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2 years ago

9

A rock climber ascends 18 3/4 feet to the top of a rock ledge the climber descends 8 1/8

1 answer:

ratelena [41]2 years ago

5 0

Answer:

10 $10\frac{5}{8}$

Step-by-step

Reduce $\frac{3}{4}$ to $\frac{6}{8}$ and simply subtract.

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The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).

garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

$f(x)=x^2+6x+3$

$g(x)=f(x-2)$

$g(x)=(x-2)^2+6(x-2)+3$ (Replaced x in f with (x-2))

$g(x)=x^2-4x+4+6x-12+3$ (Used $(x+b)^2=x^2+2bx+b^2$ and distributive property)

$g(x)=x^2-4x+6x+4-12+3$ (Gathered like terms)

$g(x)=x^2+2x-5$ (Simplified)

The vertex of a parabola occurs at $(\frac{-b}{2a},g(\frac{-b}{2a})$ .

Let's find $\frac{-b}{2a}$ first.

$\frac{-2}{2(1)}=-1$

Now we can obtain $g(\frac{-b}{2a})$ which is $g(-1)$ in this case:

$g(x)=x^2+2x-5$

$g(-1)=(-1)^2+2(-1)-5$

$g(-1)=1-2-5$

$g(-1)=-1-5$

$g(-1)=-6$ .

The vertex is (-1,-6).

6 0

3 years ago

What is the value of x for which m || n?<br> x = 40<br> x = 5<br> x = 105<br> x = 30

QveST [7]

Answer:

(A) x=40

Step-by-step explanation:

Given: It is given that m is parallel to n.

To find: The value of x.

Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.

Thus, $105^{\circ}=3x-15^{\circ}$

⇒ $105^{\circ}+15^{\circ}=3x$

⇒ $120^{\circ}=3x$

⇒ $\frac{120}{3}=x$

⇒ $x=40$

Thus, the value of x is 40, hence option A is correct.

4 0

3 years ago

Read 2 more answers

Help me PLEASEEEE<br> find the the angles

wel

You need to find x so that then you can do it and you didn’t share a answer so how are we supposed to know??

3 0

2 years ago

A car costing $24,000 is subject to a sales tax of 8%. If Bindu made a $10,000 down payment on his car, what is the tot amount s

Serggg [28]

Answer:

$15,920

Step-by-step explanation:

4 0

11 months ago

||<br> o34<br> 38<br> o33<br> оз10<br> Y’all what this is ?

Effectus [21]

Answer:

i think its the 3rd one im sorry if im wrong

Step-by-step explanation:

4 0

2 years ago