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3 years ago

Please help me answer the question in the picture

Mathematics

1 answer:

elena55 [62]3 years ago

7 0

Answer:

Step-by-step explanation:

A and D are the only ones that cover (3, 3), as then x = 3 and y = 3 leads to an 0 = 0 expression (which is true).

the other two with x+3 and y+3 lead to clearly unequal expressions.

now we use (6, 5) to find the right answer between A and D.

A is then

5-3 = 3/2 × (6-3)

2 = 3×3/2 = 9/2

which is clearly unequal.

D is then

5-3 = 2/3 × (6-3)

2 = 2×3/3 = 2

this is true, so, D is correct

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Find coordinates of the focus, the length of the latus rectum, and the coordinates of its endpoint for y^2= 4x

d1i1m1o1n [39]

Answer:

a) Focus is (1,0)

b) Length of Latus rectum is 4

c) The endpoints of the latus rectum is (1,-2) and (1,2)

Step-by-step explanation:

The given parabola has equation

${y}^{2} = 4x$

When we compare to

${y}^{2} = 4px$

We have

$4px = 4x$

This implies,

$p = 1$

The focus of this parabola is at (p,0).

Therefore the focus is (1,0)

b) The length of the latus rectum is given by

$|4p|$

From a) part we found p to be 1.

Substitute p=1 to obtain:

$|4 \times 1| = 4$

c) The focus is the midpoint of the latus rectum.

Since the focus is (1,0), we substitute x=1 into the equation to see intersection of the latus rectum and the parabola.

${y}^{2} = 4(1)$

This means that:

${y}^{2} = 4$

Take square root:

$y = \pm \sqrt{4}$

$y = \pm2$

$y = - 2 \: or \: y = 2$

Therefore the end of latus rectum are at (1,-2) and (1,2)

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3 years ago

Ms. Aluma is 165 cm tall. She wants to find her height in meters. Divide her height in centimeters by 100 to find her height in

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The height of a radio tower is 650 feet, and the ground on one side of the tower slopes upward at an angle of 10°.

Leni [432]

Answer with Step-by-step explanation:

We are given that

Height of radio tower =650 ft

From figure

AB=650 ft

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We have to find the AC.

Using cosine law:

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$AC=\sqrt{(650)^2+(180)^2-2\times 650\times 180\times cos 80^{\circ}}$

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Hence, a guy required 643.64 ft wire when it is to connect to the tower and be secured at a point on the sloped side 180 ft from the base of the tower.

b.In a right triangle ABC, AB= $\frac{650}{2}=325 ft$

Pythagorous theorem : $(Hypotensuse)^2=(perpendicular\;side)^2+(base)^2$

Substitute the values

$(AC)^2=(AB)^2+(BC)^2$

$(AC)=\sqrt{(325)^2+(180)^2}$

$AC=371.52 ft$

Hence, the length of wire should be 371.52 ft when a second guy connect the middle of the tower and be secured at a point 180 ft from the base on the flat side by wire.

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Answer:

Step-by-step explanation:

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