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Brut [27]
3 years ago
7

Answer this for me plz.?

Mathematics
1 answer:
Elis [28]3 years ago
7 0

Step-by-step explanation:

Length = x-3

width = x+8

Area of the rectangle = 60 inch²

(x-3)(x+8)=60

x²+8x-3x-24=60

x²+5x-24=60

x²+5x-84=0

x²+12x-7x-84=0

x(x+12) - 7(x+ 12) =0

(x+12)(x-7)= 0

x= -12 or, x= 7

Measure of sides of rectangle can never be negative.

Answers:

Therefore,

x=7

Dimensions

length =7-3

=4 inches

width = 7+8

=15 inches

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grin007 [14]

Hi there! We are given the expression:

\large \boxed{5 log_{4}(a)  - 6 log_{4}(b) }

To condense or simplify the following logarithm. You have to remember these properties:

Properties - Logarithm

\large{ log_{b}(a)^{n}  = n log_{b}(a) } \\  \large{ log_{b}(a)  -  log_{b}(c)  =  log_{b}( \frac{a}{c} ) }

These two properties are what we need for our problem. Therefore,

\large{ log_{4}(a)^{5}  -  log_{4}(b)^{6} }

We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.

\large{ log_{4}( \frac{ {a}^{5} }{ {b}^{6} } ) }

Answer

  • log base 4 of (a^5/b^6) is our simplifed form.

Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)

6 0
3 years ago
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solong [7]

Answers:

1. x\geq \frac{y+4}{3}

2. x \neq\frac {y} {2}

3. x<y-5

4. x>2(y+3)

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8 0
4 years ago
Read 2 more answers
Please help me with this
erma4kov [3.2K]

Answer:

3/8

Step-by-step explanation:

Find the height of the trapezoids

20 - 10 = 10

10/2 = 5

Find the area of the trapezoids

5*(20+10)/2 = 75

The formula for the area of the trapezoid is the height * the bases added together divided by 2

75*2(this is because there are 2 trapezoids) = 150

Put this to proportion of the total area of the dart board

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3/8 is the probability that you score 3 points

5 0
3 years ago
Help and I will follow
inn [45]

Answer:

32

Step-by-step explanation:

Our total is x.

Maysa took half of the cherries, so there is .5x left.

Nabilla took half of the remaining, so that is .5*0.5x, which is .25x

Abdulla took 3.

Your equation is:

.25x-3=5

.25x=8

x=32

So there are 32 cherries

7 0
3 years ago
Which angle’s measure is equal to the sum of the measures of ∠BAC and ∠BCA?
hjlf

Answer: <CBE

Step-by-step explanation:

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