Answer:
x + √x - 6
Step-by-step explanation:
Multiply out (√x-2)(√x+3) using the FOIL method:
Multiply the First terms: x
Multiply the Outside terms: 3√x
Multiply the Inside terms: -2√x
Multiply the Last terms: -6
Now combine these results. We get:
x + √x - 6
Answer:
NPOM ≅ VUTS
OPNM ≅ TUVS
Step-by-step explanation: Given: two quadrilaterals having verticals P, N, O,M and S,T,V,U are congruent, where, OM is congruent or equal to TS and in quadrilaterals NPOM and VUTS-
since, the condition and, side UV=side OM follow for the above quadrilateral. (According to the figure)
then we can say according to the property of quadrilateral, their corresponding sides must be congruent. so they are congruent.
Answer:
x=9
Step-by-step explanation:
3x-2=25
Add 2 to each side
3x-2+2=25+2
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
x = 9.21° or x = 22.5°
cot²2x – 4cot2x + 3 = 0
Let cot2x = y
y² - 4y + 3 = 0
Factorizing, we have
y² - y - 3y + 3 = 0
y(y - 1) -3(y - 1) = 0
(y - 1)(y - 3) = 0
y - 1 = 0 or y - 3 = 0
y = 1 or y = 3
Since cot2x = y
cot2x = 1 or cot2x = 3
1/tan2x = 1 or 1/tan2x = 3
tan2x = 1 or tan2x = 1/3
2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)
2x = 45° or 2x = 18.43°
x = 45°/2 or x = 18.43°/2
x = 22.5° or x = 9.21°
So, x = 9.21° or x = 22.5°
Learn more about cotx here:
brainly.com/question/15546709
Answer:
A = 20% B = 36%
Step-by-step explanation:
35 in total bought
2/10 = who bought model A = 20%
16+9 = 25 => 9/25 who bought model B = 36%
