Answer:
-5.1
Step-by-step explanation:
Subtract 5.1 from both sides.
Answer:
y = -½x + 4
Step-by-step explanation:
1 = -½[6] + b
-3
4 = b
2y + x = 4 →2y = -x + 4 >> y = -½x + 2 [parallel to the above equation]
Parallel lines have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>].
I am joyous to assist you anytime.
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Answer:
Option b
Explanation:
To solve this problem you need to plug in the values provided and determine if they make the equation true.
Step 1 - Plug in the values for x and y given in option a. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
9 = 3(2) + 1
9 = 7 {not true}
Since the second ordered pair does not make the equation true, this is not the correct answer.
Step 2 - Plug in the values for x and y given in option b. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
7 = 3(2) + 1
7 = 7 {true}
y = 3x + 1
19 = 3(6) + 1
19 = 19 {true}
Since all of the ordered pairs given in Option b make the equation true, this is the correct answer. To double check, you can do the same process for option c to make sure it is not true.
Step 3 - (Optional step) Plug in the values for x and y given in option c. Determine if all values make the equation true.
y = 3x + 1
-1 = 3(0) + 1
-1 = 1 {not true}
Since the first ordered pair given does not make the equation true, this is not the correct answer.
Answer:
- The surface area of Cylinder B is 16 times the surface area of Cylinder A
Step-by-step explanation:
<u>Note</u>: <em>It is assumed we are looking at the total surface area (but the answer would be same for both cases)</em>
<h3>Given</h3>
- Cylinders A with radius - r, height - h,
- Cylinder B with radius - 4r, height - 4h.
<h3>To find </h3>
- The ratio of total surface areas of cylinder B to A
<h3>Solution</h3>
Total surface area of cylinder A is:
Total surface area of cylinder B is:
Find the ratio of areas:
Answer:
There are 10 cards in total.
The probability of choosing card with the number 4 is 1/10.
The probability of choosing card with the number 1 is 2/10 = 1/5 (since there are 2 cards with the digit 1 - 1, 10)