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Vladimir79 [104]
2 years ago
12

(5x-6)(-x+4) using the box method

Mathematics
1 answer:
Sophie [7]2 years ago
4 0

Answer:

-5x²+26x-24

Step-by-step explanation:

(5x-6)(-x+4)

=5x(-x+4)-6(-x+4)

=-5x²+20x+6x-24

=-5x²+26x-24

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O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28°  ∠ACD=31°  &  line AB=AC .

According To the Question,

  • a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

  • b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

        thus , ∠ABC=76° .

  • c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°)  ⇔  104˚

   

  • d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre  

For Diagram, Please Find in Attachment  

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2 years ago
Please assist me with this problem: part 11​
Lady bird [3.3K]

Answer:

  a² = b² -w² +2wx

Step-by-step explanation:

The algebra is pretty straightforward. Expand the expression in parentheses and add x².

  b² -(w -x)² = e² = a² -x²

  b² -(w² -2wx +x²) = a² -x² . . . . . expand the square

  b² -w² +2wx -x² = a² -x² . . . . . . distribute the minus sign

  b² -w² +2wx = a² . . . . . . . . . . . . add x²

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