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2 years ago

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A line passes through the point (4 ‐6) and has a slope of ‐3/4 what is the equation

1 answer:

mrs_skeptik [129]2 years ago

5 0

Answer:

y= -3/4x - 3

Step-by-step explanation:

-3/4 is the slope, so you replace m with the slope.

The y intercept is -3. If x is 4, and y is -6, we can plug that into an equation to find the y intercept. y=mx+b can change to -6= -3/4 * 4 + b. B = -3.

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mr_godi [17]

To find the perimeter, the equation is (w2 + l2 = p)

Where w is width and l is length and p is perimeter.

If you have the width, then you double it for both widths.

Then subtract that number from the perimeter.

150-60 = 90

90 is the remaining number for the lengths. Since both lengths needs to be equal, you split the 90. 45.

You length equals 45.

45(2) + 30(2) = Perimeter of 150.

Your answer is 45.

7 0

3 years ago

Rewrite 24 * x in a different way, using the commutative property of multiplication. Note that x represents a real number.

Ivan

The communicative property means that multiplied numbers can be multiplied in any order.

3*2*4 is the same as 2*4*3. The answer will be the same.

So (24 * x) is the same as (x * 24).

Hope this helps! :)

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3 years ago

Read 2 more answers

Sam is filling up his pool. The water hose filled the 315 gallon pool in 45 minutes. At what rate did the hose fill the pool in

Serhud [2]

Answer:

7 gallons per minute

Step-by-step explanation:

315/45 = 7

3 0

2 years ago

Read 2 more answers

Which quadratic equation fits the data in the table?

marissa [1.9K]

Answer:

y = 3 - x + x²

Step-by-step explanation:

Given the data:

x. y

-5 33

-2 9

-1 5

0 3

3 9

4 15

6 33

General formof a quadratic model:

y = A + Bx + Cx²

Using the quadratic regression model solver for the data Given:

The quadratic model fit obtained is :

y = 3 - x + x²

4 0

2 years ago

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

<em>Area of polygon D = 10 square units</em>

Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

<u></u>

<u>To find:</u>

The area of polygon D = ?

<u>Solution:</u>

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides <em>6, 8 and 10 units.</em>

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = <em>10 sq units</em>

4 0

2 years ago