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adell [148]
3 years ago
6

9=0" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
strojnjashka [21]3 years ago
4 0
X² + 18x + 79 = 0
x = <u>-(18) +/- √((18)² - 4(1)(79))</u>
                       2(1)
x = <u>-18 +/- √(324 - 316)</u>
                     2
x = <u>-18 +/- √(8)
</u>              2<u>
</u>x = <u>-18 +/- 2√(2)
</u>               2<u>
<em /></u><em />x = -9 <u>+</u> √(2)
x = -9 + √(2)      x = -9 - √(2)
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Line c passes through points (1, 14) and (7, 7). Line d is perpendicular to c. What is the slope of line d?
anyanavicka [17]

Answer:

6/7

Step-by-step explanation:

Your first step will be to find the slope of Line C. Using the slope formula of \frac{y_{2}-y_1 }{x_2-x_1}, the slope of Line C is \frac{7-14}{7-1} = \frac{-7}{6}.

If Line D is perpendicular to C, that means the slope is the negative reciprocal of Line C. So, that means the slope is 6/7.

3 0
2 years ago
What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = Start
djyliett [7]

Answer:

h=7

Step-by-step explanation:

We want to solve the equation:

\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}

We multiply through by the LCM: h^2-25=(h+5)(h-5)

(h^2-25*\frac{1}{h-5}+(h^2-25)*\frac{2}{h+5}=\frac{16}{h^2-25}   \times(h^2-25)

Simplify to get:

h+5+2(h-5)=16

We expand to get:

h+5+2h-10=16

h+2h=16+10-53h=21

h=7

4 0
3 years ago
Read 2 more answers
Section J in an arena has 20 rows.Each row has 15 seats.All tickets cost $18 each.If all the seats are sold how much money will
bekas [8.4K]

Answer:Total amount of money collected for arena J = $5400

Step-by-step explanation:

Section J in an arena has 20 rows.

Each row has 15 seats. This can also means that section J has 20 rows and 15 columns. The rows and column form a rectanglar shape. This means that the total number of seats would be number of rows × number of columns

= 15 × 20 = 300 seats

All tickets cost $18 each. If all the seats are sold, that means that each seat cost $18 each.

Total amount of money collected for arena J would be total number of seats × the cost per seat.

Total amount of money collected for arena J = 300 × 18 = $5400

5 0
4 years ago
AP statistics:<br><br> What is the easiest way to understand sample size?
Sveta_85 [38]

Answer:

Step-by-step explanation:

za/2: Divide the confidence interval by two, and look that area up in the z-table: .95 / 2 = 0.475. ...

E (margin of error): Divide the given width by 2. 6% / 2. ...

: use the given percentage. 41% = 0.41. ...

: subtract. from 1.

8 0
3 years ago
Question:
AleksandrR [38]

Answer:

x=8 and y=3 (So, yes!)

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

−x+4y=4;−x+3y=1

Step: Solve −x+4y=4 for x:

−x+4y+−4y=4+−4y(Add -4y to both sides)

−x=−4y+4

-x/-1 = -4y+4/-1 (Divide both sides by -1)

x=4y−4

Step: Substitute 4y−4 for x in −x+3y=1:

−x+3y=1

−(4y−4)+3y=1

−y+4=1(Simplify both sides of the equation)

−y+4+−4=1+−4(Add -4 to both sides)

−y=−3

-y/-1 = -3/-1 (Divide both sides by -1)

y=3

Step: Substitute 3 for y in x=4y−4:

=4y−4

x=(4)(3)−4

x=8(Simplify both sides of the equation)

<u>Answer:</u>

x=8 and y=3

4 0
2 years ago
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