I’m confused on this one

Mathematics

1 answer:

Fudgin [204]3 years ago

3 0

BD is equal to 120 because when you find the hypotenuse of triangle GEB, you just have to multiply it by 1.5.

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2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27

Juli2301 [7.4K]

$i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}$

$ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\
\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}$

4 0

3 years ago

If the equation y=-5x+12 is translated up five units, what would the new equation be?

Maurinko [17]

Answer:

y=-5x+17

Step-by-step explanation:

4 0

3 years ago

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look at the figure shown below which step should be used to prove that point a is equidistant from points c and b

JulijaS [17]

D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.

C
is wrong as well. The triangles might be similar, but they are more. They are congruent.

B
You don't have to prove that. It is given on the way the diagram is marked.

A
A is your answer. The two triangles are congruent by SAS

3 0

3 years ago

Not sure about this.. please help!!

Lina20 [59]

Answer:

Cube

Step-by-step explanation:

A cube is a 3-D shape that consists of 6 squares. A cube is the correct following shape that must have a square base or a square bottom since all of it's sides are the shape of a square.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

3 0

3 years ago

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Construct Triangle QRS if QS =8cm, angle SQR

lana66690 [7]

Answer:

a. 1 triangle

Step-by-step explanation:

measure line QS=8.cm measure 85°on side Q

5 0

3 years ago