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3 years ago

If r + t = 10 and -r + t = 4, What is the value of 5r + 8t?

Mathematics

1 answer:

ikadub [295]3 years ago

7 0

Answer:

Step-by-step explanation:

Start solving using simultaneous equation,From there, we have r to be 3 and t to be 7

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Evaluate the expression when x=-2 and y=3 3x-4y

Illusion [34]

The expression re-written: 3(2) - 4(3)

First, we multiply (PEMDAS)

3 * 2 = 6

4 * 3 = 12

6 - 12 = -6

Answer: - 6

7 0

3 years ago

On a cold day, hailstones fall with a velocity of 2i − 6k m s−1 . If a cyclist travels through the hail at 10i m s−1 , what is t

Paraphin [41]

Answer:

The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

Step-by-step explanation:

Given : On a cold day, hailstones fall with a velocity of $2\hat{i}-6\hat{k}\text{ m/s}$ . If a cyclist travels through the hail at $10\hat{i} \text{ m/s}$ .

To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?

Solution :

The velocity of the hailstone falls is $V_h=2\hat{i}-6\hat{k}\text{ m/s}$

The velocity of the cyclist travels through the hail is $V_c=10\hat{i} \text{ m/s}$

The velocity of the hail relative to the cyclist is given by,

$V_{hc}=V_h-V_c$

Substitute the value in the formula,

$V_{hc}=2\hat{i}-6\hat{k}-10\hat{i}$

$V_{hc}=-8\hat{i}-6\hat{k}$

So, The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

Now, The angle of hails falling relative to the cyclist is given by

$\theta = \tan^{-1}(\frac{-6}{-8})$

$\theta = \tan^{-1}(\frac{3}{4})$

$\theta = 36.86^\circ$

So, The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

4 0

3 years ago

Can someone solve point-slope lines and show work? I’m confused

Bad White [126]

Answer:

Option (2)

Step-by-step explanation:

Equation of a line passing through a point (x', y') and slope 'm' is given by,

y - y' = m(x - x')

From the question in the picture attached,

Slope of the line 'm' = $-\frac{7}{10}$

Line passes through a point (80, -71).

Equation of the line will be,

y + 71 = $-\frac{7}{10}(x-80)$

y = $-\frac{7}{10}x+56-71$

y = $-\frac{7}{10}x-15$

Option (2) will be the answer.

8 0

2 years ago

A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volum

Temka [501]

Answer:

The correct option is option D

Step-by-step explanation:

The volume of a pyramid is:

V=1/3(B)(H)

Where

B:Base = s^2

H:Height = 2/3s

Then:

V=1/3(B)(H) = 1/3(s^2)(2/3s) = 2/9s^3

The correct option is option D

8 0

3 years ago

2 please help. i will give brainlies and 50 points. if you use my points without an answer i will have your account deleted and

Iteru [2.4K]

Answer: Area: 5808 Primiter: 308

3 0

3 years ago

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