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Savatey [412]
3 years ago
7

WILL MARK BRAINLIEST

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:

the answer is D

Step-by-step explanation:

because it's D

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What is the equation, in point-slope form, for a line that goes through ​ (2, −6)(2, −6) ​ and has a slope of ​ −34−34 ​ ?
Keith_Richards [23]
The answer is the last one option: y+6=-34(x+2). I told you the reason in the other similar question.
8 0
3 years ago
A basketball gymnasium is 25 meters high, 80 meters wide and 200 meters long. We want to connect two strings, one from each of t
Rudiy27

Answer:

a) the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be 216.85 m

c) the angle that is formed by the strings is  1.23 rad

Step-by-step explanation:

assuming that we stand on one of the corners on the floor , so our coordinates are (0,0,0)  , then the coordinates of the center of the gymnasium   are found through

x center = (25 + 0)/2 = 12.5 m

y center = (80+ 0)/2 = 40 m

z center = (200+ 0)/2 = 100 m

then the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be the modulus of the vector that points from our position to the diagonally opposite corners

|S| = √(25²+80²+200²) = 216.85 m

c) the angle can be found through the dot product of the vectors that represent the strings S₁ and S₂

S₁ =(25,80,10)

S₂ =(-25,80,100)

then

S₁*S₂ = 25*(-25) +80*80 + 100*100 = 15775

but also

S₁*S₂ = |S₁||S₂| cos θ = |S|² * cos θ

S₁*S₂ =  |S|² * cos θ

cos θ= S₁*S₂/|S|²

θ= cos ⁻¹ ( S₁*S₂/|S|² ) = cos ⁻¹ [15775/(25²+80²+200²)] = 1.23 rad

7 0
2 years ago
Please help!!! If the first 4 terms of a geometric sequence are...
tigry1 [53]

Answer:

c.) aₙ = 5 × 4ⁿ⁻¹

Explanation:

Geometric sequence: aₙ = a(r)ⁿ⁻¹

where 'a' resembles first term of a sequence, 'r' is the common difference.

Here sequence: 5, 20, 80, 320,...

First term (a) = 5

Common difference (d) = second term ÷ first term = 20 ÷ 5 = 4

Hence putting into equation: aₙ = 5(4)ⁿ⁻¹

7 0
2 years ago
A parabola and its directrix are shown on the graph. On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0) a
sukhopar [10]

Answer:

The focus of the parabola is at the point (0, 2)

Step-by-step explanation:

Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."

Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)

5 0
3 years ago
Read 2 more answers
I can type 4 words per minute. How long will it take me to write<br> an 500 words essay
Lostsunrise [7]

Answer:

125 min

Step-by-step explanation:

given :

4 words -----> takes 1 min

1 word --------> takes 1/4 min

500 words ------> takes (1/4) x 500 = 125 min

4 0
3 years ago
Read 2 more answers
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