Answer:
Distance = 10.77 to nearest hundredth
Step-by-step explanation:
Using
d = √ (x_2 - x_1)^2 + (y_2 - y_1)^2
With the two points given
( -6,-1)(4,3)
x_1 = -6
y_1 = -1
x_2 = 4
y_2 = 3
Insert the values
=√(4 -(-6)^2 + (3 - (-1)^2
=√(4 + 6)^2 + (3 +1)^2
=√ 10^2 + 4^2
=√100 + 16
=√ 116
= 10.77033
= 10.77 to nearest hundredth
The slope of the given line is 5/4. The slope of a line perpendicular to the given line is the negative reciprocal of 5/4, or -4/5.
Using the point-slope form,
y - 5 = (-4/5)(x - 10).
This is the desired new line.
Note that mult. both sides by 5 removes the fractions:
5y - 25 = -4(x - 10), or 5y - 25 = -4x + 40.
Solving this for y: 5y = 25 - 4x + 40, or 5y = -4x + 65
Then y = (-4/5)x + 13 (answer)
Integers are like -4,-3,-2,-1,0,1,2,3,4 etc
√49=7, integer
-3⁰=-(3⁰)=-(1)=-1, integer
1.2 times 10⁻²=1.2/100=0.012, not an integer
18/3=6, integer
answer is 3rd one
Answer:
∠ A ≈ 53°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = = = , then
∠ A = ( ) ≈ 53° ( to the nearest whole number )