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3 years ago

Identify a solution of the equation: log2x+log(x−5)=2

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

Answer:

3.x= 10

Step-by-step explanation:

log 2x + log (x - 5) = 2
log (2x(x - 5)) = 2
2x(x - 5) = 10²
2(x² - 5x) = 100
x² - 5x - 50 = 0
x² + 5x - 10x - 50 = 0
x(x + 5) - 10(x + 5) = 0
(x - 10)(x + 5) = 0
x = 10
x = -5, this root is discounted as log should be positive.

Correct choice is 3.

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Find the area of the striped sector if ∠ A = 45° and the circle has a radius of 10 inches.

Pie

A diagram must be provided along with the question above. Based on my research, here is what I got.

<span>100 pi is the area of the entire circle
That makes :
</span><span>∠ A = 45°/360 = 1/8
</span> 100pi/8 = 25 pi / 2

The answer is option D)25π over 2. I hope this answer helps.

4 0

3 years ago

Read 2 more answers

Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

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3 years ago

What is the equation for the sum of two numbers is 77. One number is 27 more than the other

Vikentia [17]

77-27= 50 so when you add both it add up to 77 ,
50 is the answer

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3 years ago

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Evaluate the function k(x)=5 for the given value of x. Simplify your answer.

coldgirl [10]

Answer:

Step-by-step explanation:

k(x)=5 says I'm 5 no matter the value of x...

So therefore

k(-4)=5

k(56)=5

k(66378)=5

k(whatever)=5

k(x) is constantly 5 for whatever input x.

4 0

2 years ago

rename 1/2 and 2/3 as fractions with denominators of 6.then add the renamed fractions. write the sum as a mixed number.

monitta

Answer:

1 and 1/6

Step-by-step explanation:

To rename a fraction you multiply both numbers by however many times the original denominator goes into the new one.

2 goes into 6 three times.

1 times 3 is 3

and 2 times 3 is 6

so 1/2=3/6

3 goes into 6 twice

2 times 2 is 4

and 2 times 3 is 6

so 2/3=4/6

to add fractions you add the numerators while keeping the denominators the same.

3+4=7 so:

3/6+4/6=7/6

6/6=1

so 7/6 contains 1 whole

once you take that out you have 1/6 left over

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3 years ago