Please help as quickly as possible (20pts)
1 answer:
Answer:
c) (-2, 6)
Step-by-step explanation:
Subtracting the second equation from the first gives ...
(y) -(y) = (x^2 +3x +8) -(2x +10)
0 = x^2 +x -2 . . . . . simplify
0 = (x -1)(x +2) . . . . factor
Solutions for x are 1 and -2. The corresponding y-values are ...
y = 2{1, -2} +10 = {2, -4} +10 = {12, 6}
The solutions are (1, 12) and (-2, 6). The only matching choice is (-2, 6).
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Answer:
x = 95
Step-by-step explanation:
Using the rule of logarithms
• x = n ⇔ x =
Given
(x + 30) = 3, then
x + 30 = 5³ = 125 ( subtract 30 from both sides )
x = 95
Answer:
b. about 63.9 units and 41.0 units
Step-by-step explanation:
In question ∠a= 29° and Side of a= 15 and b= 20
Using sine rule of congruence of triangle.
⇒
⇒
Using value of sin 29°
⇒
Cross multiplying both side.
⇒ Sin B=
∴ B= 41°
Now, we have the degree for ∠B= 41°.
Next, lets find the ∠C
∵ we know the sum total of angle of triangle is 180°
∴∠A+∠B+∠C= 180°
⇒
subtracting both side by 70°
∴∠C= 110°
Now, again using the sine rule to find the side of c.
⇒
Using the value of sine and cross multiplying both side.
⇒ C=
∴ Side C= 28.92.
Now, finding perimeter of angle of triangle
Perimeter of triangle= a+b+c
Perimeter of triangle=
∴ Perimeter of triangle= 63.9 units