In a right triangle with 45 degree angles the two sides are the same length. The hypotenuse is the length of the sides x sqrt(2)
The length of x = 3 and y = 3
<u>Answer- </u>D. There is a strong negative association between the variables
<u>Solution-</u>
Properties of Correlation Coefficient
1- Its value ranges between -1 and 1.
2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.
3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.
4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.
5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.
As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)
So there is a strong negative association between the variables.
Answer:
Explanation:
The order of the letters naming the triangles is relevant. When it is said that <em>triangle ABC is similar to triangle MOP</em>, means that:
Therefore:
- ∡C = 102º (by substitution)
Now, you have two angles of triangle ABC and can find the third one:
- ∡B = 180º - 45º - 102º = 33º ← answer
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
In order to find this, start with two points that are on the line. We'll use (0, 1) and (1, 2). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(1 - 0)
m = 1/1
m = 1
Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.
y - y1 = m(x - x1)
y - 1 = 1(x - 0)
y - 1 = 1x
y = 1x + 1
Answer:
<em>No.</em>
Step-by-step explanation:
<em>5c-6=4-3c</em>
<em>5c-6+6=4-3c+6 Add six to both sides</em>
<em>5c=-3c+10 Simplify</em>
<em>5c+3c=-3c+10+3c Add 3c to both sides</em>
<em>8c=10 Simplify</em>
<em>8c/8=10/8 Divide both sides by 8</em>
<em>c=5/4 <<< Simplify and you get that</em>
<em>So they (Student A) are/is not correct.</em>
Hope this helps, have a good day. c;
