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3 years ago

15

What is the value of x? Enter your answer in the box. x =

2 answers:

Elena-2011 [213]3 years ago

4 0

Answer:

x=3

Step-by-step explanation:

Just took the test

Lunna [17]3 years ago

3 0

For this you would use the "angle bisector theorem," which states that the ratio of the other two sides are proportional to the two segments of the divided base (opposite the bisected angle). See attached image...
In other words:
$\frac{3}{4} = \frac{2.25}{x} \\ cross - multiply \\ 3x = 4(2.25) \\ x = 9 \div 3 = 3$

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130% of the sum of 7 and a number n is equal to 91.

dybincka [34]

$130\%(7+n)=91 \\
1.3(7+n)=91 \\
7+n=\frac{91}{1.3} \\
7+n=70 \\
n=70-7 \\
n=63$

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

likoan [24]

Answer:

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2+4=6x$

This can be written as , $x^2-6x+4=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}$

$\Rightarrow x=\frac{6\pm\sqrt{20}}{2}$

$\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}$

$\Rightarrow x={3\pm \sqrt{5}}$

$\Rightarrow x_1={3+\sqrt{5}}$ and $\Rightarrow x_2={3-\sqrt{5}}$

We know $\sqrt{5}=2.23607$ (approx)

Substitute, we get,

$\Rightarrow x_1={3+2.23607}$ (approx) and $\Rightarrow x_2={3-2.23607}$ (approx)

$\Rightarrow x_1={5.23607}$ (approx) and $\Rightarrow x_2=0.76393}$ (approx)

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

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Marrrta [24]

Answer:

41 oak tree

Step-by-step explanation:

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And 18 ounce box of raisins cause $2.88 a 24 ounce box of raisins cost $3.60 which one is the better deal

nadya68 [22]

Answer:

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Step-by-step explanation:

18/2.88 = 6.25$

24/3.6 = 6.67$

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