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melisa1 [442]
2 years ago
14

Pls help i thought i understood it but it was incorrect the first time

Mathematics
1 answer:
Elina [12.6K]2 years ago
3 0
<h3>Answer: Choice D</h3>

Subtraction property of equality

====================================================

Reason:

We subtract 18 from both sides to go from 4x+18 = 78 to 4x = 60

So we use the aptly named subtraction property of equality.

In general that rule is if a = b, then a-c = b-c

You might be interested in
Solving a right triangle (round to the nearest tenth)
Inga [223]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 46)° = 180° - 136° = 44°

----------------------------------------------------------------

tan46° = \frac{opposite}{adjacent} = \frac{b}{23}

Multiply both sides by 23

23 × tan46° = b, thus

b ≈ 23.8 ( to the nearest tenth )

-----------------------------------------------------------------

cos46° = \frac{adjacent}{hypotenuse} = \frac{23}{c}

Multiply both sides by c

c × cos46° = 23 ( divide both sides by cos46° )

c = \frac{23}{cos46} ≈ 33.1 ( to the nearest tenth )

5 0
3 years ago
PLEASE PLEASE PLEASE HELP!!
irga5000 [103]
  9            a
------  =  -----
  a            5

a^2 = 45 

a = 3<span>√5
</span>
  4            b
------  =  -----
  b            5

b^2 = 20

b = 2√5

answer: 

a = 3√5
b = 2√5

hope it helps
7 0
3 years ago
Given the system of inequalities below: -3x - y &lt; 12 2x + 3y ≥ 9 Give the coordinates of three points that are members of the
earnstyle [38]

Answer:

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Step-by-step explanation:

we have

-3x-y< 12 ----> inequality A

The solution of the inequality A is the shaded area above the dashed line

2x+3y\geq 9 ----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that,

If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution

Plot the points

(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)

therefore

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

3 0
4 years ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
While driving in the United States, Franklin sees that the height of a tunnel is marked as 10’6”. He knows his truck is 3.3m tal
Sonja [21]
To my knowledge (im not the smartest person lol) I would say no he cannot

7 0
3 years ago
Read 2 more answers
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