You take the first equation and make a value for y. So 6x + y =7 change it to :
y = -6x + 7
Now in the second equation replace the “y” with -6x +7 this is what it means to use substitution method . Your combined equation will now be :
8x + 9(-6x + 7) =17
Now do distributive property and you get :
8x + -54x +63 =17
Now combine like terms ;
-46x +63 =17
-46x =-46
x = 1
Now replace 1 for X value and we can get the value of Y .
Y=1
X=1
Answer: В. Same distance and same direction
Step-by-step explanation:
A translation is a rigid transformation that maps each point of the original figure to a new position by the same distance and in the same direction.
It does not change the size or shape of the image.
Thus the correct statement relates to translation is "Same distance and same direction"
Hence, the correct option is B.
<h3>
Answer:</h3>
- Not appropriate
- Appropriate
- Not appropriate
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Step-by-step explanation:</h3>
1st Question
The transformation g(x) = f(x -h) +k translates a function h units to the right and k units upward. Your expression has (h, k) = (-2, -4), so the graph of the function will be translated 2 units left and 4 units down.
A distinctive feature of the cube root curve is the vertical spot normally at point (0, 0). You're looking for the graph that has that relocated to (-2, -4). Graph A matches that.
2nd Question
- The method described is a reasonable one for choosing a random sample of theater patrons, but there is no reason to believe theater patrons are representative of all drivers in the city. The method is not appropriate.
- Provided the persons in the study are representative of the demographic of interest, assigning them to study groups based on the flip of a coin is appropriate.
- The variable under study is previous exposure to chicken pox, so members of the study groups need to be chosen on that basis. Participants in the study need to be carefully selected to control for all other variables. The group assignment described is not appropriate.
Answer:
The given triangle ABC is a SCALENE RIGHT - ANGLED TRIANGLE
Step-by-step explanation:
Here, in the triangle ABC
∠A = 90° , ∠B = y+ 40° and ∠C = 3y - 10°
Now, by ANGLE SUM PROPERTY of a triangle:
∠A + ∠B+ ∠C = 180°
or, 90° + ( y+ 40°) +( 3y - 10°) = 180°
or, 4y + 120° = 180°
⇒ 4y = 180° - 120° = 60°
or, y = 60° / 4 = 15 ⇒ y = 15
⇒ ∠B = y+ 40° = 55°
and ∠C = 3y - 10° = 3(15) -10 = 35°
Now, here ∠A = 90° , ∠B = 55° and ∠C = 35°
Since here ∠B ≠ ∠C ≠ 45°
Hence, the given triangle ABC is a SCALENE RIGHT ANGLED TRIANGLE