Answer:
inside
√((5-(-5))^2+((-24)-(-8))^2)=√(10^2+16^2)=√356＜25
Answer:
x = 9
Step-by-step explanation:
First step, divide both sides by pi to get rid of it entirely; you should be left with x - 8 = 1 (because when you divide a value by itself, you always get 1, so pi divided by pi gives you 1)
Second step, add 8 to both sides, leaving you with x = 9
Answer:
D is false
Step-by-step explanation:
f(x) = -2x2 + 4x + 6 should be written with a " ^ " to indicate exponentiation:
f(x) = -2x^2 + 4x + 6.
Because of the - sign, we know that the graph of this function opens down, so there is a maximum at the vertex. We can determine the x-value at the vertex by using the formula x = -b/(2a), which here is x = -4/(2*-2), or 1.
Evaluating f(x) = -2x^2 + 4x + 6 at x = 1, we get -2 + 4 + 6, or 8. So statement A is true: there's a max at (1, 8). This is also the vertex of the graph.
Let's now look at C and D. We evaluate f(x) at x = 3 and x - 2. If the output (y) value is 0, we know we have an x - intercept:
f(3) = -2(9) + 4(3) + 6 = 0. Yes, C is true, (3, 0) is an x-intercept.
f(-2) = -2(4) - 8 + 6 is not 0. Therefore D is false; (-2, 0) is not an x-intercept.
Look at B: Let x = 0 and find y: it's 6. Thus, (0, 6) is the y-intercept. B is true.
Answer:
11 and 2
Step-by-step explanation:
Answer:
B. the lower the father's blood sugar level the lower the son's blood sugar level
Step-by-step explanation:
Correlation coefficient is the measure of relationship or association between two variables. It ranges between -1.0 and 1.0, negative correlation coefficient(-1.0 to 0) means there is negative relationship between the two variables, an increase in one variable leads to a decrease in the other. Positive correlation coefficient (0 to 1.0) means that there is a positive relationship between the two variables, an increase in one variable leads to an increase in the other variable. And correlation coefficient of 0.0 shows that there is no relationship between the two variables. For the case above, the correlation coefficient of 0.84 shows that there is a strong positive correlation coefficient between father's blood sugar levels and son's blood sugar levels, so the lower the father's blood sugar level the lower the son's blood sugar level
