All categories

3 years ago

4.

Mathematics

1 answer:

kow [346]3 years ago

5 0

Answer:

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 7)² + (y - 5)² = 16 ← is in standard form

with centre = (- 7, 5 ) and r = $\sqrt{16}$ = 4 → B

You might be interested in

What is the value of a?

Leno4ka [110]

Answer:

A=60

Step-by-step explanation:

Add 28+20+12

A=60

5 0

2 years ago

Read 2 more answers

Four different digits from 1 to 9 are required to open a safe.

masha68 [24]

Answer: 5942

Step-by-step explanation:

Clue 4 states exactly two of the digits = 1, 4, or 9

Clue 1 leaves us with the following combinations:

1, 9, 2, 8

1, 9, 3, 7 eliminate by clue 5

4, 9, 2, 5

1, 4, 7, 8

Clue 5 directs us to the following order for 1,9,2,8

2 __ __ 1 --> 2981 or 2891 eliminate by clue 2

9 __ __ 8 --> 9128 or 9218 eliminate by clue 6

9 __ __ 2 --> 9182 or 9812 eliminate by clue 6

Clue 5 directs us to the following order for 4,9,2,5

5 __ __ 2 --> 5492 or 5942 eliminate 5492 by clue 2

9 __ __ 2 --> 9452 or 9542 eliminate by clue 3

Clue 5 directs us to the following order for 1,4,7,8

4 __ __ 1 --> 4781 or 4871 eliminate by clue 2

The only combination not eliminated is 5-9-4-2, which satisfies all six clues.

1) 5 + 9 + 4 + 2 = 20

2) 5 > 4

3) 9 - 2 > 5

4) 4 & 9 but not 1 are included

5) 5 + 2 = 7, which is a prime number

6) 2 < 5, 9, 4

5 0

3 years ago

The isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side, y, meas

kicyunya [14]

An isosceles triangle has 2 sides of the same length and one side that's not the same length.

So it says the shortest side, y, is 2.1m, so that means it's the side that is not the same length as the other two sides.

But the other two sides will be the same length. Let's make those 2 sides x.

The equation would be
x + x + 2.1 = 7.5

And with that you can find x.

3 0

3 years ago

Read 2 more answers

A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,900 in political contrib

baherus [9]

The simplest interpretation would go a little something like this:

We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with

$D \ \textgreater \ 7,900$

Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have

$D=540r+34s$

So, the inequality representing this situation would be

$540r+34s\ \textgreater \ 7,900$

And that would probably be fine for this problem.

Footnote: Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?

3 0

3 years ago

If the length of a leg of a triangle is 39.2 and the area of the triangle is 63 what is the length of the other leg

Nadya [2.5K]

Answer:

The length of the other leg is $3.21\ units$