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2 years ago

Can someone please help me answer this

Mathematics

2 answers:

maria [59]2 years ago

8 0

Answer:

(-2,6)

Step-by-step explanation:

bogdanovich [222]2 years ago

4 0

Answer:

The center is at (-2,6) and the radius is 7

Step-by-step explanation:

The equation of a circle can be written as

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

where (h,k) is the center and r is the radius

(x+2)^2 +(y-6)^2 = 49

( x- -2)^2 +(y-6)^2 = 7^2

The center is at (-2,6) and the radius is 7

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The Area Ratio of two similar solids is 169: 289. If the volume of the smaller solid is 689,858 cm, what is the volume of the la

masha68 [24]

Answer:

1,542,682 cm^3.

Step-by-step explanation:

The scale factor = √169:√289

= 13:17

So the Volume ratio is 13^3:17^3

So the volume of the larger solid is 689,858 * (17^3/13^3)

= 1,542,682 cm^3.

5 0

2 years ago

Solve the equation by factoring. 2x^2 + 15x + 25 = 0

Pepsi [2]

Answer:(2x+5)(x+5)=0

Step-by-step explanation:

2x^2+15x+25=0

Factorise we have

2x^2+10x+5x+25

(2x^2+10x)+(5x+25)=0

2x(x+5)+5(x+5)=0

(2x+5)(x+5)=0

7 0

2 years ago

Read 2 more answers

S=a1/1-r

valentinak56 [21]

Answer:

Step-by-step explanation:

This is an infinite geometric series. This has a sum of $\frac{a}{1-r}$

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

First term:

$3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{1-1}\\=3(\frac{1}{4})^0\\=3(1)\\=3$

Second term:

$3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{2-1}\\=3(\frac{1}{4})^1\\=3(\frac{1}{4})\\=\frac{3}{4}$

Let's see the common ratio: $\frac{\frac{3}{4}}{3}\\=\frac{3}{4}*\frac{1}{3}\\=\frac{1}{4}$

Thus we have a = 3 and r = 1/4. Plugging into the formula of the infinite sum, we get:

$s=\frac{a}{1-4}=\frac{3}{1-\frac{1}{4}}=\frac{3}{\frac{3}{4}}=3*\frac{4}{3}=4$

So, the answer is 4

4 0

2 years ago

Ashley needs to buy some pencils. Brand A has 20 pencils for $6. Brand B has 40 pencils for $8.50. Based on the unit price, whic

Kruka [31]

Answer:

The answer to your question is Brand B

Step-by-step explanation:

Data

Brand A amount of 20 pencils cost $6

Brand B amount of 40 pencils cost $8.5

Process

1.- Calculate the unit price of each brand of pencils dividing the cost by the number of pencils

Brand A 6/20 = $0.3

Brand B 8.5/40 = $0.21

2.- Conclusion

Brand B is a better deal because you buy more pencils for a lower price.

3 0

2 years ago

. In a triangle, the second angle measures twice the first, and the third

IRISSAK [1]

Answer:

First angle = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 2x+5 = 70 + 5 = 75°

Step-by-step explanation:

Given : 

The second angle measures twice the first, and the third angle measures 5 more than the second.

Sum of angles = 180°

Solution : 

Let the first angle be x

According to the given question :

Second angles = 2x

Third angle = 2x + 5

we know that Sum of angles = 180°

Solving x value :

x + 2x + (2x+5) = 180°

5x + 5 = 180

5x = 180 - 5

5x = 175

x = 175/5

x = 35

Finding the measure of each angle : 

First angle = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 2x+5 = 70 + 5 = 75

3 0

2 years ago