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3 years ago

Triangle XYZ is shown on the coordinate plane below:

Mathematics

2 answers:

Ivanshal [37]3 years ago

5 0

The line y=1 is the horizontal line passing through the point (0, 1). We have drawn it with red.

The reflection across this line of each point X, Y, and Z is such that the distance of each X, Y, and Z is equal to the distance of each X', Y', and Z', respectively, to the red line.

According to our drawing, we see that the coordinates of X' are (3, 3).

Answer: a.

Marysya12 [62]3 years ago

5 0

Answer:

Step-by-step explanation:

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In the diagram below, p is a ________ .

Nina [5.8K]

In the diagram, p is a plane angle.

4 0

3 years ago

Write equations for the horizontal and vertical lines passing through the point (4, -5).

raketka [301]

Answer:

Horizontal line: y=-5

Vertical line: x = 4

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).

To determine the equation for the horizontal line passing through the point (4, -5), we must observe that the horizontal line will always have the same y-value regardless of the x-value.

Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5

To determine the equation for the vertical line passing through the point (4, -5), we must observe that the vertical line will always have the same x-value regardless of the y-value.

Therefore, the equation of the vertical line passing through the point (4, -5) will be: x=4

Hence:

Horizontal line: y=-5

Vertical line: x = 4

8 0

3 years ago

4. Find the value of the expression below for r=4 and t=2.

Katen [24]

Answer:

(a) 9

Step-by-step explanation:

$\sf t^3 - r + 20 \div r$

substitute r = 4, t = 2

$\sf (2)^3 - 4 + 20 \div 4$

simplify

$\sf (2)^3 - 4 + 5$

cubic of 2 is 8

$\sf 8 - 4 + 5$

simplify

$\sf 9$

5 0

2 years ago

Read 2 more answers

MATH HELP!!! 100PTS!!!

Lostsunrise [7]

Answer:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Step-by-step explanation:

Given functions:

$p(x)=2x-4$

$r(x)=\dfrac{6x-1}{9x+1}$

Solve for p(x) = r(x):

$\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}$

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=18, \quad b=-40, \quad c=-3$

Substitute the values of a, b and c into the quadratic formula and solve for x:

$\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}$

Therefore, the solutions are:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0

2 years ago

Please help me, its just question 11-14 !!

emmainna [20.7K]

Answer:

11- 64 degrees

12- 66 degrees

13- 89 degrees

14- 99 degrees

Step-by-step explanation:

11. 100 + 130 + 66 = 296

360 - 296 = 64

12. 103 + 133 + 58 = 294

360 - 294 = 66

13. 154 + 88 + 29 = 271

360 - 271 = 89

14. 101 + 92 + 68 = 261

360 - 261 = 99

hope this helps :)

4 0

3 years ago