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3 years ago

If a and b are real numbers and if y = ax + b is a direct variation equation, what do you know about a and b?

1 answer:

8 0

y = ax + b
We observe that the given equation is the generic equation of a line.
Where,
a = represents the slope of the line. That is, the rate of change of the given function. (in this case it is constant).
b = is the cut point with the y axis.

You might be interested in

Write the decimal as a percent.<br><br> 0.097

earnstyle [38]

Answer:

9.7%

Step-by-step explanation:

6 0

3 years ago

The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of

Yakvenalex [24]

Answer:

81 square inches.

Step-by-step explanation:

Draw a diagram to represent what you know.

You don't know the values of the lengths so represent them algebraically.

You know the perimeter is 45 inches and that the perimeter is calculated by the sum of all of the sides of a shape.

You can rearrange to find the value of a side you've denoted as some unknown variable.

The area is given by the product of the sides. Express this algebraically and then input the value you found.

4 0

3 years ago

Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent

tekilochka [14]

Answer:

$no$

Step-by-step explanation:

Lets solve the first half.

$-4 ( x - 6) = -4x + 24$

Second one:

$-4 times x - 4 times 6 = -4x -24$

Now compare.....Not the same right??

So your answer is: $no$

Hope this helps :)

7 0

3 years ago

A newborn baby weighs 8 pounds and decreases his weight by 5% every week how much does the baby weigh after 20 weeks?

Feliz [49]

Answer:

in 20 weeks the baby will weigh nothing and is definitely dead

Step-by-step explanation:

5% of 8 is . 4

.4 x 20 is 8

5 0

3 years ago

Read 2 more answers

LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters

Evgen [1.6K]

Answer:

$(B)r=\dfrac{85}{12}$

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

LX=6
Radius, XJ=JK=r
LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

$(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}$

The length of the radius, $r=\dfrac{85}{12}$

8 0

3 years ago

Read 2 more answers