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3 years ago

12

Graph the quadratic function f(x)=(x−4)(x+2).

1 answer:

Pani-rosa [81]3 years ago

3 0

See attached picture:
vertex (1,-9)

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Convert 50 feet per second to miles per hour.

AleksAgata [21]

FIrst we know that
1 second = 1/3600 hours
5280 ft = 1 miles

Which means that

50 Ft = 50/5280 miles

So the conversion
(5/5280 miles ) / (1/3600)

= 5/5280 miles x 3600

= 34.09 miles per hour

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4 years ago

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Jamie can take one of three different buses to and from school (bus A, B, and C). She randomly catches one bus in the morning an

SashulF [63]

Jamie can take one of the three different buses to and from school bus A ,B, and C. she randomly get just one person in the morning and another one on the way home this gift list same space of outcomes the answer is

C. BC

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3 years ago

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Find x in the given figures.

marin [14]

Answer:

$\large\boxed{X=\sqrt{12}\ in=2\sqrt3\ in}$

Step-by-step explanation:

ΔADC and ΔCBD are similar. Therefore the corresponding sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

AD = 2, CD = X, DB = 6.

Substitute:

$\dfrac{2}{X}=\dfrac{X}{6}$ <em>cross multiply</em>

$X^2=(2)(6)\\\\X^2=12\to X+\sqrt{12}$

$\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3$

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4 years ago

Which ordered pair is the best estimate for the solution of this system of linear equations?

nadezda [96]

Answer:

B. (-3, 2)

Step-by-step explanation:

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3 years ago

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How do you solve these two problems please explain step by step

Ymorist [56]

Answer:

1) $x=15, y=41$

2) $x=6, y=24$

Step-by-step explanation:

1)

The two triangles are similar by AA similarity.

That means $5x-5=4x+10$ .

We can add $5$ to both sides to get $5x=4x+15$ .

We can then subtract $4x$ from both sides to get $x=15$ .

We know that the $(5x-5)+(6y-4)=180$ because they both lie on a straight line.

We can plug in for $x$ to get $(5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180$ .

We can divide both sides of the equation by $6$ to get $y-11=30$ .

We then add $11$ to both sides to get $y=41$ .

So, $\boxed{x=15, y=41}$ and we're done!

2)

Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to $180^{\circ}$ , we have that $90+3y+18=180$ .

We can subtract a $90$ and an $18$ from both sides to get $3y=72$ .

We then divide both sides of the equation by $3$ to get $y=24$ .

We do the same thing for $x$ . On the other side of the trapezoid, we have that $15x+30+10x=180$ .

We combine like terms on the left side to get $25x+30=180$ .

We subtract a $30$ from both sides to get $25x=150$ .

We divide both sides of the equation to get $x=6$ .

So, $\boxed{x=6, y=24}$ and we're done!

6 0

3 years ago