Answer:
x=-7
Step-by-step explanation:
9x + 16 = 4x - 19
Subtract 4x from each side
9x-4x + 16 = 4x-4x - 19
5x+16 = -19
Subtract 16 from each side
5x+16 -16 = -19-16
5x = -35
Divide each side by 5
5x/5 = -35/5
x = -7
Answer:
Final answer is x=4, y=7.
Step-by-step explanation:
Questions says to use the graph to determine the number of solutions the system has. where system of equations are x=4 and y=x+3
any equation of the form x=k is a vertical line crossing x-axis at k.
So x=4 is a vertical line crossing x-axis at 4.
y=x+3 has slope m=1 and y-intercept b=3
So it passes through point (0,3) and for slope m=1, rise 1 up then 1 right to get new point.
Then final graph is given as shown in the picture.
We can see that both lines intersect at point (4,7).
Hence final answer is x=4, y=7.
Answer:
y = - 0.8
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition when y = - 4, x = 10, then
- 4 = 10k ( divide both sides by 10 )
- 0.4 = k
y = - 0.4x ← equation of variation
When x = 2 , then
y = - 0.4 × 2 = - 0.8
Answer:
Yes, there are infinite similar triangles with the same three angles and different side lengths
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
There are infinite similar triangles with the same three angles and different side lengths
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