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gizmo_the_mogwai [7]

2 years ago

6

Solve. the square root of 44-2x = x-10

2 answers:

Anuta_ua [19.1K]2 years ago

5 0

44-2x=x-10 subtract 44 from both sides -2x= x-54 subtract x from both sides -3x= -54 divide by -3 x= 18 square root of 18= 4.24 in radical form 3 square root of 2 hope this helps

Elza [17]2 years ago

5 0

Sqrt(44 - 2x) = x - 10
44 - 2x = (x - 10)^2 = x^2 - 20x +100
0 = 1x^2 - 18x + 66
yikes! quadratic formula
ax^2 + bx + c = 0
a = 1
b = -18
c = 66
x = [-b ± sqrt(b^2 - 4ac)]/(2a)
x = [18 ± sqrt((-18)^2 - 4(1)(66))]/(2(1))
x = 12.873 or <span>5.127</span>

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Read 2 more answers

Find the area.<br> 5cm<br> 3cm<br> 4 cm

Ostrovityanka [42]

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

$\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}$

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

<u>Replacing a, b, and c as the given side lengths:</u>

$\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}$

<u>Determining the perimeter of the triangle:</u>

$\text{Perimeter of triangle = Sum of it's side lengths}$

$\implies \text{Perimeter of triangle =}\ 5 + 4 + 3$

$\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}$

<u>Determining the half of perimeter:</u>

$\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}$

$\implies s = \dfrac{12}{2}$

$\implies s = 6$

<u>Replacing the value of "s" in the formula:</u>

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

<u>Evaluating the area:</u>

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(6)}$

$\implies \text{Area of triangle} = 6 \ \text{cm}^{2}$

6 0

1 year ago

Write an equation in point-slope form of the line that passes through the two given points. Use the first point to write the equ

a_sh-v [17]

Answer:
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5 0

2 years ago

Triangle ABC is similar to triangle FED, find the measure of x. A. X = 9 B. X = 11 C. X = 110 D. X = 231

just olya [345]

Answer:

$A+B+C=130$

$F+E+D=273$

Step-by-step explanation:

From the question we are told that:

Dimension of ABC

A=9

B=11

C=110

Dimension of FED

D=231

Generally the equation for the similar triangles is mathematically given by

$\frac{A}{F}=\frac{B}{E}=\frac{C}{D}$

Therefore solving for F

$\frac{9}{F}=\frac{110}{231}$

$F=\frac{9*231}{110}$

$F=18.9$

Therefore solving for E

$\frac{11}{E}=\frac{110}{231}$

$E=\frac{11*231}{110}$

$E=23.1$

Measure of $\triangle ABC$

$A+B+C=130$

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3 years ago

tyrone opens an account at the local bank by depositing $50 of his birthday money. He continues to deposit $50 each month for 5

Pavel [41]

<u>Answer-</u>

<em>The amount will be </em><em>$8944.62</em><em> after 5 years.</em>

<u>Solution-</u>

We know that,

$\text{FV of annuity}=P[\dfrac{(1+r)^n-1}{r}]$

Where,

P = Payment = $50 monthly

r = rate of interest compounded monthly= $3\frac{1}{4}=3.25\%=0.0325$

n = number of period = 5 years = 5×12 = 60 months

Putting the values in the formula,

$\text{FV of annuity}=50[\dfrac{(1+0.0325)^{60}-1}{0.0325}]$

$=50[\dfrac{(1.0325)^{60}-1}{0.0325}]$

$=50[\dfrac{6.8140-1}{0.0325}]$

$=50[\dfrac{5.8140}{0.0325}]$

$=50\times 178.8923$

$=8944.62$

Therefore, the amount will be $8944.62 after 5 years.

5 0

3 years ago