All categories

2 years ago

Let a=1,-3,2 and b= -1,3,-2 find a-3b

1 answer:

7 0

A=<1,-3,2> and b=<-1,3,-2>

a-3b=<1,-3,2>-3<-1,3,-2>
a-3b=<1,-3,2>-<3(-1),3(3),3(-2)>
a-3b=<1,-3,2>-<-3,9,-6>
a-3b=<1-(-3),-3-9,2-(-6)>
a-3b=<1+3,-12,2+6>
a-3b=<4,-12,8>

Answer: a-3b=<4,-12,8>

You might be interested in

The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge

Nadya [2.5K]

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

$x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7$

Slope (m) = $\frac{5}{4}$

To find the missing coordinate r:

Slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute the given values in the formula.

$$\frac{5}{4}=\frac{r-1}{-7-(-15)}$

$$\frac{5}{4}=\frac{r-1}{-7+15}$

$$\frac{5}{4}=\frac{r-1}{8}$

Do cross multiplication.

$8 \times 5=4(r-1)$

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

6 0

3 years ago

jeff's credit card charges an annual rate of 5% simple interest. The balance on his card is $300, and he makes interest-only pay

kirill115 [55]

Answer: 60

Step-by-step explanation:

4 0

3 years ago

Which graph represents the function f(x) = 1/x - 1?

HACTEHA [7]

Answer:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The equation is:

f(x) = 1/x - 1

Domain

All real numbers except for {0}

4 0

2 years ago

Read 2 more answers

Which shows the correct way to convert 5 ounces to pounds

Daniel [21]

There are 16 ounces in 1 lb.

divide however many ounces you have by 16 ounces. 

34 oz / 16 oz = 2lbs 2 oz

7 0

3 years ago

Read 2 more answers

What is 5 and 9 tenths times 1 and 9 tenths

kykrilka [37]

Answer:

11.21

Step-by-step explanation:

5.9*1.9

5 0

2 years ago