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3 years ago

What is z 15 = -45+ z

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Answer:

60 = z

Step-by-step explanation:

15 = - 45 + z

15 + 45 = z

60 = z

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<img src="https://tex.z-dn.net/?f=3y%20-%205x%20%3D%2010" id="TexFormula1" title="3y - 5x = 10" alt="3y - 5x = 10" align="absmid

kompoz [17]

Answer:

$\dfrac{5}{3}$

Step-by-step explanation:

To find the gradient (slope) of the given linear relation, use arithmetic operations to isolate y:

Given relation:

$3y-5x=10$

Add 5x to both sides:

$\implies 3y-5x+5x=10+5x$

$\implies 3y=5x+10$

Divide both sides by 3:

$\implies \dfrac{3y}{3}=\dfrac{5}{3}x+\dfrac{10}{3}$

$\implies y=\dfrac{5}{3}x+\dfrac{10}{3}$

Slope-intercept form of a linear equation

$y = mx+b$

where:

m is the slope (gradient)
b is the y-intercept

Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.

Learn more about linear equations here:

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7 0

1 year ago

Read 2 more answers

Linear Relationships Study Guide 1.) Select all the equations for which (-6, -1) is a solution. Show your work to prove that eac

TiliK225 [7]

we have point (-6, - 1)

Now we will put these points in each equation,

y = 4x +23

put x = -6 and y = -1

-1 = 4 (-6) +23

-1 = -24 + 23

-1 = -1

LHS = RHS, so this equation has (-6 , -1) as solution.

y = 6x

put x = -6 and y = -1

-1 = 6 (-6)

-1 not= -36

LHS is not equal RHS, so (-6 , -1) is not a solution for that equation,

y = 3x - 5

put x = -6 and y = -1

-1 = 3 (-6) - 5

-1 = -18 - 5

-1 not= -23

LHS is not equal RHS, so (-6 , -1) is not a solution for that equation,

y= 1/6 x

put x = -6 and y = -1

-1 = -6/6

-1 = -1

LHS = RHS, so (-6 , -1) is a solution for that equation,

6 0

1 year ago

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The

ExtremeBDS [4]

Answer:

800 kph
600 kph

Step-by-step explanation:

Equation

Let s represent the speed of the faster plane. Then its travel time is ...

time = distance/speed = 3600/s

travel time for the slower plane is ...

time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

3600/(s -200) -3600/s = 1.5

Solution

Multiplying by (2/3)s(s -200), we get ...

2400(s) -2400(s -200) = s(s -200)

s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

(s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

Conclusion

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

Check

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0

2 years ago

Recent statistics have reported that the total area of Brazil is about 3 × 106 square miles, while the total area of Japan is ab

kenny6666 [7]

3time106=318. 2 times 105=210
318-210=108square miles

7 0

3 years ago

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Which descriptions from the list below accurately describe the relationship

slava [35]

Congruent and similar because they have the same measurements.

3 0

2 years ago

Read 2 more answers