Answer:
Step-by-step explanation:
4x+2=5x-6
4x-5x=-6-2
-x=-8
therefore, x=8
Answer:
Which of the following accurately depicts the transformation of y= x^2 to the function shown below? y=2(x-3)^2+5
A. Shift left 3 units, shrink vertically to 1/2 of the original height, then shift up 5 units.
B. Shift right 3 units, stretch vertically by a factor of 2, then shift up 5 units.
C. Shift up 3 units, stretch horizontally by a factor of 2, then shift left 5 units.
D. Shift 5 units right, stretch vertically by a factor of 3, then shift up 2 units.
Step-by-step explanation:
For f(x) = 4x+1 and g(x)= x^2-5, find (f/g) (x).
Answer:
17
Step-by-step explanation:
2y+2=36
Let's solve this equation for 2y first. This means get 2y by itself.
So to get 2y by itself I need to undo that addition of 2 next to it.
The inverse operation of addition is subtraction.
I'm going to subtract 2 on both sides:
2y =36-2
2y =34
Now we want to get y by itself so we divide both sides by 2 since division and multiplication are inverse operations:
y= 34/2
y= 17
Answer:
Step-by-step explanation:
8) (5x + 23) + (17x - 41) = 180
22x = 198
x = 9
arc JK 5(9) + 23 = 68°
arc MJ 17(9) - 41 = 112°
arc LMK 360 - 112 = 248
9) 8x + (21x - 12) + (10x + 9) + 90 = 360
39x = 273
x = 7
arc WX 21(7) - 12 = 135°
arc YW 90 + 8(7) = 146°
arc YX 10(7) + 9 = 79°
arc VXW 360 - 8(7) = 304°
Answer:
Area of circle R = 75π un² or ≈235.5 un²
Step-by-step explanation:
The problem says that m∠TRS = 120º. The total number of degrees in a circle is 360º. 120º is a third of 360º. Therefore, we can prove that the shaded sector is a third of the circle.
The problem then says that the area of the shaded sector is 25π and we have to calculate the area of the entire circle. Since we already know that the shaded sector is a third of the circle, we can simply multiply 25π by 3 in order to calculate the area of t he entire circle.
25π × 3 = 75π.
Area of circle R = 75π un² or ≈235.5 un²
