Answer:
23x = -115
Step-by-step explanation:
In the substitution method, you must solve for 1 variable in 1 equation to replace it in the other equation. For the system:
2x - 7y = 4
3x + y = -17
Solving for y in the second equation:
y = -17 - 3x
Replacing y in the first equation:
2x - 7(-17 - 3x) = 4
2x + 119 + 21x = 4
23x = -115
This is the new equation after use the substitution method.
Answer:
26 meters
Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.
You can consider the triangle (as on in the picture) and apply to it composition of two transformations:
1. reflection about the line y=x to form ΔA'B'C' and translation 1 unit right and 5 units up to form ΔA''B''C'';
2. translation 1 unit right and 5 units up to form ΔA'B'C' and reflection about the line y=x to form ΔA''B''C''.
You can see that results are different.
On added picture blue colour responds to composition of transformations 1 and red colour to composition of transformations 2.
The cosine is the ratio of hypotenuse and base. Then the measure of the angle ∠L will be 60°.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right-angle triangle is given below.
The length of the hypotenuse is 16 and the base length is 5.
Then the measure of the angle ∠L will be
cos L = 5 / 10
cos L = 1 / 2
L = cos⁻¹ (1 / 2)
L = 60°
More about the trigonometry link is given below.
brainly.com/question/22698523
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