One way to find the slope-intercept form is to plug the given values into point-slope form, y - y_{1} = m (x - x_{1}), where x_{1} and y_{1} are the coordinate points and m is the slope. Then, you solve for y.
y - y_{1} = m (x - x_{1}) Plug in the values
y - (-4) = 34 (x - 5) Fix the minus negative four
y + 4 = 34 (x - 5) Use the Distributive Property
y + 4 = 34x - 170 Subtract 4 from both sides
y = 34x - 174
The slope-intercept form of the equation that passes through (5, -4) and has a slope of 34 is y = 34x - 174.
Answer:
3 a : 2 b = 6 : 1
Step-by-step explanation:
<em>
= 
</em>
<em>3 ( a + b) = 5 ( a - b)
</em>
<em>3 a + 3 b = 5 a - 5 b
</em>
<em>5 b + 3 b = 5 a - 3 a
</em>
<em>
8 b = 2 a
</em>
<em>
2 a = 8 b</em>
<em><u>a = 4 b</u></em>
<em>3 a = 3 × 4 b</em>
<em><u>3 a = 12 b</u></em>
<em>3 a: 2 b = 12 b : 2 b</em>
<em>3 a : 2 b = 6 : 1</em>
The probability of choosing a number that is not a multiple of 2 is P = 0.44
<h3 /><h3>How to find the probability?</h3>
We need to count the number of options for each digit.
- For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
- For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
- For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.
The total number of combinations is the product between the numbers of options:
C = 8*9*9 = 648
If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:
- For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
- For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
- For the third digit, we have 4 options {1, 3, 5, 7}.
C = 8*9*4 = 288
Then the probability of selecting a 3 digit number that is not a multiple of 2 is:
P = 288/648 = 0.44
If you want to learn more about probability, you can read:
brainly.com/question/251701
Sprry, I don't speak spanish, really wish I could've helped. If anyone reading this knows spanish, please comment and tell me what the question is asking.
we know that
The surface area of a cube is equal to
where
A is the area of one face of the cube
in this problem
Find the surface area
therefore
<u>the answer is</u>
of wrapping paper is needed to cover the box completely
