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3 years ago

965000000000000 in scientific notation

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

5 0

9.65 * 10^12

Just take non-zero digits and multiply by 10^of how many zeros there are.

Basile [38]3 years ago

3 0

9.65 x 10^14. Just place the decimal point and count left and that is your exponent.

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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

Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Angle F is 87 degrees and angle G is 58 degrees. Triangl

daser333 [38]

Answer:

Similar triangles

Step-by-step explanation:

Refer to attached

<u>Given:</u>

EF =6 m, FG = 5m, EG = 7 m
∠F = 87°, ∠G= 58°, ∠E = 180° -(87°+58°) = 35°

KL= 28 m, LJ = 24 m, JK = 20 m
∠J = 87°, ∠K = 58°, ∠L = 35°

∠F≅∠J, ∠G ≅ ∠K, ∠E ≅ ∠L

and

KL/EG = LJ/EF = JK/FG = 28/7= 24/6= 20/5 = 4

So the corresponding angles are congruent and corresponding sides are similar

We can conclude that the triangles are similar

5 0

4 years ago

Gordon has paper strips that are all equal length. He lines them up end to end. When the line of paper strips is 3 feet long, Go

Evgesh-ka [11]

Answer:

1/4 feet

Step-by-step explanation:

since all the strips are 3 feet when they are 12 in number

thus one feet = 12/3= 4 strips

with this knowledge one strip would then be 1/4 feet

7 0

4 years ago

PLEASE HELP ME ASAP I'M HORRIBLE AT MATH

boyakko [2]

Answer:

Simple, 2.4

Step-by-step explanation:

anything with N or X on the side of a number means to multiply, and 2.4*15= 36, all you need to use is the opposite of it, aka, division. 15*__=36

If possible; brainliest?

7 0

3 years ago

Read 2 more answers

Evaluate the expression for the given value of the variable(s).<br><br> -x2 - 4x; x = –3

yaroslaw [1]

Answer:

Step-by-step explanation:

Subbing -3 for x in -x^2 - 4x, we get -(-3)^2 - 4(-3)

OR -9 +12

Final result: 3

7 0

3 years ago