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aleksandrvk [35]

4 years ago

14

Minxia counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stays the same, how many more si

lver cars would need to be added so the ratio of green cars to silver cars is 1 to 3

1 answer:

lukranit [14]4 years ago

4 0

Answer:120

Step-by-step explanation:

120

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Find the length of AB

aniked [119]

FIRST QUESTION
Given points are:
A(2, -4) and B(6, 2)
Now, Use the distance formula.
distance formula = $\sqrt{ (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2} }$

Now, plug the values into the formula, So,
distance = $\sqrt{ (6- 2)^{2} + ( 2 - (-4))^{2} }$

= $\sqrt{ (6- 2)^{2} + ( 2 +4))^{2} }$

= $\sqrt{ (4)^{2} + ( 6))^{2} }$

= $\sqrt{ 16+36}$

= $\sqrt{52}$

= $2 \sqrt{13}$

So, the length of AB is $2 \sqrt{13}$ .

<span>THIRD QUESTION
</span>Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = $(\frac{ x_{1}+ x_{2} }{2} , \frac{ y_{1}+ y_{2} }{2} )$

$(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )$

Now, equaling the ordered pair, we have,

$1=\frac{ 3+ a }{2}$ .............equation (1)

$1=\frac{ -2+b }{2}$ ................equation (2)

Now, taking equation (1)
$1=\frac{ 3+ a }{2}$

$1*2=3+a$

$2-3=a$

$a=-1$

Now, taking equation (2)
$1=\frac{ -2+b }{2}$

$1*2=-2+b$

$2+2=b$

$b=4$

<span>So, the co ordinates of C are (a, b) which is <u>(-1 , 4)

</u></span>
<span>SECOND QUESTION:
</span>Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
2x + 3(2 + 2x) = 14
2x + 6 + 6x = 14
8x = 14 - 6
x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
y = 2 + 2
y = 4

So, x=1 and y=4

6 0

3 years ago

I need Geometry help

Anvisha [2.4K]

Yes that is correct
answer
AAS congruence theorem
<M = <P
<MNR = <PNQ
RN = NQ

3 0

3 years ago

Help! Quickly!!!!

Naily [24]

Answer:

$116.82

Step-by-step explanation:

$99 * 18% = $17.82

^ this is our tax now we need to add it to the total cost of the room ($99)

$99 + $17.82 = $116.82

7 0

3 years ago

I need help with ratios.

ra1l [238]

Me toooo! if anyone in these comments could answer my question, that'd be awesome!

6 0

3 years ago

Read 2 more answers

Hoping you can solve all of these problems!

nadya68 [22]

Answer:

n-13

3n
12x-9
-k
-30n
-4n

Step-by-step explanation:

5 0

3 years ago