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3 years ago

Find the y-intercept for the graph of the following equation. 6x + 9y = 18

1 answer:

8 0

Recall that the y-intercept is when the function passes the y-axis. This happens when x=0. Therefore, we can find our y-intercept by plugging x=0 into our function and solving for y.

6x + 9y = 18
6(0) + 9y = 18
0 + 9y = 18
9y = 18
y =2

Thus, our y-intercept is when x = 0 and y = 2, or (0,2).

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5(3x+4)=15x+20 <br> Is this associative,commutative,identity,Or a distributive property?

svetlana [45]

$\bold{Hey\ there!} \\ \bold{\ Assoviative \ property\ looks\ looks\ like\ this:(2+3)+4;2+(3+4)}\\ \bold{\ Commutative\ property\ looks\ like\ this:b+c;c+b} \\ \bold{\ Distributive\ property\ looks\ like\ this:a(b+c);a(b)+a(c)}\\ \bold{5(3x+4)=15x+20}\\ \\ \bold{5(3x))=15x} \\ \bold{5(4)=20} \\ \\ \bold{Answer:distributive\ property}\checkmark$

$\bold{Reason:\ because\ it\ almost\ similar\ to\ the\ example\ shown\ above\ as\ to\ how\ solve\ it!} \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\\frak{LoveYourselfFirst:)}$

4 0

3 years ago

Give the ellipse 9x² + 16y2 = 144, find the equation of the diameter which bisects the chord with slope 1/2

Genrish500 [490]

The equation of the diameter which bisects the chord with slope 1/2 is

$y=-\frac{9}{8} x$

The general form of the equation of given ellipse is $ax^2+by^2=c$ and equation of chord will be $y=mx+n$ for some m and n.

Now in order to find values of x that intercept the ellipse it must fulfill the equation as such;

$ax^2+b(mx+n)^2=c$

$(a+bm^2)x^2+2bmnx+bn^2 - c=0$

<h3 /><h3>What is the definition of an ellipse?</h3>

It is a plane section curve whose sum from two fixed points will be a constant value.

Quadratic roots will give the mid value of x and value of y will be ;

$X=\frac{-b}{2a} =\frac{-bmn}{a+bm^2}$

$Y=n-\frac{bm^2n}{a+bm^2} =\frac{an}{a+bm^2}$

Thus the final equation of required diameter will be :

$y=\frac{Y}{X} x=-\frac{a}{bm} x$

And in this case the equation of the diameter which bisects the chord with slope 1/2 is,

$y=-\frac{9}{8} x$

Learn more from here quadratic equations,

brainly.com/question/14281133

# SPJ1

5 0

1 year ago

What's the answer of this questions

Len [333]

Answer:

First one round it to nearest 10 100 and 1000

next subtract.

It's easy.

8 0

3 years ago

Help with this question please answer it

Elanso [62]

Answer:

15.5 yards

They will be picked up at an elevation of 15.5 yards

Step-by-step explanation:

Here we are going to make the ski slope of the mountain as the hypotenuse of a right-angled triangle where the top of the slope and bottom of the slope are two ends of the hypotenuse.

We first have to find the height of the top of the mountain with respect to the bottom.

Here we have been given heights with respect to sea level above and below.

Clearly, sum of the distances above and below sea level will be total elevation with respect to the bottom.

h1 - Height of summit above sea level

h2 - Height of bottom below sea level

Hb - Elevation of top w.r.t bottom

Hb = h1 + h2

Hb = $17\frac{3}{4}+13\frac{1}{4}$

Hb = 31 yards

Now, the ski lift is picking them up in the middle of the slope (hypotenuse of the triangle).

By midpoint theorem line segment parallel to base joins the midpoints of the other 2 sides.

Thus the elevation will clearly be half of total elevation.

Height at which they are picked up is Hb/2

Therefore,

They will be picked up at an elevation of 15.5 yards

7 0

3 years ago

Angie has saved $2.50 of her allowance every week for the past 12 weeks. If she continues saving the same amount each week, how

topjm [15]

Answer:

Step-by-step explanation:

$2.50 x 12 equals 30

2.50 x 20 equals 50

x10= 2.50 x 20 =$50

7 0

3 years ago