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3 years ago

what type of conic section is the following equation? 16x^2-300-25y^2 =100 a)parabola b) circle c) hyperbola d)ellipse

Mathematics

2 answers:

Flura [38]3 years ago

8 0

Since you have the minus between the x^2 and y^2 terms it would be a hyperbola

Bogdan [553]3 years ago

3 0

c) hyperbola is the correct answer Hope this helps

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

maxonik [38]

Answer:

1) shifts f(x) 4 units down = g(x) = $2x-10$

2) stretches by factor 4 = g(x) = $8x-24$

3) shifts f(x) 4 units right = g(x) = $2x-14$

4) compresses by factor 4 = g(x) = $8x-6$

Step-by-step explanation:

1) When we have to move the function down by 4 units, subtract the whole function by -4, that is y -4.

Thus, f(x) becomes g(x) = $2x-6-(4)$ = $2x-10$

2) When the function is stretched away from x axis, it means in Y direction.

Thus, when stretched 4 units in Y direction, the function becomes 4(f(x))

= g(x) = $4(2x-6)$ = $8x-24$

3)When we have to move the function right by 4 units, replace x with (x-4) in the function.

Thus, f(x) becomes g(x) = $2(x-4)-6$ = $2x-8-6$ = $2x-14$

4) When the function is stretched towards y axis, it means in X direction.

Thus, when compressed 4 units in X direction, replace the x by 4x.

= g(x) = $2(4x)-6$ = $8x-6$

3 0

3 years ago

FIND THE LENGTH OF SIDE “DE”. GIVING BRAINLIEST

notsponge [240]

8
Needs 20 characters

7 0

3 years ago

Solve- cbb to work it out

zloy xaker [14]

<h3>Answers: </h3>

➝ Hypotenuse of triangle ( a ) = 21.63 mm

➝ Hypotenuse of triangle ( b ) = 150 mm

➝ Hypotenuse of triangle ( c ) = 111.80 mm

$\quad\rule{300pt}{1.5pt}\quad$

<h3>Solution:</h3>

We have to find the length of hypotenuse in the given 3 triangles, which can be done by using Pythagoras theorem.

Pythagoras theorem states that :

" In a right angled triangle, the square of hypotenuse side is equal to the sum of square of other two sides "

$\qquad \bull \:{\pmb{\mathfrak{ h^2 = b^2 + p^2}}}$

And we have to convert the answer to the units indicated in red i.e, in mm.

Since 1cm = 10 mm, we will convert the given values of length of side in mm before putting the values in the formula

For triangle ( a )

$:\implies\qquad \sf{ h^2 = b^2 + p^2}$

$:\implies\qquad \sf{ h =\sqrt{b^2 + p^2}}$

$:\implies\qquad \sf{h=\sqrt{ (12)^2 + (18)^2 }}$

$:\implies\qquad \sf{ h= \sqrt{144 + 324}}$

$:\implies\qquad \sf{ h = \sqrt{468}}$

$:\implies\qquad\underline{\underline{\pmb{ \sf{ h = 21.63 mm}}}}$

For triangle ( b )

$:\implies\qquad \sf{ h^2 = b^2 + p^2}$

$:\implies\qquad \sf{h =\sqrt{b^2 + p^2} }$

$:\implies\qquad \sf{ h = \sqrt{(90)^2+(120)^2}}$

$:\implies\qquad \sf{ h=\sqrt{8100+14400}}$

$:\implies\qquad \sf{ h =\sqrt{22500}}$

$:\implies\qquad\underline{\underline{\pmb{ \sf{h = 150mm}}} }$

For triangle ( c )

$:\implies\qquad \sf{h^2 = b^2 + p^2 }$

$:\implies\qquad \sf{ h=\sqrt{b^2 + p^2}}$

$:\implies\qquad \sf{ h =\sqrt{(100)^2)+(50)^2}}$

$:\implies\qquad \sf{ h=\sqrt{10000+2500}}$

$:\implies\qquad \sf{ h =\sqrt{12500}}$

$:\implies\qquad \underline{\underline{\pmb{\sf{h = 111.80mm}}} }$

4 0

2 years ago

$35,000 at 4% for 5 years calculate the compound interest

hodyreva [135]

Answer:

$42582.852

Step-by-step explanation:

To calculate this you would first need to convert 4% into a decimal.

To do this you would divide 4 by 100, this gives you 0.04. Then you would add 0.04 to 1, This gives you 1.04. Then you would multiply 35000 by 1.04 to the power of how many years, in this case it is 5.

1) Convert 4% into a decimal.

$4/100=0.04$

2)Add 1 to 0.04.

$1+0.04=1.04$

3) Multiply 35000 by 1.04 to the power of 5.

$35000*1.04^{5} =42582.852$

4) The compound interest is $42582.852

3 0

3 years ago

A triangle has sides with lengths of 5 m, 4 m, and 3 m. Is it a right triangle?

Doss [256]

Answer:

Step-by-step explanation:

Need this to omg

6 0

3 years ago