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2 years ago

Find the area of the isosceles triangle.

Mathematics

1 answer:

kogti [31]2 years ago

5 0

Answer:

The hight length : h

The base length : a

Apply the Pythagorean theorem in the right triangle :

h² = 13² - (10/2) = 144

h = √144 = 12 cm

S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²

Step-by-step explanation:

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Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the

kvasek [131]

The axis of symmetry of a quadratic function $f(x)=ax^2+bx+c$ is given by the equation $x=h$ , where h is the x-coordinate of the vertex and is equal to $\frac{-b}{2a}$ .

1.
$f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
x=0$

2.
$g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
x=4$

3.
$h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2$

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).

7 0

2 years ago

Five-sixths of Paco's stamps have pictures of animals.

goldenfox [79]

Answer:

Step-by-step explanation:

fraction of stamps that has animals on it x total number of stamps paco has = pictures with animals on it

(5/6) x 24 = 20

6 0

3 years ago

Three vertices of parallelogram WXYZ are X(–2,–3), Y(0, 5), and Z(7, 7). Find the coordinates of vertex W

Serhud [2]

The coordinates of the vertex W are (5 , -1)

Step-by-step explanation:

In the parallelogram, the diagonal bisect each other

To find a missing vertex in a parallelogram do that:

Find the mid-point of a diagonal whose endpoints are given
Use this mid-point to find the missing vertex
The mid point rule is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

∵ WXYZ is a parallelogram

∴ Its diagonals are WY and XZ

∵ The diagonal bisect each other

- That mean they have the same mid-point

∴ They intersect each other at their mid-point

∵ x = (-2 , -3) and z = (7 , 7)

∴ $x_{1}$ = -2 and $x_{2}$ = 7

∴ $y_{1}$ = -3 and $y_{2}$ = 7

- Substitute them in the rule of the mid point to find the

mid-point of XZ

∴ $M_{XZ}=(\frac{-2+7}{2},\frac{-3+7}{2})=(2.5 , 2)$

∴ The mid-point of diagonals WY and XZ is (2.5 , 2)

Let us use it to find the coordinates of vertex W

∵ W = (x , y) and Y = (0 , 5)

∴ $x_{1}$ = x and $x_{2}$ = 0

∴ $y_{1}$ = y and $y_{2}$ = 5

- Equate 2.5 by the rule of the x-coordinate of the mid-point

∵ $2.5=\frac{x+0}{2}$

- Multiply both sides by 2

∴ 5 = x + 0

∴ 5 = x

∴ The x-coordinate of point W is 5

- Equate 2 by the rule of the y-coordinate of the mid-point

∵ $2=\frac{y+5}{2}$

- Multiply both sides by 2

∴ 4 = y + 5

- Subtract 5 from both sides

∴ -1 = y

∴ The y-coordinate of point W is -1

The coordinates of the vertex W are (5 , -1)

Learn more:

You can learn more about the mid-point in brainly.com/question/10480770

#LearnwithBrainly

4 0

3 years ago

All kites are squares true or false

Klio2033 [76]

Answer:

Step-by-step explanation:

Not all kites are a square.

8 0

2 years ago

Bob brings home 156.40 his gross is 184.00 what percentage do he bring home

Tanzania [10]

Answer:

85%

Step-by-step explanation:

To find the percentage we will have to start by dividing the amount he brings home by the gross.

156.4 / 184 = 0.85

By doing this, we get the answer in decimal form, which is not what we want.

Multiply it by 100 to convert it into a percent.

0.85 x 100 = 85.

Now, we know that he brings home 85% of his gross.

5 0

3 years ago