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ololo11 [35]
3 years ago
13

Divide. (−10m9 − 4m8 − 12m6) ÷ 2m4

Mathematics
2 answers:
lana [24]3 years ago
6 0

Answer:

A. - 5m^{5}-2m^{4}-6m^{2}

Step-by-step explanation:

When dividing a few units by the same number. they can be split and individually divided before subtracting them from each other. When dividing with numbers with exponents, the exponents are subtracted from one another, while the base numbers are divided:

\frac{-10m^{9} -4m^{8}-12m^{6}}{2m^{4}} \\\\=\frac{-10m^{9} }{2m^{4}} -\frac{4m^{8} }{2m^{4}}-\frac{12m^{6} }{2m^{4}}\\\\= - 5m^{5}-2m^{4}-6m^{2}

Fofino [41]3 years ago
4 0
The answer is A -5m^5-2m^4-6m^2
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The flagpole in front of VHS 50 feet tall. The angle of elevation from the end of its shadow to the top of the flagpole is 46°.
mamaluj [8]

Answer:

The length of the shadow is 48.28 feet.

Step-by-step explanation:

The flagpole at its shadow form a 46, 44, 90 triangle.

Let AB be the flagpole.  AC is the shadow.

Let's use the sine law to calculate AC.

\frac{AC}{sin(44)}=\frac{50}{sin(46)}\\AC=\sin(44)*\frac{50}{sin(46)}AC=48.28

5 0
3 years ago
Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8
goblinko [34]
\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y  = \frac{17}{14} } \atop {x+7y=8}} \right.

To solve this system by substitution, first isolate x in the second equation.

x+7y=8
x+7y-7y=8-7y
x=8-7y

Now, plug this expression (8-7y) for x in the top equation to solve for y.

\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}
3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}
72-63y+8y=17
72-55y=17
-55y=17-72
-55y=-55
y=1

Now that you have y, plug it into the second equation and solve for x.

x+7y=8
x+7(1)=8
x+7=8
x=1

Last step is to plug your x- and y-values in to both equations to check your work.

\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}

\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ;  \frac{1}{3} * \frac{8}{8} = \frac{8}{24}

\frac{9}{24} + \frac{8}{24} = \frac{17}{24}  <--True

1+7(1)=8
1+7=8   <--True

Answer:
x=1 \\ y=1
5 0
3 years ago
Rewrite 11/12 and 14/15 so that they have a common denominator
djyliett [7]
The least common denomonator is 60
8 0
3 years ago
Read 2 more answers
Equivalent to x^3+3x^2-x+2x^2+6x-2 after it has been simplified
natima [27]

Answer:

x³ + 5x² + 5x - 2

Step-by-step explanation:

Given

x³ + 3x² - x + 2x² + 6x - 2 ← collect like terms

= x³ + (3x² + 2x² ) + (- x + 6x ) - 2

= x³ + 5x² + 5x - 2

4 0
3 years ago
Jessica's penny bank is 1/3 full. After she adds 80 pennies, it is 1/2 full. How many pennies can Jessica's bank hold?
Ilia_Sergeevich [38]
3x = B
(x + 80 = 1/2B) * -3
-3x-240 = -3/2B

-240 = -1/2B
B=480 pennies



6 0
3 years ago
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