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2 years ago

Write and solve an equation to find the value of x and the missing angle measures.

Mathematics

1 answer:

Degger [83]2 years ago

7 0

Answer:

Step-by-step explanation:

x+85+x+105=180°

2x+190=180

2x=-10

x=-5

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Find the value of x. PLEASE explain how you got your answer thanks!

Mnenie [13.5K]

Answer:

x = 96

Step-by-step explanation:

x + x - 5 + x - 11 + x - 8 = 360

4x - 24 = 360

4x = 360 + 24

4x = 384

x = 96

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2 years ago

1.01x10^4 decimal notation

marshall27 [118]

$1.01\times10^4=1.01\times10,000=1\underbrace{0100}_{4\to}=10,100$

Answer:

1.01 × 10⁴ - scientific notation

10,100 - decimal notation

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2 years ago

Factor the equation.

Kryger [21]

Hi!

The fully factored form of this equation is (3x+2)²

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2 years ago

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2 years ago

A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

$(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x = 16$

If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

$\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0$

The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

$k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}$

So, the parabola is negative between the two solutions:

$-6-5\sqrt{5}$

8 0

2 years ago

Write and solve an equation to find the value of x and the missing angle measures.​

Write and solve an equation to find the value of x and the missing angle measures.