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Artist 52 [7]
1 year ago
7

Work out the equation of the line which has a gradient of -2 and passes through the point (4, 8).​

Mathematics
2 answers:
konstantin123 [22]1 year ago
7 0

Answer:

y = -2x + 8

Step-by-step explanation:

Formula = y = mx+c

where m = gradient of the line

and c= y intercept

in the coordinate (4,8), the point where the line intercepts the y axis is 8

this substitute:

y= mx + 8

Gradient = m = -2

Therefore, equation of line= y= -2x +8

Please mark as Brainliest and best of luck on your homework.

max2010maxim [7]1 year ago
3 0

Answer:

y = -2x + 16.

Step-by-step explanation:

We are given the slope and a point on the line, so

we use the point-slope form of a straight line:

y - y1 = m(x - x1)

Here gradient m = -2, x1 = 4 and y1 = 8 , so we have:

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16.

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If x^2+25y^2=416 and x-5y=-16 the value of xy is <br><br> a)16<br> b)8<br> c)-8<br> d)-16
pshichka [43]

Answer:

(a)

Step-by-step explanation:

Note the expansion of (x - 5y)² is

(x - 5y)² = x² - 10xy + 25y² , that is

(x - 5y)² = x² + 25y² - 10xy ← substitute given values

(- 16)² = 416 - 10xy

256 = 416 - 10xy ( subtract 416 from both sides )

- 160 = - 10xy ( divide both sides by - 10 )

xy = 16 → (a)

3 0
2 years ago
Describe the main parts of a proof
uysha [10]
Show how you got your answer in reverse.  For example... if ur question is 
4+4/(?)=4
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oh its commen sense that the answer is 2.
now show how u got the answer 2.

? is 2 because, 4 times 2 equals 8
4(2)=8
6 0
3 years ago
The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x fa
Mkey [24]

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

brainly.com/question/8495504

6 0
1 year ago
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 ​hours, while the outlet pipe can empty it
Rashid [163]

Answer:

                 time=40/3hours\approx 13.3hours

Step-by-step explanation:

The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

<u>1. Inlet rate:</u>

1vat/5hours

<u />

<u>2. Outlet rate:</u>

1vat/8hours

<u>3. Net rate:</u>

            \text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour

<u>4. Time to fill the vat</u>

           rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)

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7 0
3 years ago
If you answered 17 out of 25 questions correct on a quiz, what would your grade be as a percent?​
k0ka [10]

Answer:

68%

Explanation:

17/25 = 0.68

5 0
3 years ago
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