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igomit [66]
4 years ago
14

Solve the system by the substitution method. x^2+y^2=61 x-y=1

Mathematics
1 answer:
oee [108]4 years ago
8 0

Answer:

x = -3

y= -3

point form ( -3, -3)

Step-by-step explanation:


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What is the solution to the equation 1/h-5+2/h+5=16/h^2-25
Luba_88 [7]

9514 1404 393

Answer:

  h = 7

Step-by-step explanation:

Perhaps you want the solution to ...

  1/(h -5) +2/(h +5) = 16/(h^2 -25)

Parentheses are required around denominators that have math operations.

Multiply by (h^2-25) and solve the linear equation.

  \displaystyle\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}\qquad\text{given}\\\\(h+5)+2(h-5)=16\qquad\text{multiply by $h^2-25$}\\\\3h-5=16\qquad\text{simplify}\\\\3h=21\qquad\text{add 5}\\\\\boxed{h=7}\qquad\text{divide by 3}

5 0
3 years ago
Between which two integers does -√46 appear on the number line please write in words
HACTEHA [7]
<h3>Answer:   -√46 is between -7 and -6</h3>

==========================================================

Explanation:

List out the perfect squares

  • 1^2 = 1
  • 2^2 = 4
  • 3^3 = 9
  • 4^2 = 16
  • 5^2 = 25
  • 6^2 = 36
  • 7^2 = 49
  • 8^2 = 64

and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.

We can say 6^2 < 46 < 7^2

Applying the square root to all three sides leads us to 6 < sqrt(46) < 7

Now multiply all three sides by -1. This will flip the inequality signs

We go from

6 < sqrt(46) < 7

to

-6 > -sqrt(46) > -7

It might help to order things from smallest to largest to get this

-7 < -sqrt(46) < -6

This means -sqrt(46) is between -7 and -6 on the number line

See the diagram below.

8 0
3 years ago
Read 2 more answers
Please help me!!!!!!!​
iris [78.8K]

Answer:

7 lenth

Step-by-step explanation:

4 0
3 years ago
C(n)=-6+5(n-1)<br> find the 8th term in this sequence
Goryan [66]

Answer:

29

Just replace n by 8 ===> C(8) = -6+5(8-1) = - 6 + 5x7 = -6+35 = 29

Step-by-step explanation:

We have been given a sequence formula. We are asked to find the 8th term of our given sequence.

We know that an arithmetic sequence is in form A_n=a_1+(n-1)d, where,

A_n=\text{ nth term of sequence},

A_1=\text{ 1st term of sequence},

n = Number of terms in sequence,

d = Common difference.

To find the 8th term of our given sequence, we will substitute n=8 in our given formula.

c(n)=-6+5(n-1)

c(8)=-6+5(8-1)

c(8)=-6+5(7)

c(8)=-6+35

5 0
3 years ago
The graph of a linear function has a slope of 1/4 and passes through the point (1,3). What is the y-intercept of the function?
Vikki [24]

Answer:

B

Step-by-step explanation:

In slope intercept form, y = mx + b, the m is the slope, the b is the y intercept, and x and y can be subbed in from the point you are given of (1, 3).  We are told the slope, so everything we have fills in like this:

3=\frac{1}{4}(1)+b

Now we just need to solve for b:

3-\frac{1}{4}=b and

\frac{12}{4}-\frac{1}{4}=b so

b=\frac{11}{4}

8 0
4 years ago
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