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mestny [16]
3 years ago
6

What is the length of EF in the right triangle below? 18 12

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

Answer:

It is 30 because it is the only one that makes sense if you do the math

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Solve the equation. Round to the nearest hundredth. Show work.
denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is 5^{-2x-1}=4^{4x+3}.

Now we need to solve equation 5^{-2x-1}=4^{4x+3} and round to the nearest hundredth.

5^{-2x-1}=4^{4x+3}

\log(5^{-2x-1})=\log(4^{4x+3})

(-2x-1)\log(5)=(4x+3)\log(4)

-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)

-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)

x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}

Now use calculator to calculate log values, we get:

x=-0.65817959094

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0
4 years ago
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
Anastasy [175]

Answer:

Equation of line is:

y=3x-\dfrac{13}{2}

Step-by-step explanation:

Let equation of line be y=mx+c

where m is the slope of line and c is the y-intercept

Line passes through (2, -1/2) and has a slope of 3

i.e. (x,y)=(2, -1/2) and m=3

i.e.

-\dfrac{1}{2}=3\times 2+c\\ \\c= -\dfrac{1}{2}-6\\ \\c= -\dfrac{13}{2}

So, equation of line is:

y=3x-\dfrac{13}{2}

8 0
3 years ago
Read 2 more answers
The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m,
choli [55]

Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

7 0
3 years ago
What are the coordinates of the x- intercept for the graph shown below?
3241004551 [841]
C the horizontal line represents x and it goes to -1 you place your coordinates as (x,y)
6 0
3 years ago
-5=s-3<br><br> Please show work so I understand.
Liula [17]
Since you are solving for S, you need to single it out. Do this by adding 3 to both sides which eliminates the -3 and adds 3 to -5 giving you -2. Now S = -2 
7 0
3 years ago
Read 2 more answers
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