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Mashcka [7]
4 years ago
12

What is 22=4x+2 do it algebraically

Mathematics
1 answer:
MAVERICK [17]4 years ago
4 0

Answer:

5

Step-by-step explanation:

22=4x+2

-2 -2

20/4 = 4x/4

5 = x

x =5

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4. A map of an amusement park is shown on a coordinate plane, where each square
Zielflug [23.3K]

Using cartesian coordinates concepts such as midpoint and distance between two points, it is found that:

  • The location point of the Ferris wheel is (15,24).
  • They need to walk 20 units.
  • The coordinates of the hotdog stand are (23,8).

  • Water ride is at point (3,8).
  • Roller coaster is at point (27,40).
  • The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the <u>mean of their coordinates.</u>

x = \frac{3 + 27}{2} = 15

y = \frac{8 + 40}{2} = 24

The location point of the Ferris wheel is (15,24).

The distance between two points, (x_1,y_1) and (x_2,y_2) is given by:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:

D = \sqrt{(15 - 3)^2 + (24 - 8)^2} = 20

They need to walk 20 units.

  • Hotdog stand is directly east of the water ride, thus, it has the <u>same y-coordinate, while the x-coordinate is increased</u>.
  • The distance is of 20 units, thus:

(3 + 20, 8) = (23,8)

The coordinates of the hotdog stand are (23,8).

A similar problem is given at brainly.com/question/24352869

6 0
3 years ago
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The
Kobotan [32]

Answer:

One-fifth

Step-by-step explanation:

step 1

Find the distance between the origin and the point B

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B(10, –15)

substitute

d=\sqrt{(-15-0)^{2}+(10-0)^{2}}

d=\sqrt{325}\ units

step 2

Find the distance between the origin and the point B'

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B'(2,-3)

substitute

d=\sqrt{(-3-0)^{2}+(2-0)^{2}}

d=\sqrt{13}\ units

step 3

Find the scale factor of the dilation

The scale factor is equal to divide the length of segment OB' by the length of segment OB

so

\frac{\sqrt{13}}{\sqrt{325}}=\frac{1}{5}

so

One-fifth

4 0
3 years ago
Read 2 more answers
What is the answer to this please ??
Assoli18 [71]
The answer is B rhombus
6 0
3 years ago
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Subtract (4+2i) from (6-8i). Enter your answer as a complex number in the<br> form a+bi.
sergiy2304 [10]
(6-8i)
(4+2i) side note : -8i - 2i becomes 8i+2i 2+10i because the negatives cancel out
^^^answer
3 0
3 years ago
What is the relationship between the 3's in the number 9,338?
Serhud [2]
The 3 in the hundreds place (value of 300) has a value that is 10x the 3 in the tens (value of 30).
4 0
3 years ago
Read 2 more answers
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