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Lina20 [59]
3 years ago
15

Parallel to y=-1/4x+3 and through(4,3)

Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

-1/4*x+4

Step-by-step explanation:

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What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?
ololo11 [35]
Point slope form: 
y-y_1=m(x-x_1)

m=slope 
(x1,y1) 

First we need to find the slope using the slope formula:
\frac{y_2-y_1}{x_2-x_1} =slope

Given the two coordinates: 
<span>(1, 9) and (−1, 11)

Plug them into the slope formula: 
</span>\frac{11-9=2}{-1-1=-2} =slope
Simplify: 
\frac{2}{-2} =-1
<span>
Now we know that: 
m=-1  and the (x1,y1) would be </span><span>(1, 9)
</span>
Now we simply plug in the info: 
y-9=-(x-1)

Final answer: y − 9 = −(x − 1)
7 0
3 years ago
What is the length of the base b?
musickatia [10]

Answer:

5 units

Step-by-step explanation:

The graph helps you measure it

6 0
3 years ago
What are the real and imaginary parts of z ?<br><br> z = 32 + 41.9i
goblinko [34]

Answer:

The real part is 32, while the imaginary part is 41.9

Step-by-step explanation:

z is a complex number. A complex number is made up of real and imaginary parts.

The real part is the number that stands alone, while the imaginary part is the number that is directly beside the i.

i is actually equal to \sqrt{-1}. There is no solution for that.

Therefore, for the given expression, the real part is 32, while the imaginary part is 41.9.

Note: the imaginary part does not contain i.

5 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bars(s).
kirza4 [7]

Answer:

(a)23 (b)90 (c)3

Step-by-step explanation:

The equation for the line of best fit for this situation is given as

y=\frac{3}{10}x+8

where x=average temperature in degrees

y=average number of hot dogs she sold,

(a) The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.

When x=50°

y=\frac{3}{10}X50+8=15+8=23

When the temperature is 50°, the expected number of hot dogs sold would be 23.

(b)If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.  

If y=35

35=\frac{3}{10}x+8\\35-8=\frac{3}{10}x\\27=\frac{3}{10}x

Multiply both sides by 10/3

27 X \frac{10}{3}= \frac{3}{10}x X \frac{10}{3}\\x=90^{0}

If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.  

(c) Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

3 0
3 years ago
Describe and correct the error below.
statuscvo [17]

Step-by-step explanation:

It is given that,

-2.2 × 3.7 = 8.14

The first number is -2.2

The second number is 3.7

We know that, (-) × (+) = - (the answer is a negative)

If we multiply -2.2 and 3.7, we will get -8.14.

But in the given case, the answer is 8.18 instead of -8.14. Hence, this is the only error.

8 0
3 years ago
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