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lilavasa [31]
4 years ago
12

A line that is perpendicular to y = -1 is a vertical line. Vertical lines have an undefined slope. True False

Mathematics
1 answer:
Anit [1.1K]4 years ago
8 0

Answer:

True

Step-by-step explanation:

Horizontal lines with equation y = c where c is the value of the y- coordinates the line passes through are parallel to the x- axis and have a slope of zero.

Vertical lines with equation x = c where c is the value of the x- coordinates the line passes through are parallel to the y- axis and have an undefined slope.

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Find the distance between these points. C(0, 4), T(-6, -3) √(37) √(109) √(85)
finlep [7]

Answer:

The answer is

<h2>\sqrt{85}</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{( {x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C(0, 4), T(-6, -3)

The distance between them is

<h3>|CT|  =  \sqrt{ ({0 + 6})^{2}  +  ({4 + 3})^{2} }  \\  =  \sqrt{ {6}^{2} +  {7}^{2}  }  \\  =  \sqrt{36 + 49}</h3>

We have the final answer as

<h3>\sqrt{85}</h3>

Hope this helps you

6 0
3 years ago
James says that: 3(2x * 3) = 5x + 9 what value of x would prove this?
Galina-37 [17]

Answer:

x=1

Step-by-step explanation:

6x•9=5x+9

x•9=9

3 0
3 years ago
Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5).
NemiM [27]

Let the coordinates of the circumcentre O of the triangle DEF be (x, y). Circumcentre of a triangle is equidistant from each of the vertices.

1. Distance OD=distance OE, then:

(x-1)^2+(y-3)^2=(x-8)^2+(y-3)^2.

2. Distance OD=distance OE, then:

(x-1)^2+(y-3)^2=(x-1)^2+(y+5)^2.

Solve the system:

\left\{\begin{array}{l}          (x-1)^2+(y-3)^2=(x-8)^2+(y-3)^2 \\          (x-1)^2+(y-3)^2=(x-1)^2+(y+5)^2         \end{array}\right.,

\left\{\begin{array}{l}          x^2-2x+1+y^2-6y+9=x^2-16x+64+y^2-6y+9 \\          x^2-2x+1+y^2-6y+9=x^2-2x+1+y^2+10y+25         \end{array}\right.,

\left\{\begin{array}{l}          14x=63 \\          -16y=16         \end{array}\right..

Then

x=\dfrac{63}{14} =\dfrac{9}{2} =4.5,\\  \\ y=-1.

Answer: the coordinates of the circumcenter for ∆DEF are x=4.5, y=-1.


5 0
4 years ago
a scale drawing of an automobile has a scale of 1 inch=1/2. foot. the actual width of the car is 8 feet what is the width on the
Tatiana [17]
The width of the scale drawing would be 16 inches. You need to convert the 1/2 ft to inches. Then figure out that 96in is equal to 8 ft. Then you divide 96 by 6.
8 0
4 years ago
First gets brainliest. Mr.John doe was figuring out his federal income tax. His income was $26800 but he was able to subtract $5
Alja [10]

Answer: His taxable income: 26,800 - 5,500 = 21,300

15% of his taxable income: 21,300 * 0.15 = 3,195

Step-by-step explanation:

8 0
3 years ago
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