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4 years ago

Standerd form example

2 answers:

7 0

Rewrite y=1/2x+4
we know that standard form equations cannot contain fractions. therefore, let's first get rid of the fractions. we can multiply by the Least Common Denominator (LCD) to get rid of the fraction.
y=1/2x+4

2[y=1,2x+4] multiply all terms by 2.

2y=x+8 distribute the 2 to all terms.

-x+2y=x-x+8 subtract x form both sides in order to x and y on the same side of the equation.

-x+2y=8

-1[-x+2y=8] multiply all terms by -1 to make the lead coefficient positive.

x-2y=-8 the equation written in standard form.

slega [8]4 years ago

3 0

3951 is an example of a standard form.

What standard form means is the number is written in numerical form.

More examples: 5269, 95862, 125634, etc.

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Seth has a garden with dimensions 9 feet long times 8 feet wide he wants to enlarge the garden to an area of 120 ft.² how much f

ziro4ka [17]

Answer:

6 ft longer (total length of 15ft)

Step-by-step explanation:

the initial dimensions are:

length: $l=9ft$

width: $w=8ft$

the area area of the garden is given by:

$a=l*w$

so the original area is:

$a=9ft*8ft=72ft^2$

Since we need the area to be $120ft^2$ , and we can only change the length, the width will still be 8ft.

We substitute the value of the new area and the width to the equation for the area:

$a=l*w\\120ft^2=l*8ft$

and we clear for the new length:

$l=\frac{120ft^2}{8ft}\\ \\l=15$

The length of the garden for the area to be $120ft^2$ , must be 15ft.

This means that if originally the length was 9 ft, now it has to be 6 ft longer.

5 0

3 years ago

Please help!! Will mark BRAINLIEST!! <br><br> Find an equation for the graph sketched below:

Sedbober [7]

The equation for the graph sketched below is $y=-3 \cdot (-\frac{1}{3} )^x$

The given graph is an exponential graph and the standard exponential graph is expressed as $y=ab^x$

a is the y-intercept of the graph

(x, y) is any point on the graph.

Given the following from the graph;

a = -3

(x, y) = (1, 1)

Substitute the point and the y-intercept into the formula to have

$1=-3\cdot b^1\\\b = -\frac{1}{3} \$

Get the required exponential equation:

Recall that $y=ab^x$

$y=-3 \cdot (-\frac{1}{3} )^x$

Hence the equation for the graph sketched below is $y=-3 \cdot (-\frac{1}{3} )^x$

Learn more here: brainly.com/question/19245707

8 0

3 years ago

When translating a figure using a combination of two translations, is the resulting figure congruent to the original figure?

g100num [7]

Yes, when you translate a figure the figure is always congruent to the original figure.

Translation is a type of rigid transformation and after rigid transformation the image is always congruent to the pre-image.

Hope this helps :)

4 0

3 years ago

Find all values of θ in the interval 0° ≤ θ < 360° that satisfy the equation sin 2θ = sin θ.

kap26 [50]

Sin 2θ = sin θ
2sin θ cos θ = sin θ
2cos θ = 1
cos θ = 1/2
θ = arccos(1/2) = 60° and 300°
θ = 60° and 300°

7 0

3 years ago

I'm reasking a previous question to make it more clear. This is a Linear Equation that I must solve. It includes fractions (the

Ugo [173]

Assuming the equation is:

$\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)$