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3 years ago

What type of triangle is shown here?

Mathematics

1 answer:

Naddika [18.5K]3 years ago

5 0

Equilateral because all sides are equal

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How do I find x and y?

snow_tiger [21]

Answer:

Step-by-step explanation: slope

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3 years ago

Find an equation of the circle that has center (-4,3) and passes through (6,-4).

kumpel [21]

Answer:

$(x+4)^2+(y-3)^2=149$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius of the circle.

Given that $(h,k)\rightarrow(-4,3)$ and it passes $(6,-4)$ , their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}$

Therefore, if the length of the radius is $r=\sqrt{149}$ units, then $r^2=149$ , making the final equation of the circle $(x+4)^2+(y-3)^2=149$

5 0

3 years ago

If cosØ =-3/5 in quadrant 2, what is sinØ? A. 3/4 B. 4/5 C. -3/4 D. -4/5

Studentka2010 [4]

Answer:

B. 4/5

Step-by-step explanation:

5 0

3 years ago

0.6 divided by 0.02 can someone give the answer plzz

Elena-2011 [213]

Answer:

I hope this helps!

6 0

3 years ago

If f(x)f(x) is an exponential function where f(1.5)=5f(1.5)=5 and f(7.5)=79f(7.5)=79, then find the value of f(3)f(3), to the ne

stiv31 [10]

Answer: $7.93$

Step-by-step explanation:

Given

$f(x)$ is an exponential function. Suppose $f(x)$ is $ae^{bx}$

$f(1.5)=5\ \text{and}\ f(7.5)=79$

$\Rightarrow 5=ae^{1.5b}\\\Rightarrow \ln 5=\ln a-1.5b\quad \ldots(i)$

Similarly,

$\Rightarrow 79=ae^{7.5b}\\\Rightarrow \ln(79)=\ln a+7.5b\quad \ldots(ii)$

Subtract (i) and (ii)

$\Rightarrow \ln (79)-\ln (5)=9b\\\Rightarrow \ln (\frac{79}{5})=9b\\\\\Rightarrow b=\dfrac{\ln (\frac{79}{5})}{9}\\\\\Rightarrow b=0.3066$

Insert the value of $b$

$\Rightarrow 5=ae^{0.46}\\\Rightarrow a=5\times 0.6312\\\Rightarrow a=3.156\approx 3.16$

So, the function becomes

$\Rightarrow f(x)=3.16e^{0.3066b}$

$\Rightarrow f(3)=3.16e^{0.3066\times 3}\\\Rightarrow f(3)=7.927\approx 7.93$

4 0

3 years ago

Read 2 more answers