1. false because they have the same slope and y-intercept so they have infinite number of solutions
2. true
Use the point-slope formula
y-y1=m(x-x1)
y-1=-3(x-1)
y-1=-3x+3
y=-3x+4
<u>Answer:</u>
- The value of c is 2√2 or about 2.8.
<u>Step-by-step explanation:</u>
<u>We can find the hypotenuse (c) with the help of Pythagoras Theorem.</u>
- => c² = 2² + 2²
- => c² = 4 + 4
- => c² = 8
- => c = √8
- => c = √2 x 2 x 2
- => c = 2√2
<u>If you want further simplification, seek for explanation below.</u>
- => c = 2√2
- => c = 2 x √2
- => c = 2 x 1.414
- => c = 2.828 = 2.8 (Estimated)
Hence, <u>the value of c is 2√2 or about 2.8.</u>
Hoped this helped.

Answer:
a) 22 batches
c) 7.3 batches
Step-by-step explanation:
a) It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
0.25 cup = 1 batch
5.5 cup = x
Cross Multiply
0.25 cup × x = 5.5 cup × 1 batch
x = 5.5 cup × 1 batch/0.25 cup
x = 22
I can make 22 batches of chocolate chip cookies. You may use the scratchpad to show your work.
(b) Lemon Cookies It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
0.75 cup = 1 batch
5.5 cup = x
Cross Multiply
0.75 cup × x = 5.5 cup × 1 batch
x = 5.5 cup × 1 batch/0.75 cup
x = 7.3 batches
I can make 7.3 batches of lemon cookies. You may use the scratchpad to show your work.
Given:
A figure of a circle.
To find:
The correct statement for the given figure.
Solution:
According to the tangent secant theorem, if two tangents or two secants are drawn to the circle from an exterior point, then the measure of angle between the tangents or secants is:


In the given figure, the exterior angle is 32 degrees, larger arc is QAI and smaller arc is QI.

Therefore, the correct option is C.