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3 years ago

The line passing through point (2, 4), parallel to the line whose equation is y = x

Mathematics

1 answer:

grandymaker [24]3 years ago

7 0

Answer:

y = x + 2

Step-by-step explanation:

slope = 1

y = mx + b

4 = 1(2) + b

2 = b

y = x + 2

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Which of the following sets of points does NOT represent a function?

QveST [7]

1 does not represent a function

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2 years ago

Select the correct answer.

Amiraneli [1.4K]

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2 years ago

In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.

bezimeni [28]

Given:

In the circle, $m(\overarc{VUX})=152^\circ$ and $m(\angle MUV)=77^\circ$ .

To find:

The following measures:

(a) $m\angle VUX$

(b) $m\angle UXW$

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

$m(VUX)=2\times m\angle VWX$

$152^\circ=2\times m\angle VWX$

$\dfrac{152^\circ}{2}=m\angle VWX$

$76^\circ=m\angle VWX$

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

$m\angle VUX+m\angle VWX=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle VUX+76^\circ=180^\circ$

$m\angle VUX=180^\circ-76^\circ$

$m\angle VUX=104^\circ$

Now,

$m\angle UXW+m\angle UVW=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle UXW+77^\circ =180^\circ$

$m\angle UXW=180^\circ-77^\circ$

$m\angle UXW=103^\circ$

Therefore, $m\angle VUX=104^\circ$ and $m\angle UXW=103^\circ$ .

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2 years ago

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2 years ago

Read 2 more answers

A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds

Mila [183]

Answer:

The range includes all numbers from 5 to 12.5.

Step-by-step explanation:

The range is along y- axis and the domain is along x- axis.

Range is given in heights and domain is given in time seconds.

It can depicted that for t= 0 secs the ball is at 5 feet and so on .

Therefore the range is given by numbers from 5 to 12.5.

Whereas the domain is given by numbers 0 t0 8.5 seconds

3 0

2 years ago