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aniked [119]
3 years ago
6

Solve bġ using the Quadratic Formula: x^2 = 3x - 1

Mathematics
1 answer:
grigory [225]3 years ago
3 0

Answer:

x_{1}=(3+\sqrt{5})/2

x_{2}=(3-\sqrt{5})/2

Step-by-step explanation:

x^2-3x+1=0

x_{1}=(3+\sqrt{3^2-4*1*1})/2=(3+\sqrt{5})/2

x_{2}=(3-\sqrt{3^2-4*1*1})/2=(3-\sqrt{5})/2

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The cactus one I think is 0.875
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Lines m and n are parallel.<br><br> What is angle 2?<br><br> A. 39<br> B. 57<br> C. 67<br> D. 74
max2010maxim [7]

Answer: The correct answer is option C: 67

Step-by-step explanation: So we have four different lines intersecting at one point or the other and these are lines m, n, s and t. Also lines m and n are parallel, so we shall start from there. If lines m and n are parallel, then angle 74 along line n is equal to angle 9X + 2 along line m {corresponding angles are equal}. Therefore

9x + 2 = 74

9x = 74 - 2

9x = 72

Divide both sides of the equation by 9

x = 8.

Also the angle bounded by the intersection of lines m and s equals 74 {opposite angles are equal} because it’s opposite angle 9x + 2 and it’s also alternate to angle 74.

Looking at angle 5x - 1 along line t, substitute for the value of x

= 5(8) - 1

= 40 - 1

= 39

Therefore if angle 5x - 1 is calculated as 39, observe carefully that lines m, t and s intersect to form a triangle. The angles in the triangle are 39, 74 and S (labeled as angle 2). To calculate angle S,

S + 39 + 74 = 180 {Sum of angles in a triangle equals 180}

S + 113 = 180

Subtract 113 from both sides of the equation

S = 67

Therefore angle 2 equals 67 degrees.

5 0
4 years ago
Absolute 10.7 of percent 11
leva [86]

Answer:   = 11.88

This is a 3 step / 4 show workings.

10.7 + Percentage increase = 11%

10.7 + (11% × 10.7) =  10.7 + 11% × 10.7

(1 + 11%) × 10.7 = (100% + 11%) × 10.7

111% × 10.7 = 111 ÷ 100 × 10.7

111 × 10.7 ÷ 100 = 1,187.7 ÷ 100

11.877 ≈ 11.88

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3 years ago
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creativ13 [48]

Answer:

I got you, give me a few minutes

1st one: 6x+12+6y

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Step-by-step explanation:

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After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she ge
raketka [301]

Answer:

t = 1 1/4 hours

Step-by-step explanation:

Lets first make an equation to represent the situation. t + 1/2 = 1 3/4

Because we cant add fractions with different denominators we have to change 1/2 to 2/4.

Next, we need to isolate t. Subtract 2/4 from both sides of the equation to get 1 1/4.

t = 1 1/4.

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