Answer:
Step-by-step explanation:
so you dont know what m is so lets leave that to the side.
first you see its -4 and six. so m = 4 and thats the naswer
Answer:
5
Step-by-step explanation:
take 0.5 divided by 5 and it gives you your next number on the chart:)
Answer:
stretched by a factor of 2, reflected over the y-axis, and translated 9 units left
Step-by-step explanation:
The given function is 
We can rewrite this function by factoring -4 in the radicand to get:
We further simplify the square root of 4 to get:
The parent function is 
When we compare to the parent function, there is a stretch by a factor of 2, reflection over the y-axis, and translation 9 units left
The last option is correct
For answering multiple choice, you can do the following:
Observe the diagram, noting that one curve has positive slope, and the other has negative slope.
Looking at the equations,
if x and y are on the same side of the equal sign, (which is the case here), then
- coefficients of x and y have equal signs (both+, or both -) then the equation has negative slope.
- coefficients of x and y have different signs (+-, or -+), then the equation has positive slope.
We see the second system has both equations with positive slope, and the third system has both equations with negative slopes. They're out!
Next, we check the y-intercept of the first equation (by setting x=0),
first system: 0+2y=-10 => y-intercept=-5, slope=-1/2 Good
fourth system: 0-2y=-10 => y-intercept=+5 No good.
Finally, check the x-intercept of the second equation of the first system (by setting y=0)
first system: 3x-0=12 => x-intercept = 12/3=+4, slope = +3 good
So we conclude the first system is the correct answer.
Answers:
The first blank is 180
The second blank is 60
======================================
The triangle sum theorem basically says that adding up all three angles of any triangle always leads to 180 degrees. So that's why
(angle1)+(angle2)+(angle3) = 180
x+x+x = 180
3x = 180
Divide both sides of that last equation by 3. This is to undo the multiplication of 3 done to x.
3x = 180
3x/3 = 180/3 ... divide both sides by 3
x = 60
Each angle of this equilateral triangle is 60 degrees. In an equilateral triangle, all three sides are the same length. Also in an equilateral triangle, all three angles are the same measure and always 60 degrees.
