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3 years ago

Solve for b: A= (h(a+b))/2

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

A= (h(a+b))/2

multiply each side by 2

2A = (h(a+b))

divide each side by h

2A/h = a+b

subtract a from each side

2A/h -a = b

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The train to Sun City travels 150 miles per hour. How long will a trip take if Sun City is 525 miles away?

Vinvika [58]

525 divided by 150 is 3.5

3.5= 3 hours and 30 mins

answer is b

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2 years ago

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

2 years ago

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siniylev [52]

Answer:

SAS, SSS, AAA

Step-by-step explanation:

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3 years ago

Solve for x:<br> please help me

solniwko [45]

Answer:

x = 10

Step-by-step explanation:

We know that is a right angle which is 90 degrees.

we know one angle is 30 degrees.

So take 90- 30 = 60

now we solve for 6x

6*10 = 60 and 60+30=90

x = 10

3 0

2 years ago

Read 2 more answers

Orders for a computer are summarized by the optional features that are requested. The proportion of orders with no optional feat

Scorpion4ik [409]

Answer:

(a) 71.00%

(b) 63.00%

Step-by-step explanation:

No optional features = 0.29

One feature = 0.34

Two features = 0.37

(a) The probability that an order requests at least one optional feature is 100% minus the probability of an order requesting no optional features:

$P=1-0.29=0.71=71.00\%$

(b) The probability that an order does not request more than one optional feature is 100% minus the probability of an order requesting two optional features:

$P = 1 -0.37=0.63 = 63.00\%$

3 0

3 years ago