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3 years ago

ILL MARK U BRAINLIEST!!!!

Mathematics

2 answers:

Helen [10]3 years ago

4 0

Answer:

Step-by-step explanation:

(40,5) and (0,0) are points on the line.

Slope of line = (40 miles)/(5 minutes) = 8 Mikes per minute

Reil [10]3 years ago

4 0

Answer:

I believe the answer is C

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Find the vertex, focus, directrix, and focal width of the parabola.

ANEK [815]

Answer:

Vertex: (0, 0); Focus: (0, -4); Directrix: y = 4; Focal width: 16 ⇒ answer (a)

Step-by-step explanation:

* Lets revise some facts about the parabola

- Standard form equation for a parabola of vertex at (0 , 0)

- If the equation is in the form x² = 4py, then

- The axis of symmetry is the y-axis, x = 0

- 4p equal to the coefficient of y in the given equation to

solve for p

- If p > 0, the parabola opens up.

- If p < 0, the parabola opens down.

- Use p to find the coordinates of the focus, (0 , p)

- Use p to find equation of the directri , y= − p

- Use p to find the endpoints of the focal diameter, (±2p , p)

* Now lets solve the problem

- The vertex of the parabola is (0 , 0)

∵ -1/16x² = y ⇒ multiply each side by -16

∴ x² = -16y

∴ 4p = -16 ⇒ ÷ 4 tbe both sides

∴ p = -4

∵ The focus is (0 , p)

∴ The focus is (0 , -4)

∵ The directrix is y = -p

∴ The directrix is y = -(-4) = 4 ⇒ y = 4

∵ The endpoints of the focal diameter, (±2p , p)

∴ The focal width = 2p - (-2p) = 4p

∴ The focal width = 4 × I-4I = 16

* Vertex: (0, 0); Focus: (0, -4); Directrix: y = 4; Focal width: 16

6 0

3 years ago

Read 2 more answers

Helpppppp please!!!!!! 35 points!!!!!!!

vivado [14]

14. (y+x=-2)3
2x-3y=31

3y+3x=-6
2x-3y=31
the y variables cancel out
5x=25
5x÷5=25÷5
x=5

y+5=-2
-5. -5
y=-7

6 0

3 years ago

Read 2 more answers

Find the sum of the series given in sigma notation.

Kryger [21]

Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

3k -2 ------1

put k = 6 in above eq. for finding first term

a1 = 3(6) - 2 = 18 - 2 = 16

put k = 7 in above eq. for finding first term

a2 = 3(7) - 2 = 21 - 2 = 19

a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ... //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = $\frac{n}{2}(2a1 + (n-1)d)$

= $\frac{7}{2}(2a1 + (7-1)d)$

= $\frac{7}{2}(2(16) + (6)3)$

= $\frac{7}{2}(32 + 18)$

= $\frac{7}{2}(50)$

= 7 * 25

= 175

4 0

3 years ago

What is the probability of getting an even number on the spinner? A. 5/6 B. 4/6 C. 3/6 D. 1/3

prisoha [69]

If the spinner has 6 spots then it’s 3 even and 3 odd therefore it’s C

6 0

2 years ago

Read 2 more answers

The table shows the relationship between of calories Jacob burns while filler scaring and the number of minutes he roller skates

goldenfox [79]

Answer:

Could you try to re-post the question with a picture of the table?

5 0

3 years ago