Answer:
Answer:
x= 29/11 or y= 25/11
Step-by-step explanation:
2x - y= 3 ...........equation 1
x + 5y= 14 ............equation 2
Make x the subject of the formula in equation 2
x= 14 - 5y ..............equation 3
Substitute x=14 - 5y in equation 1
2(14- 5y) - y=3
28 - 10y - y=3
Collect like terms
-10y - y=3 - 28
-11y= -25
divide both sides by coefficient of y
-11y/-11 = -25/-11
y= 25/11
Substitute y= 25/11 in equation 3
x=14 - 5(25/11)
x= 14 - 125/11
x= 29/11
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given that endpoints of a diameter at the points (7,2) and (-9,5).
Center of the circle is the mid point of diameter
So, first find the mid point of diameter
Formula : 

Substitute the values in formula


So, center of circle = (h,k )=(-1,3.5)
To find length of diameter :




Length of radius = r = 
Standard form of the equation of the circle : 
(h,k )=(-1,3.5)

Equation of the circle : 
Equation of the circle : 
Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is 
Answer:
x=7
Step-by-step explanation:
Equate the angles 7x-7 and 4x+14 and solve:
7x-7 = 4x+14
7x-4x = 14+7
3x = 21
x = 7
After Applying Laws of Exponents we can write as 
<h3>What is law of exponents ?</h3>
The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.
<h3>How are powers of powers multiplied?</h3>
Exponents with distinct bases and the same powers can be multiplied by multiplying the bases and writing the power outside of the brackets.
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Answer:
1 17/40
Step-by-step explanation:
5/8+4/5
We need to get a common denominator of 40
5/6 * 5/5 = 25/40
4/5*8/8 =32/40
25/40 + 32/40 = 57/40
57/40 = 40/40 + 17/40 = 1 17/40