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3 years ago

What is the equation of the line that passes through (-1,-4) and (-2,-1)

Mathematics

1 answer:

arlik [135]3 years ago

7 0

Answer:

y+4=-3(x+1)

Step-by-step explanation:

You start by calculating the slope which is y1-y2 over x1-x2, which plugging the numbers in, comes out to be -3. Then, taking the point slope formula

(y-y1=m[x-x1]), you just plug the rest of the variables in.

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Let R = {a}, S = {x, y} and T = {p, q, r}. Find each of the following sets. a. RX(S XT) b. (RX SXT C. RXSXT 5.

malfutka [58]

Answer:

Remember that the Cartesian product over n sets X1, ..., Xn is the set

$X_1\times X_2\times\cdots\times X_n=\{(x_1,x_2,\cdots,x_n): x_i \in X_i,\; for\;i=1,\cdots,n\}$

a) First we calculate $S\times T$ ,

$S\times T=\{(x,p), (x,q),(x,r),(y,p),(y,q),(y,r)\}$

Now, we calculate $R\times(S\times T)$ ,

$R\times(S\times T)=\{(a,(x,p)), (a,(x,q)), (a,(x,r)), (a,(y,p)),(a,(y,q)),(a,(y,r))\}$

b) We calculate $R\times S\times T$

$R\times S\times T=\{(a,x,p),(a,x,q),(a,x,r),(a,y,p),(a,y,q),(a,y,r)\}$

8 0

3 years ago

Domain and range? Checking my work<br> My answer:<br> D:[-7,-1]<br> R:[-6,-3]

Lemur [1.5K]

Answer:

Correct numbers, wrong format

Step-by-step explanation:

Remember the figure is continuous so it should be written as an inequality:

D:(-7<x<-1)

R:(-6<x<-3)

4 0

3 years ago

What are the constant terms in the expression?<br><br> 6x2+7xy+3+96x2+7xy+3+9

Igoryamba

The constant are 6x2+7xy+39

8 0

3 years ago

Read 2 more answers

Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. round your answer to

Vesna [10]

The quarterly payment will be $1,127.86

<h3>What is compound interest?</h3>

Compound interest is the interest on a loan or deposit that levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

$A=\dfrac{P\timesr}{(1-(1+r)^{-n}}$

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

$A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}$

$A=$1127.86$

Hence the quarterly payment amount is $1,127.86.

To know more about Compound interest, follow

brainly.com/question/24924853

8 0

3 years ago

6. Lines C and D below are cut by transversal, t. Which of

ra1l [238]

Answer:

m∠8 = m∠2, option G

Step-by-step explanation:

Angles 8 and 2 are alternate interior angles, which means they are equal. Thus, the answer is option G, m∠8 = m∠2

8 0

3 years ago