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dmitriy555 [2]
3 years ago
10

Please help..............

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

Answer:

The first one.

Step-by-step explanation:

:)

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A line passes through (3, –2) and (8, 2).
EleoNora [17]
The point-slope form:
y-y_1=m(x-x_1)
m - slope
(x₁,y₁) - point

(3,-2) \\
x_1=3 \\ y_1=-2 \\ \\
(8,2) \\
x_2=8 \\ y_2=2 \\ \\ \hbox{the slope:} \\
m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{8-3}=\frac{2+2}{5}=\frac{4}{5} \\ \\ \hbox{the point-slope form:} \\
y-y_1=m(x-x_1) \\
y-(-2)=\frac{4}{5}(x-3) \\
\boxed{y+2=\frac{4}{5}(x-3)}

\hbox{the standard form:} \\
y+2=\frac{4}{5}(x-3) \\
y+2=\frac{4}{5}x-\frac{12}{5} \\
-\frac{4}{5}x+y=-\frac{12}{5}-2 \ \ \ |\times 5 \\
-4x+5y=-12-10 \\
\boxed{-4x+5y=-22}

The answer is D.
6 0
4 years ago
Determine whether the lines are parallel, perpendicular, or neither. <br> x = 3<br> and y = 4
Katyanochek1 [597]
I think they’re perpendicular lines
5 0
3 years ago
A triangular space between three streets has measurements shown. how much new curbing will be needed to go around the​ space? ho
IRISSAK [1]
If the right triangle has legs with lengths 42 m and 34 m and the hypotenuse with length 54 m, then you need:
1. P=42+34+54=130m (perimeter) of <span>new curbing  to go around the​ space between three streets;
</span>
<span>2. A= \frac{1}{2} \cdot 42\cdot 34=714 sq. m. (area) of </span><span>sod  to cover the​ space.
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All given choices are right.
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8 0
3 years ago
An equation of a circle is given as (x + 6)² + (y − 7)² = 81. Find the center and radius of the circle. Show all work to receive
Salsk061 [2.6K]
Center is (-6,7) and radius is 9. A circle with a center at (h,k) and a radius of r has the equation (x-h)^2 + (y-k)^2=r^2 so h= -6 k= 7 r is 9 you just work back wards, what two numbers multiplied gives you 81? Well 9
4 0
3 years ago
use the formula a=p(1+r/n)nt to find the compound interest account . zakk deposited $5600.0in an account which compounded 1.9%qu
Komok [63]

Answer:

A=\$6,768.75  

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\\ P=\$5,600\\ r=0.019\\n=4  

substitute in the formula above  

A=\$5,600(1+\frac{0.019}{4})^{4*10}  

A=\$5,600(1.00475)^{40}=\$6,768.75  

5 0
3 years ago
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