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2 years ago

What is the image of point (2, 8) for mapping (x, y) , (x – 8, y + 1)

Mathematics

1 answer:

grigory [225]2 years ago

8 0

(2; 8) → (2 - 8; 8 + 1) → (-6; 9)

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I need to solve for x and y. Any help is greatly appreciated! Thank you!

Inessa05 [86]

x=-3, y=1

Step-by-step explanation:

Given equations are:

2x-3y=-9 Eqn 1

x+y = - 2 Eqn 2

From eqn 2:

$x=-y-2$

Putting x=-y-2 in eqn 1

$2(-y-2)-3y=-9\\-2y+4-3y=-9\\-5y-4=-9\\Adding\ 4\ on\ both\ sides\\-5y-4+4=-9+4\\-5y=-5\\Dividing\ both\ sides\ by\ -5\frac{-5y}{-5}=\frac{-5}{-5}\\y=1\\Putting\ y=1\ in\ eqn\ 2\\x+1=-2\\Subtracting\ 1\ from\ both\ sides\\x+1-1=-2-1\\x=-3$

Hence,

x=-3, y=1

Keywords: Linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

What is the concentration of H+ ions at a pH = 2?

cestrela7 [59]

Answer:

0.01

0.000001

10,000

Step-by-step explanation:

i got it on edge

5 0

1 year ago

Apply Gaussian quadrature with n = 4 to approximate integrate sin x^2dx from 1 to 5

maks197457 [2]

First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].

$x=2t+3\iff t=\dfrac x2-\dfrac32\implies2\mathrm dt=\mathrm dx$
$x=1\implies t=\dfrac{2-6}4=-1$
$x=5\implies t=\dfrac{10-6}4=1$

So,

$\displaystyle\int_{x=1}^{x=5}\sin x^2\,\mathrm dx=\displaystyle2\int_{t=-1}^{t=1}\sin(2t+3)^2\,\mathrm dt$

Let $f(t)=2\sin(2t+3)^2$ . With $n=4$ , we're looking for coefficients $c_i$ and nodes $x_i$ , with $1\le i\le4$ , such that

$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx c_1f(x_1)+\cdots+c_4f(x_4)$

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).

Using the quadrature, we then have

$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.3749f(-0.8611)+0.6521f(-0.3400)+0.6521f(0.3400)+0.3749f-0.8611)$
$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.5790$

4 0

2 years ago

Find the Least Common Multiple of 9 and 20.

Dmitriy789 [7]

180, because 9 and 20 don’t have any common multiple (both numbers couldn’t be simplified)

8 0

3 years ago

PLEASE I REALLY NEED HELP What differences are there on the graph of f(x)=2x to the graph of h(x)=2x-3?

Mila [183]

Answer:

The graph if h(x) =2x-3 will have the same slope, but placed lower on the graph, because it's y intercept is -3, while the y-int of f(x) is 0, which is higher up on the y axis

5 0

2 years ago