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3 years ago

How many 10 digit phone numbers are possible with area code of 416?

Mathematics

1 answer:

iren2701 [21]3 years ago

8 0

Answer:

Eleven digits for toll calls became standard in all of North America by the end of 1994 to allow introduction of "interchangeable NPA codes" – area codes that did not have a 0 or 1 as the middle digit and could therefore be confused with the central office code – after January 1, 1995.

Step-by-step explanation:

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If f(x) = x/2 - 3 an g(x) = 3x^2 + x-6, find (f+g)(x)

PilotLPTM [1.2K]

Answer:

(f + g)(x) = 3x^2 + 3x/2 - 9

Step-by-step explanation:

In order to find a composite function through addition, you simply add the two equations together.

f(x) + g(x)

x/2 - 3 + 3x^2 + x - 6

3x^2 + 3x/2 - 9

4 0

3 years ago

A circle is shown. Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W.

Marat540 [252]

Given:

Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.

The length of TU is (y - 2).

The length of UV is 8.

The length of SW is (y + 4)

The length of WV is 6.

We need to determine the length of line segment SV.

Value of y:

The value of y can be determined using the intersecting secant theorem.

Applying, the theorem, we get;

$WV \times SV=UV \times TV$

Substituting the values, we have;

$6 \times (y+4+6)=8 \times (y-2+8)$

$6 \times (y+10)=8 \times (y+6)$

$6y+60=8y+48$

$-2y+60=48$

$-2y=-12$

$y=6$

Thus, the value of y is 6.

Length of SV:

The length of SV is given by

$SV=SW+WV$

$SV=y+4+6$

$SV=6+4+6$

$SV=16$

Thus, the length of SV is 16 units.

Hence, Option D is the correct answer.

7 0

3 years ago

Read 2 more answers

Does the construction demonstrate how to bisect a segment correctly by hand?

Aleonysh [2.5K]

Answer:

Yes; the compass was kept at the same width to create the arcs for points C and D.

Step-by-step explanation:

When bisecting a segment by hand the steps are:

-Place the compass on one of the endpoints and open the compass to a distance more than halfway across the segment.

-Swing an arc on either side of the segment.

-Keeping the compass at the same width, place the compass on the other endpoint and swing arcs on either side so that they intersect the first two arcs created.

-Mark the intersection points of the arcs and draw a line through those two points.

-The point where this new line crosses the given segment is the midpoint and divides the segment in half.

Its not b because segment c and d was created when you marked the intersection points of the arcs and just drew a line through those two points; They didn't use a straightedge. its not C because this does demonstrate how to bisect a segment by hand, Also the compass was kept at the same width to create the arcs for points C and D. Its not D because this does demonstrate how to bisect a segment by hand, Also a straightedge was not used to create segment CD.

6 0

3 years ago

Read 2 more answers

A ladder is leaning against the side of a building and positioned such that the base of the ladder is 17 ft from the base of the

andrezito [222]

Answer:

The ladder is 28.6 feet long.

Step-by-step explanation:

Given that:

Length of base = 17 feet

Length above the ground = 23 feet

These forms two legs of right angled triangle.