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allochka39001 [22]
2 years ago
14

Combine like terms 6y-2y+8y

Mathematics
2 answers:
Oxana [17]2 years ago
8 0

Answer:

Concept: Combining terms

  1. We establish y as the common term
  2. Hence combined the result is: 12y
masya89 [10]2 years ago
5 0

Answer:

12y

Step-by-step explanation:

6y-2y=4y

4y+8y=12y

pick me as brainliest

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Use the distance formula, show that the points (4,0), (2,1), and (-1,-5) form the vertices of a right triangle
mario62 [17]

Step-by-step explanation:

The distance formula between two points:

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

Substitute the coordinates of the points.

A(4,\ 0),\ B(2,\ 1),\ C(-1,\ -5)\\\\AB=\sqrt{(2-4)^2+(1-0)^2}=\sqrt{(-2)^2+1^2}=\sqrt{4+1}=\sqrt5\\\\AC=\sqrt{(-1-4)^2+(-5-0)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}=\sqrt{50}\\\\BC=\sqrt{(-1-2)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}=\sqrt{9+36}=\sqrt{45}

If a ≤ b < c are the sides of the right triangle, then

a² + b² = c²

\sqrt5

used (\sqrt{a})^2=a for a ≥ 0.

AB^2+BC^2=AC^2 therefore ΔABC is a right triangle.

6 0
3 years ago
A motorboat maintained a constant speed of 15 miles per hour related to water going 44 miles upstream then returning the total t
yanalaym [24]

The speed of the current is 13 mph

<h3>What is speed?</h3>

speed refers to distance travelled per unit time. This is a vector quantity this implies that it has magnitude and direction.

The unit for speed as used here is miles per hour and can be written in short form as mph

<u>Given data</u>

speed of boat = 15 miles per hour = 15 mph

distance = 44 miles upstream

total time for the trip = 7.5 hours

<h3>solving for the speed of the current</h3>

let the water current be x

speed = distance / time

the total travel time upstream and downstream is known

for upstream

15 - x = 44 / time

time = 44 / 15 - x

for downstream

15 + x = 44 / time

time = 44 / 15 + x

total time = time for upstream + time for downstream = 7.5

7.5 = (44 / 15 - x ) + ( 44 / 15 + x )

7.5 = ( 44 ( 15 + x ) + 44 ( 15 - x ) ) / ( 15 + x  )( 15 - x )

7.5 ( 15 + x  )( 15 - x ) = 210 +44x + 210 - 44x

7.5 ( 225 - x ^ 2 ) = 420

( 225 - x ^ 2 ) = 56

169 = x ^ 2

x = sqrt ( 169 )

x = 13 miles per hour

hence speed of current is 13 miles per hour

Read more on speed here: brainly.com/question/4931057

#SPJ1

3 0
1 year ago
Use the quadratic formula to solve the equation.–x2 + 5x = 3
Karo-lina-s [1.5K]

Given the equation - x² + 5x = 3, which can be rewritten as:

- x² + 5x - 3 = 0

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Quadratic formula:

\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}

Now, we just replace the values of a, b and c on the equation above.

\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}

=

\frac{5}{2}\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}

4 0
1 year ago
Give two points with integer coordinates that have a slope of 5/7 between them.
mel-nik [20]

Answer:

(2,3) and (7,10)

Step-by-step explanation:

Use the slope 5/7 to get to a new point by moving up 5 units and moving to the right 7 units.

4 0
3 years ago
What is the value of x?
AysviL [449]

Answer:

x=5

Step-by-step explanation:

Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5

4 0
3 years ago
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