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Mnenie [13.5K]
3 years ago
7

Writing a linear equations

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

y = -4x + 5

Step-by-step explanation:

Equation of the line can be written as y = mx + b (slope-intercept form)

Where m = slope and b = y-intercept of the line.

Let's find m and b of the line

Slope (m) using the points (1, 1) and (0, 5),

Slope (m) = change in y/change in x

m = (5 - 1)/(0 - 1) = 4/-1

m = -4

Find b:

b = the point where the line cuts the y-axis = 5 (y-intercept)

To write the equation substitute m = -4 and b = 5 into y = mx + b

y = -4x + 5

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Write the equation for the line that passes through (2, -4) and is
Kryger [21]

Answer: y= x-2

Step-by-step explanation:

Perpendicularity entails the slope of line a is -1 divided by the slope of line b

m1= (-1/m2)

From y=Mx +c

We compare with x-4y=7

y=(1/4)x-7/4

Meaning m2= 1/4

m1= -1/(1/4)= -1*4= -4

((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1

x1= 2, y1= -4

((y-(-4))/(x-2))= -4

((y+4)/(x-2))= -4

Cross multiply

y+4= -4(x-2)

y= x-2

3 0
3 years ago
The angle of depression from a lighthouse to a boat in the water is 14 degrees. If the boat is 532 feet from the base of the lig
MA_775_DIABLO [31]

Answer:132.6tt

Step-by-step explanation:

6 0
3 years ago
At the start of the month, Suzanne's clothing store website had 7,278 hits. At the end of the month, it had 50,165 hits. If each
anyanavicka [17]

Answer:

  • <u><em>Option A. 64,500</em></u>

Explanation:

1. First, calculate the number of hits had during the month, by difference:

  • 50,165 hits - 7,278 hits = 42,887 hits

2. Round the result to obtain an approximation = 43,000 hits

3. Multiply by the time that each lasted:

  • 43,000 hits × 1.5 min/hit = 64,500 minutes.

Hence, the answer is the option A.

3 0
3 years ago
PLEASE HELP ANSWER THIS ASAP!!! :)
PilotLPTM [1.2K]

Answer:

C, 42 degrees

Step-by-step explanation:

Considering  angle BAD is 60 degrees, that makes angle BCD also 60 degrees. Since parallelograms have 360 degrees in total, we're still missing 240 degrees. Since angles BAD and BCD are congruent (equal), that means that angles ABC and ADC also have to be congruent. To find their angles, we do 240 divided by 2, which equals 120. Now that we know all of the angles, lets focus on angle ADC. Since angle 1 has been given to us, all we need to do is subtract 78 from 120 which turns out to be 42 degrees, which is the answer.

5 0
3 years ago
Evaluate the determinant for the following matrix: [-5 1, 1 4]
MrRissso [65]
The matrix given is \left[\begin{array}{ccc}-5&1\\1&4\end{array}\right]

To find determinant \left[\begin{array}{ccc}a&b\\c&d\end{array}\right] we do ad-bc

So, the determinant of the given matrix is
(-5)(4)-(1)(4) = -20 - 4 = -24
4 0
3 years ago
Read 2 more answers
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