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sleet_krkn [62]
2 years ago
9

A rectangular poster has an area of 190 inches squared. The height of the poster is one inch less than twice its width. Find the

dimension of the poster.
PLEASE SHOW ALL THE WORK!
Mathematics
1 answer:
Annette [7]2 years ago
4 0
Set the height to h, and the width to w.

We know that wh=190 and h=2w-1.

Substituting 2w-1 for h, we have:

w(2w-1)=190

So:
2w^2-w-190=0

Factoring this equation, we get (2w+19)(w-10)=0.  The solutions to this equation are -9.5 and 10, but clearly the width must be positive, Substituting 10 for the width, we get 10*2-1=19 for the height.
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8 to the fourth power increased by 6 in an algebraic expression.
hodyreva [135]
Y = 8^4 + 6 is one way
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3 years ago
Complete the statements.<br> f(4) is<br> f(x) = 4 when xis
inessss [21]

Think about this as a table of values where domain is the x values and range is the y values.

f(4) wants the y-value when the x-value is 4

f(4) = 1/2

The second question wants us to find the x-value when f(x) also known as the y-value is 4.

f(x) = 4

x = 8

answers: 1/2, 8

6 0
3 years ago
Read 2 more answers
Please help me AAAAAA
bezimeni [28]

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

baseline large × height large / 2 = 500

baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

8 0
2 years ago
Which is equivalent to 4(x - 1)? <br>x- 4 <br>4x-1 <br>4x - 3 <br>4x - 4​
ser-zykov [4K]

Answer:

4x-4

Step-by-step explanation:

Hope this helps!!!!!✨✨✨

8 0
2 years ago
Help me plz i need help with this
kirill [66]

Answer:

The expression would be 4x + 12. The second part woud be 16x + 48.

Step-by-step explanation:

6 0
2 years ago
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