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mina [271]
4 years ago
9

Which number represents the value of the quotient below?

Mathematics
1 answer:
IgorC [24]4 years ago
4 0

\dfrac{5.0\cdot10^8}{2.0\cdot10^4}=\dfrac{5}{2}\cdot10^{8-4}=\boxed{2.5\cdot10^4}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}

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Write the equation of the line in slope-intercept form that has: slope: 3<br> point: (0,2)
goldenfox [79]

Answer:

y=3x+2

Step-by-step explanation:

y=mx+b

we have m here so

y=3x+b

then the 2 is the y-intercept

y=3x+2

7 0
3 years ago
What is the unit rate and rate of 36 customers in 30 days
ruslelena [56]
36 customers/30 days = 1.2 customers per day

30 days / 36 customers = 5/6 day per customer
5 0
3 years ago
Find the slope of the line passing through the points (-6, -3) and (4, -3).​
miskamm [114]

Answer:

m = 0

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Simply plug in the coordinates into the formula:

m = (-3 + 3)/(4 - 6)

m = 0/-2

m = 0

6 0
4 years ago
Write an equation of a ine in slope-intercept form that passes through a point (4,-6) and has a slope of -3.
Sindrei [870]

Answer:

y= -3x +6

Step-by-step explanation:

<u>slope-intercept form</u><u>:</u>

y=mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -3, m= -3.

Susbt. m= -3 into the equation:

y= -3x +c

Since the line passes the point (4, -6),

(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.

y= -3x +c

when x=4, y= -6,

-6= -3(4) +c

-6= -12 +c

c= 12 -6

c= 6

Hence, the equation of the line is y= -3x +6.

7 0
3 years ago
Perimeter of quadrilateral
aleksandr82 [10.1K]

Answer:

The answer to your question is:  14 + 2√40  = 26.6 units

Step-by-step explanation:

Data

A ( -5, 4)     B (-3, -2)     C (4, -2)     D (2, 4)

Formula

d = √(x2 - x1)² + (y2 - y1)²

Perimeter = dAB + dBC + dCD + dAD

Process

dAB = √(-3 + 5)² + (-2 - 4)²

dAB = √(2)² + (-6)²

dAB = √4 + 36

dAB = √40 units

dBC = √(4 + 3)² + (-2 + 2)²

dBC = √(7)²

dBC = √49

dBC = 7 units

dCD = √(2 - 4)² + (4 + 2)²

dCD = √(2)² + (6)²

dCD = √40 units

dAD = √(2 + 5)² + (4 - 4)²

dAD = √49

dAD = 7 units

Perimeter = √40 + 7 + √40 + 7

Perimeter = 14 + 2√40  = 26.6 units

3 0
3 years ago
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