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3 years ago

14

On a coordinate grid, point A is at (−4.0, −2.4) and point B is at (4.0, −2.4). Point B is a reflection of point A across the __

_–axis. Input either a lowercase x or y.

1 answer:

Vlada [557]3 years ago

7 0

Answer:

It would be a reflection on the y axis

Step-by-step explanation:

because you have a point on the left side of the y axis and one on the tight side too.

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Consider the following planes. x + y + z = 6, x + 7y + 7z = 6 (a) Find parametric equations for the line of intersection of the

Lelechka [254]

Answer:

a. $x=6,y=-6t,z=6t$

b. $\theta=29.5^{\circ}$

Step-by-step explanation:

We are given that

$x+y+z=6$

$x+7y+7z=6$

a.Substitute z=0

$x+y=6$ ...(1)

$x+7y=6$ ..(2)

Subtract equation (1) from equation (2)

$6y=0$

$y=0$

Substitute y=0 in equation(1)

$x=6$

The point (6,0,0) lie on a line.

$r_0=(x_0,y_0,z_0)=(6,0,0)$

Let $A=$

$B=$

$A\times B=\begin{vmatrix}i&j&k\\1&1&1\\1&7&7\end{vmatrix}$

$A\times B=i(7-7)-j(7-1)+k(7-1)=-6j+6k$

Therefore, the vector $a'=(a,b,c)=$

Line is parallel to vector a' and passing through the point (6,0,0).

The parametric equation is given by

$x=x_0+at,y=y_0+bt,z=z_0+ct$

Using the formula

The parametric equation is given by

$x=6,y=-6t,z=6t$

Angle between two plane

$a_1x+b_1y+c_1z=d_1$

and $a_2x+b_2y+c_2z=d_2$

$cos\theta=\frac{(a_1,b_1,c_1)\cdot (a_2,b_2,c_2)}{\sqrt{a^2_1+b^2_1+c^2_1}\cdot \sqrt{a^2_2+b^2_2+c^2_2}}$

Using the formula

$cos\theta=\frac{(1,1,1)\cdot(1,7,7)}{\sqrt{1+1+1}\times \sqrt{1+7^2+7^2}}$

$cos\theta=\frac{1+7+7}{\sqrt 3\times 3\sqrt{11}}$

$cos\theta=\frac{15}{3\sqrt{33}}}=\frac{5}{\sqrt{33}}$

$\theta=cos^{-1}(0.87)=29.5^{\circ}$

Where $\theta$ in degree.

3 0

3 years ago

juantia spent 3/4 of he allowance at the mall. Of the money spent at the mall 1/2 was spent on new earphones. what part of her a

4vir4ik [10]

Answer:

3/8

Step-by-step explanation:

Juanita spent 3/4 of her allowance at the mall. Of the money spent at the mall, 1/2 was spent on new earphones. What part of her allowance did Juanita spend on earphones?

Correct Answer: 3/8

8 0

3 years ago

Charlie runs laps around a track. the table shows how long it takes him to run different numbers of laps. how long will it take

WARRIOR [948]

Answer:

20 (minutes)

Step-by-step explanation:

Look at the first columns, and it tells us that Charlie runs 2 laps in 8 minutes. Then simply divide by two, then you'll get that Charlie runs 1 lap in 4 minutes. So for five laps, multiply 4 by 5, which is 20.

3 0

3 years ago

Read 2 more answers

The length of a rectangle is 5 inches more than the width. The area is 33 square inches. Find the length and width . Round to th

EleoNora [17]

Answer:

the length and width . Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.

Step-by-step explanation:

The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as

A = L * W

As such, given that the length is 5 inches more than the width,

L = W + 5

33 = W(W + 5)

W² + 5W - 33 = 0

Using the formula method which states that

s = -b±√(b²-4ac)/2a

W = -5 ± √5² - 4(1)(-33)/2

= -5 ± 12.53/2

= 7.53/2 (since length cannot be negative)

= 3.755 inches

L = 3.755 + 5

= 8.755 inches

6 0

3 years ago

Which of the points do not lie on X-axis P(0,3), Q(1,0), R(0, -1), S(-5, 0), T(1, 2) do not lie on X-axis

Anna71 [15]

Answer:

c) P, R, and T

Step-by-step explanation:

the y coordinate has to be a zero in order for the point to lie on the X-axis

4 0

3 years ago