MATHEMATICS HIGH SCHOOL

A line passes through points (-4,-9) with a slope of 5/4 write an equation in slope intercept form

Answers

Answer 1

Answer:

The equation in slope-intercept form is $y = (5)/(4)x -4$

Given the following points:

Points on the x-axis = -4

Points on the y-axis = -9

Slope, m = $(5)/(4)$

To write an equation in slope-intercept form:

The standard form of an equation of line is given by the formula;

$y = mx + b$

Where:

x and y are the points.

m is the slope.

b is the intercept.

First of all, we would determine the intercept:

$-9 = (5)/(4) (-4) + b\n\n-9 = -5 + b\n\nb = -9 + 5$

Intercept, b = -4

The equation in slope-intercept form:

$y = (5)/(4)x + (-4)\n\ny = (5)/(4)x -4$

Therefore, the equation in slope-intercept form is $y = (5)/(4)x -4$

Answer 2

Answer: -9 = 5/4(-4) + b
-9 = -5 + b
+5
-4 = b

y = 5/4x - 4

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The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true? A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.

Answers

The sum of the areas of Square N and Square L is equal to the area of Square K and this can be determined by using the Pythagorean theorem.

Given :

The diagram shows three squares that are joined at vertices to form a right triangle.

The following steps can be used in order to determine which statement is true:

Step 1 - The Pythagorean theorem can be used in order to determine which statement is true.

Step 2 - According to the Pythagorean theorem, the sum of the square of the shorter sides is equal to the square of the longer side.

Step 3 - So, from the above steps, it can be concluded that the sum of the areas of Square N and Square L is equal to the area of Square K.

Therefore, the correct statement is given by option A).

For more information, refer to the link given below:

brainly.com/question/25277954

answer:

a) the sum of the areas of square n and square l is equal to the area of square k.

step-by-step explanation:

https://quiz izz.com/admin/quiz/5ecffa4789713d001cea9223/2019-8th-grade-staar

good luck :)

i hope this helps

have a nice day!

use the given conditions to write an equation for the line in point slope form passing through (-5,7) and (-8,6)

Answers

point slope form is
y-y1=m(x-x1)
where slope=m
and (x1,y1) is a given point

slope=(y2-y1)/(x2-x1)
slope=(6-7)/(-8-(-5))=-1/(-8+5)=-1/-3=1/3

pick any point
(x,y)
(-5,7)

y-7=1/3(x+5) or
y-6=1/3(x+8)

What is the oblique asymptote of the function f(x) = the quantity x squared plus 5x plus 6 over the quantity x plus 4?

Answers

Answer:

$x+1$

Step-by-step explanation:

A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.

To find the slant asymptote you must divide the numerator by the denominator using either long division or synthetic division.

We are given a function:

$f(x)=(x^2+5x+6)/(x+4)$

Since in the given function the polynomial in the numerator is a higher degree than the polynomial in the denominator.

So, now to find oblique asymptote we will divide the numerator by the denominator

So, on dividing we get :

$f(x)=(x^2+5x+6)/(x+4)=x+1+\frac2{x+4}$ j

Now, As $x\to\pm\infty$ the remainder term disappears

So the oblique asymptote is the line $y=x+1$

Thus, the oblique asymptote of the function $f(x)=(x^2+5x+6)/(x+4)$ is $x+1$

$f(x)=(x^2+5x+6)/(x+4)=x+1+\frac2{x+4}$

As $x\to\pm\infty$ , the remainder term disappears, so the oblique asymptote is the line $y=x+1$ .

Please help!!!!!!!!!!!

Answers

I think the answers .1823

Yesterday my family caught a largo fish. We ate 2/6 of the fish. Today we eat 2/4 of the fish. Told my motores that we ate more fish yesterday than today because 6 is greater than 4. So 2/6 is greater than 2/4. My mother told me i madre a mistake .

Answers

Answer:

Step-by-step explanation:

Fraction of fish ate on first day = 2/6

fraction of fish ate on second day = 2/4

In case of comparison of rational numbers if the numerators of two rational numbers is same and the denominators are different, then the number having larger denominator is less than the number having smaller denominator.

So, the number 2/6 < 2/4

So, the fraction of fish ate on the first day is less than the amount of fish ate on te second day.

Find correct two decimal places, the radius of the circle with the given circumference: 35cm

Answers

$C=2 \pi r$
C - circumference, r - radius

$C=35 \ [cm] \n \n35=2 \pi r \nr=(35)/(2 \pi) \nr=(17.5)/(\pi) \n\boxed{r \approx 5.57 \ [cm]}$

$C=2\pi r=35\n2\pi r=35\nr=(35)/(2\pi)\approx5.57\text{ cm}$

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