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Lina20 [59]
2 years ago
6

Is the value 5 a solution to the inequality r + 4 < 7 ?

Mathematics
2 answers:
docker41 [41]2 years ago
8 0

Answer:

No, i don't think so

Step-by-step explanation:

saveliy_v [14]2 years ago
7 0

Answer:

no

Step-by-step explanation:

5+4=9 which is greater than 7

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The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.
Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

(y-y0)  = m (x-x0)

or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

8 0
3 years ago
The cost of fabric (y) is directly proportional to he length is yards (x). If 5 yards of fabric cost $14, which equation models
marta [7]

Answer:

5x = 14

Step-by-step explanation:

If 5 yards of fabric is $14 you need an equation that would solve how much 1 yard of fabric costs. You can say 5x = 14 or x = 2.8 which means that one yard of fabric (1x or just x) is $2.80.

5 0
3 years ago
Read 2 more answers
Wyatt is training for a race. He will run 3/4 of a mile a day for 8 days. How far will Wyatt run altogether?
Natasha2012 [34]

Answer:

6 miles

Step-by-step explanation:

3/4 x 8

=6

8 0
3 years ago
Evaluate. Express your answer in exact simplest form.
kumpel [21]

Answer:

6720

Step-by-step explanation:

The writing 8P5 represents the number of permutations of 8 elements  taken 5 at a time.

<u></u>

<u>First Method</u> :

8P5 = 8 × 7 × 6 × 5 × 4

       = 6720

<u>Second Method</u> :

8P5=\frac{8!}{\left( 8-5\right)!}

=\frac{8!}{ 3!}

=\frac{8 \times 7 \times 6 \times 5 \times 4 \times 3!}{ 3!}

= 8 \times 7 \times 6 \times 5 \times 4

= 6720

6 0
1 year ago
In October sally drove 560 miles in her car.
torisob [31]
The cost is £79.76. Since the car covers 560 miles and 34.5 miles is travelled by one gallon. So, dividing 560 by 34.5 we get 16.23. Since 1 gallon is 4.55 litres, 16.23 gallons is 73.8465. Now the cost of petrol is £1.08 per litre. So, multiplying 73.8465 by £1.08 we have £79.76
4 0
3 years ago
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