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OleMash [197]
3 years ago
12

The equation of line q is y = –4 x + 57. Perpendicular to line q is liner , which passes through the point(–10, –7) .What is the

equation of line r ?
Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

Step-by-step explanation:

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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
Please help me ASAP, I NEED UR HELP?​
torisob [31]

Answer:

3) yes, it is in the shaded region

4) no, it lies on a less-than line

5) yes, it lies on a greater-than-or-equal-to line

6) no, it isnt in the shaded region

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
If m(x) =x+5/x-1 and n(x) =x-3 which function has the same domain as (m.n)(x)
Travka [436]

Answer:

Step-by-step explanation:

m (x) = (x+ 5) / (x -1)        and     n(x) = x - 3.

m(x) = \dfrac{x+5}{x-1}

Hence

m(n) = \dfrac{n+5}{n-1}

but n is a function and n = x-3. Now, replace value of n on m (n)

(m(n))= \dfrac{(x-3)+5}{(x-3)-1}

simplify it

(m\bullet n)(x) =\dfrac{x+2}{x-4}\\

since (m . n) (x)  is a fraction function, its domain will be all x such that the denominator is NOT 0. That is

x-4\ne 0\rightarrow x\ne 4

among options, only C has the same denominator with (m\bullet n)(x)

Hence their domains are the same.

4 0
3 years ago
Help solving for ask
frosja888 [35]
I did the math and what i got was x=116
4 0
3 years ago
Read 2 more answers
Given triangle ABC with m M
sammy [17]

9514 1404 393

Answer:

  49°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  ∠A +∠B +∠C = 180

  (x +32) +(x +41) +(3x +22) = 180 . . . . angles assumed to be in degrees

  5x +95 = 180

  5x = 85

  x = 17

  x +32 = 49 . . . . measure of ∠A

6 0
2 years ago
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