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3 years ago

Vector d is shown on a centimetre grid. Image attached.

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

A column vector has the form $\left[\begin{array}{ccc}x\\y\\\end{array}\right]$

Following the direction of the arrow , the x- displacement = - 3 and y- displacement = 2 , then column vector is

$\left[\begin{array}{ccc}-3\\2\\\end{array}\right]$

h + k

= $\left[\begin{array}{ccc}4\\-3\\\end{array}\right]$ + $\left[\begin{array}{ccc}-2\\-1\\\end{array}\right]$ ← add corresponding elements from each vector

= $\left[\begin{array}{ccc}4-2\\-3-1\\\end{array}\right]$

= $\left[\begin{array}{ccc}2\\-4\\\end{array}\right]$

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scoray [572]

I can answer 1 to 4...
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3 years ago

one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola

omeli [17]

Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

$x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1$ .

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

$x_1 + x_2 = \frac{-b}{a}$

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

$x_1 \cdot x_2 = \frac{c}{a}$

These relations between the solutions give us a brief idea of what the solutions should be like.

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4 years ago

PLEASE HELP!! Write the equation of the graph.

Jet001 [13]

When you first look at thius graph, you should notice two things immedietly.

1. This graph will have a positive slope, because the line is going up.

2. the y-intercept is -2 because that's where it is on the y-axis.

Now, you have been given two points, (2, 1) and (0, -2). You can put these two points into the slope formula, which is: m = $\frac{y2 - y1}{x2 - x1}$ $\frac{(-2) - 1}{0 - 2}$ = $\frac{3}{2}$ = 3/2.

So, now you have your slope and your y-intercept. Now, just put them into y = mx + b form!

y = 3/2x - 2 (it is ubtracting two instead of adding two because it is a negative two.)

Hope this helps!!
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3 years ago

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mote1985 [20]

Answer:

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Step-by-step explanation:

$100-$9=$91 and 91÷15= 6. omething which means only 6 pizza can be purchased.

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3 years ago

the metal in a penny is worth about 0.505 cents how many cents is this written as a fraction in simplest form

aivan3 [116]

Hello,

505/1 000 = ( 505 / 5 ) / ( 1 000 / 5 ) = 101/200

Bye :)

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3 years ago