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2 years ago

What is the distance between points (1, 4) and (9, 16)? round to the nearest tenth.

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

6 0

Answer:

14.4 to nearest tenth.

Step-by-step explanation:

By the Pythagoras theorem:-

Distance = √ [ (y2-y1)^2 + (x2-x1)^2 ] where the 2 points are (x1,y1) and (x2,y2)

= √ [ (16-4)^2 + (9-1)^2]

= √ 208

= 14.4

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The graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answe

sineoko [7]

Answer:

Step-by-step explanation:

hello :

f(x)=-2x and g(x)=(1/2)^x

f(-2)=-2(-2) =4

g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4

4 0

2 years ago

Solve for N, <br><br> −2p + 6n = 5

topjm [15]

Answer:

$n=\frac{1}{3}p+\frac{5}{6}$

Step-by-step explanation:

In this question, you are solving for n.

Solve:

−2p + 6n = 5

We have to get "n" by itself, so add 2p to both sides.

6n = 2p + 5

Since the variable "n" has a number next to it, we have to get rid of that number in order to get our answer.

To do so, we would divide both sides by 6.

$n=\frac{2}{6}p+\frac{5}{6}$

Simplify the equation further.

$n=\frac{1}{3}p+\frac{5}{6}$

5 0

2 years ago

In the rectangle

LekaFEV [45]

In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.

If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.

Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.

Make sure you draw a diagram of it!!

7 0

2 years ago

Read 2 more answers

20. The total mass of three boxes, A, B, and C, is 1.95 kg. The mass of Box A is 700 g. The mass of Box B is 4 times the mass of

Ksju [112]

Answer:

Step-by-step explanation:

LET'S DO THIS!

Total mass of A, B and C = 1.95kg

Mass of A = 700 kg

Mass of B = 4x the mass of c (4 x C) which is 4c

Mass of C = ? ( let's call it C )

<h3>Adding all together </h3>

700 + 4c + C = 1.95

<h3>Add like terms</h3>

700 + 5C = 1.95

5C = 1.95 - 700

5C = -698.05

C = -698.05 ÷ 5

<h3>To find B now </h3><h3>Remember they said B is 4 times the mass of C and C = -139.61</h3>

therefore B = 4 × -139.61

<h3>To check if we are correct, we add the masses of A, B and C to see if it equals their total mass which is 1.95kg</h3>

<h3>Using your calculator: </h3>

= 700 + ( -558.44 ) + ( -139.61 )

= 700 - 558.44 -139.61

= 1.95 kg

Which makes us CORRECT ✅.

<h3>Hope this helps.</h3><h3>Good luck ✅.</h3>

5 0

1 year ago

Read 2 more answers

What x 3 = 120.<br><br> 2x what = 120

VLD [36.1K]

Answer:

40×3 =120

2×60=120

Step-by-step explanation: have a good day

7 0

2 years ago