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wel
3 years ago
10

Point C is located at (1, 2) and point D is located at (-4, -2). Find the X value for the point that is 1/4 the distance from po

int C to point D
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0
D (-4; -2)
C (1; 2)
M (x; y)
DM+MC=CD
CM:MD=1:3
M: x= x(C)-(x(C) - x(D))/4=1-(1-(-4))/4=1 - (6/4)=1 - 1,5= - 0,5
M: y=y(C)-(y(C) - y(D))/4=2-(2-(-2))/4=2 - (4/4)=2 - 1=1
M(x; y)=M( -0,5; 1)
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Complete the equation of the line through <br> (3,−1) (4,7)
user100 [1]

Answer:

Step-by-step explanation:

(3,−1) (4,7)

Slope = y₂-y₁/x₂-x₁

= 7- [-1]/4-3

=7+1/1 = 8/1

= 8

m = 8 ; (4,7)

y-y₁= m(x-x₁)

y - 7 = 8 * (x - 4)

y -7 = 8x - 32

y = 8x - 32 + 7

y = 8x - 25

6 0
4 years ago
What are the solutions of x ^ 2 + 6x - 6 = 10 ? x = - 11 x = 1 x = - 11 x = - 1 x = - 8x = - 2 x = - 8x = 2
zmey [24]

Answer:

x=-8 ,2

Step-by-step explanation:

x ^ 2 + 6x - 6 = 10

Add 6 to each side

x ^ 2 + 6x - 6+6 = 10+6

x ^ 2 + 6x  = 16

Complete the square  take the coefficient of the x terms, divide by 2 and square it.  Then add it to each side

6/2 =3  , 3^2 =9  

x ^ 2 + 6x +9 = 16+9

(x+3)^2 = 25

Take the square root of each side

sqrt((x+3)^2) = ±sqrt(25)

x+3= ±5

Make 2 equations

x+3 = 5    x+3 = -5

Subtract 3 from each side

x+3-3 =5-3             x+3-3 = -5-3

x =2                           x=-8

8 0
3 years ago
Jenny bought a blanket that was on sale for 25% off. She used a coupon for an additional 15% off any item. After the two discoun
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6 0
3 years ago
Read 2 more answers
What does g(n) equal
NikAS [45]
We are given the function: 
g(n) = 3 (\frac{7}{5} )^n

We need to find what g(-3) equals. 

What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3. 

g(-3) = 3( \frac{7}{5})^{-3}

Remember back to the order of operations. 

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent. 

Negative exponents make fractions FLIP. So our fraction will look like this: (\frac{7}{5})^{-3} =  (\frac{5}{7})^{3}

Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this: \frac{5}{7}* \frac{5}{7}* \frac{5}{7})

\frac{5^{3}}{7^{3}} =  \frac{125}{343}

We ARE NOT done! We still have this left: 
g(-3) = 3 \frac{125}{343}
Multiplying by 3 you get the following: 

\frac{375}{343}

So what does g(-3) equal? This right here: 

\frac{375}{343}
5 0
4 years ago
Pls find x, has to do with trig and answer has to be in radical form
MrMuchimi
I don’t have a calculator with me use sine 20divided by Sin(60) will give you x
7 0
3 years ago
Read 2 more answers
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