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3 years ago

Convert to Standard Form 13-6x-y=0

Mathematics

1 answer:

zaharov [31]3 years ago

8 0

I believe this is the answer 6x+y=13

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On a coordinate plane, point B(–6, 1) is translated to B prime(–3, –2). Indira uses these steps to find a rule to describe the t

Lunna [17]

Answer:

The rule of the translation is (x,y) -----> (x+3,y-3)

The translation is 3 units at right and 3 units down

Step-by-step explanation:

we have that

The translation of point B to point B' is

B(-6,1) -----> B'(-3,-2)

(x,y) -----> (x+a,y+b)

B(-6,1) ----> (-6+a,1+b)

Find the value of a

$-6+a=-3$

solve for a

$a=-3+6\\a=3$

Find the value of b

$1+b=-2$

solve for b

$b=-2-1\\b=-3$

therefore

The rule of the translation is

(x,y) -----> (x+3,y-3)

That means ----> The translation is 3 units at right and 3 units down

3 0

3 years ago

Read 2 more answers

So here's information before I say the question

zysi [14]

What you have to do is multiply 21 by 2. it is 42. $42 dollars was the original price of the bookcase.

3 0

3 years ago

Ms. Halloween works in a factory. She receives a salary of $9.10 per hour and piecework pay of 15 cents per unit produced. Last

Karolina [17]

Answer:

1065.1

Step-by-step explanation:

4 0

3 years ago

Write the equation in vertex form and then find the vertex, focus, and directrix of a parabola with equation x=y^2+18y-2

kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is $x=-83.25$

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

$(y - k)^{2}=4p(x - h)$

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

In this problem we have

$x=y^{2} +18y-2$

Convert to standard form

$x+2=y^{2} +18y$

$x+2+81=y^{2} +18y+81$

$x+83=(y+9)^{2}$

This is a horizontal parabola open to the right

(h,k) is the point (-83,-9)

The vertex is the point (-83,-9)

step 2

we have

$x+83=(y+9)^{2}$

<em>Find the value of p</em>

$4p=1$

$p=1/4$

<em>Find the focus</em>

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

$x=h-p$

substitute

$x=-83-1/4$

$x=-83.25$

6 0

3 years ago

Solve this problem show work. -5/6 + 1/3

shtirl [24]

1/3 is the same as 2/6, so we can rewrite this as:

-5/6 + 1/3 = -5/6 + 2/6

To add fractions, add the numerators:

-5 + 2 = -3

So, -5/6 + 2/6 = -3/6

This can reduce, since 3 and 6 are divisible by 3.

-3/6 = -1/2

5 0

3 years ago