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3 years ago

9. Krista and Emily wrote an equation of a line that is parallel to the line y = 3x - 1 and passing

Mathematics

1 answer:

Andre45 [30]3 years ago

6 0

Step-by-step explanation:

Hey there!

The equation, of a st. line that passes through point (5,9) is,

$(y - y1) = m1(y - y1)$

Put the values,

$(y - 9) = m1(x - 5)$

It is 1st equation.

Now, another equation is,

y = 3x-1.........(ii)

Comparing the equation with y = mx+c.

Slope (m2)= 3

As per the parallel lines,

m1=m2=3

Putting,

the value of m1 in equation(i)

(y-9)= 3(x-5)

y-9= 3x - 15

y = 3x - 6.

So, Krista equation is correct.

Hope it helps...

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A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104

mina [271]

1. Regroup terms
x(x+5)=104

2. Expand
x^2+5x=104

3. Move all terms to one side
x^2+5x-104=0

4. Factor x^2+5x-104
(x-8)(x+13)=0

5. Solve for x
x=8 or x=-13
Since x<0 is not possible in this case, x=8

6. Finding the dimensions
We know that one side has to be x+5, and now that we know x:
8+5=13
13*8=104

The dimensions are 13 and 8, have a nice day :D

8 0

3 years ago

Read 2 more answers

if a smaller square of side 3 cm is cut out from a bigger square of side 9 cm to form a new shape ,What is the perimeter of the

Verdich [7]

Need to find:

Perimeter of new square formed?

$~$

Solution:

Side of smaller square = 3cm.
Side of Bigger square = 9cm

$~$

Using formula:

Perimeter of square = 4 × side

$~$

Perimeter of smaller square:

⟹ 4 × 3

⟹ 12 cm

$~$

Perimeter of Bigger square:

⟹ 4 × 9

⟹ 36cm

$~$

Perimeter of new square = Perimeter of Bigger square - Perimeter of smaller square

⟹ 36 - 12

⟹ 24 cm

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∴ Perimeter of new square formed is 24 cm.

8 0

3 years ago

Which of the following describes how to translate the graph y=|x| to obtain the graph of y=|x-6|

Lera25 [3.4K]

You transformed the function as follows:

$f(x)\mapsto f(x-6)$

All trasformations of the fashion $f(x)\mapsto f(x+k)$ translate the function horizontally, k units right if k is positive, k units left if k is negative.