Answer:
y = - 3x + 11
Step-by-step explanation:
the altitude is a line from the vertex A drawn perpendicular to the opposite side BC
calculate the slope of BC using the slope formula
m = 
with (x₁, y₁ ) = B (- 7, 3 ) and (x₂, y₂ ) = C (- 1, 5 )
= 
= 
= 
= 
given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = - 3x + c ← is the partial equation
to find c substitute A (4, - 1 ) into the partial equation
- 1 = - 12 + c ⇒ c = - 1 + 12 = 11
y = - 3x + 11 ← equation of altitude from A
Answer: Y and Y'' are congruent after the translation, but not after the dilation.
Step-by-step explanation:
We know that we generally prefer rigid transformations if want to create congruent images.
There are three basic kinds of rigid transformations:
1) rotation 2) reflection 3) translation
So, they all create congruent images.
But a dilation does not create congruent images because it creates an image of similar same shape as the original but not the same size.
Given : Triangle XYZ is translated and then dilated by a scale factor of 4 centered at the origin.
Then, the correct option is "Y and Y'' are congruent after the translation, but not after the dilation."
Answer: No, No, Yes, Yes, Yes
<u>Step-by-step explanation:</u>
At 2:15 the temperature is 7°
It decreases 3° every 15 minutes ⇒ -3
Here is a table:
time | temperature
2:15 | 7
2:30 | 7 - 3 = 4
2:45 | 7 - 3 - 3 = 1
3:00 | 7 - 3 - 3 - 3 = -2
3:15 | 7 - 3 - 3 - 3 - 3 = -5
3:30 | 7 - 3 - 3 - 3 - 3 - 3 = -8
Do you see a pattern? This can be written as:
7 + (-3) + (-3) + (-3) + (-3) + (-3) + (-3)
7 - (3)(5)
7 + 5(-3)
Answer:
20
Step-by-step explanation:
GF = 3
HF = 9
GE = 14
HG = 9 - 3 = 6
6 + 14 = 20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
