Can I add a photo here because I don't know how to ask a question in math
2 answers:
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Answer:
y = - x - 3
Step-by-step explanation:
The equation of a line in slope- intercept fprm is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 7 is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (3, - 4) into the partial equation
- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3
y = - x - 3 ← equation of perpendicular line
The segment was only rotated, not changed. It would be the same length as the original.
To find the length, use the distance formula.
(5, 8) would be point 1.
(-6,8) would be point 2.
Plug them into the formula.
Simplify.
Square root this answer.
Negative distances aren't possible, so your answer is 11.
Hope this helped!
:)
To find the length, use the distance formula.
(5, 8) would be point 1.
(-6,8) would be point 2.
Plug them into the formula.
Simplify.
Square root this answer.
Negative distances aren't possible, so your answer is 11.
Hope this helped!
:)
Answer:
∠ C = 118°
Step-by-step explanation:
DE = DF , then Δ DEF is isosceles with base angles congruent , then
∠ DEF = ∠ DFE = =
= 62°
∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so
∠ DFB = 180° - 62° = 118°
BCDF is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ C = ∠ DFB = 118°