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3 years ago

Help me please I don’t understand

Mathematics

2 answers:

statuscvo [17]3 years ago

5 0

Answer:

Step-by-step explanation:

It says he walked 2(3/4) miles in 2 hours, and it wants to know how far he walked in 1 mile, which would be that number divided by 2.

2(3/4) is the same as 2.75

2.75/2=11/8

which is equivalent to 1(3/8) miles

BigorU [14]3 years ago

3 0

Answer:

1 3/8

Step-by-step explanation:

Double the denominator and numerator to make the numerator even, then divide the numerator by 2 while not changing the denominator any further. This gives you 1 and 3 eighths. Half of 2 is one, so you combine these to get 1 & 3/8

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A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

aleksklad [387]

The spider's movement is an illustration of a parabola.

The equation of a parabola is: $\mathbf{y = -\frac{1}{160}(x - 40) + 10}$
The focus of a parabola is: (40,-30)
The axis of symmetry is: $\mathbf{x = 40}$
The directrix is: $\mathbf{y = 50}$

<u>(a) The equation</u>

The spider passes through the origin.

So, we have:

$\mathbf{(x,y) = (0,0)}$

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

$\mathbf{(h,k) = (40,10)}$

The equation of a parabola is:

$\mathbf{y = a(x - h)^2 + k}$

So, we have:

$\mathbf{0 = a(0 - 40)^2 + 10}$

Subtract 10 from both sides

$\mathbf{a(0 - 40)^2 =- 10}$

$\mathbf{1600a =- 10}$

Solve for a

$\mathbf{a =- \frac{1}{160}}$

Substitute $\mathbf{a =- \frac{1}{160}}$ and $\mathbf{(h,k) = (40,10)}$ in $\mathbf{(h,k) = (40,10)}$

$\mathbf{y = -\frac{1}{160}(x - 40) + 10}$

<u>(b) The focus, directrix and the axis of symmetry</u>

The focus of a parabola is:

$\mathbf{Focus= (h, k + p)}$

Where:

$\mathbf{p = \frac{1}{4a}}$

So, we have:

$\mathbf{p = \frac{1}{4 \times -1/160}}$

$\mathbf{p = -\frac{160}{4}}$

$\mathbf{p = -40}$

So, we have:

$\mathbf{Focus = (40,10-40)}$

$\mathbf{Focus = (40,-30)}$

The axis of symmetry is:

$\mathbf{x = h}$

So, we have:

$\mathbf{x = 40}$

The directrix is:

$\mathbf{y = k - p}$

$\mathbf{y = 10 + 40}$

$\mathbf{y = 50}$

Read more about parabolas at:

brainly.com/question/25237745

4 0

3 years ago

A second order differential equation for the function yt is... O a differential equation involving the second power of y a diffe

Neporo4naja [7]

Answer: Hi! A second order differential equation for the function y(t) has the next shape:

$y''(t) + p(t)y'(t) + q(t)y(t) = g(t)$

Where p(t), q(t) and g(t) are functions of t.

Then a second order differential equation for y is a differential equation involving the second derivative of y.

Is useful to remember that the order in a differential equation tells us the number of derivations involved in our function, for example, a "third order differential equation" is that involving the third derivative of y, but usually for orders above of two, are called "higher orders differential equations"

3 0

4 years ago

Point B has coordinates (1,2). The x-coordinate of point A is negative 8. The distance between point A and point B is 15 uni

olchik [2.2K]

Answer:

The point A will be (-8,14) or (-8,-10).

Step-by-step explanation:

Point B has coordinates (1,2) and the x-coordinate of point A is - 8.

Let us assume that the coordinates of point A are (-8,k).

Now, given that the point A is 15 units apart from point B.

Therefore, from the distance formula, we can write that

$\sqrt{(1 - ( -8))^{2} + (2 - k)^{2}} = 15$

Now,squaring both sides, we get

$(1 - ( -8))^{2} + (2 - k)^{2} = 225$

⇒ $(2 - k)^{2} = 225 - 9^{2} = 144$

⇒ 2 - k = ± 12

⇒ k = 14 or -10.

Therefore, the point A will be (-8,14) or (-8,-10). (Answer)

We know that the distance between two points on the coordinate plane ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ ) is given by

$\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$ .

7 0

4 years ago

Someone please help me with this

qwelly [4]

Answer:

165x>_ 175y

Step-by-step explanation:

Car #1 is x while Car #2 is Y, since Car #1 went at least the same amount of distance of car #2, it means that Car #1 either went farther or has the same distance as car #2. (Make sure you choose greater than or equal to sign not greater than!)

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3 years ago

In the number 1,435,957 in what place value is the 3?

frez [133]

Answer:

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Step-by-step explanation:

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3 years ago

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