system of equations (1,1)
put value of these x and y in equations
(x , y) = ( 1,1)
so this solution not satisfied equation 1
11( 1) + 3 (1) = 18
so 11 + 3 = 18
15 = 18 ( Left side not equal to right side )
(1,1) is not solution for 11x+ 3y=18
2. 4x+y = 5
put values (1,1)
4(1) + (1) = 5
5 = 5 { left side = right side )
so (1,1) is solution for 4x +y=5
Answer:
- <u><em>The missing length, x, is equal to 7 m.</em></u>
Explanation:
In the figure, the two triangles are similar because they show two pairs of congruent angles and one pair of different sides.
- The two upper vertices are marked each with a line which indicates that they are congruent, i.e. they have the same measure.
- Also, the small squares shown in each of the bases indicate that those two angles are right, i.e. they measure 90°.
- Since the two sides adjacent to the right angles have different lengths, the triangles are not congruent but similar.
By similarity, you can state that the corresponding parts keep the same ratio. Thus:
- x = 8m × 21 m / 24 m (muliply both sides by 8m)
- x = 21 m / 3 (simplify dividing numerator and denominator by 8m)
- x = 7 m (simplify dividing by 3)
Answer x = 7 m
Answer:
slope = - 6
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 15 = - 6(x + 7) ← is in point- slope form
with slope m = - 6
Answer:
The given equation 3x − 7 = 4 + 6 + 4x has one solution.
Step-by-step explanation:
Given : Equation 3x − 7 = 4 + 6 + 4x
We have to find the number of solutions of the given equation.
Consider the given equation 3x − 7 = 4 + 6 + 4x
Simplify, we have,
3x − 7 = 10 + 4x
Now subtract 3x both side, we hvae,
-7 = 10 + 4x - 3x
Simplify, we have,
- 7 = 10 + x
Subtract 10 both side, we have,
-7 - 10 = x
x = - 17
Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.
