Answer:
Answer:
Option C.
Step-by-step explanation:
The vertex form of a parabola is
where, a is constant, (h,k) is vertex.
If a<0, then it is a downward parabola and if a>0, then it is an upward parabola.
A downward parabola never lies entirely above the x-axis.
First equation is
It is a downward parabola and vertex is (-7,7).
Second equation is
It is an upward parabola and vertex is (7,-7).
Third equation is
It is an upward parabola and vertex is (7,7).
Fourth equation is
It is a linear equation with y-intercept -7.
Only equation 3 is an upward parabola whose vertex lies above the x-axis.
Square and Rhombus are the following quadrilaterals have diagonals that are always perpendicular to each other.
C. Square
D. Rhombus
<u>Step-by-step explanation:</u>
This implies the diagonals of a square and rhombus are perpendicular. The diagonals of a square and rhombus are a similar length. In elementary geometry, the property of being opposite is the connection between two lines which meet at a right angle. The property stretches out to other related geometric items.
Principally Perpendicular lines will be lines that cross at a right (90 degrees) edge. so when it goes under shape rhombus and square have the equivalent of a considerable number of sides parallelly.
Answer:
1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.
b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.
c. Answer is 2 + 1/2 * 3 = 3.5 characters/second/.
2. The answer is s = 1/2m + 2
3. To solve for m we write 8 = 1/2m + 2 → 6 = 1/2m → m = 12 months.
4. 10r + 4 = 8 → 10r = 4 → r = 0.4
5. The variable r represents the rate she must increase her texting speed by per month.
6. A scenario could be "Allison has 37 marbles in a jar. She took out 5 from the jar and wants to divide the remaining amount equally among her 8 friends. How many marbles does each friend get?".
Vertex form is basically commplete the square
y=a(x-h)^2+k
y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45
answer is A
Sin C= 3/5
Your answer would be A