ZC and ZD are vertical angles with mZC = -3x+58 and mZD= x

Hey can you please help me

anygoal [31]

Answer:

C

Step-by-step explanation:

General Form of an equation of a line is given by: $y=mx+b$

Where,

m is the slope, and

b is the y-intercept (point where line cuts the y-axis)

Also, parallel lines have equal slopes.

Equation of first plane is given as $d=3.67t+4.81$

Comparing this with general form of a line, we see that 3.67 is the slope and 4.81 is the y-intercept.

The second plane is going parallel to this. So slope should be same. Hence second plane has slope of 3.67. We can write:

$d=3.67t+c$

To find the equation of second plane, we need to solve for c. Also, a point given for second plane is $(t=0, d=2.14)$ , substituting these values into the equation we got, we get the value of c:

$2.14=3.67(0)+c\\2.14=0+c\\c=2.14$

We already know m and now we know c, so we can write final equation as:

$d=3.67t+2.14$

Answer choice C is right.

8 0

2 years ago

What is a reasonable distance between two cities?

deff fn [24]

I don't know the exact calculation but...maybe about 56,789 miles? based on that between Syracuse to California is 9,345 miles but...it depends on witch two cites you're talking about

8 0

3 years ago

F(x)=-1/2(x-2)^2-4 Graph the function

telo118 [61]

Answer:

see below

Step-by-step explanation:

The function is written in vertex form. It has a negative vertical scale factor, so you know ...

the vertex is (2, -4)
the vertical scale factor is 1/2
the parabola opens downward

Vertex form is ...

f(x) = a(x -h)^2 +k . . . . . . . . . . vertical scale factor "a", vertex (h, k)

__

Since you know the vertex and scale factor, you can plot some points on the graph. I find it convenient to think in terms of units either side of the vertex. These are values of x that would make (x-2)^2 be 1^2, 2^2, 3^2, 4^2 and so on. The vertical scale factor of -1/2 tells you that the y-differences for these points will be -1/2, -4/2, -9/2, -16/2 from the vertex. Then we have ...

vertex: (2, -4)

1 unit either side of the vertex: (1, -4.5), (3, -4.5)

2 units either side of the vertex: (0, -6), (4, -6)

3 units either side of the vertex: (-1, -8.5), (5, -8.5)

4 units either side of the vertex: (-2, -12), (6, -12)

You can plot these points and draw a smooth curve through them. Or, you can let a graphing calculator do it. The result will be similar to that shown below.

6 0

3 years ago

13. Tom has $14 more than you do.

puteri [66]

Answer:

46

Step-by-step explanation:

14-60 equals 46 and just go to your answer and put that in and there u go buddy

8 0

3 years ago

Plzzzzz help I need

Lera25 [3.4K]

Answer:

i dont know tbh

Step-by-step explanation:

good luck

8 0

2 years ago

ZC and ZD are vertical angles with mZC = -3x+58 and mZD= x - 2.