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pantera1 [17]
2 years ago
7

Complete the equations with powers of 10.

Mathematics
2 answers:
Korvikt [17]2 years ago
8 0

Answer:

10³

10²

10¹

Step-by-step explanation:

411.92×1000=411,920

411.92×100=41,192

411.92×10=4,119.2

Vaselesa [24]2 years ago
8 0

Answer:

10³

10²

10

Step-by-step explanation:

411.92 × 10³ = 411920

411.92 × 10² = 41192

411.92 × 10 = 4119.2

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15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).
Radda [10]

Answer:

15<em>y</em> = -28 <em>x</em> + 205.

Step-by-step explanation:

Slope intercept  form of equation is <em>y = mx + c</em> where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}

Now equation of line:

<em> y = mx + c</em>

substituting the value of m in above expression,

y = -\frac{28}{15} x + c

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

23 = -\frac{28}{15} \times (-5) + c

23 = \frac{28}{3} + c

c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}

So equation of line in slope intercept form:

y = -\frac{28}{15} x + \frac{41}{3}

Further solving,

15<em>y</em> = -28 <em>x</em> + 205.

3 0
3 years ago
Find the value of x so that the function has the givin value<br><br> n(x)=2x+7, n(x)=17
Sunny_sXe [5.5K]

Answer: x=5

Step-by-step explanation:

Substitute 17 for n(x)

17=2x+7

Subtract 7 from both sides

10=2x

Divide each side by 2 to get the x by itself

x=5

6 0
3 years ago
Complete the solution of the equation. Find the<br> value of y when x equals 17.<br> -x + y = -27
Greeley [361]

Answer:

y= -10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
In some country the budget for defense exceeded the budget for education by ​$660.4 billion. If x represents the budget for​ edu
photoshop1234 [79]

Answer:

<u>The budget for defense can be represented as x + 660.4</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Budget for education is $ 660.4 billion less than budget for defense in some country

x = represents the budget for education, in billion of dollars

2. How can the budget for defense be​ represented?

x = represents the budget for education, in billion of dollars

x + 660.4 = represents the budget for defense, in billion of dollars also

<u>The correct answer is that the budget for defense can be represented as x + 660.4</u>

5 0
3 years ago
Find the equation of the line that passes through (-1,2) and is perpendicular to
Natalija [7]

Answer:

Remember that the slope of perpendicular lines are negative reciprocals of each other.

Step-by-step explanation:

y = 1 - 2x     the slope is -2     the value of the x term.

So the slope of the new line using point (- 1, 2)  is  1/2.

Now use y = mx + b where y = -1, x = 2, and m = 1/2 .

y = mx + b

-1 = 1/2(2) + b                solve for "b", the y-intersect

-1 =  1 + b

-2 = b

The line that is perpendicular to y = 1 - 2x  is  y = 1/2x - 2

8 0
2 years ago
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