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3 years ago

Write 4y−10=0 in slope-intercept form

Mathematics

2 answers:

Natalka [10]3 years ago

6 0

Answer:

y= 5/2

Step-by-step explanation:

4y-10=0

+10 +10 <-- add 10 to both sides

4y=10

4y/4=10/4 <-- divide by 4 to isolate y

y=10/4

y=5/2 <-- simplify

pogonyaev3 years ago

4 0

Answer:

y=5/2

Step-by-step explanation:

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To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x

Fiesta28 [93]

Given function is

$f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.$

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

$kx^2-5$

so RHD= $k(-4)^2-5$

Now set both equal

$k(-4)^2-5=3(-4)+k$

$16k-5=-12+k$

$16k-k=-12+5$

$15k=-7$

$k=-\frac{7}{15}$

k=-0.47

<u>Hence final answer is -0.47.</u>

7 0

3 years ago

Find the horizontal and vertical intercepts for

allsm [11]

Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.

The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

According to the question;

the r-axis is the horizontal axis.
the s-axis is the vertical axis.

Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).

i.e s = 0
the equation r⁴ + s² − r s = 16, then becomes;
r⁴ = 16
Therefore, r = ±2.

Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).

i.e r = 0.
the equation r⁴ + s² − r s = 16, then becomes;
s² = 16.
Therefore, s = ±4.

Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

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2 years ago

Choose all of the transformations that are rigid motions.

kkurt [141]

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.

Rigid transformations are transformation that produces an image with the same size, shape and angle as the original object. Rigid transformations are translation, rotation and reflection.

Dilation is not a rigid transformation.

All the transformations attached are rigid transformations.