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3 years ago

Find the values of x and y.

Mathematics

2 answers:

fomenos3 years ago

7 0

7x + 7 = 112

-7

7x = 105

divide 7

x = 15

Now, for y.

Angle 112 and the unknown angle = 180*

This means the unknown angle = 68

4y = 68

divide 4

y = 17

asambeis [7]3 years ago

4 0

4y+112=180 angle sum property
Therefore,
4y=180-112
= 68
As 4y=68 then y = 17

Now,
4y +7x+7=180 angle sum property
7x =180-68-7
7x=105
X=15

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What is the factored form of the expression?<br><br> d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

3 0

3 years ago

Solve the equation x to the power of 2=10

Iteru [2.4K]

Answer:

√10,−√10

Step-by-step explanation:

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4 0

3 years ago

ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?

kiruha [24]

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!