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3 years ago

Which number is farthest to zero -167, -289, 67, 298

Mathematics

1 answer:

dangina [55]3 years ago

7 0

Answer:

298

Step-by-step explanation:

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What is the converse of r->(~q v p)

alexira [117]

Answer:

$r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r$

Step-by-step explanation:

In general, remember that the converse of $a => b$ is $\neg b => \neg a$ , therefore in this case $a = r \ \ , b = \neg q \ \lor p$

so $r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r$

8 0

3 years ago

Find an equation of the circle that satisfies the given conditions.

hodyreva [135]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the centre
r - the radius

The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:
$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

$P(-1,1) \\
x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\
\frac{x_1+x_2}{2}=\frac{-1+5}{2}=\frac{4}{2}=2 \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5$

The centre of the circle is (2,5).

The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-1,1) \\ x_1=-1 \\ y_1=1 \\ \\ (2,5) \\ x_2=2 \\ y_2=5 \\ \\ d=\sqrt{(2-(-1))^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$

The radius is 5.

$(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}$

4 0

3 years ago

If a=3 and b=5 , then ab/15 + a(6+7b) =

stich3 [128]

Answer:

124

Step-by-step explanation:

3x5/15=1

1+3(6+35)

1+18+105=

124

8 0

3 years ago

Read 2 more answers

G a tanker has developed a leak in pristine bay and has spilled a considerable amount of oil. the good news is that oil-eating b

alexandr402 [8]

$V = \pi r^2 h \\ \\ \frac{dV}{dt} = 2\pi r h \frac{dr}{dt} + \pi r^2 \frac{dh}{dt} \\ \\ -5 =2 \pi (500)(.01)\frac{dr}{dt} + \pi (500^2)(-.001) \\ \\ \frac{dr}{dt} = \frac{250 \pi -5}{10 \pi} = \frac{50 \pi - 1}{2 \pi}$

7 0

3 years ago

What is the slope of y=7-3x

Anna [14]

The equation used above is y-intercept form.

ex. y = mx + b

Whatever is in front of the x is your slope.

Your slope is -3

7 0

3 years ago