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LenaWriter [7]
3 years ago
8

How many solutions does the following equation have?

Mathematics
1 answer:
Vilka [71]3 years ago
8 0
A-Infinite. If you distribute the 4 to the 2x+3 you get 8x+12-7=8x+5. This simplifies to 8x+5=8x+5 which means no matter what the value of x is, the two sides of the equation will be equal to each other.
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Jim drove 204 miles in 4 hours. If he can keep the same pace how long will it take him to drive 918 miles
SSSSS [86.1K]
18 hours.

Proportions and stuff.

\frac{204}{4} = \frac{918}{x}

Cross multiply,

204x = 918 * 4

204x = 3672
/204      /204
x = 18

18 hours.
6 0
3 years ago
Is (1,3) a solution of y = 3x2?
pickupchik [31]
No this is the awnser-3x+y=2
8 0
3 years ago
Ms. Lynch has 21 coins in nickels and dimes.
bulgar [2K]

Answer:

Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns    x +   y =   21  5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105  5x + 10y =  165 Now we combine (add) the equations, which eliminates x altogether.  5y = 60   ...   y = 12 From there, x + 12 = 21  ...  x = 21-12  ...  x = 9 You should double check.  Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.

4 0
2 years ago
Prove that a triangle with the sides a - 1 cm to root under a ​
vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.  

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm  

Hence,

{AB}^2 = (a -1)^2 

Now We know that

(a- b)^2 = a^2+b^2 - 2ab

So;

{AB}^2= a^2 + 1^2 -2\times a \times1

{AB}^2 = a^2 + 1 -2a

Now;

{BC}^2 = (2\sqrt{a})^2= 4a

Also;

{CA}^2 = (a + 1)^2

Now We know that

(a+ b)^2 = a^2+b^2 + 2ab

{CA}^2= a^2 + 1^2 +2\times a \times1

{CA}^2 = a^2 + 1 +2a

{CA}^2 = AB^2 + BC^2

[By Pythagoras theorem]

a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a

Hence, {CA}^2 = AB^2 + BC^2

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0
3 years ago
The social science that deal with the behavior and thinking of organisms <br> Yes
LUCKY_DIMON [66]

I think it's psychology.

6 0
3 years ago
Read 2 more answers
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