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Aleks04 [339]
3 years ago
7

Which characteristics best describe an acute isosceles triangle

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

answer is A i and iv

two sides meet at 90°

two sides are equal in lenght

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Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each quadratic graph to its respectiv
ch4aika [34]

Answer:

Part 1) The function of the First graph is f(x)=(x-3)(x+1)

Part 2) The function of the Second graph is f(x)=-2(x-1)(x+3)

Part 3) The function of the Third graph is f(x)=0.5(x-6)(x+2)

See the attached figure

Step-by-step explanation:

we know that

The quadratic equation in factored form is equal to

f(x)=a(x-c)(x-d)

where

a is the leading coefficient

c and d are the roots or zeros of the function

Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

The parabola open up, so the leading coefficient a is positive

The function is equal to

f(x)=a(x-3)(x+1)

Find the value of the coefficient a

The vertex is equal to the point (1,-4)

substitute and solve for a

-4=a(1-3)(1+1)

-4=a(-2)(2)

a=1

therefore

The function is equal to

f(x)=(x-3)(x+1)

Part 2) Second graph

we know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to

f(x)=a(x-1)(x+3)

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

substitute and solve for a

8=a(-1-1)(-1+3)

8=a(-2)(2)

a=-2

therefore

The function is equal to

f(x)=-2(x-1)(x+3)

Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to

f(x)=a(x-6)(x+2)

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

substitute and solve for a

-8=a(2-6)(2+2)

-8=a(-4)(4)

a=0.5

therefore

The function is equal to

f(x)=0.5(x-6)(x+2)

3 0
3 years ago
Nolan plots a point at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points
Alenkasestr [34]
Y=2x+3
.......................
5 0
3 years ago
Read 2 more answers
If 30% of a number, n, is 120, what is 82% of n?
Naya [18.7K]

Answer:

1.28

Step-by-step explanation:

I did the math.

5 0
3 years ago
Read 2 more answers
-3=x/-9 please tell me how to solve this I’m way behind and trying to learn thank you :)
snow_tiger [21]

-3 = x/-9

To make this easier, I'll put it in normal numbers

(-3 = x/-9) -1

3 = x/9

Multiply both sides by nine to take out the division.

27 = x

Hope that this helped!

8 0
2 years ago
Solve for x<br> PLEASE HELP ME !!!
Oliga [24]

Answer:

360-(26x2)

=360-52

=308

15x  - 26 = 308 \\ 15x = 308 + 26 \\ 15x = 334 \\ x = 334 \div 15 \\ x = 22.27 \: or \:  \frac{334}{15}

4 0
3 years ago
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