If it’s 3 3/8 you multiply the denominator by the coefficient and add the numerator and then keep the same denominator so it would be 27/8
Answer:
The triangle's perimeter is 61.77 inches.
Step-by-step explanation:
Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:
Isosceles triangle = 2 equal sides
To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.
(9/2) ^ 2 + 26 ^ 2 = X ^ 2
4.5 ^ 2 + 26 ^ 2 = X ^ 2
20.25 + 676 = X ^ 2
√ (20.25 + 676) = X
√696.25 = X
26.38 = X
26.3865 x 2 + 9 = X
52.77 + 9 = X
61.77 = X
Therefore, the triangle's perimeter is 61.77 inches.
Answer:
(h+8)^2 + ( y +1)^2 = 9
Step-by-step explanation:
The equation of a circle can be written as
(x-h) ^2 +(y-k) ^2 = r^2
where (h,k) is the center and r is the radius
(h- -8)^2 + ( y - -1)^2 = 3^2
(h+8)^2 + ( y +1)^2 = 3^2
(h+8)^2 + ( y +1)^2 = 9
Answers:
- C) x = plus/minus 11
- B) No real solutions
- C) Two solutions
- A) One solution
- The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.
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Explanations:
- Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
- There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
- The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
- We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
- Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
