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3 years ago

Write the equation in slope-intercept form. What are the slope and y-intercept?

Mathematics

1 answer:

m_a_m_a [10]3 years ago

4 0

Answer:

The slope would be -5/12 and the intercept would be -11/12

Step-by-step explanation:

To find the slope and intercept of this line, solve for y.

-5x - 12y = 11

-12y = 5x + 11

y = -5/12x - 11/12

Now that we have this, we know that the slope is the coefficient of x (-5/12). Then we can locate the intercept as the constant at the end (-11/12)

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a Textbook weighs 2.5 pounds. how many kilograms does the textbook weigh? round your answer to the nearest tenth of a pound. one

Rzqust [24]

If you round it to the nearest pound it is 1.1 kg
2.5/2.2 = 1.13....

3 0

3 years ago

Read 2 more answers

Solve the equation 58 - 10x ≤ 20 + 9x

drek231 [11]

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

$58-10x\leq20+9x$

Then, add $10x$ to both sides:

$58-10x+10x\leq20+9x+10x\\58\leq20+19x$

Next, subtract $20$ from both sides:

$58-20\leq20-20+19x\\38\leq19x$

Finally, divide both sides by $19$ :

$\frac{38}{19}\leq\frac{19x}{19}\\2\leq x$

$x\geq 2$

Therefore: the answer to this inequality/equation is: x≥2

6 0

3 years ago

1 point

lara [203]

Answer:

V=20 in cubed

Step-by-step explanation:

The formula to find the volume of a pyramid is L×W×H÷3

L×W=15 or 5×3=15
15×H=60 or 15×4=60
60÷3=20 in cubed

Therefore V =20 in cubed

Hope that helped! If you have any further questions please message me! Good luck!

8 0

3 years ago

Q6: Which is the graph of the polar equation r=1/1-sin theta.

AveGali [126]

Answer:

The correct answer is C.

Step-by-step explanation:

The given equation is;

$r=\frac{1}{1-\sin(\theta)}$

This implies that;

$r(1-\sin(\theta)=1$

$r-r\sin(\theta)=1$

Let us write in Cartesian coordinates by substituting;

$r=\sqrt{x^2+y^2} ,y=r\sin(\theta)$

$\sqrt{x^2+y^2}-y=1$

$\sqrt{x^2+y^2}=y+1$

Square both sides;

$(\sqrt{x^2+y^2})^2=(y+1)^2$

This implies that;

$x^2+y^2=y^2+2y+1$

$x^2=2y+1$

$y=\frac{1}{2}x^2-\frac{1}{2}$

This is an equation of a parabola that opens upwards with a y-intercept of $-\frac{1}{2}$ .

The correct choice is C

4 0

3 years ago

A water container has 19.5 litres of water in it. A cup holds 210 ml of water. At most 92 cups can be filled completely from the

coldgirl [10]

Step-by-step explanation:

Given

A container has 19.5 liters of water

A cup can hold 210 ml of water

1 L is equivalent to 1000 ml

So, 19.5 L is equivalent to $19.5\times 1000=19,500\ ml$

So, the number of requires to hold this much water

$\Rightarrow n=\dfrac{19,500}{210}\\\\\Rightarrow n=92.85\ \text{cups}$

92.85 implies 92 full cups and 1 cup which is partially filled. Hence, almost 92 cups can be filled completely.

5 0

2 years ago