All categories

3 years ago

Which point(s) are on the graph of the following parametric equations?

1 answer:

5 0

x(t)=2t
y(t)=t^2
A) (-4,4),
x(t)=2t=-4, t=-2
y(-2)=(-2)²=4 , True

B) (-2,-4)
x(t)=2t=-2, t=-1
y(-1)=(-1)²=1 False. we have y=-4

C) (0,0)
x(t)=2t=0, t=0
y(0)=(0)²=0 True

D)(1,2)
x(t)=2t=1, t=1/2
y(1/2)=(1/2)²=1/4 False. we have y=2

E) (6,9)
(-2,-4)
x(t)=2t=6, t=3
y(3)=(3)²=9 True.

Correct answers is A, C, E.

You might be interested in

#16 and #19 only Please answer both as soon as possible.

Vlad1618 [11]

Answer:

1. it is not a direct variation because the value k is not kept throughout the ordered pairs

2. -a^5 - 2a³ + 2a², leading coefficient is -1

Step-by-step explanation:

1. to find the direct variation, we will use y/x = k with k representing our constant throughout the chart. if every value is equal to k, it is a direct variation

for this problem we will assume that the cup sizes are x and the cost is y

so the ordered pairs are (8, 0.90), (12, 1.35), (16, 1.80), and (24, 2.25)

.90/8 = 0.1125 <-- this is our k value for which every result has to be equal to

1.35/12 = 0.1125

1.80/12 = 0.1125

2.25/24 = 0.09375

since the value k was not kept throughout the ordered pairs, this is not a direct variation

2. the standard form of a polynomial is the exponents in descending order.

we have the following polynomial: 2a² - a^5 -2a³

to write it in standard form, we will go in descending order of the exponents. the largest exponent being first

-a^5 - 2a³ + 2a²

the leading coefficient of the polynomial is -1, as there is a negative sign in front of the newly formed polynomial

4 0

3 years ago

Can someone answer this for me im really bad at math 6x+17

Maslowich

Answer:

It cannot be answered if we don't figure out what x means. IF we knew what X is we can multiply 6 by x and then add 7.

an example would be if x was 3. we could figure out the answer by just doing (6*3)+7=25

7 0

2 years ago

The diagram shows a prism.

telo118 [61]

Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = $\frac{1}{2}(\text{Base})(\text{Height})$

Area of 2 similar sides = Base × Height

= 8 × 15

= 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

= 920 cm²

6 0

3 years ago

Find the slope of the line that contains the points (6, 8) and (2, 1).

yawa3891 [41]

Answer:

7/4 or 1.75

Step-by-step explanation:

Assuming this is a linear function, you can use the slope formula of change in y-values divided by change in x-values. Take your y-values (8 - 1), which is seven. Then take your x-values (6-2), which is equal to 4. Then your slope is just 7/4 or 1.75.

7 0

3 years ago

Read 2 more answers

The length of AC⎯⎯⎯⎯⎯ is 10 inches.

Maru [420]

Answer:

5 in

Step-by-step explanation:

AC = the diameter

FA = the radius

diameter=2*radius

10=2*FA

FA=10/2

FA=5 in

3 0

3 years ago

Read 2 more answers