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3 years ago

Write the equation of the line that passes through the point ( -6 , 2 ) and is parallel to the line y = 1/2x + 4.

1 answer:

8 0

Parallel lines need the same slope, and for y = 1/2x + 4, it is 1/2.

Let's solve for b.

2 = 1/2(-6) + b
2 = -3 + b
Add 3 on both sides.
5 = b

y = 1/2x + 5

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I need help!! It’s proving trapezoids theorems

sweet [91]

Because ABCD is an isosceles trapezoid, the angles A and D are congruent.

BA and CD are congruent (given) and AD is congruent to itself (reflexive property).

Then triangles BAD and CDA form a pair of SAS triangles, so they are congruent.

BD and CA are corresponding parts in those triangles, so they are congruent (CPCTC).

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3 years ago

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Determine the next step for solving the quadratic equation by completing the square

GaryK [48]

Answer:

The two solutions are: $x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

The next and every step are below.

Explanation:

1. $-3=-2x^2+2x$ : Given (addition property / add - 3 to both sides)

2. $-3 = - 2(x^2-x)$ : Given (commom factor - 2)

3. $-3-1/2=-2(x^2-x+1/4)$

To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.

Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.

4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

$-7/2=-2(x-1/2)^2$

5. Divide both sides by - 2 to get the next expression:

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6. The last step is to extract squere root from both sides of the equality:

$(x-1/2)=+/-\sqrt{\frac{7}{4}}\\ \\ x-1/2=+/-\frac{\sqrt{7} }{2}\\ \\ x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

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3 years ago

I need this fast it’s due tonight

defon

Answer:

Step-by-step explanation:

diameter is just radius times 2

hope this helps!

please mark me brainliest! thanks!

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3 years ago

Annalise makes rectangular patchwork quilts out of leftover fabric scraps. The first scrap she is using to make a quilt has a wi

tekilochka [14]

Answer:

Area = $f(x)=10x^2 + 31x + 15$

Step-by-step explanation:

The function is the area function of a rectangle.

Area of Rectangle = Length * Width

Length of fabric scrap = 5x

Length of rectangular patchwork will be 5x + 3

and

Width of fabric scrap = 2x

Width of rectangular patchwork will be 2x + 5

THus, Area = (5x+3)(2x+5) square feet.

Let's expand:

$Area = f(x) = (5x+3)(2x+5)\\f(x)=10x^2 + 25x + 6x + 15\\f(x)=10x^2 + 31x + 15$

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3 years ago

There is an 80% chance of rain tomorrow and a 20% chance the football game will be postponed. What is the probability that it wi

OlgaM077 [116]

First turns those into fractions, now you should have 4/5 and 1/5.
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4 years ago

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