what is the value of x

Answer:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))

Step-by-step explanation:

Solve for t:

z = (h t^2)/2 + t q_1

z = (h t^2)/2 + t q_1 is equivalent to (h t^2)/2 + t q_1 = z:

(h t^2)/2 + t q_1 = z

Divide both sides by h/2:

t^2 + (2 t q_1)/h = (2 z)/h

Add q_1^2/h^2 to both sides:

t^2 + (2 t q_1)/h + q_1^2/h^2 = (2 z)/h + q_1^2/h^2

Write the left hand side as a square:

(t + q_1/h)^2 = (2 z)/h + q_1^2/h^2

Take the square root of both sides:

t + q_1/h = sqrt((2 z)/h + q_1^2/h^2) or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

Answer: t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))

Answer:

[tex] - 6 + 7s - 4r - 2 \\ \\ - 6 + 7(7) - 4( - 7) - 2 \\ \\ - 6 + 49 + 28 - 2 \\ \\ = 6 9[/tex]

I hope I helped you^_^

Answer:

x = 13

Step-by-step explanation:

A linear pair of angles sum to 180° , then

2x + 9 + 10x + 15 = 180 , that is

12x + 24 = 180 ( subtract 24 from both sides )

12x = 156 ( divide both sides by 12 )

x = 13

Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

Answer:

c

Step-by-step explanation:

Divide

39 / 13 = 3

Multiply

3 x 8 = 24

Answer:

n/39=8/13

Cross multiply

39*8=13n

n=39*8/13

n=24

Step-by-step explanation:

2:17

8:68

1:8.5

:D have a nice day

Answer: D

Step-by-step explanation:

v = 1/3bh

3v/b = h

Answer:

The commission rate is 14%.

Step-by-step explanation:

1% of 2100 is $21. $294 ÷ $21 = 14. Therefore, the commission rate is 14%.

Hope this helps!

Answer:

-7/5.

Step-by-step explanation:

Leave the denominators the same and subtract only the numerators. Since -3 is negative and 4 is a positive being subtracted, you get -7 as the numerator. So, it's -7/5.

Answer:

R___S___T

RT=RS+ST

(17y-33) =( 9y+3)+(3y+4)

17y-33 = 12y+ 7

17y - 12y = 7+33

5y= 40

y=40/5

y= 8

RS = 9y+3 = 9(8)+3= 72+3=75

ST= 3y+4 = 3(8)+4=24+4=28

RT= 17y-33= 17(8)-33= 136-33= 103 —>

Or ; RT=RS+ST =75+28= 103

I hope I helped you^_^

Answer:

3

Step-by-step explanation:

We cannot but partial balls so we need  whole number of balls.

we can use units to easily visualze the issue.

56 $/ball and we have $198.98. We need balls so we do

198.98 / 56 = 3.55

We can at most buy 3  balls.

EXTRA: 56 * 3 = 168

will have 30.98 leftover

Answer:

The answer is 6

Step-by-step explanation:

You can buy 6 balls.

Step-by-step explanation:

y = 23.28/6 x

y = 3.88 x

so, the constant of proportionality is 3.88

Answer:

Lets start off by clearing up the question,

I'm assuming it's asking m(x) * n(x). Doing so will make you foil it, giving you a quadratic/ polynomial.

Because it is a polynomial, we can assume all real numbers are defined. So really any poly works.

Edit: To clarify, you can make any quadratic equation and it will have the same domain as any polynomial is defined. So for example: x^2 + 2x + 5 works.

Answer:

10) 8              11) 10

Step-by-step explanation:

10)

12-4=8

? = 8

11)

7+2=9

19-9=10

TU = 10

[tex]\large \mathfrak{Solution : }[/tex]

10. Find TU :

Given values :

As we saw :.

11. Find TU :

Given values :

According to observation :

Answer:

a

Step-by-step explanation:

3 to power of 7 I think it is answer

Answer:

option A 9.1 is close to 90

Answer:

5.414

Step-by-step explanation:

Formula to find circumference is 3.14 x 2r

So we can create a algebraic expression.

