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3 years ago

Add. Write your answer as a fraction in simplest form 7/9 + 7/6

Mathematics

1 answer:

solong [7]3 years ago

5 0

35/18 I think this is right and I hope it helps!!

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April has 5 milligrams of zinc and 0.25 milligrams of copper.

GREYUIT [131]

Answer:

It's 4.75

Step-by-step explanation:

If you subtract 5-.25=? The answer would be 4.75. Hope this helps.

7 0

2 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

2 years ago

Round your answer to the nearest hundreth

Juliette [100K]

Answer:

201.06 sq. ft.

Step-by-step explanation:

Area of a circle is found by using the equation:

$A = \pi r^{2}$

Radius = 1/2 (diameter) = 1/2 (16) = 8

So plug in:

$A = \pi (8)^{2}$

A = 64 $\pi$

A = 201.06193

Rounded A= 201. 06

5 0

2 years ago

What is -3+5+6g=11-3g solve for g

vitfil [10]

Answer: g = 1

Step-by-step explanation:

-3 + 5 + 6g = 11 - 3g

First, we need to combine like terms

-3 + 5 = 2

2 + 6g = 11 - 3g

Add 3g to each side

2 + 9g = 11

Subtract 2 from each side

9g = 9

Divide each side by 1

g = 1

8 0

2 years ago

Read 2 more answers

A pair of shoes weighs 650 grams.How many decigrams does it weigh?

Scorpion4ik [409]

We know that 1 gram = 10 decigrams

That means that 650 * 10= 6500

Hope this helps!

6 0

2 years ago

Read 2 more answers