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3 years ago

Find an ordered pair to represent t in the equation t=1/2u+v if u=(-1,4) and v=(3,-2)

Mathematics

2 answers:

Leona [35]3 years ago

7 0

Answer:

t=(2.5,0)

Step-by-step explanation:

Given that

$t=\frac{1}{2} u+v$

and

u=(-1,4)

v=(3,-2)

Then,substitute value of u and v in the equation

$t=\frac{1}{2} (-1)+3=-\frac{1}{2}+ (3)=2.5\\\\\\\\t=\frac{1}{2} (4)+-2=2+-2=0\\\\\\t=(2.5,0)$

Setler [38]3 years ago

4 0

Answer:

The answer on edge is C

Step-by-step explanation:

You might be interested in

Write the equation that passes through the given point and has the slope indicated: (1, -3); with slope (-3/5)

TiliK225 [7]

Answer:

y = -3/5x - 12/5

Step-by-step explanation:

The equation I'm going to give is going to be in slope-intercept form. If you need it in point-slope, I can do so in an edit or the comments.

Slope-intercept form is: <em>y = mx + b</em> where m is the slope, b is the y-intercept.

So let's plug in our given slope:

y = -3/5x + b

Using this, we now plug in our x- and y-coordinates from the given point to solve for b.

-3 = -3/5(1) + b

-3 = -3/5 + b

Add 3/5 to both sides to isolate variable b.

-3 + 3/5 = b

-15/5 + 3/5 = b

-12/5 = b

Plug this new info back into the original equation and your answer is

y = -3/5x - 12/5

6 0

3 years ago

Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

3 0

4 years ago

PLEASEHELP!!!!!!

pantera1 [17]

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

$v_2 = v_1 + 4$ .

The first runner's speed is 4/5 of the speed of the second runner, hence:

$v_1 = \frac{4}{5}v_2$

$v_1 = \frac{4}{5}(v_1 + 4)$

$\frac{1}{5}v_1 = \frac{16}{5}$

$v_1 = 16$

$v_2 = 16 + 4 = 20$

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at brainly.com/question/24863377

5 0

2 years ago

Read 2 more answers

Pls help this is probably super easy but not for me

san4es73 [151]

Answer:

A. 29 feet

Step-by-step explanation:

Use cos to find the hypotenuse

cos = adj/hp

0.64 = 20/hyp

hyp = 20/0.64

hyp = 31.25

---------------------------

Use Pythagorean Theorem to find the height of tree above eyes

a² + b² = c²

a² + 20² = 31.25²

a² = 31.25² - 20²

a² = 576.5625

a = 24 (to the nearest foot)

-------------------------------

Finally add in the eye height

h = 24 + 5

h = 29 feet

3 0

3 years ago

Read 2 more answers

Please help me out I need it done ASAP

Scorpion4ik [409]

Your answer will be letter b

3 0

3 years ago