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3 years ago

If two lines are perpendicular , what do we know about their slopes ?

Mathematics

1 answer:

vovangra [49]3 years ago

6 0

Answer:

If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Hope this helps.

Step-by-step explanation:

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A circle is centered at the point (-7, -1) and passes through the point (8, 7).The radius of the circle is____ units. The point

denis-greek [22]

Answer:

Part 1) The radius of the circle is r=17 units

Part 2) The points (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center of the circle and any point on the circle is equal to the radius of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(-7, -1) and (8, 7)

substitute

$r=\sqrt{(7+1)^{2}+(8+7)^{2}}$

$r=\sqrt{(8)^{2}+(15)^{2}}$

$r=\sqrt{289}$

$r=17\ units$

step 2

Find out the y-coordinate of point (-15,y)

The equation of the circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

substitute the values

$(x+7)^2+(y+1)^2=17^2$

$(x+7)^2+(y+1)^2=289$

Substitute the value of x=-15 in the equation

$(-15+7)^2+(y+1)^2=289$

$64+(y+1)^2=289$

$(y+1)^2=289-64$

$(y+1)^2=225$

square root both sides

$(y+1)=(+/-)15$

$y=-1(+/-)15$

$y=-1(+)15=14$

$y=-1(-)15=-16$

therefore

we have two solutions

point (-15,14) and point (-15,-16)

see the attached figure to better understand the problem

8 0

3 years ago

The gas tank in Sharon’s car can hold up to 16.5 gal of gas. About how many liters of gas can the tank hold? 1 L≈1.06 qt

Andreas93 [3]

we know that

a) $1$ gallon is equal to $4$ quarter of gallon

by proportion

$16.5$ gallons is equal to

$\frac{1}{4} =\frac{16.5}{x} \\ x=16.5*4\\ x=66$ quarter of gallon

b) $1$ liter is equal to $1.06$ quarter of gallon

by proportion

$66$ quarter of gallon is equal to

$\frac{1}{1.06} =\frac{x}{66} \\ x=\frac{66}{1.06} \\ x=62.26\\ x=62.3$ liters

therefore

the answer is the option

$62.3L$

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3 years ago

Every day, Navya's teacher randomly picks a number from 1 to 40 to be the number of the day. The

ELEN [110]

Answer:

two points in the xy plane have cartesian coordinate (2,-4)and (-3,3) where the units are in m determine.

a)the distance between these point and

b) their polar coordinates

5 0

3 years ago

A cylinder has a radius of 1 inch and a height of 1 inch. What is the approximate volume of the cylinder? Round to the nearest h

stich3 [128]

Answer:3.14
Step-by-step explanation:
Volume of cylinder can be calculated by using the formula V= pir^2h
Where r is radius of cylinder and h is the height.
A cylinder with radius 1 inch and height of 1 inch is given.
r=1,h=1,π=3.14.
Substituting the given values :
V=3.14(1)^2(1)
Volume of cylinder rounded to nearest tenth is 3.14 cubic inches .

Read more on Brainly.com - brainly.com/question/15702861#readmore

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3 years ago

Brody can fill a bowl with candy in 3 minutes. While Brody fills the bowl, Hudson takes the candy out of the bowl. With Hudson t

shtirl [24]

Answer:

1/3 - 1/x=1/5

Step-by-step explanation:

Let the total work be "1"

Brody Hudson Brody+Hudson

Time 3 mins x min 5 min

Efficiency 1/3 -1/x 1/5

The efficiency of Hudson is negative as he is taking out the candies out of the bowl, since efficiency of Brody + efficiency of Hudson = efficiency of both, which means,

1/3 - 1/x = 1/5....

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3 years ago