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Jet001 [13]
2 years ago
12

Jorge needs to reflect a figure across the line y= -4 Which statements are correct regarding steps he could take to complete the

reflection? Check all that apply. Jorge should graph in the vertical line with values of –4 for the line of reflection. Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection. Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side. Jorge will not move any point that lies on the line of reflection. Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection. Jorge could check his work by making sure that the image has the same orientation as the original.
Mathematics
2 answers:
Serjik [45]2 years ago
8 0

Answer:

see below. × signifies a wrong choice; → signifies a correct one

Step-by-step explanation:

× Jorge should graph in the vertical line with values of –4 for the line of reflection. (The line of reflection is horizontal.)

→ Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.

× Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side. (He could do this pointless exercise, but it has no relation to the problem. The y-axis (x=0) is not the line of reflection.)

→ Jorge will not move any point that lies on the line of reflection. (All points on the line of reflection are reflected to themselves.)

→ Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection. (This is what is meant by "line of reflection.")

× Jorge could check his work by making sure that the image has the same orientation as the original. (A reflected image as an orientation opposite that of the original, a fact you see every time you look in a mirror.)

Georgia [21]2 years ago
6 0

Answer:

B D E

Step-by-step explanation:

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Susan is attending a talk at her son's school. There are 8 rows of 10chairs where 54 parents are sitting. Susan notices that eve
kozerog [31]

Answer:

The largest possible number of adjacent empty chairs in a single row is 3

Step-by-step explanation:

The parameters given are;

The number of chairs = 8 × 10 = 80 chairs

The number of parents = 54

Sitting arrangements of parents = Alone or to one other person

Therefore;

The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7

Hence when the rows have the maximum number of parents occupying the seats we have for the 8 rows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

But there are only 54 parents, therefore, up to the 7th row will have 7 parents while the 8th row will have only 5 parents to make the possible sitting arrangement to be as follows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 5 = 54

The sitting arrangement for the 8th row is therefore

1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0

Hence there will be three empty seats in the 8th row making the largest possible number of adjacent empty chairs in a single row = 3.

4 0
2 years ago
what is the typical distance a moped can be driven on a single tank of gas? a statistical question/ explain your reasoning
Svet_ta [14]

Answer:

Step-by-step explanation:

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8 0
2 years ago
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Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request.
Artist 52 [7]
<span>                                                            Honor roll Not on honor roll Total
Received math class requested        315               64                   379
Did not get math class requested        41               80                   121
Total                                                        356             144                   500 

Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%

Honor roll students were given preference in granting request than those not in the honor roll.</span>
5 0
2 years ago
Find the interest due to the bank on a loan of $1000 at 7.5% for 280 days
Lera25 [3.4K]

Answer:

The interest is \$57.53

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=280/365\ years\\ P=\$1.000\\r=0.075

substitute in the formula above

I=\$1.000(0.075*280/365)

I=\$57.53

7 0
2 years ago
A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modele
tresset_1 [31]

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Step-by-step explanation:

\text{The equation for ball height} : 6+30\cdot t-16\cdot t^{2}\\\text{The equation for shot blocker's height} : 9+25\cdot t-16\cdot t^{2}

But, the shot is made before two tenths of a second or 0.2 seconds therefore modified equation for ball height is :

6+30\cdot (t-0.2)-16\cdot (t-0.2)^{2}

Now for the shot to be blocked,the height of shot blocker must be greater than the height of the ball which is shot before 0.2 seconds :

\implies 9+25\cdot t-16\cdot t^{2}\geq 6+30\cdot (t-0.2)-16\cdot (t-0.2)^{2}\\\implies 9+25\cdot t-16\cdot t^{2}\geq 6+30\cdot t-6-16\cdot (t^{2}-0.4\cdot t+0.04)\\\implies9+25\cdot t-16\cdot t^{2}\geq 30\cdot t-16\cdot t^{2}+6.4\cdot t-0.64\\\implies 9+25\cdot t\geq 36.4\cdot t-0.64\\\implies 9.64\geq 11.4\cdot t\\\\\implies t\leq \frac{9.64}{11.4}\approx 0.846

Hence, the shot was blocked between 0.84 and 0.85 seconds after the shot is launched.

7 0
2 years ago
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