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allsm [11]
2 years ago
8

Carmen runs 4 miles in 30 min. At the same rate, how many miles would she run in 48min?

Mathematics
1 answer:
djverab [1.8K]2 years ago
3 0

Answer: 360 miles hope this helps :D

Step-by-step explanation: 30/4=  1 mile every 7.5 min

7.5min times 48 equals 360 miles

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Find the zeros (x-3)(x+5)=0
maxonik [38]
The product is equal zero if one of the factors is equal zero.Therefore:
(x-3)(x+5)=0\iff x-3=0\ \vee\ x+5=0\\\\\boxed{x=3\ \vee\ x=-5}

3 0
3 years ago
Find equations of the spheres with center(1, −1, 6)that touch the following planes.a) xy-planeb) yz-planec) xz-plane
Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

To Find :

Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

a)

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

(x-1)^2+(y-(-1))^2+(z-6)^2=6^2\\\\(x-1)^2+(y+1)^2+(z-6)^2=36

b)

Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1

c)

Distance of point from xz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1

Hence , this is the required solution .

4 0
3 years ago
How to solve (x+3)^2+7=29
tangare [24]
X^2 + 9 + 7 = 20
X^2 +16 = 20
X^2 = 20-16
X^2 = 4
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6 0
2 years ago
Help pls and no links
Svetlanka [38]

We know a or b != 0

but a-b==0 so both are the same unknown number

b/a must = 1

so

a/b is equivalent to b/a as a/b=1 as well.

So the last answer choice.

7 0
3 years ago
GIVING BRAINIEST IF CORRECT!!<br> Find the area of the shaded region.
Andreyy89
Area of Shaded triangle as a whole: 136cm^2
Area of Rectangle 1 : 20cm^2
Area of Rectangle 2 : 6cm ^ 2

Area of the shaded region :
136 - (20+6)
136 - (26)
110 cm^2

8 0
2 years ago
Read 2 more answers
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