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2 years ago

Solve the following equation for p: 6/p=x+a

1 answer:

6 0

$\dfrac 6p = x+a\\\\\implies \dfrac 6p \times\dfrac 16 = (x+a) \times\dfrac 16 ~~~~~~;\left[\text{Multiply both sides by}~ \dfrac 16 \right]\\\\\implies \dfrac 1p = \dfrac{x+a}6\\\\\implies p= \dfrac{6}{x+a}~~~~~~~~~~~~~~~~~~~~;[\text{Cross multiply}]$

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It’s linear so you map out the first differences and then put it into y=Mx+b form. For the you gotta find the y intercept

Alika [10]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's find the slope (m) :

$\dfrac{y2 - y1}{x2 - x1}$

$\dfrac{16 - 11}{9 - 6}$

$\dfrac{5}{3}$

slope of given line is 5/3

now, let's plug the value of coordinates of a point lying on the line ( for example : (6 , 11) and slope (m) to find the y - intercept (c) :

$y = mx + c$

$11 = \bigg(\dfrac{5}{ 3} \times 6 \bigg) + c$

$11 = (5 \times 2) + c$

$11 = 10 + c$

$c = 11 - 10$

$c = 1$

value of y - intercept (c) = 1, so our equation will be :

$y = mx + c$

$y = \dfrac{5}{3}x + 1$

6 0

2 years ago

Find the Volume: 3.2 cm 7 cm 4.8 cm

REY [17]

V = 0.5*b*h*l
v = 0.5*4.8*3.2*7
v = 0.5*107.52
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3 years ago

A quadratic equation with real coefficients and leading coefficient 1, has x = -bi as a root. Write the equation in general form

andrey2020 [161]

The general form of quadratic equation with real coefficients and leading coefficient 1, has x = -bi as a root
=> x = -b + √ b^2 – 4 ac
2a

It is also written as:
=> ax^2 + bx + c = 0

Quadratic equation involves unknown numbers which is x, the numbers which a, b and c are called coeffecients.
There are also quadratic factorization where you factor the polynomial give to be able to get the value of the equation.

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Yuki888 [10]

M = 90 kg,
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3 years ago

Last week Mark ran 31 miles more than Jack. Mark ran 46 miles .How many miles did Jack run

Levart [38]

You take what Mark ran, 46 miles, and you see that Mark ran 31 more miles than Jack, so the equation would be 46-31, which would be 15 miles. So, Jack ran 15 miles.

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3 years ago

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