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NemiM [27]
3 years ago
13

Write in slope intercept form of the equation of a line passing through (-1,4) and perpendicular to y=x-5.

Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

Answer:

y=-x+3

Step-by-step explanation:

The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.

In order to find the perpendicular slope, we should take the current slope's <u>negative reciprocal</u>. We have:

-\frac{1}{1} =\\-1

Therefore, our perpendicular slope is -1. We now have equation:

y=-x+b

We can plug in the known values of the point (-1,4) to solve for b.

4=(-1)*(-1)+b\\4=1+b\\b=3

If we now put what we found together, we have equation

y=-x+3

<em>I hope this helps! Let me know if you have any further questions :)</em>

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A spring has natural length 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done i
sashaice [31]

Answer:

W1 = W2 = 50k Joules (assuming W1 and W2 have the same force constant, k)

W1 - W2 = 0

Step-by-step explanation:

Work done in stretching a spring is given by 1/2ke^2

Where, k is force constant and e is extension

e1 = 30cm - 20cm = 10cm

W1 = 1/2k(e1)^2 = 1/2×k×10^2 = 50k Joules

e2 = 40cm - 30cm = 10cm

W2 = 1/2k(e2)^2 = 1/2×k×10^2 = 50k Joules

W1 = W2 = 50k Joules provided W1 and W2 have equal force constant

Therefore, W1 - W2 = 0

7 0
3 years ago
The width of the rectangle below is 9 cm, and its length is 17
Orlov [11]

Answer:

Area=153 cm²

Step-by-step explanation:

Length × Width= Area

17×9=153

4 0
3 years ago
Read 2 more answers
A multiplier of 1.641 corresponds to a percentage increase or decrease of what percent?
bezimeni [28]

Answer:

A multiplier of 1.641 corresponds to a percentage increase or decrease of 64.1%.

Step-by-step explanation:

To determine a percentage increase or decrease of a certain number, a calculation consisting of the multiplication of said number by 1 plus the decimals corresponding to the percentage to be increased must be performed. Thus, for example, if you want to increase a number by 50%, you must multiply that number by 1.50. Therefore, if you multiply a number by 1,641, this implies that you are wanting to increase or decrease the initial number by 64.1%.

6 0
3 years ago
The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some a
Artyom0805 [142]

Answer: B

Step-by-step explanation:

y = azaleas

x = lilies

6y + 5x =196 total cost

y + x = 36 total number of items

y = 36 – x

6(36 -x ) +5x =196

216 – 6x + 5x = 196

-x = 196 – 216

-x = -20

Divide by -1

X = 20 lilies

Plug into y equation

Y = 36 – 20

Y= 16 azaleas

To check

6(16) + 5(20) = 196

96 + 100 = 196

3 0
3 years ago
Read 2 more answers
Please help me with this!!
zubka84 [21]

Step-by-step explanation:

84+36=120ans..........

3 0
3 years ago
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