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yaroslaw [1]
3 years ago
14

Solve the following proportion. х 42 35 10

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

12

Step-by-step explanation:

The proportion is equal to \frac{x}{10}=\frac{42}{35}

We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get

60=5x

Dividing both sides by 5, we have the answer as

x=12

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AC has endpoints<br> A(3,7) and C(6,11).<br> Find AB if B is the<br> midpoint of AC.
faltersainse [42]

Answer:

d=2.5

Step-by-step explanation:

first find the coordinate of B(mid point of AC):A(3,7) C(6,11)

d=√(6-3)²+(11-7)²

d=√3²+4²

d=√9+16=√25=5

since B is the mid point : d/2=5/2=2.5

<h2>Another way :</h2>

B(x1+x2/2 , y1+y2/2)   , x1=3 , x2=6, y1=7, y2=11

B(9/2,18/2)

B(9/2,9)

Find AB : the length or distance between 2 points:

d=√(x2-x1)²+(y2-y1)²

d=√(3-9/2)²+(7-9)²

d=√(-3/2)²+(-2)²

d=√1.5²+4

d=√6.25

d=2.5

8 0
3 years ago
Simplify. (4w + 3) – 2w + 7
maks197457 [2]

Answer:

2w+10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Drag and drop the answer into the box to identify each function as linear, exponential, or neither.
katrin2010 [14]
<span>​x​ 2 3 4
f(x) 5.5 7 8.5 </span>

The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract. 

<span>x​ 0 3 6
f(x) 1 8 64</span> 

The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern. 

I hope this makes sense. Btw I had this question on my test too and this is correct. 
4 0
3 years ago
Read 2 more answers
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
Lynna [10]

ANSWER

1.39

EXPLANATION

The given quadratic equation is

0 = 2 {x}^{2}  + 3x - 8

This is the same as,

2 {x}^{2}  + 3x - 8 = 0

Comparing to

a {x}^{2}  + bx  + c = 0

We have

a=2, b=3,c=-8

Using the quadratic formula, the solution is given by:

x =  \frac{ - b \pm \:  \sqrt{ {b}^{2}  - 4ac} }{2a}

We substitute the values to get,

x =  \frac{ - 3\pm \:  \sqrt{ {3}^{2}  - 4(2)( - 8)} }{2(2)}

x =  \frac{ - 3\pm \:  \sqrt{ 73} }{4}

The positive root is

x =  \frac{ - 3 + \:  \sqrt{ 73} }{4} = 1.39

to the nearest hundredth.

4 0
3 years ago
Read 2 more answers
Lisa says that 43 is a 2 digit odd number that is a composit is she correct
Kamila [148]
No!

43 doesn't divide by anything.
6 0
3 years ago
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