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3 years ago

14

Find the area of isosceles triangle whose each side is 13cm and base 24cm.show by heron's formula!!

2 answers:

Annette [7]3 years ago

7 0

Answer:

60

Step-by-step explanation:

13*24=60

formula is b*h/2 so

im trash :3

Misha Larkins [42]3 years ago

3 0

Answer: 60

Step-by-step explanation:

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Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>

<u /> $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

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2 years ago

Simplify.<br><br> 3(y+7)+8y<br><br><br> Please answere

Katena32 [7]

3y+21+8y
11y+21 is the answer

7 0

2 years ago

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Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.

Oduvanchick [21]

we know that

If $(x-8)$ is a factor of the function $f(x)=-2x^{3}+17x^{2}-64$

then

$x=8$ is a root of the function f(x)

therefore

For $x=8$ the value of the function must be zero

Verify

Substitute the value of $x=8$ in the function

$f(8)=-2(8)^{3}+17(8)^{2}-64$

$f(8)=-2(512)+17(64)-64$

$f(8)=-1,024+1,088-64$

$f(8)=-1,088+1,088$

$f(8)=0$

therefore

<u>the answer is</u>

Yes, $(x-8)$ is a factor of the function f(x)

7 0

3 years ago

Read 2 more answers

Last one for real this time!<br> Find the perimeter and area the figure.

Natali5045456 [20]

Answer:

Perimeter = 180

Area = 1080

Step-by-step explanation:

Perimeter is length of all sides added together. 30+78+72 = 180

Area is the length times the height/2 for a triangle. 30*72/2 = 1080

I hope this helped <3

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2 years ago

How to find trigonomic ratio

ycow [4]

Answer:divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.

Step-by-step explanation:

divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.

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3 years ago