Solve for Z:

4 > 5Z + 34
help me

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Explanation:

Use the pythagorean theorem to tie together the three sides of the right triangle.

[tex]a = x-3 = \text{horizontal leg}\\b = x+5 = \text{vertical leg}\\c = 9 = \text{hypotenuse}[/tex]

[tex]a^2 + b^2 = c^2\\(x-3)^2 + (x+5)^2 = 9^2\\x^2-6x+9 + x^2+10x+25 = 81\\2x^2+4x+34 = 81\\2x^2+4x+34-81=0\\2x^2+4x-47=0\\[/tex]

From here, we use the quadratic formula to solve for x.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(4)\pm\sqrt{(4)^2-4(2)(-47)}}{2(2)}\\\\x = \frac{-4\pm\sqrt{392}}{4}\\\\x \approx \frac{-4\pm19.79898987}{4}\\\\x \approx \frac{-4+19.79898987}{4} \ \text{ or } \ x \approx \frac{-4-19.79898987}{4}\\\\x \approx \frac{15.79898987}{4} \ \text{ or } \ x \approx \frac{-23.79898987}{4}\\\\x \approx 3.94974747 \ \text{ or } \ x \approx -5.94974745\\\\[/tex]

We'll ignore the negative x value because it makes the sides x+5 and x-3 to be negative numbers. Negative side lengths make no sense.

The only practical solution is roughly x = 3.94974747; rounding to 3 sig figs leads to the final answer of x = 3.95

In this case, 3 sig figs means that we're rounding to 2 decimal places.

Here is ur answer

- BRAINLIEST ANSWERER

Answer: were you born yesterday

Step-by-step explanation:

Answer:

576

Step-by-step explanation:

5 + 3 = 8

5 - 2 = 3

8 x 3 = 24

24 to the second power is 576

Answer:

27x+5

Step-by-step explanation:

5+3x(5-2)^2

5+3x(3)^2

5+3x*9

5+27x

27x+5

Answer:

4 ounces each

Step-by-step explanation:

16 ounces = 1 pound

16x2=32

32/8=4

[tex]\\ \sf\longmapsto 12x-15[/tex]

Distributive property

Take 3 common

[tex]\\ \sf\longmapsto 3(4x-5)[/tex]

Done

Answer:

x = 7/2

x = 3.5

x = 3 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-5

Step-by-step explanation:

g(x)= 3x+1

g(-2)

g(-2)= 3x+1

g(-2)= 3(-2)+1= -5

If the sum of first four terms in a G.P. is 30 and that of the last four terms is 960, then the sum of the first 8 terms is 990

We also know that a = 2

sum of first 4 terms

= 2(r^4 - 1)(r-1) = 30

r^4 - 1 = 15r - 15

r^4 - 15r + 14 = 0

r = 1 works for the equation , but r = 1 would make all the terms of the

GP the same, so clearly not a solution

r^4 - 15r + 14 = 0 , a bit of trial and error ....

(r-1)(r - 2)(r^2 + 3r + 7) = 0

so r = 2 or r = not real

check: sum(4) = 2(2^4 - 1)/(2-1) = 30 , as needed

so r = 2 , BUT it does not work for sum(8)

sum(8) = 2(2^8 - 1)(2-1) = 510 , not 990 as necessary according to your second part of the question.

check your question.

Answer:

She can travel for 10 days

Step-by-step explanation:

first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10

Hope this helps you out!

Answer:

28.05

Step-by-step explanation:

Answer:

12/15

Step-by-step explanation:

times 4 by 3 because 5 is timesed by 3

Answer:

[tex]y = -6[/tex]

Step-by-step explanation:

Because is a line is of the form

[tex]y = mx + b[/tex]

and its parallel to the line

[tex]2 - y &= 7\\- y &= 5\\y = -5[/tex]

So that's meaning that the slope [tex]m[/tex] is equal to 0 then the equation now is of the form

[tex]y = b[/tex]

Then if pass for the point -6 and [tex]b[/tex] is the point of cut with the [tex]y[/tex] axis then our equation of the line is equal to

[tex]y = -6[/tex]

Answer:

28/4

Step-by-step explanation:

the slash is also a division sign.

Answer:

B: 28/4 should be the correct answer, correct me if I'm wrong.

Answer:

No answer is be 28%

5+9+7+4=25

7/25 + .28 =28%

Step-by-step explanation:

Answer:

$7.97

Step-by-step explanation:

98.2 Oz = 6.1375 Lbs

6.1375 Lbs times $1.30 = 7.97875

Answer:

8x - 1 + 16x²

Step-by-step explanation:

8x - 2 + (4x - 1)(4x+1) = 0

=> 8x - 2 + 16x² + 4x - 4x - 1

=> 8x - 2 + 16x² - 1

=> 8x - 1 + 16x²

Therefore, 8x - 1 + 16x² is our answer

Answer:

side lengths are 96 for HI and PQ and 64 for IJ and RQ

hypothenuse is 115

Step-by-step explanation:

delta HIJ = delta PQR

HI = PQ   -->   3x = x + 64

divide both sides by x --> 3 = x/x + 64/x      *x/x = 1

3 = 1 + 64/x subtract both sides by 1

2 = 64/x --> 2x = 64 divide both sides by 2

x = 32

IJ = RQ --> x + 32 = 2x

divide both sides by x

1 + 32/x = 2 (again, x/x = 1)

subtract both sides by 1

32/x = 1

x = 32

plug in 32 for x to get the side lenghts

so 3(32) = 96

and 32 + 32 = 64

use equation a^2 + b^2 = c^2

96^2 + 64^2 = c^

9216 + 4096 = c^2

13312 = c^2        square root 13312

c = 115.378

Answer:

Hello is this math i can help you with your answer

Answer:

  a. $4200

  b. $32,300

  c. $5814

  d. $30,686

  e. 2557.17

Step-by-step explanation:

The man can claim all of the allowances shown in the problem statement, except the single person's allowance.

  total allowances = married + young child + child in school + dependent relative

  total allowances = $2400 +500 +1000 +300 = $4200

__

The man's taxable income is his income after allowances have been deducted:

  taxable income = gross income - allowances

  taxable income = $36,500 -4,200 = $32,300

__

The tax is found by multiplying the tax rate by the taxable income.

  tax = (tax rate) ×(taxable income)

  tax = 0.18 × $32,300 = $5,814

__

The net income is the gross income less the taxes paid.

  net income = gross income - tax paid

  net income = $36,500 -5,814 = $30,686

__

The man's net monthly salary will be 1/12 of his annual net income.

  net monthly salary = $30,686/12 ≈ $2,557.17

Answer:

x = 2.7

Step-by-step explanation:

5.4 = 2x

2x = 5.4

Divide both sides by 2.

x = 2.7

Answer: x= 2.7

1. Divide 2 on both sides

2. cancel terms who have the same numerator and denominator

Answer:

(x+2/3) (x^2 - 2)

Step-by-step explanation:

First we can seperate the problem

(x^3 + 2/3x^2) + (-2x - 4/3)

We factor x^2 out of the first parenthesis

x^2(x + 2/3) + (-2x - 4/3)

and factor -2 out of the second

x^2 (x+2/3) +-2 (x +2/3)

then we rewrite it as

(x+2/3) (x^2 -2)

-- Gage Millar, alg1/2 tutor

Answer:

Answer:

Im soooooo hungry ughhh

Step-by-step explanation:

Hi

Answer:

x=17

Step-by-step explanation:

ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.

now we can set up the equation to find x like this:

29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)

x=17

the correct answer is B

hope I helped