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3 years ago

Does the equation x2 - 4x + y2 = -3 intersect the y-axis?

1 answer:

6 0

No. The y-intercept is the value of y when x=0, hence it intersects the y-axis when x=0. In this case:

0^2-4(0)+y^2=-3

y^2=-3

y=√-3

Since there is no real square root of a negative value, the curve does not intersect the y-axis

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In rectangle ABCD with side AD = 6 cm, point M is the midpoint of side

sineoko [7]

So if the measure of angle AMB = 90 so the another right triangle is formed which is ADM, since the it is a right triangle the legs are equal, then the lenght AD = DM and we can solve the length of AM
AM = sqrt( AD^2 + DM^2)
AM = sqrt( 6^2 + 6^2)
AM = 6sqrt(2)
now we can solve the length of AB
AB = sqrt ( AM^2 + MB^2)
AB = sqrt ( 6sqrt(2)^2 + 6sqrt(2)^2)
AB = 12

so the perimeter = 2(6) + 2(12) = 36

4 0

3 years ago

Please help me with this !! I REALLY need to have good grades because...Back story I had my phone and I broke it and I can't get

nevsk [136]

Answer:

Transformation include reflecting and dilating of points

The scale factor from PQR to P'Q'R' is 1/4

The coordinates of P"Q"R" are P"=(-1,0) Q"=(0,-1) R"=(2,-1) .

PQR and P′'Q′'R′' are not congruent

The points are given as:

p=(4,0)

q=(0,-4)

r=(-8,-4)

p'=(1,0)

q'=(0-1)

r'=(-2,-1)

(a)The scale factor from PQR to P'Q'R

To do this, we make use of corresponding sides QR and Q'R

So, the scale factor (k) is:

k=q'r'/qr

k=2/8

k=1/4

(b) The coordinates of P"Q"R from reflecting P'Q'R' about the y-axis

The rule of this transformation is:

(x,y)--------(-x,y)

So, we have:

p"=(-1,0)

q"=(0,-1)

r"=(2,-1)

No they are not

This is so because

PQR was dilated by 1/4 to get P'Q'R

P'Q'R' and P"Q"R" are congruent

Hence, PQR and P′'Q′'R′' are not congruent

Step-by-step explanation:

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2 years ago

Dsfsdfsdfsdfdfsdfwekjlfsdf

Verizon [17]

Answer:

SDFGHJKLJJS HI

Step-by-step explanation:

8 0

2 years ago

A race car travels 100 feet in 5 seconds, at this rate of speed, how many feet will the race car travel in a minute

Basile [38]

There are 60 seconds in one minute, and 60/5=12, so the race car would travel 100 feet every 5 seconds 12 times in one minute. You can simply multiply 100 by 12 to get your answer.
100x12=1200
The race car travels 1,200 feet in one minute.

6 0

3 years ago

Read 2 more answers

Cara's unpaid credit card balance is $5392.39. Her APR is 13.2%, and she made one new transaction for $204. What is her new bala

laila [671]

$5655.71 is the answer.

5 0

3 years ago