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PolarNik [594]
3 years ago
6

What times to 18 but adds to 19

Mathematics
1 answer:
Bingel [31]3 years ago
8 0
1 and 18 1 × 18 = 8 1+ 18 = 19
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The Campers in cabin D walked 1/6 of the way to Mammoth Mountain. how many miles did the walk ?
svet-max [94.6K]
What is the question ?
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3 years ago
F(x)=7x^1/2, find f(x)
FrozenT [24]

Answer:

x=2y/7

Step-by-step explanation:

y=7x^1/2

7/2x=y

7/2x/7/2=y/7/2

4 0
3 years ago
The Point-Slope Equation: Pt 2
denis-greek [22]

Answer:

y = -1/3x - 5/3

Step-by-step explanation:

The slope of a line is the ratio of vertical distance to horizontal distance between the points. Since the line has to cross through the point (-5,0), count out the slope -1/3 by moving down 1 unit and to the right 3 units. This places the line between -1 and -2 on the y-axis. Looking at the options listed for b in y = mx + b. b = -5/3 is the best option and is between -1 and -2.

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3 years ago
A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set
lara [203]

A circle with center (3,0) and radius 5 has equation

(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x  = 16

If we substitute y=2x+k in this equation, we have

x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0

The expression simplifies to

-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89

The solutions to the associated equation are

k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}

So, the parabola is negative between the two solutions:

-6-5\sqrt{5}

8 0
3 years ago
The expression sin 50 cos 40 + cos 50 sin 40 is equivalent to
enyata [817]
Sin (a+b) = sin a. cos b + cos a. sin b

a= 50° and b=40°, then

sin(50+40) = sin 50° . cos 40° + cos 50° . sin 40°

sin(50+40) = sin 90° = 1 and

sin 50° . cos 40° + cos 50° . sin 40° = 1
8 0
3 years ago
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