All categories

2 years ago

Given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only

Mathematics

1 answer:

olga2289 [7]2 years ago

5 0

Answer:

$4 \frac{1}{9}x$ + $12\frac{1}{3}$ = 0

Step-by-step explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

y = $-1\frac{1}{3} + \frac{2}{9} x$

Therefore...

5x - 4y + 7 = 0

5x - 4( $-1\frac{1}{3} + \frac{2}{9} x$ ) + 7 = 0

5x + $5\frac{1}{3}$ - $\frac{8}{9} x$ + 7 = 0

$4 \frac{1}{9}x$ + $12\frac{1}{3}$ = 0

You might be interested in

Please help me!!! Geometry question.

tigry1 [53]

Answer:

The volume of the figure is $(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid

step 1

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=\frac{l\sqrt{2}}{2}\ units$ ----> the diagonal of the square base of pyramid is equal to the diameter of the cone

$h=l\ units$

substitute

$V=\frac{1}{3}\pi (\frac{l\sqrt{2}}{2})^{2}(l)$

$V=\frac{1}{6}\pi (l)^{3}\ units^{3}$

step 2

Find the volume of the square pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base

h is the height of the pyramid

we have

$h=l\ units$

$B=l^{2}\ units^{2}$

substitute

$V=\frac{1}{3}l^{2}(l)$

$V=\frac{1}{3}l^{3}\ units^{3}$

step 3

Find the volume of the figure

$\frac{1}{6}\pi (l)^{3}\ units^{3}-\frac{1}{3}l^{3}\ units^{3}=(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}$

5 0

2 years ago

What is the y-intercept of the function described by the data in the table below? Xy -1 5 2 -7 5 -19

marysya [2.9K]

Answer:

Step-by-step explanation:because

8 0

2 years ago

Any two lines lie in exactly one plane. True False

egoroff_w [7]

Answer: False

Explanation / Counterexample: Two lines in a 3-dimensional space can lie in two different planes.

6 0

2 years ago

6) Mrs. Larson from Bay County Schools is in charge of buying supplies. She purchased 95

svp [43]

Answer:

$3708.80

Step-by-step explanation:

Since she bought 95 pencil sharpeners for $39.04, multiply 95 and 39.04.

95 × 39.04 = 3708.8

4 0

3 years ago

The given triangles are similar. Solve for x.

Maru [420]

The first one is 21.93 rounded up to 22.

8 0

2 years ago