We will build the equation in the form of y = mx + b where 'm' is the slope and 'b' is the y-intercept.
We know the slope and we know the where the line intercepts the y-axis.
The answer:
y = 1x + -1
Because the coefficient of "1x" is just one we can simplify to the final answer:
y = x + -1
Answer:
9825
Step-by-step explanation:
X is the number
<span>The sum of two numbers is 11, so other number is : 11 - x
</span><span>The sum of their squares is 65
</span>
x^2 + (11 - x)^2 = 65
x^2 + 121 - 2(x)(11) + x^2 = 65
2x^2 - 22x + 121 = 65
2x^2 - 22x + 121 - 65 = 0
2x^2 - 22x + 56 = 0
2(x^2 - 11x + 28) = 0
2(x - 7)(x -4 ) = 0
x - 7 = 0
x = 7
x - 4 =0
x =4
answer: the numbers are 4 and 7
double check:
<span>sum of two numbers is 11:
4 + 7 = 11
</span><span>The sum of their squares is 65
</span><span>4^2 + 17^2 = 16 + 49 = 65
</span>
Answer:
9/64
Step-by-step explanation:
For similar triangles, the ratio of areas is the square of the ratio of corresponding sides.
__
The ratio of areas is (3/8)² = 9/64.