3.14 x 2r = 34 / 3.14 = 10.828 / 2 = 5.414

Step-by-step explanation:

well you need to add the right expressions for the shorter lines so that there is no overlap. otherwise GK would be too long.

so, how can we combine the 3 red lines to get exactly GK ?

we cannot just add 2 of these lines. the results would always be either too long or too short.

but we see "2x + 3" overlaps a bit with "4x - 3". and hey, the third line "x" is just the length of the overlap of the other 2 lines.

so, we can add the first 2 lines, IF we reduce first one of them by the overlap length.

I picked the second line.

so, we have

2x + 3 - x + 4x - 3 = GK

5x = GK

so, "5x" is the algebraic expression representing GK.

now, if GK = 30, then we know

5x = 30

x = 6

GH = 2x + 3 - x (again, we need to shorten that line by the overlap length to count only to H)

= 2×6 + 3 - 6 = 6 + 3 = 9

JK = GK - GJ = 30 - (2x + 3) (here we need the full line, as we are dealing with J)

= 30 - 2×6 - 3 = 15

Answer:

4 1/3

Step-by-step explanation:

Hypothetically, imagine 2 5/6 was postive, you add it to 1 1/2 to get your answer, but you cant do that until the fractions have a common denominator. To get a common denominator of six, you would multiply both the numerator and denominator of 1/2 by 3, giving you 3/6. Now you have 2 5/6 and 1 3/6, adding them together gives you 3 8/6, but we cant stop here, since 8/6 is 1 2/6, add 3+1 and you now have 4 2/6. The last thing you do here is simplyfy the fraction making it 1/3 now instead of 2/6. Giving you a final answer of 4 1/3 units.

Answer:

Step-by-step explanation:

Since the perimeter is 46, and opposite sides of a rectangle are equal, we know that

(x+2)+(x+2)+(2x+3)+(2x+3)=46

Combine like terms to get: 6x+10=46

Subtract 10 from both sides to get: 6x=36

Divide both sides by 6 to get: x=6.

Answer:

f

(

x

)

=

5

x

2

+

2

x

−

5

,

g

(

x

)

=

7

x

+

8

,

h

(

x

)

=

4

x

2

−

10 i think is is right

Answer:

f(6) = 35

Step-by-step explanation:

f(6) means the function value for the x-coordinate  6. To find this, we need to find out which function to use (either 0 or 35x-175). 0≤x≤5 means that f(x)=0 for any value between 0 and 5 and including 0 and 5 themselves. However, we need to find the value for x=6, so we need to use the other function (35x-175). This gives us:

f(6) = 35 * 6 - 175 = 210 - 175 = 35

I hope this helps!

Answer:

25h = x

Step-by-step explanation:

If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!

Answer: The equation for the perpendicular bisector of line segment xy is .

Explanation:

It is given that the line segment xy has endpoints x(5,7) and y(-3,3).

The bisector divides the line segment xy in two equal parts, so the bisector must be passing through the midpoint of xy.

Midpoint of two points (x_1,y_1) and (x_2,y_2) is calculated as,

Midpoint of xy is,

So, the perpendicular bisector must be passing through the point (1,5).

The slope of line passing through the point (x_1,y_1) and (x_2,y_2) is calculated as,

Slope of line segment is . Therefore the slope of perpendicular bisector is -2 because the the product of slopes of two perpendicular lines is always -1.

The line passing through the point (x_1,y_1) with slope m is defined as,

Bisector passing through the point (1,5) with slope 2.

Therefore, the equation for the perpendicular bisector of line segment xy is .

Answer:

1/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

3-1/15-5

2/10

1/5

Best of Luck!

Answer:

Step-by-step explanation:

Using the Pythagorean's theorem,

DO²=DG²+GO²=3²+3²=2*3²

DO=3√2

JO=DO-DJ=3√2-3=3(√2-1)

[tex]Circonference=2*\pi*3*(\sqrt{2} -1)=6*\pi*(\sqrt{2} -1)[/tex] (cm)

≈7,8077... (cm)

Answer:

c) 2/15

Step-by-step explanation:

LA= 2/3 = 10/15

S=1/5 = 3/15

15/15 - 13/15 = 2/15

Math books= 2/15

Answer:

[tex]2 :\sqrt{\pi} [/tex]

Step-by-step explanation:

a.......... [tex] x_{1} [/tex]