The equation of a line can be expressed in slope intercept form as y = mx + b where m is the slope and b is the y-intercept. Horizontal lines have a slope of 0, so the equation is simply y=b.
The y value of the point given is -5, so the answer is y = -5.
Answer:
A. g=11
Step-by-step explanation:
We want to find which choice makes the equation true. Let's plug in each answer choice.
A. g=11
26=7(11-9)+12
26= 7(2)+12 Solve inside the parentheses.
26= 14+12 Multiply 7 and 2.
26= 26 Add 14 and 12.
This answer must be correct, but let's check the other choices .
B. g=12
26=7(12-9)+12
26= 7(3)+12 Solve inside the parentheses.
26= 21+12 Multiply 7 and 3.
26≠33 Add 14 and 12.
This choice is not correct.
C. g= 13
26=7(13-9)+12
26= 7(4)+12 Solve inside the parentheses.
26= 28+12 Multiply 7 and 4.
26≠40 Add 28 and 12.
This is also not correct.
D. g= 14
26=7(14-9)+12
26= 7(5)+12 Solve inside the parentheses.
26= 35+12 Multiply 7 and 5.
26≠47 Add 35 and 12.
This choice is not correct either.
The value of g that make the expression 26=7(g-9)+12 a true statement is A. g=11.
4, 8, 10, 7, 3, 4... Those r in order from top to bottom! it's all about the simplification!
The correct answer is B. Reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin.
Answer: AE = 120.83 m DE= 148.66 m
The perimeter of the pentagon is 699.49
Sketch attached.
Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," <em><u>this must be a concave pentagon. </u></em>
To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.
AE: 
DE: 
Add those lengths and the remaining sides of the "rectangle shown below" to calculate the perimeter.
280+150+120.83+148.66= 699.49
