(2p – 1)
Step-by-step explanation:
4(2p + 2) + 6(2p − 3)
8p + 8 + 12p – 18
20p – 10 or 10(2p – 1)
<h2>
Answer:</h2>
![y=-3\left(x+6\right)](https://tex.z-dn.net/?f=y%3D-3%5Cleft%28x%2B6%5Cright%29)
<h2>
Step-by-step explanation:</h2>
From the given graph, we can know two points:
![P_{1}(x_{1},y_{1})=(2,0) \ and \ P_{2}(x_{2},y_{2})=(1,3)](https://tex.z-dn.net/?f=P_%7B1%7D%28x_%7B1%7D%2Cy_%7B1%7D%29%3D%282%2C0%29%20%5C%20and%20%5C%20P_%7B2%7D%28x_%7B2%7D%2Cy_%7B2%7D%29%3D%281%2C3%29)
Using the slope intercept form of the equation of a line, we get:
![y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1}) \\ \\ y-0=\frac{3-0}{1-2}(x-2) \\ \\ y=-3(x-2) \\ \\ y=-3x+6](https://tex.z-dn.net/?f=y-y_%7B1%7D%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%28x-x_%7B1%7D%29%20%5C%5C%20%5C%5C%20y-0%3D%5Cfrac%7B3-0%7D%7B1-2%7D%28x-2%29%20%5C%5C%20%5C%5C%20y%3D-3%28x-2%29%20%5C%5C%20%5C%5C%20y%3D-3x%2B6)
Where the slope is
and the y-intercept is ![b=6](https://tex.z-dn.net/?f=b%3D6)
From mathematics, we know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept. So, from the options, the second equation is:
![y=-3(x+6)](https://tex.z-dn.net/?f=y%3D-3%28x%2B6%29)
And the slope intercept form of this equation is:
![y=-3x-18](https://tex.z-dn.net/?f=y%3D-3x-18)
So the slope is
and the y-intercept is
, the systems formed by these two equations has no solution.
Answer:
C
Step-by-step explanation:
The transitive property states that a line is congruent to itself.
Answer:
Solution given:
Volume of cuboid=975cm³
length[l]=15cm
width[w]=130mm=13cm
height [h]=?
we have:
Volume of cuboid=l*w*h
975=15*13*h
h=![\frac{975}{195}=5cm](https://tex.z-dn.net/?f=%5Cfrac%7B975%7D%7B195%7D%3D5cm)
<u>T</u><u>h</u><u>e</u><u> </u><u>h</u><u>e</u><u>i</u><u>g</u><u>h</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>c</u><u>u</u><u>b</u><u>o</u><u>i</u><u>d</u><u> </u><u>i</u><u>s</u><u> </u><u>5</u><u>c</u><u>m</u><u>.</u>