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Georgia [21]
3 years ago
11

Expand logarithm log(7•11)

Mathematics
2 answers:
liberstina [14]3 years ago
6 0
Similarly (I answered your other similar question just now), for this, use the formula of log (x base) ( a × b ) = log (x base) (a) + log (x base) (b), where x may be any number or even variable.

lg ( 7 × 11 ) = lg 7 + lg 11
alexandr1967 [171]3 years ago
5 0
Log7+log11=log(7•11)
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Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
jasenka [17]
I believe your answer is: (x-2)^2 = 16(y-2)
4 0
3 years ago
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Which equation matches the graph shown?
amid [387]

Answer:

d

Step-by-step explanation:

hello

f(0)= -5 so we should have y+5 on left side

because of the shape we can understand a = bigger than 0 so a=0.5

6 0
3 years ago
For the proportional relationship y = -5x, what is the ratio of vertical change to horizontal change? Will the graph of the line
NeTakaya
The given proportional relationship is y = -5x.
Therefore the ratio
y/x = -5 = -5/1

If x changes by 1, then y/x = y/1 = -5.
This means that y changes by -5 when x changes by 1.
The ratio of vertical change is -5:1

The standard equation for a straight line is
y = m*x + c
where
m = the slope,
c = the y-intercept.

Therefore the given relationship is a straight line with a negative slope of -5. This means that y decreases as x increases.

Answer: C
-5:1
The graph decreases from left to right.
6 0
4 years ago
4. Find the center and radius of the circle given by this equation: x2 – 8x + y2 + 4y - 16 = 0
scoray [572]

Answer:

Center ( 4 , -2) and r = 6

Step-by-step explanation:

x² - 8x + y² + 4y - 16 = 0

x² - 8x  + y² + 4 y = 16

x²- 2*4x + y² + 2 *2y = 16

(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16

(x - 4)² + (y + 2)² = 16 + 16 + 4

(x - 4)² + (y -[-2])² = 36

(x- 4)² + ( y - [-2] )² = 6²

Compare with (x - h)²+ (y - k)² = r²

Center ( 4 , -2) and r = 6

7 0
3 years ago
Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
Natali5045456 [20]

The possible length of segment AB is 27 < AB < 81

From the question, we have

In triangle ABC

AC = 27

CB = 54

Using Pythagoras theorem,

AC² = AB² + CB²

54² = AB² + 27²

AB = 47

The possible length of segment AB is 27 < AB < 81

Multiplication:

To determine the sum of two or more numbers, mathematicians multiply the numbers. It is a basic mathematical procedure that is widely used in daily life. Multiplication is used when we need to mix groups of like sizes. Multiplication is a representation of the underlying idea of adding the same number repeatedly. The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.

To learn more about multiplication visit: brainly.com/question/5992872

#SPJ1

3 0
1 year ago
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