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2 years ago

In the triangle below, which equation can be used to solve for x?

Mathematics

2 answers:

shutvik [7]2 years ago

5 0

Answer:

file?

Step-by-step explanation:

Murrr4er [49]2 years ago

4 0

U forgot the attachment

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Find the value for x. Round your answer to the nearest hundredth. Area of the triangle = 8 ft^2

zmey [24]

Answer:

x = 3.51

Step-by-step explanation:

Since, formula to determine the area f a triangle is,

Area = $\frac{1}{2}(\text{Base})(\text{Height})$

8 = $\frac{1}{2}(x + 1)(3x - 7)$

16 = x(3x - 7) + 1(3x - 7)

16 = 3x² - 7x + 3x - 7

16 = 3x² - 4x - 7

0 = 3x² - 4x - 23

3x²- 4x - 23 = 0

By quadratic formula,

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

x = $\frac{4\pm \sqrt{(-4)^{2}-4(3)(-23)}}{2(3)}$

x = $\frac{4\pm \sqrt{292}}{6}$

x = $\frac{4\pm 17.09}{6}$

x = 3.51, -2.18

But the length of sides can't be negative.

Therefore, x = 3.51 will be the answer.

8 0

2 years ago

The length of a rectangular flower bed is 2ft longer than the width. If the area is 6ft, then what are the exact length and widt

Marizza181 [45]

Answer:

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

Step-by-step explanation:

Let's assume width of rectangle is w ft

The length of a rectangular flower bed is 2ft longer than the width

so,

length =w+2

$L=w+2$

now, we can find area

$A=L\times W$

now, we can plug it

$A=(w+2)\times w$

$A=w^2+2w$

we are given area =6

so, we can set it equal

and then we can solve for w

$w^2+2w=6$

$w^2+2w-6=0$

we can use quadratic formula

$ax^2+bx+c=0$

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

now, we can compare and find a,b and c

a=1 , b=2 , c=-6

$w=\frac{-2\pm \sqrt{2^2-4\cdot \:1\left(-6\right)}}{2\cdot \:1}$

$w=-1+\sqrt{7},\:w=-1-\sqrt{7}$

we know that dimension can never be negative

so, we will only consider positive value

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

7 0

3 years ago

Pls help help help, help help help help help

Alik [6]

Answer: We can't even see the whole picture my dude

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

If f(x) = (x + 7)2 and g(x) = x2 +9,

Talja [164]

ANSWER : D

EXPLANATION : 81 > 13 is true

3 0

2 years ago

Seth is playing an arcade game. He

umka21 [38]

Answer:

Step-by-step explanation:

+25 for the first attempt but -25 for the second

3 0

3 years ago