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Nataly_w [17]
3 years ago
9

Let a Δ b = (a+b)2+5. what is 1 Δ - 4?

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

It looks like ∆ is defined as

<em>a</em> ∆ <em>b</em> = (<em>a</em> + <em>b</em>)² + 5

If that's the case, then

1 ∆ (-4) = (1 + (-4))² + 5 = (-3)² + 5 = 9 + 5 = 14

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In the figure, FQ is parallel to RS". The length of PT is 3 cm; the length of PQ
sasho [114]

Answer:

The measure of length RT is 9 cm  .

Step-by-step explanation:

Given figure as :

The Triangle TRS and Triangle TPQ are similar triangles

I.e Δ TRS ≈ Δ TPQ

And The measure of side PT = 3 cm

The measure of side PQ = 5 cm

The measure of side RS = 15 cm

Let The measure of side RT =  x cm

So,<u> From the property of similar triangles</u>

\dfrac{\textrm measure of side TR}{\textrm measure of side TP} = \dfrac{\textrm measure of side RQ}{\textrm measure of side PQ}

I.e \dfrac{TR}{TP} = \dfrac{RS}{PQ}

Or, \dfrac{x}{3} = \dfrac{15}{5}

Or, \dfrac{x}{3} = 3

∴  x = 3 × 3

I.e x = 9 cm

Hence The measure of length RT is 9 cm  .  Answer

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%7D%7Bx%7D%20%20%2B%203%20%3D%20%20%5Cfrac%7B1%7D%7Bx%7D%20" id="TexFormula1"
Elena L [17]

Step-by-step explanation:

2/x + 3 = 1/x

2/x - 1/x = -3

1/x = -3

1 = -3x

x = 1/(-3) = -1/3

5 0
3 years ago
I need help please for math
Ipatiy [6.2K]
Do you have the paper called a cheat sheet, it show from gallons to liters
6 0
3 years ago
Steven Kellogg, a machine operator, works at an hourly rate of $10.60 and
il63 [147K]

Answer:

Straight\ Time\ Pay = \$392.2

Overtime\ Pay = \$42.4

Total = \$434.6

Step-by-step explanation:

Given

Hourly Rate = $10.60

Overtime = half hourly rate

Hours worked = 37 hours

Overtime = 8 hours

Calculating the Straight Time Pay

Straight\ Time\ Pay = Hourly\ Rate * Hours\ Worked

Straight\ Time\ Pay = 37 * \$10.60

Straight\ Time\ Pay = \$392.2

Calculating the Overtime Pay

Overtime\ Pay = Overtime\ Rate * Overtime\ Hours

<em>Since, overtime rate is half of hourly rate; we have</em>

Overtime\ Pay = \frac{\$10.6}{2} * 8

Overtime\ Pay = \$5.3 * 8

Overtime\ Pay = \$42.4

Calculating Total Pay

This is calculated by adding results in (i) and (ii)

Total = Straight\ Time  + Overtime

Total = \$392.2  + \$42.4

Total = \$434.6

7 0
3 years ago
What calculation can I use to find 48 after a 49% decrease?
Natasha_Volkova [10]

Answer:

d

Step-by-step explanation:

hope it helps

7 0
3 years ago
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