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3 years ago

Center: (-9, -3), point on circle: (-11, 2)

Mathematics

1 answer:

Vsevolod [243]3 years ago

6 0

Answer:

y = - $\frac{5}{2}$ x- $\frac{51}{2}$

Step-by-step explanation:

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Triangle congruence... SAS SSS AAS ASA pls explain why

abruzzese [7]

Answer:

it is SAS

Step-by-step explanation:

because BC is common side in both triangles

now two triangles have 2 sides equal and 1 angle equal so

it is congruent by SAS rule

4 0

3 years ago

Joshua had a reading assignment in English the assignment began on the top of page 100 and ends at the bottom of page 128 how ma

REY [17]

Step-by-step explanation:

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3 0

2 years ago

Laura has two large cylindrical barrels of solution in her chemical laboratory. The first barrel contains 900 liters of solution

aleksley [76]

Answer:

-36m + 900 < 44m + 100

Step-by-step explanation:

Given that:

The first barrel contains 900 liters of the solution; &

The second barrel contains 100 liters of solution.

So, Laura drains the first barrel at the rate of 36 liters/ min

Since Laura is draining the solution in the first barrel;

Then; we have - 36m + 900 litres

Also; Laura fills the second barrel at a rate of 44 liters per minute.

Since Laura is filling the barrel; we have: 44m + 100

Therefore; the inequality representing when the second barrel contains a greater or equal amount of solution than the first barrel can be expressed as:

- 36m + 900 < 44m + 100

6 0

3 years ago

If a computer network has 60 switching nodes, in how many ways can 2 or 3 nodes fail?___________

notka56 [123]

Answer:

There are 35990 ways in which 2 or 3 nodes fail

Step-by-step explanation:

Given : A computer network has 60 switching nodes.

To Find : In how many ways can 2 or 3 nodes fail?

Solution:

We are supposed to find no. of ways can 2 or 3 nodes fail.

So, we will use combination here .

No. of ways can 2 or 3 nodes fail= $^{60}{C_2 +^{60}C_3$

Formula : $^nC_r =\frac{n!}{r!(n-r)!}$

No. of ways can 2 or 3 nodes fail= $\frac{60!}{2!(60-2)!}+\frac{60!}{3!(60-3)!}$

= $35990$

Hence there are 35990 ways in which 2 or 3 nodes fail

5 0

3 years ago

Jenny invest $1000 at a rate of 12.5% that compounds annually for eight years the future value of the investment can be calculat

artcher [175]

Answer:

$\$2,565.78$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value or Future Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=8\ years\\ P=\$1,000\\ r=12.5\%=12.5/100=0.125\\n=1$

substitute in the formula above

$A=1,000(1+\frac{0.125}{1})^{1*8}$

$A=1,000(1.125)^{8}$

$A=\$2,565.78$

5 0

3 years ago