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AleksAgata [21]
3 years ago
5

If you change the sign of a point's x-coordinate, how does the location of the point change? CLEAR CHECK The point moves down an

d to the left. The point crosses over the x-axis. The point crosses over the y-axis. Not enough information is provided.
Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

Answer:

The point crosses over the y-axis

Step-by-step explanation:

Given

A change in the sign of x coordinate

Required

The effect on the point location

Assume the coordinate to be (x,y).

The above point is located in the first quadrant,

When the x value changes to negative i.e. (-x,y)

The point moves from the first quadrant to the second quadrant

This implies that, the point crosses over the y-axis.

Similarly, assume the coordinate to be (-x,-y).

The above point is located in the third quadrant,

When the x value changes i.e. (x,-y)

The point moves from the first quadrant to the fourth quadrant

This implies that, the point crosses over the y-axis.

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PLEASE PLEASE HELP! Find the measure of APB^.
Whitepunk [10]

Answer:

65°

Step-by-step explanation:

Radii CA and CB are perpendicular to tangent lines AT and BT, so

\angle CAT=\angle CBT=90^{\circ}

Since angle BAT is equal to 65°, angle CAB has measure

\angle CAB=90^{\circ}-65^{\circ}=25^{\circ}.

Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

\angle CBA=\angle CAB=25^{\circ}

The sum of the measures of all interior angles in triangle is always 180°, so

\angle CAB+\angle CBA+\angle ACB=180^{\circ}\\ \\25^{\circ}+25^{\circ}+\angle ACB=180^{\circ}\\ \\\angle ACB=130^{\circ}

Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so

x=\angle APB=\dfrac{1}{2}\cdot 130^{\circ}=65^{\circ}

8 0
3 years ago
A horseback riding trail is 1 mi 40.8 ft long. How long is the trail in yards, feet, and inches?
ch4aika [34]

Answer:  1773.6 yards   5320.8 feet  64324.8 inches

Step-by-step explanation:  

1 mile in yards = 1760                                                                                         40.8 feet in yards = 13.6      1760 + 13.6 =<u> 1773.6 yards </u>

1 mile in feet = 5280 + 40.8 = <u> 5320.8 feet </u>

1 mile in inches  = 63360

40.8 feet in inches = 964.8

63360 + 964.8 = <u>64324.8 inches </u>

<u>hope this helps :) </u>



6 0
3 years ago
A national study, that revealed a normal distribution, revealed that the average time a student spends studying statistics on a
Neporo4naja [7]

Answer:

Null hypothesis = H0 : μ = 60

Alternative hypothesis = H1 : μ < 60

Step-by-step explanation:

From the question given :

μ = 60 minutes

xbar = 44.27 minutes

s = 20.4 minutes

The alternative hypothesis is the claim ; which is to hypothesize that the average studying time is 44.27 (which is less than the population average studying time)

The null hypothesis is the initial truth and it is the opposite of the alternative hypothesis.

The hypothesis are :

H0 : μ = 60

H1 : μ < 60

5 0
3 years ago
Vernon tossed a coin 20 times. The results were 8 head s and 12 tails. What is the experimental probability of tossing heads?
solmaris [256]

Answer:

2/5

Step-by-step explanation:

The experimental probability is

P (heads) = number of heads/ total tosses

                = 8/20

                 = 2/5

8 0
3 years ago
In a class of 35 students, 14 are male. what percent of the class is male?
mars1129 [50]
Total number of students = 35

Number of male students = 14

% of students that are male = \frac{14}{35} * 100 =  \frac{14}{7} * 20 = 2 * 20 = 40 %
8 0
4 years ago
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