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Talja [164]
3 years ago
10

A circle in the xy-plane has its center at (-2/3,-3/4)

Mathematics
1 answer:
Cloud [144]3 years ago
8 0

Answer:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).

Step-by-step explanation:

Start with the general equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - k)^2 = r^2

Substitute -2/3 for h and -3/4 for k, and also 5 for r:

(x - [-2/3])^2 + (y - [-3/4])^2 = 5^2, or

(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).

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Plz Help if possible
MrRa [10]

Answer:

2x + y = 2.

Step-by-step explanation:

First  find the slope of the required line by writing the line 2x + y = -5 in slope intercept form:

2x + y = -5

y = -2x - 5

- so the slope is -2.

Therefore the required equation is

y = -2x + 2    (where  2 is the y-intercept).

Converting to standard form:

y = -2x + 2

2x + y = 2.

3 0
3 years ago
The following map shows the time it takes to drive between four cities in Texas. Jacob has to drive from San Antonio to Houston,
sertanlavr [38]

Answer:

it is 7 5/12

Step-by-step explanation:

3 and 1/3 plus 4 and 1/12 and you need to multiply the denominator to get 12 ( witch is 4 ) then multiply the numerator by 4 and then you add the 2 numbers together to get 4/12 + 1/12 and then you need to add the whole numbers 3 + 4

witch gets you 7 and 5/12

3 0
2 years ago
when 2 is added to five times a number, the result is less than 13 .find the greatest whole number that satisfies the statement​
Ghella [55]

Answer:

2

Step-by-step explanation:

The text translates to:

5x + 2 < 13

which simplifies to

x < 11/5

the greatest integer that does this is 10/5, a.k.a. 2

4 0
3 years ago
What is the GCF of the polynomial: −16y^4+12y^2−4y?
Nana76 [90]

Answer:

4y

Step-by-step explanation:

every part of the equation can be evenly divided by 4 and y

so this leaves you with 4y (-4y^{3} + 3y - 1)

3 0
3 years ago
Read 2 more answers
How many x-intercepts does the graph of each quadratic equation have? Show your work.
Alex73 [517]

Answer:

Step-by-step explanation:

In each case we find the discriminant b^2 - 4ac.

If the discriminant is negative, we have two unequal, complex roots.

If the discriminant is zero. we have two equal, real roots.

If the discriminant is positive, we  have two unequal real roots.

#51:  8v^2 - 12v + 9:  the discriminant is (-12)^2 - 4(8)(9) = -144.  we have two unequal, complex roots

#52:  (-11)^2 - 4(4)(-14) = 121 + 224 = 345.  we  have two unequal real roots.

#53:  (-5)^2 - 4(7)(6) = 25 - 168 (negative).  we have two unequal, complex roots.

#54:  (4)^2 - 16 = 0.  We have two equal, real roots.

4 0
3 years ago
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