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Stells [14]
2 years ago
13

Which number could be added to

Mathematics
1 answer:
Arturiano [62]2 years ago
3 0

The number which could be added to both sides of the equation to complete the square is; -2.25.

<h3>Which number could be added to both sides of this quadratic equation to complete the square?</h3>

The quadratic equations give in the task content is; 1=x²-3x. Hence, to express the equation by completing the square method; we have;

1 - 2.25 = (x -3/2)² - 2.25

Hence, the number which should be added to both sides of the equation is; -2.25.

Read more on completing the square;

brainly.com/question/10449635

#SPJ1

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The sum of 3 consecutive odd numbers is 183 ?
irina [24]

Answer:

The answer is 61.

Step-by-step explanation:

Let, the numbers are: x, (x+2), (x+4)

Now, x+x+2+x+4 = 183

3x + 6 = 183

3x = 177

x = 59

So, second number would be: (x+2) = (59+2) = 61

6 0
3 years ago
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In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2&#10;\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;-------\\&#10;c=2a\\&#10;a=a\\&#10;b=5&#10;\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25&#10;\\\\\\&#10;a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}&#10;\\\\\\&#10;\textit{and then we can \underline{rationalize the denominator} }&#10;\\\\\\&#10;a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
What is the slope of (3, 3) and (-6, -3)
Veronika [31]

Answer:

m=2/3

Step by Step Explanation:

x1,y1= 3,-6

x2,y2=3,-3

m={-3-3}           (Fraction Form)

    {-6-3}

Refine:

m={2}{3}

7 0
3 years ago
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Write the equation for a line that has an initial value of 3 and 3/4 as it’s rate of change
frutty [35]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.

(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{3}{4}}(x-\stackrel{x_1}{0})\implies y=\cfrac{3}{4}x+3

3 0
3 years ago
Solve 2/3 divided by 4/5<br><br> a.6/15<br> b.6/8<br> c.8/15<br> d.5/6
Bumek [7]

Answer:

d.5/6

Step-by-step explanation:

2/3÷4/5

2/3×5/4

5/6

6 0
3 years ago
Read 2 more answers
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