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stiv31 [10]
3 years ago
6

Identify an equation in point-form for the line perpendicular to y=-1/3x-6 that pass through -1,5

Mathematics
2 answers:
MissTica3 years ago
7 0

Answer:

y=3x+8

Step-by-step explanation:

Perpendicular to -1/3, is 3.

y-5=3(x+1)

y-5=3x+3

y=3x+8

77julia77 [94]3 years ago
5 0

Answer:

y - 5 = 3(x + 1).

Step-by-step explanation:

y = -1/3x - 6

The slope of this line is -1/3 so the slope of the perpendicular line to it is -1/-1/3

= 3.

Using the point-slope form of a straight line:

y - y1 = m(x - x1)  where m = the slope and (x1, y1) is a point on the line:

Here m = 3 and (x1, y1) is (-1, 5) so we have:

y - 5 = 3(x - (-1))

y - 5 = 3(x + 1).

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one orange and one apple cost 1.05, two oranges and three apples cost $2.75, how much do two apples cost?
Nimfa-mama [501]
If you would like to know how much do two apples cost, you can calculate this using the following steps:

o ... the cost of one orange
a ... the cost of one apple

1 * o + 1 * a = $1.05
2 * o + 3 * a = $2.75
_______________
o + a = 1.05 ... o = 1.05 - a
2 * o + 3 * a = 2.75
2 * (1.05 - a) + 3 * a = 2.75
2.1 - 2 * a + 3 * a = 2.75
a = 2.75 - 2.1
a = $0.65

o = 1.05 - a = 1.05 - 0.65 = $0.4

2 * a = 2 * 0.65 = $1.3

The correct result would be: Two apples cost $1.3.
5 0
3 years ago
A circle is drawn within a square as shown.
alukav5142 [94]

Answer:

168.56 in²

Step-by-step explanation:

The area will be found by subtracting the area of the circle from the area of the square.

The area of the square will be given by A = 28(28) = 784 in².

The area of the circle will be given by A = 3.14(14²) = 3.14(196) = 615.44 in².

The area of the shaded portion is given by

784-615.44 = 168.56 in²

4 0
3 years ago
Read 2 more answers
What is the measure of the angle
lutik1710 [3]
The angle would be 70 degrees because 180-110=70
6 0
3 years ago
Read 2 more answers
Which numbers are correctly in scientific notation
Genrish500 [490]

Answer:

All except the second, third, fourth and seventh option.

Step-by-step explanation:

Scientific notation is always a number more than or equal to 1, less than 10 multiplied by 10 to a power. Anything else is considered wrong.

x•10^n while 1<=x<10

7 0
3 years ago
Write the given expression as the cosine of an angle: cos60cos105 - sin60sin105?
Ahat [919]
We know that

<span>The cosine of the sum of two angles </span><span>is defined by the following trigonometric identity

</span>cos(A + B) = cos A cos B − sin A sin <span>B
A=60</span>°
B=105°
cos A=cos 60
cos B=cos 105
sin A=sin 60
sin B=sin 105

then
cos(60 + 105) = cos 60 cos 105 − sin 60 sin 105
cos(165) = cos 60 cos 105 − sin 60 sin 105

the answer is
cos (105°)


6 0
3 years ago
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