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n200080 [17]
3 years ago
15

Solve photo question. Mathematics again.

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0
The point slope formula is m = \frac{y2-y1}{x2-x1}
                                    Or  y₂-y₁ = m (x₂-x₁)
m is slope
Given point: (8, -4)
Slope:          -\frac{5}{6}

Substitute: 
                 y₂-(-4) = - \frac{5}{6} (x₂ - 8)
                 (minus minus = plus)
                 y₂ + 4 =-\frac{5}{6} (x₂ - 8)

The last option is the answer.
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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
Luke has 75 Vbucks in his account he spends 5 Vbucks every 2 hours. At this rate how many hours did it take for all 75 V bucks t
mel-nik [20]

Answer:

30

Step-by-step explanation:

i did the math lol

7 0
2 years ago
Which rate should be used to convert 15 yards:1 feet per hour?
Lena [83]

Answer:

B.

Step-by-step explanation:

1 yard:3 feet.

8 0
3 years ago
Can someone just answer these lol idk what to say .
Crank

Answer:

1.) -11x        2.)-2x

4 0
4 years ago
Read 2 more answers
Chris is 6 feet tall. To find the height of a tree, he measures his shadow and the tree's
Ket [755]

Answer:

click the the photo to see better

Step-by-step explanation:

6 0
3 years ago
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