Answer: By adding 2 to y and subtracting x by 3.
Step-by-step explanation: Let’s use the equation y = x since it’s simple. In order to translate an equation anywhere to the right, you have to subtract x by a unit. Since it’s 3 units, the equation is now y = x - 3. To translate an equation down, you have to add a unit to y. Since the questions asks for two units, add 2 to y. The equation should now be y + 2 = x - 3.
Answer:
By SSS Test
Step-by-step explanation:
Since the sides of both the triangle are equal
By SSS test, we can say that the both the triangles are congruent
Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work
<em><u>Answer:</u></em>
Option D
The height of tree is 20 feet tall
<em><u>Solution:</u></em>
From given question,
Shadow of tree = 30 feet
Height of tree = ?
Height of student = 6 feet
Shadow of student = 9 feet
We have to find the height of tree
We can solve the sum by proportion

This forms a proportion and we can solve the sum by cross multiplying

Thus height of tree is 20 feet tall
The equations are,
3x + y = 8 ——— 1
4x - 2y = 3 ——— 2
Multiply equation 1 by 2
Which gives,
6x + 2y = 16 ——— 3
Now , add equation 2 and equation 3
Which gives,
10x = 19
From there , x = 19/10
Therefore x = 1.9
Now substitute x = 1.9 in the equation 1
So the equation becomes ,
3*1.9 + y = 8
From that ,
y = 8 - 5.7
Therefore , y = 2.3
So , x = 1.9 and y = 2.3.
Okay?