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2 years ago

Can yall help me out

Mathematics

2 answers:

Tamiku [17]2 years ago

8 0

Answer:

-4/5

Step-by-step explanation:

$\frac{1}{10}+-\frac{9}{10}=-\frac{8}{10}=-\frac{4}{5}$

vodka [1.7K]2 years ago

3 0

Answer:

0.8

Step-by-step explanation:

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Write the equation for the parabola that has x− intercepts (−2,0) and (1.2,0) and y− intercept (0,−4).

schepotkina [342]

Answer: The answer is $15y+4=25(x-1.6)^2.$

Step-by-step explanation: We are to find the equation of the parabola with x-intercepts (-2,0), (1.2,0) and y-intercept (0,-4).

Therefore, axis of symmetry is

$x=\dfrac{1.2+2}{2}\\\\\Rightarrow x=1.6.$

Let the equation of the parabola be $y=a(x-1.6)^2+k.$

Substituting the points (x,y)=(0,-4) and (1.2,0) in the above equation, we find that

$-4=a(0-1.6)^2+k\\\\\Rightarrow k=-2.56a-4$

and

$0=a(1.2-1.6)^2+k\\\\\Rightarrow k=-0.16a.$

Solving the above two equations, we get

$a=-\dfrac{5}{3}~~\textup{and}~~k=-\dfrac{4}{15}.$

So, putting the values of 'a' and 'k' in the equation of the parabola, we get

$y=-\dfrac{5}{3}(x-1.6)^2-\dfrac{4}{15}\\\\\Rightarrow 15y+4=-25(x-1.6)^2.$

Thus, the equation of the parabola is $15y+4=25(x-1.6)^2.$

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4 years ago

Question 24 of 25

Ymorist [56]

Answer:

$common \ ratio ,r =\frac{a_{2} }{a_{1} } = \frac{12}{72}=\frac{1}{6}$

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3 years ago

The equation below describes a proportional relationship between x and y. What is the constant of proportionality?

seraphim [82]

5.36 is the constant of proportionality
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4 years ago

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The midpoint of segment XY is (6, -3). The coordinates of one endpoint are X(-1, 8). Find the coordinates of endpoint Y.

Snezhnost [94]

Answer:

The answer to your question is: Y = (13, -14)

Step-by-step explanation:

Data

midpoint = mp = (6, -3)

one endpoint = X = (-1, 8)

second endpoint = Y = (x, y)

Formula

Xmp = (x1 + x2) / 2

Ymp = (y1 + y2) / 2

Process

x2 = 2xmp - x1

y2 = 2ymp - y1

x2 = 2(6) - (-1) y2 = 2(-3) - 8

x2 = 12 + 1 y2 = -6 - 8

x2 = 13 y2 = - 14

Y = (13, -14)

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4 years ago