nd Distances in the Coordinate Plane
What is the distance between the points (4, 7) and (4,-5)?
0 units
O2 units
O4 units
12 units

Step-by-step explanation:

because the distance from O to the other 3 points is the same. each bisector provides a line of points with equal distance to the 2 end points of its base line.

where these 2 bisectors intersect, is the point that has the same distance to all end points.

The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

The measure of angles are given as,

To create a triangle with these angles, the sum should be equal to 180 degree of three angles.

90+100+30 > 180

90+90+30 > 180

90+90+100 > 180

100+100+30 > 180

30+100+30 < 180

30+90+30 < 180

There is no combination of angles, which is equal to the 180 degree.

Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

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Answer:

x = 132

Step-by-step explanation:

x = 180 - 48

x = 132

Answer:

Angle<8 corresponds with angle<3

Step-by-step explanation:

Corresponding angles are congruent and are on the same side of the transversal. They occupy corresponding positions. So,

Angle 1 and Angle 6 are corresponding angles

Angle 3 and Angle 8 are corresponding angles

Angle 2 and Angle 5 are corresponding angles

Angle 4 and Angle 7 are corresponding angles

Answer: Reflection, translation

Step-by-step explanation:

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Explanation:

The volume of the rectangular block is:

V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.

Now move onto the triangular prism.

The triangular face has a base of 5 cm and height of 4, so the area of this face is

A = base*height/2 = 5*4/2 = 20/2 = 10 square cm

Multiplying this with the depth of the prism tells us the volume is

V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm

Therefore, the prisms have the same volume.

Answer: Choice C

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Explanation:

The volume of the rectangular block is:

V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.

Now move onto the triangular prism.

The triangular face has a base of 5 cm and height of 4, so the area of this face is

A = base*height/2 = 5*4/2 = 20/2 = 10 square cm

Multiplying this with the depth of the prism tells us the volume is

V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm

Therefore, the prisms have the same volume.

Answer:

45, 135

Step-by-step explanation:

9x + 12x + 75 = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

9 x 5 = 45

12 x 5 + 75 = 135

Answer:

Total surface area=

304+9pi

~= 332.3

Step-by-step explanation:

Surface area is the areas of all the parts/sides/surfaces of the shape all added together.

There is a BOTTOM, 4 SIDES, a flat TOP, and a DOME shape.

The BOTTOM and SIDES are rectangles, so you can get the areas by multiplying length × width (or b•h)

BOTTOM: 8×10 =80

SIDES: There are 4×8 sides. 4×8 = 32. There are two of them 2×32=64.

There are 4×10 sides. 4×10 = 40. There are two of them, 2×40 = 80

For the flat TOP, it is also 8×10=80, but it has a circle cut out of it. Or, well, the circle that's under the dome doesn't count bc of the dome. So we'll take it away.

CIRCLE (under the dome):

Area of a circle is A=pi•r^2= pi•3^2

A = 9pi

So the flat TOP is:

80 - 9pi ~= 51.7

The DOME is a hemisphere (a half ball shape). Surface Area of a sphere is 4pi•r^2 We find that, then take half.

DOME =

4pi•3^2•(1/2)

= 4pi•9•(1/2)

= 18pi

~= 56.5

Now add up all the pieces:

80+64+80+80-9pi+18pi

= 304+9pi

~= 304 +28.3

= 332.3

Answer:

17.2

Step-by-step explanation:

23 ⇒ Below 5, round down

20  ⇒ Add to decimal

17. 23 ⇒ 17.2 / 17.20

Answer: Step 3 is incorrect because it shows an incorrect ratio for the slope.

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The correct question is:

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).

Step 2: Choose another point on the line, such as (1, 3).

Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .

Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.

Step 2 is incorrect because it uses a point that is not on the line.

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.

Step 2 is also correct.

Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.

Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2

Therefore the correct point-slope form is:

y – y1 = m(x – x1)

y – 3 = 2(x – 1)

Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

sure the first one for -2x-5y=16 is x is (-8,0) and y is (0,-16/5)

the second one for 2x-3y=-16 for x is (8,0) and y is (0, 16/3)

the third one for -5x+2y=11 for x is NONE and y is 8

the last one (thank god) for -3x+4y=-13 for x is (13/-3,0) and y is (0, 13/4)

Step-by-step explanation:

Answer:

Each person received 3 slices and 3 are left

Answer:

D) Each person receives 3 slices, and there are 3 slices left over

Step-by-step explanation:

If each pizza was cut into 8 slices, then there were 3*8=24 slices.

If we attempt to share 24 slices with 7 people, there would be 3 slices for each person, with 3 left over since 7*3=21, and 21+3=24.

Answer:

The two middle ones  

Step-by-step explanation:

⇒ Choose three values for [tex]x[/tex] and substitute in to find the corresponding [tex]y[/tex] values.

[tex](0,6),(1,11),(2,16)[/tex]

Answer: C.

Step-by-step explanation: In a linear function, both numbers rise or fall in a steady way. This means the answer would be c, where the x rises in increments of one, and y increases by multiplying by three each time.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{27x {}^{ - 3} {y}^{8} } [/tex]

Now, let's get the common terms out :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{3 {x}^{2} {y}^{ - 1}(9 {x}^{ - 5} {y}^{9} )} [/tex]

cancel out the common terms in numerator and denominator

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{9 x {}^{ - 5} {y}^{9} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ {x}^{5} }{9 {}^{ } {y}^{9} } [/tex]

So, the correct choice is C

Answer:

Zero

Step-by-step explanation:

Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero

Step-by-step explanation:

mean =10

sum of no =7+5+0+1+3+4+h=20+h

N=7

now

mean=sum of no/N

10=20+h/7

10×7=20+h

70-20=h

h=50

Answer:

[tex]\frac{\pi }{4}[/tex]

Step-by-step explanation:

Solving :

(2 cos(θ))² = 2

4 cos²θ = 2

cos²θ = 1/√2

cosθ = [tex]\frac{\pi }{4}[/tex]

no lo sé, pero como necesito puntos, ¿sí?

Answer :

See below ~

Explanation :

Then the recursive formula is :

Answer:

^2D its because the shed has only two faces

The statements that can be used to compare the characteristics of the functions are:

From the table of values (see attachment), we have the following highlights:

The above highlights mean that, the true statements are b and d

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Answer:Its B,D

Step-by-step explanation: Yes

Answer: [tex]\displaystyle (5.35, -5.35)[/tex]

Step-by-step explanation:

   We will use the midpoint formula. See attached or view below.

What does this formula do? We are, essentially, finding the average for the x-values and y-values.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{4.1+6.6}{2}, \frac{-6.6+-4.1}{2} )[/tex]

[tex]\displaystyle (\frac{10.7}{2}, \frac{-10.7}{2} )[/tex]

[tex]\displaystyle (5.35, -5.35)[/tex]

Answer:

I think its B

Step-by-step explanation:

The probability of picking a blue counter from the bag is 1 / 13.

The number of counters initially in the bag:

The number of counters now in the bag:

13/26

x = 13 - 5 = 8

Probability of picking a blue counter = number of blue counters / total number of counters

2/26 = 1 / 13

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Answer:

Mean: 599, Median 60

Step-by-step explanation:

0,0,0,14,16,30,60,260,300,420,1500,2592,2595

add them all up it gives you 7,787 divided by the number of numbers(13) to find the mean.

Mean: 599

Sort them from smallest to greatest and the number directly in the middle is the median.

Median: 60

Answer:

the answer is 15

Step-by-step explanation:

density= total population/surface area

density= 375/5^2

density=375/25=15

Answer:

48

Step-by-step explanation:

12*4=48