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Blizzard [7]
3 years ago
9

Prove that there are no solutions in integers x and y to the equation 2x^2 + 5y^2 = 14

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0
Solve the equation for y using the formula for slope: y + mx + b

2x^2 + 5y^2 = 14
5y^2 = -2x^2 + 14
y^2 = -2/5x^2 + 14/5
y = the sq root of -2x^2/5 + 14/5

There is no integer solution to the square root of a negative number.
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If the lengths of the legs of a right angle are 5 and 7, what is the length of the hypotenuse?
Natalija [7]

Answer:

7^2 + 5^2 = 49 + 25 = 74

hypotenuse = square root of 74

Answer is B

Step-by-step explanation:

6 0
3 years ago
A bakery mixes cookie dough in large batches. For chocolate chip cookies,10 cups of sugar and 20 cups of flour are needed. Write
Keith_Richards [23]

Answer:

1 cup of sugar for every 2 cups of flour 1:2

Step-by-step explanation:

4 0
3 years ago
The standard deviation of the lifetime of a particular brand of car battery is 4.3 months. A random sample of 10 of these batter
Anuta_ua [19.1K]

Answer:

d. 0.538

Step-by-step explanation:

Given information.

Standard deviation is 4.3

Random sample of 10

Consider the following calculations

P (sample mean is within 1 month of population mean)=

P(-1*sqrt(10)/4.3 <Z<sqrt(10)/4.3)=P(-.735<Z<0.735)

=0.538

7 0
4 years ago
Use a trigonometric identity to find the indicated value in the specified quadrant.
aleksandr82 [10.1K]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2782751

_______________


Cosine and secant functions are reciprocal, which means

\mathsf{sec\,\theta=\dfrac{1}{cos\,\theta}}


So, if  \mathsf{cos\,\theta=\dfrac{3}{8},}  then

\mathsf{sec\,\theta=\dfrac{1}{~\frac{3}{8}~}}\\\\\\&#10;\mathsf{sec\,\theta=\dfrac{8}{3}\qquad\quad\checkmark}


I hope this helps. =)


Tags:   <em>cosine secant cos sec relation reciprocal trig trigonometry</em>

7 0
3 years ago
Which answer choice states the range of the following
ankoles [38]
<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.

Remember that for any relation, we have a set A that matches the the domain (also called the set of inputs) of the function and the set B that contains the range (also called the set of outputs).

Suppose our relation is:

y=-10+x \\ \\ For \ x=1,2,3,4,5

So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:

\text{If x=1} \\ \\ y=-10+1=-9 \\ \\ \\ \text{If x=2} \\ \\ y=-10+2=-8 \\ \\ \\ \text{If x=3} \\ \\ y=-10+3=-7 \\ \\ \\ \text{If x=4} \\ \\ y=-10+4=-6 \\ \\ \\ \text{If x=5} \\ \\ y=-10+5=-5

So in this context, the correct option is:

B) (-9,-8, -7, -6, -5}

6 0
3 years ago
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