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3 years ago

I need help with this!!

Mathematics

2 answers:

leonid [27]3 years ago

6 0

Answer:

c = 12.5

Step-by-step explanation:

Pythagorean Theorem:

$c^2 = 10^2 + (7.5)^2$

c = 12.5

Leviafan [203]3 years ago

4 0

Answer:

c = 12.5

Step-by-step explanation:

a² + b² = c²

10 and 7.5 are bases of the triangle, that means they stand for a and b

the equation would be

10² + 7.5² = c²

square the numbers

100 + 56.25 = c²

156.25 = c²

√156.25 = √c²

12.5 = c

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Name 3 of the 4 features listed below for the function g (x) = log2 (x + 4) - 1 and include a description of how you found those

givi [52]

(1) Vertical asymptote: $x=-4$

(2) Domain: $x>-4$

(3) X intercept: $(-2,0)$ and Y intercept : $(0,1)$

(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.

Explanation:

The parent function is $f(x)=\log _{2} x$

The transformed function is $g(x)=\log _{2}(x+4)-1$

(1) Vertical asymptote:

The vertical asymptote of a function can be determined by equating

$x+4=0$

Thus, $x=-4$

The vertical asymptote is $x=-4$

(2) Domain:

The domain of a function is the set of all independent x-values.

$x+4>0$

Thus, $x>-4$

The domain of a function is $x>-4$

(3) X and Y intercepts:

To determine the x intercept, let us substitute y=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}\log _{2}(x+4)-1 &=0 \\\log _{2}(x+4) &=1 \\x+4 &=2^{1} \\x &=-2\end{aligned}$

Thus, the x intercept is $(-2,0)$

To determine the y intercept, let us substitute x=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}y &=\log _{2}(0+4)-1 \\&=\log _{2} 4-1 \\&=2-1 \\&=1\end{aligned}$

Thus, the y intercept is $(0,1)$

(4) To determine the transformation:

The transformed function $g(x)=\log _{2}(x+4)-1$ is shifted 4 units to the left and shifted 1 unit downwards.

4 0

3 years ago

How do you describe the principal square root of the 34? *

malfutka [58]

Answer:

B. The square root of 34 is an irrational number.

Step-by-step explanation:

The square root of 34 is a rational number if 34 is a perfect square.

Since 34 is not a perfect square, it is an irrational number.

5 0

3 years ago

Can anyone help me plz?

RUDIKE [14]

Answer:

The answer is 37

Step-by-step explanation:

8x8=64

9x3=27

64-27=37

8 0

3 years ago

Ages of sylvans daughters are consecutive even integers. The sum of their ages is 60. Write an equation representing and find ag

notka56 [123]

Consecutive even integers are 2 apart
they are
x,x+2,x+4
total sum is 60
x+x+2+x+4=60
3x+6=60
minus 6 both sides
3x=54
divide both sides by 3
x=18
x+2=20
x+4=22

the ages are
18,20,22

3 0

3 years ago

815 dived by 15 in quotiens

Dmitriy789 [7]

Your answer will be a repeating decimal or fraction

54.333

54 1/3

4 0

3 years ago