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3 years ago

How to solve this problem

Mathematics

1 answer:

Stels [109]3 years ago

4 0

Number 7 is 111 because they are alternate interior and 8 is 90

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Factorise<br>a^4+a^2b^2+b^4

finlep [7]

Answer:

a^6*b^6

Step-by-step explanation:

I think that's correct, but I'm not sure

5 0

3 years ago

Area for a kite<br> I don’t know how to find the area pls help

dusya [7]

Answer:

63.966

Step-by-step explanation:

Area of a kite is

$\frac{pq}{2}$

where p and q are the diagonals.

The horinzontial diagonal is 8.

We need to find the vertical diagonal length.

The top triangle diagonal measure is

${4}^{2} + {x}^{2} = {7}^{2}$

$16 + {x}^{2} = 49$

${x}^{2} = 33$

$x = \sqrt{33}$

The bottom triangle diagonal measure is

${4}^{2} + {x}^{2} = {11}^{2}$

$1 6 + {x}^{2} = 121$

${x}^{2} = 105$

$x = \sqrt{105}$

Add the two diagonals.

$\sqrt{105} + \sqrt{33}$

Substitute this in for the formula

$\frac{8 \times ( \sqrt{105} + \sqrt{33} }{2}$

Which simplified gu

Ives us

$63.966$

Round if neededd.

7 0

3 years ago

Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3)

vredina [299]

a vertical axis, I assume it means a vertical axis of symmetry, thus it'd be a vertical parabola, like the one in the picture below.

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \qquad \leftarrow vertical\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies y=a(x-0)^2+0 \\\\\\ \textit{we also know that } \begin{cases} x=-2\\ y=3 \end{cases}\implies 3=a(-2-0)^2+0\implies 3=4a \\\\\\ \cfrac{3}{4}=a~\hspace{10em}y=\cfrac{3}{4}(x-0)^2+0\implies \boxed{y=\cfrac{3}{4}x^2}$