Answer:
- (-11.70, -2.05), (4.70, 5.10)
Step-by-step explanation:
<u>Given equations</u>
<u>Solving the first equation for x:</u>
- (x+5)(x+2)=65
- x^2 + 7x + 10 = 65
- x^2 + 7x - 55 = 0
- x = (-7 ± √(49+4*55))/2
- x = -11.70, x = 4.70
<u>Then solving for y:</u>
- y= 24/(-11.7) = -2.05
- y = 24/4.7 = 5.10
<u>Solution set: </u>
- (-11.70, -2.05), (4.70, 5.10)
Answer:
∠CAD = 44⁰
∠ACD = 44⁰
∠ACB = 136⁰
∠ABC = 22⁰
Step-by-step explanation:
To calculate m∠CAD;
Line AD = Line DC,
thus ∠CAD = ∠ACD = ¹/₂(180 - 92°) [sum of angles in a triangle.]
∠CAD = ¹/₂ x 88 = 44⁰
Also, ∠ACD = 44⁰
To calculate m∠ACB;
∠ACB = 180 - ∠ACD [Sum of angles on a straight line]
∠ACB = 180 - 44
∠ACB = 136⁰
To calculate m∠ABC;
Line CB = Line CA
Thus, ∠ABC = ∠CAB = ¹/₂(180 - ∠ACB) [sum of angles in a triangle.]
∠ABC = ¹/₂(180 - 136)
∠ABC = ¹/₂ x 44
∠ABC = 22⁰
Answer:
11
Step-by-step explanation:
Данный,
x + 7 = 18
=> x = 18 - 7
=> <u>x = 11 (Отвечать)</u>
If x=-3 is a root, then x+3=0 and x+3 is a factor of the polynomial.
<span>If x=4 is a root, then x-4=0 and x-4 is a factor of the polynomial
Since this is a double root, there are two factors of (x-4) </span>
Answer:
Each salesperson sold 89 cars last year.
Step-by-step explanation:
13x = 1157 Set up an equation with an x-varible in place of the number of cars to be found
13x/13 = 1157/13 Divide 1157 by 13
x = 89