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3 years ago

Point A and point B are placed on a number line. Point A is located at - 20 and

Mathematics

1 answer:

Igoryamba3 years ago

4 0

Answer:

Point B is located on -25

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Plz help!! And show work plz 18 points!

garri49 [273]

75√109.5=1.46
1.2√79.1=65.92
5.2√9.16=1.76
17.1 =17.1

4 0

3 years ago

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

N ∆ABC, if sin A = and tan A = , then what is cos A?

leva [86]

Answer:hello :

tanA = sinA/cosA

cosA = sinA /tanA

cosA =(4/5)/(4/3)

cosA=3/5

Step-by-step explanation:

8 0

3 years ago

Combine the following expressions:

melisa1 [442]

ANSWER

$(4n - 1)\sqrt{3 n} + 3\sqrt{n}$

EXPLANATION

The given expression is

$\sqrt{48 {n}^{3} } + \sqrt{9n} - \sqrt{3n}$

We remove the perfect squares under the radical sign.

$\sqrt{16 {n}^{2} \times3 n} + \sqrt{9n} - \sqrt{3n}$

We can now take square root of the perfect squares and simplify them further.

$\sqrt{16 {n}^{2}} \times \sqrt{3 n} + \sqrt{9} \times \sqrt{n} - \sqrt{3n}$

This simplifies to:

$4n\sqrt{3 n} + 3\sqrt{n} - \sqrt{3n}$

This further simplifies to:

$(4n - 1)\sqrt{3 n} + 3\sqrt{n}$

3 0

3 years ago

Read 2 more answers

There are 43 dogwood trees currently in the park. Park workers will plant more

Digiron [165]

Answer:

100

Step-by-step explanation:

because 1 x 100 = 100

7 0

3 years ago