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8090 [49]
3 years ago
7

one day you ride 2x + 5 km on your bicycle the next day you rides 3x kilometers is it possible that you rode the same distance e

ach day
Mathematics
2 answers:
VARVARA [1.3K]3 years ago
5 0
Yes if x is equal to 5
stira [4]3 years ago
5 0

Answer:

When x=5 you will travel the same distance both days.

Step-by-step explanation:

x is a variable and it will affect the distance you travel.

When x is a specific value the distance traveled by bicycle can be the same.

Following equality will help to find that x value.

2x+5=3x

5=x

So when x=5 you will travel the same distance both days.


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The difference between the roots of the quadratic equation x2+x+c=0 is 6. Find c.
NemiM [27]
We have that
x_{1} - x_{2} = 6
Let y be the first root, then y - 6 will be the second one. Since both roots make the quadratic equation equal to 0, we have that:
y^{2}  + y + c =  (y - 6)^{2}  + (y - 6) +c
Solve for y:
y^{2} +y +c = y^{2} - 12y + 36 + y - 6 +c \\ y + 12y - y = 30 \\ y =  \frac{5}{2}
Plug in y = 5/2 into original quadratic equation and solve for c:
(  \frac{5}{2}) ^{2} +  \frac{5}{2}  +c = 0 \\  c= - \frac{5}{2}  -  \frac{25}{4}  \\ c = - \frac{35}{4}
So, the answer is c = -35/4
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3 years ago
A church raffle has 25 cash prizes. If 350 tickets were sold for the raffle what is the probability of NOT winning a cash prize?
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OleMash [197]

Answer:

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Step-by-step explanation:

All triangles have a property that the sum of two side lengths is greater than the remaining side length.

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Answer:

This proof involves the definitions of congruence and supplementary angles, as well as some of the properties of equality.

 

∠1 and ∠2 are supplementary    // given

∠3 and ∠4 are supplementary    // given

∠1 ≅ ∠3    // given

 

m∠1 + m∠2 = 180°    // definition of supplementary angles

m∠3 + m∠4 = 180°    // definition of supplementary angles

 

m∠1 + m∠2 = m∠3 + m∠4    // transitive property of equality

 

m∠1 = m∠3    // definition of congruent angles

 

m∠1 + m∠2 = m∠1 + m∠4    // substitution property of equality (replaced m∠3 with m∠1)

 

m∠2 = m∠4    // subtraction property of equality (subtracted m∠1 from both sides)

 

∠2 ≅ ∠4    // definition of congruent angles

hope this helps

Step-by-step explanation:

4 0
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