All categories

3 years ago

Compute the following linear combination. (79.4, 58.1) + 3(-0.8, 6.3)

Mathematics

2 answers:

Aliun [14]3 years ago

5 0

<h2>Answer:</h2>

The resultant of the following linear combination is:

(77,77)

<h2>Step-by-step explanation:</h2>

We are asked to find the linear combination of the expression:

(79.4, 58.1) + 3(-0.8, 6.3)

We multiply each of the term in the second coordinate by 3 .

i.e. this could also be given by:

(79.4, 58.1) + (3×-0.8, 3×6.3)

= (79.4, 58.1) + (-2.4, 18.9)

Now as there is a addition sign in between the two coordinates i.e. each of the first and the second coordinate will get added

i.e.

= (79.4+(-2.4),58.1+18.9)

= (79.4-2.4,58.1+18.9)

= (77,77)

i.e.

(79.4, 58.1) + 3(-0.8, 6.3)=(77,77)

yan [13]3 years ago

4 0

Answer:

(77, 77)

Step-by-step explanation:

Carry out the indicated multiplication:

3(-0.8, 6.3) → (-2.4, 18.9)

Next, combine like terms:

(79.4, 58.1) + (-2.4, 18.9). In other words, combine the x terms 79.4 and -2.4 separately and then the y terms 58.1 and 18.9 separately:

(79.4, 58.1) + (-2.4, 18.9) → (77, 77)

You might be interested in

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

5 0

3 years ago

HELP! HELP!

alexgriva [62]

Answer:

The answer should be C. By combining like terms you can find the answer. 1.75a+2.75a = 4.5a

2.25b + 1.75b = 4b

2.25c + 1.25c = 3.5c

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

If there is an increase in the money supply that causes prices to rise and

andrew-mc [135]

Answer:

The answer is B.

Step-by-step explanation:

5 0

4 years ago

3. The student council is selling roses to collect funds for a charity. The graph be

dexar [7]

Answer:

$Unit = 3$

Step-by-step explanation:

Given

See attachment for graph

Required

The unit cost

Pick any point on the dots of the graph; we have:

$(x,y) = (2,6)$

The unit cost is then calculated as:

$Unit = \frac{6}{2}$

$Unit = 3$

5 0

3 years ago

How does the diagram show that the slope between any

tensa zangetsu [6.8K]

The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.

Option D is correct.

<h3>What is the slope of a graph?</h3>

The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).

$\mathbf{slope = \dfrac{rise}{run}}$

$\mathbf{slope = \dfrac{\Delta y}{\Delta x}}$

$\mathbf{slope = \dfrac{ y_2-y_1}{x_2-x_1}}$

From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.

Learn more about the slope of a graph here:

brainly.com/question/19376563

#SPJ1

4 0

2 years ago