Answer:
Its the last one: a translation 2 units right and 4 units down.
Step-by-step explanation:
To get from point E (1,3) to E' (3-1) you add 2 units to the x coordinate since the x-axis goes from left to right and moving to the right means its positive and then you subtract 4 from the y coordinate since the y axis is going up and down and when you move -4 points you move down 4 points. You do this to every other point get the new figure.
The best way to solve these types of equations is to plug the solution in and see if it checks out.
1/2x+8=10
1/2*-3+8=10
-1.5+8=10
6.5 is not equal to 10
1/2(2*-3-6)=-6
1/2(-6-6)=-6
1/2*(-12)=-6
-6=-6
so d checks out
Answer:
Y = -4.5x
Step-by-step explanation:
First evaluate: -16x to the second power = -256x
Then add like terms: -256x + 238x = -18x
Then divide both sides by -18: -18x divided by -18/ 81 divided by -18
Which leaves you with y = -4.5x
ANSWER: y= 3x - 6
STEP-BY-STEP EXPLANATION:
(1,-3) and (3,3)
X1=1 X2=3
Y1= - 3 Y2=3
1) Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope formula:
m =
m= m= = 3
2)Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and we get:
y= 3x+b
Next choose one of the two point to plug in for the values of x and y. It does not matter which one of the two points you choose because you should get the same answer in either case. I generally just choose the first point listed so I don’t have to worry about which one I should choose.
y= 3x+b point (1,-3)
-3= 3(1) + b
-3-3=b
-6=b
3)Write the answer.
Using the slope of 3 and the y-intercept of -6 the answer is:
y = 3x - 6
Answer:
∠CAD = 44⁰
∠ACD = 44⁰
∠ACB = 136⁰
∠ABC = 22⁰
Step-by-step explanation:
To calculate m∠CAD;
Line AD = Line DC,
thus ∠CAD = ∠ACD = ¹/₂(180 - 92°) [sum of angles in a triangle.]
∠CAD = ¹/₂ x 88 = 44⁰
Also, ∠ACD = 44⁰
To calculate m∠ACB;
∠ACB = 180 - ∠ACD [Sum of angles on a straight line]
∠ACB = 180 - 44
∠ACB = 136⁰
To calculate m∠ABC;
Line CB = Line CA
Thus, ∠ABC = ∠CAB = ¹/₂(180 - ∠ACB) [sum of angles in a triangle.]
∠ABC = ¹/₂(180 - 136)
∠ABC = ¹/₂ x 44
∠ABC = 22⁰