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ziro4ka [17]
3 years ago
8

-2x-2+x^2+x+180+-2x-2=180

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

x= 4, -1

Step-by-step explanation:

-2x - 2 + x^2 + x + 180 - 2x - 2 = 180

add like terms and put in descending order

x^2 - 3x + 176 = 180

subtract 180 from both sides

x^2 - 3x - 4 = 0

factor out the equation

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

solve for x

x-4=0        x+1=0

x=4            x=-1

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what is an equation of the line that s perpendicullar to y-3=-4(x+2) and passes through the point (-5,7)
Sidana [21]

Answer:

4y=x+33

y=x/4+33/4 (slope-intercept form)

Step-by-step explanation:

y-3 = -4(x+2)

y-3 -4x-8

y= -4x-8+3

y= -4x-5

m1 = -4

For perpendicularity

m2= -1/-4 = 1/4

The equation is

y-y1 = m2(x-x1)

y-7 = 1/4(x-(-5))

y-7 = x/4+5/4

Multiply through by 4

4y-28=x+5

4y=x+5+28

4y=x+33

Divide through by 4

y=x/4+33/4 (slope-intercept form)

7 0
3 years ago
How much money must be deposited now in an
Liono4ka [1.6K]

Answer:

\$487.48

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ A=\$1,000\\ r=7.25\%=7.25/100=0.0725\\n=4  

substitute in the formula above

1,000=P(1+\frac{0.0725}{4})^{4*10}  

1,000=P(\frac{4.0725}{4})^{40}

P=1,000/(\frac{4.0725}{4})^{40}

P=\$487.48

5 0
3 years ago
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Aliun [14]

Answer:

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Step-by-step explanation:

Let

x ----> the time in minutes

y ----> the distance remaining in kilometers

we have the ordered pair (20,6)

That means

x=20 min

y=6 km

so

After 20 minutes, Shari had 6 kilometers left to run

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3 years ago
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kirill115 [55]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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Orlov [11]

Answer:

Step-by-step explanation:

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