Answer:
y = (-2/5)x - 2
Step-by-step explanation:
One way to attack this problem is to interchange the coefficients of x and y and change the sign of one to +: 5x - 2y = -6 becomes 2x + 5y = c. Solving for the slope, m, we get 5y = -2x + c first, and then y = (-2/5)x + D.
Subbing 5 for x and -4 for y, we now have -4 = (-2/5)(5) + D.
Then -4 = -2 + D, so that D = -2.
The desired equation is thus y = (-2/5)x - 2.
Check: Does this pass through (5, -4)? Is -4 = (-2/5)(5) - 2 true? Yes.
Is the slope -2/5 the negative reciprocal of 5/2? Yes, it is.
Answer:
The total distance around the canvas painting is 60 cm.
Step-by-step explanation:
The total distance around the canvas painting is 60 cm, we know this because, to find the perimeter of a square you add the length of all 4 sides together. To find the length of 1 side we take the square root of the area which is 196 cm², this equals 14 cm. To find the perimeter we add all 4 sides together, so 14+14+14+14=60 cm.
The answer is: [D]: " 157" .
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Explanation:
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g(x) = 8x² + 9x − 7 ;
g(4) = 8(4²) + 9(4) <span>− 7 ;
</span>
= 8(4*4) + 36 <span>− 7 ;
</span>
= 8(16) + 36 <span>− 7 ;
</span>
= 128 + 36 <span>− 7 ;
</span>
= 164 − 7 ;
= <span>157 .</span>
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The answer is: [D]: " 157" .
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10:30 because an hour before 11:20 is 10:20, but it was only 50 minutes, so add 10 minutes to 10:20 , and there you have it, 10:30.
Interior angles on parallel lines cut by a traversal are supplementary (they add up to 180°). These can be identified as "c" angles, due to their shape. Knowing this, we can figure out the value of x:
7x+(2x+36)=180
7x+2x+36=180
Simplify the equation
9x+36=180
Collect like terms
9x=144
Divide by 9 on both sides to isolate x
x=16
