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qaws [65]
3 years ago
10

Find the distance between K(9, 2) and L(–3, 9) to the nearest tenth.

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

d = √[(-3-9)²+(9-2)²]

= √[144+49]

= √194

= 13.9  

Hope it help! :)

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What is the equation of the line? Write in standard form. (4,5).
dezoksy [38]

Answer:

\large\boxed{5x+4y=20}

Step-by-step explanation:

The equation of a line in slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

We have the x-intercept = 4 → (4, 0), and y-intercept = 5 → b = 5.

Therefore we have the equation:

y=mx+5

Put the coordinates of x-intercept to the equation:

0=4m+5          <em>subtract 4m from both sides</em>

-4m=5           <em>divide both sides by (-4)</em>

m=-\dfrac{5}{4}

Finally we have the equation of a line if slope-intercept form:

y=-\dfrac{5}{4}x+5

The standard form:

Ax+By=C

Convert:

y=-\dfrac{5}{4}x+5             <em>multiply both sides by 4</em>

4y=-5x+20               <em>add 5x to both sides</em>

5x+4y=20

4 0
3 years ago
Jennifer has $26 less than triple the savings of Matthew. Matthew has saved $81. How much has Jennifer Saved?​
BabaBlast [244]
$81 x 3 = triple the savings = $243
$243 - $26 = what Jennifer has saved which equals = $217
I think that’s how you do it, anyways hope this helped!
6 0
3 years ago
HEEEELP PLEAAASE I NEED THISSS!!!!!!!!!!!!!!! BRANILIEST FOR THR RIGHT ANSWER
Andru [333]

Answer:

2x

Step-by-step explanation:

I think so not sure try it tho

5 0
3 years ago
Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
alekssr [168]

Answer:

They traveling at 0.37\ m/s in backward direction.

Step-by-step explanation:

Given mass of Ammy m_1=55kg

and velocity is forward at v_1=3m/s

Also, mass of Jenny m_2=40kg

Who is travelling in opposite direction v_2=-5m/s

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is v

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

m_1v_1+m_2v_2=(m_1+m_2)v

(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s

So, velocity after collision v≅-0.37m/s is in opposite direction. That is the direction of Jenny.

6 0
3 years ago
A rectangular aquarium 3 ft. x 2 ft. 1 ft. is 2/3 full of water. In cubic feet, how much water is in the tank
tatuchka [14]

To find the volume of a rectangular prism, we must multiply the length * width * height.


In this case,


Volume = 3 ft * 2 ft * 1 ft

= 6 ft^3


Because this tank is 2/3 full with water, to find out how much water is in the tank, we must multiply 2/3 by the total volume of the tank (6 ft^3).


2/3 * 6 ft^3 = 4 ft^3


This means that there are 4 cubic feet of water in the tank.


Hope this helps!

6 0
3 years ago
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