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2 years ago

13

The graph of y=f(x)y=f(x) is the solid black graph below. Which function represents the dotted graph?

1 answer:

OlgaM077 [116]2 years ago

8 0

the formula for a horizontal shift is (x-a) and this graph has moved 2 units to the left, -2, so the formula becomes (x+2)

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I need help please. How do I find the value of x?

Zina [86]

X = 58

The angle directly across from the 32 is also 32 degrees because it uses the same lines at the same angles. That's the Vertical Angles Theorem. The line straight across means that is 180 degrees, which is already split in half by the visible 90 degree angle (given by the box in the corner). Since all the angles are on the same side of the line, the 180 degree angle, they should add up to equal 180 degrees. Also, since 90 is half of 180, the 32 degree angle and the x angle should just add up to equal 90 degrees. So, 90 minus 32 equals 58.

7 0

3 years ago

-2|3-2r|<-34 how do you solve this?

Alexxandr [17]

$|a| -b\\\\|a|>b\iff a>b\ or\ a$

$-2|3-2r|34\qquad\text{divide both sides by 2}\\\\|3-2r|>17\iff3-2r>17\ or\ 3-2r14\ or\ -2r$

4 0

3 years ago

In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH

Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

$\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}$

Substituting the given expression for each segment in the first equation, we get:

$3x+6=2(2x-2).$

Solving the above equation for x, we get:

$\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}$

Substituting x=10 in the equation for segment EI, we get:

$EI=2*10-2=20-2=18.$

Therefore:

$GI=18.$

Now, to determine the measure of angle IEH, we notice that:

$\Delta HFG\cong\Delta GEH,$

therefore,

$\measuredangle GHF\cong\measuredangle HGE.$

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

$m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.$

<h2>Answer: </h2> $\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\ \end{gathered}$

4 0

1 year ago

What fraction is equal to 4/6

Rama09 [41]

4/6
= (4/2) / (6/2) (divide both numerator and denominator by 2)
= 2/3

The final answer is 2/3~

6 0

3 years ago

if 4 times a number is increased by 6, the result is less than 15 than the square of the number. find the number

iren [92.7K]

Answer:

n = 7

n = -3

Step-by-step explanation:

4n+6 = n²-15

4n = n² - 21

n² - 4n - 21 = 0

(n-7)(n+3) = 0

n = 7

n = -3

7 0

2 years ago