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2 years ago

Which of these is a point-slope equation of the line that is perpendicular to y-3=4(x-10) and passes through (-3,7)?

Mathematics

1 answer:

melomori [17]2 years ago

6 0

Answer:

Step-by-step explanation:

The point slope form of a line is $(y-y_1)=m(x-x_1)$ where $x_1=-3\\y_1=7$ . We can find the slope which is perpendicular to the slope of 4 in the equation y=4(x-10). Perpendicular slope is the negative reciprocal which is -1/4.

We write

$(y-7)=-\frac{1}{4}(x--3)\\(y-7)=-\frac{1}{4}(x+3)$

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a tree casts a shadow that is 20 ft long. the angle of elevation of the sun is 29°. how tall is the tree?

mars1129 [50]

You can use the trig ratios. Draw a diagram to see which one is appropriate.
Tan would be used.
Tan29=x/20
20Tan29=x
Put this into your calculator and see what you get

3 0

2 years ago

If the Zeros are 2 and 8 what's the axis of symmetry?

lions [1.4K]

Answer:

Step-by-step explanation:

x=2,x-2=0

x=8

x-8=0

y=(x-2)(x-8)=x²-2x-8x+16=x²-10x+16

=x²-10x+25-25+16

=x²-10x+25-9

y=(x-5)²+9

axis of symmetry is x-5=0 or x=5

8 0

2 years ago

Raymond has taken a position as the navigator on a speed boat racing team. The team entered a race that starts at Daytona Beach,

erik [133]

Using the rules of cosines, the <span>measure of the turn between the second and third legs of the race</span> is given by

$\cos^{-1}\left( \frac{180^2+160^2-140^2}{2\times180\times160} \right)=\cos^{-1}\left( \frac{32,400+26,600-19,600}{57,600} \right) \\ \\ =\cos^{-1}\left( \frac{39,400}{57,600} \right)=\cos^{-1}(0.6840)\approx47^o$

4 0

3 years ago

Read 2 more answers

1. Which of the following is an example of a system of equations?

Anni [7]

Answer: (1)

Step-by-step explanation:

A system of equations must have two equations. The first option is the only one that satisfies this.

7 0

1 year ago

The translation of ABCD to A'B'C'D'<br> is given by (×+[?].y-[ ]).

s2008m [1.1K]

Answer:

(x + 1 , y - 3)

Step-by-step explanation:

Compare x-coordinate of A(-6,1) and A'(-5,-2)

-6 + a = -5

a = -5 +6 = 1

x- coordinate of A' = x coordinate of A + 1

Compare y-coordinate of A(-6,1) and A'(-5,-2)

1 + a =-2

a = -2 - 1 = -3

y- coordinate of A' = y coordinate of A - 3

A(-6 , 1) = A'(-6+1 , 1-3) = A'(-5, -2)

D(( -1 , 1) = D'(-1+1, 1 - 3) = D'(0,-2)

C(-2,3) =C'(-2+1, 3-3) = C'(-1,0)

B(-4,3)= B'(-4+1 , 3-3) = B'(-3,0)

7 0

2 years ago