24% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are

A new graph is formed from y = 5x by changing the slope to 9 and y-intercept to 8. Which statement about the new relationship is

shusha [124]

Answer:

The new graph has a steeper slope and a y-intercept of 8.

Step-by-step explanation:

From Analytical Geometry, we define a straight line by following first order polynomial (linear function):

$y = m\cdot x + b$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$b$ - y-Intercept.

$m$ - Slope.

And the slope represents the change in dependent variable ( $\Delta y$ ) divided by the change in independent variable ( $\Delta x$ ). That is:

$m = \frac{\Delta y}{\Delta x}$

If $m_{1} > 0$ and $m_{2} > m_{1}$ , then the new line is steeper with respect to the original line.

Let $y = 5\cdot x$ , its slope and y-intercept are 5 and 0, respectively. If slope is changed into 9 and y-intercept becomes 8, then the new graph has a steeper slope and a y-intercept of 8.

8 0

3 years ago

Find the quotient of these complex numbers.

stich3 [128]

9514 1404 393

Answer:

C. (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

$\dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}$

8 0

2 years ago

I need help solving this inverse function. Does anybody know how to do it? I'm almost gonna be having my finals so I wanna be re

Sphinxa [80]

What is the question

3 0

3 years ago

The prime factorization of 7,840,000 is 2^8*5^4*7^2. The prime factorization of square root of 7840000 is 2^a*5^b*7^c. What is a

Sladkaya [172]

Answer:

8+4+2=14

Step-by-step explanation:

Sorry if this did not help! I give away points!

6 0

2 years ago

En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz

nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

= 180° - 72° - 64°

= 44°

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

= 180° - 90° - 72°

= 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

= 180° - 18° - 36°

= 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

= 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

= 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

= 180° - 14° - 54°

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

<em>d</em> = angle BQP - angle PBQ

= 112° - 14°

= 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

4 0

3 years ago