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3 years ago

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If EF= 2x-12, FG=3x-15 and EG= 23 find EF I need help

1 answer:

Anarel [89]3 years ago

4 0

I hope this makes sense! if not let me know!

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Follow my Instagram <br> 1.cshamoun

wolverine [178]

Answer:

SUre

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If a material contains three elements joined in a fixed proportion, it is a(an)

Andrei [34K]

The answer is d. if they are chemically joined as a mixture is multiple element but they aren't chemically joined. And an atom is what the element is made of and a solution is not anything to do with joined elements

7 0

3 years ago

Which equation is y = –6x^2 + 3x + 2 rewritten in vertex form? y = negative 6 (x minus 1) squared + 8 y = negative 6 (x + one-fo

mart [117]

Answer:

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Step-by-step explanation:

Given:

$y = -6x^2 + 3x + 2$

Required

Rewrite in vertex form

The vertex form of an equation is in form of: $y = a(x - h)^2+ k$

Solving: $y = -6x^2 + 3x + 2$

Subtract 2 from both sides

$y - 2 = -6x^2 + 3x + 2 - 2$

$y - 2 = -6x^2 + 3x$

Factorize expression on the right hand side by dividing through by the coefficient of x²

$y - 2 = -6(x^2 + \frac{3x}{-6})$

$y - 2 = -6(x^2 - \frac{3x}{6})$

$y - 2 = -6(x^2 - \frac{x}{2})$

Get a perfect square of coefficient of x; then add to both sides

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<em>Rough work</em>

The coefficient of x is $\frac{-1}{2}$

It's square is $(\frac{-1}{2})^2 = \frac{1}{4}$

Adding inside the bracket of $-6(x^2 - \frac{x}{2})$ to give: $-6(x^2 - \frac{x}{2} + \frac{1}{4})$

To balance the equation, the same expression must be added to the other side of the equation;

Equivalent expression is: $-6(\frac{1}{4})$

------------------------------------------------------------------------------------

The expression becomes

$y - 2 -6(\frac{1}{4})= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{6}{4}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{3}{2}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

Factorize the expression on the right hand side

$y - 2 -\frac{3}{2}= -6(x - \frac{1}{2})^2$

$y - (2 +\frac{3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{4+3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{7}{2})= -6(x - \frac{1}{2})^2$

$y +\frac{7}{2} = -6(x - \frac{1}{2})^2$

Make y the subject of formula

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

<em>Solved</em>

7 0

3 years ago

Read 2 more answers

Is x = -12 a solution of x^2 +10x+25=49?

Tresset [83]

Answer:

Yes

Step-by-step explanation:

${x}^{2} + 10x + 25 = 49 \\ {x}^{2} + 10x + 25 - 49 = 0 \\ {x}^{2} + 10x - 24 = 0 \\ (x + 12)(x -2 ) = 0 \\ \\ x + 12 = 0 \\ x = - 12 \\ \\ \\ x - 2 = 0 \\x = 2$

I hope I helped you^_^

8 0

3 years ago

In a fruit punch drink, the 3 ingredients are

aliina [53]

Answer:

3:4:7

Step-by-step explanation:

2/7 is apple juice

1/2 is orange juice

2/7 + 1/2=4/14+7/14=11/14

14/14 - 11/14=3/14

3/14 is cranberry juice

4/14 is apple juice

7/14 is orange juice

the ratio is 3/14 to 4/14 to 7/14

the ratio simplified is 3:4:7

4 0

3 years ago