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amm1812
3 years ago
9

X/15=y/20=z/18 và 2x+3y-2

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

Chào em, em hãy xem lời giải dưới đây nhé!

Lời giải:

Vì  nên

Áp dụng tính chất của dãy tỉ số bằng nhau ta có

Hope I` Helpede` Momo papa

Step-by-step explanation:

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Consider the equation below.
Korvikt [17]

Answer:

Equation in square form:

y=3(x+5)^2-4

Extreme value:

(h,k)=(-5,-4)

Step-by-step explanation:

We are given

y=3x^2+30x+71

we can complete square

y=3(x^2+10x)+71

we can use formula

a^2+2ab+b^2=(a+b)^2

y=3(x^2+2\times x\times 5)+71

now, we can add and subtract 5^2

y=3(x^2+2\times x\times 5+5^2-5^2)+71

y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71

y=3(x+5)^2-75+71

So, we get equation as

y=3(x+5)^2-4

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

y=a(x-h)^2+k

where

vertex=(h,k)

now, we can compare and find h and k

y=3(x+5)^2-4

we get

h=-5

k=-4

so, extreme value of this equation is

(h,k)=(-5,-4)

6 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)
Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula y = mx + b. We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula  m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points into it. Then, simplify to find the slope, or m:

m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula y-y_1=m(x-x_1) and substitute values for m, x_1, and y_1. From there, we can convert the equation into slope-intercept form.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

y-3=1(x-0)\\y-3 = x\\y = x + 3

8 0
3 years ago
Don’t mind my handwriting but can someone help me please
Leno4ka [110]

Answer: A: 3/5

Step-by-step explanation:

He made 9 shots

He attempted 15

The ratio will be 9/15, which can be simplified to 3/5

Have a nice day :)

5 0
2 years ago
Write equations for the horizontal and vertical lines passing through the point (-2,-5).
erastova [34]

Answer:

  • y = -5
  • x = - 2

=============================

The horizontal line has same y- coordinate for each x- coordinate, and is parallel to the x-axis so it is:

  • y = - 5

The vertical line has same x- coordinate for each y- coordinate, and is parallel to the y-axis so it is:

  • x = - 2

<em>Refer to graphs.</em>

6 0
1 year ago
Athena hiked 6 miles in 2 hours . Which of the following can be represented by an equivalent ratio ? Explain your thinking
AnnZ [28]
12 miles in 4 hours. Check photo for the work and explanation and please mark me as brainliest if you think i helped you!

8 0
3 years ago
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