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3 years ago

8

What is the equation of the line that passes through the point (5,2) and has a slope of –6/5

1 answer:

koban [17]3 years ago

3 0

Answer:

5y+6x-40=0

Step-by-step explanation:

y-2=-6/5(x-5)

5y-10=-6(x-5)

5y-10=-6x+30

5y+6x-10-30=0

5y+6x-40=0

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What is the answer to 2 5/3-2 3/2=

jek_recluse [69]

First, we can convert both of them to improper fractions.

We do that by multiplying the denominator to the whole number, adding it to the numerator, and keeping the denominator.

2 5/3 - 2 3/2

So we have:

11/3 - 7/2

Convert both of them to denominators of 6:

22/6 - 21/6

Subtract the numerators and keep the denominators:

1/6

3 0

3 years ago

Read 2 more answers

Determine the relationship between the two vecors

asambeis [7]

Answer:

Step-by-step explanation:

Since there exists a scalar

λ

λ

(namely

λ=a⋅b

λ=a⋅b

) such that

b=λa

b=λa

, the directions of the two vertices are the same (they are collinear). This implies that

|a⋅b|=|a||b|

|a⋅b|=|a||b|

.

So,

|a|=|(a⋅b)b|=|a||b||b|

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which implies that

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6 0

3 years ago

Which of the following is the balance for a single $3,200 deposit in an account with an APR of 2.6% that compounds interest quar

Flauer [41]

Answer:

$FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590$

Step-by-step explanation:

For this case we can use the formula for the future value with compound interest given by:

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

For this case since the interest is compounded quarterly we have 3 periods each year, since we have 3 quarters in a year.

r represent the rate =0.026

t = 6 represent the number of years

P = 3200 represent the amount invested at the begin

If we apply the formula (1) we got:

$FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590$

So then the balance after 6 years would be approximately 50995 with the conditions provided.

7 0

3 years ago

If the angles of a triangle are (2y - 5)degrees, (y + 20)degrees, and (3y-5) degrees what are the values of the angles

NNADVOKAT [17]

Answer:

<h3> $\boxed{ \boxed{ \bold{ \sf{51.68 \: , \: 48.34 \:, \: 80.02}}}}$ </h3>

Step-by-step explanation:

Let's solve:

As we know that the sum of angles of traingle adds to 180°

$\sf{2y - 5 + y + 20 + 3y - 5 = 180}$

Collect like terms

⇒ $\sf{6y - 5 + 20 - 5 = 180}$

⇒ $\sf{6y + 15 - 5 = 180}$

⇒ $\sf{6y + 10 = 180}$

Move constant to right hand side and change it's sign

⇒ $\sf{6y = 180 - 10}$

Calculate the difference

⇒ $\sf{6y = 170}$

Divide both sides of the equation by 6

⇒ $\sf{ \frac{6y}{6} = \frac{170}{6} }$

Calculate

⇒ $\sf{y = 28.34}$

Now, let's replace the value:

⇒ $\sf{2y - 5 = 2 \times 28.34 - 5 = 51.68}$

⇒ $\sf{y + 20 = 28.34 + 20 = 48.34}$

⇒ $\sf{3y - 5 = 3 \times 28.34 - 5 = 80.02}$

Hope I helped!

Best regards!!

8 0

3 years ago

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Decompose49.67 to to the nearest tenth

Sunny_sXe [5.5K]

49.7 because on work.com

4 0

3 years ago