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4 years ago

Quadrilateral WXYZ has vertices W(-3, 4), X(1, 8), Y(8, 7) and Z(-2, -3). The quadrilateral is an isosceles trapezoid.

Mathematics

1 answer:

harkovskaia [24]4 years ago

7 0

False, because if you put on a graph paper, it wouldn’t work

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Write an equation for this parabola. The vertex is ( 1, 3)

frosja888 [35]

$a(x - 4)(x + 2) = \\ a {x}^{2} - 2ax - 8a$
so put x=1 solve
$a - 2a - 8a = 3 > > > - 9a = 3 \\ a = \frac{ - 1}{3}$
then
$\frac{ - 1}{3} {x}^{2} + \frac{2}{3} + \frac{8}{3}$

3 0

4 years ago

LOTS OF POINTS IM DESPERATE! can someone please refresh my memory on a couple of log equations? Thank you!

n200080 [17]

Answer:

78. t=8.66yrs

79. r=23.10%

80. r=11.0975%

Step-by-step explanation:

78. Given the initial deposit is $1,000 and the 8% compounded continuously. The doubling time can be calculated using the formula;

$A=Pe^{it}$

Given that A=2P, we substitute in the equation to solve for t:

$A=Pe^{rt}\\\\2P=Pe^{rt}\\\\2=e^{0.08t}\\\\0.08t=\ In 2\\\\t=8.66\ years$

Hence, it takes 8.66 years for $1,000 to double in value.

79.

Given the initial deposit is $1,000 and the r% compounded continuously.

-The doubling rate can be calculated using the formula;

$A=Pe^{rt}$

#We substitute our values in the equation to solve for r:

$A=Pe^{rt}\\\\A=2P, t=3\\\\\therefore\\\\2P=Pe^{3r}\\\\2=e^{3r}\\\\r=\frac{In \ 2}{3}\\\\=0.23105\approx 23.10\%$

Hence, the deposit will double in 3 years at a rate of 23.10%

80.

Given the initial deposit is $30,000 and the future value is $2,540,689.

-Also, given t=40yrs, the rate of growth for continuous compounding is calculated as:

$A=Pe^{rt}, \ \ \ r=r, t=40yrs\\\\2540689=30000e^{40r}\\\\\frac{2540689}{30000}=e^{40r}\\\\r=\frac{In \ (2540689/30000)}{40}\\\\\\=0.110975=11.0975\%$

Hence, the deposit will grow at a rate of approximately 11.0975%

3 0

3 years ago

Find the exact value of x.

Tom [10]

Answer:

7 $\sqrt{2}$ or 9.89

Step-by-step explanation:

sin45= $\frac{7}{x}$

x= $\frac{7}{sin 45}$

x= 7 $\sqrt{2}$ or 9.89

4 0

3 years ago

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Does anyone know the answer???

svetoff [14.1K]

It’s a 90 degree angle. You can tell be the little square box. :)

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3 years ago

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The population of a town was 230000. For 12 years, the population grew by 4% per year, compounded continuously. What was the pop

kap26 [50]

Answer: 371697

Step-by-step explanation:

For continuously compounded values, we use the formula Pe^rt, or Pert. P is our principal/initial value, 230000. e is the constant e, r is our rate, 4% or .04, t is our time, 12. So, 230000*e^(.04*12)=371697.112504, rounding down, 371697.

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3 years ago