Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?

Answers

Answer 1

Answer:

          At (5, -4)

Step-by-step explanation:

The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line that passes through given point with a slope of m:  

y - y₁ = m(x - x₁)

Line A:

 [tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]

[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]

Line B:

 [tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]

[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]

Point of intersect means the same coordinates x and y.

So:

       [tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]


Related Questions

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cross-section on this cake?
A-perpendicular to
the base
B. diagonal to the
base cutting off
exactly 1 vertex
C. diagonal to the
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exactly 1 edge
D. parallel to
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Answer:

The answer is perpendicular to the base.

Step-by-step explanation:

Answer:

The answer is perpendicular to the base.

Step-by-step explanation:

Took the quiz! :)

When graphing the inequality y > 3x + 4, you will use a solid line iristead of a dotted line-
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Answer:

true

Step-by-step explanation:

State if the triangle is acute, obtuse, or right ​

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Answer:

right angle triangle

obtuse, using the Pithagorean Theorem we can deduce it is not a right triangle and since the result is bigger than that of a right triangle it is not acute

Can u help me with my work pls

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Answer:

The mountain is 8.

The map is 96.

The compass is 6.

The hiker is 54.

The train is 14.

The a corn is 26

Hope this helps.

36-4=32/4=8

24+24=48

48/16=3

4(9)=36

20-15=5

31-12=19

Trees=8
Map=48
Compass=3
Hiker=36
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Answer:

4

Step-by-step explanation:

1 ÷ 0.25 = 4

Please help!
(2/5x +5) - (1/5x - 3)

Answers

Answer:

2x over 5 + 8 + -x over 5

Step-by-step explanation:

I dont know if this is what youre looking for but hope it helps!

Answer:

1/5x + 8

Step-by-step explanation:

Let's simplify step-by-step.

2/5x + 5 − (1/5x − 3)

Distribute the Negative Sign:

= 2/5x + 5 + −1( 1/5x −3)

= 2/5x + 5 + −1 (1/5x) + (−1) (−3)

= 2/5x + 5 + −1/5x + 3

Combine Like Terms:

= 2/5x + 5 + −1/5x + 3 = (2/5x + −1/5x) + (5 + 3)

= 1/5x + 8

Answer:

= 1/5x + 8

hope this helps. p.s. i really need brainliest :)

What is the equation of the line that goes through the points (4,-1) and
(2,3)?

Answers

Answer:

y = -2x + 7

Explanation:

y = mx + b

m = slope

b = y-intercept

y = a given y coordinate

x = a corresponding x coordinate

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2

plug in the values to the equation y = mx + b

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

y = -2x + 7

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

I have 20 lemons. I cut each of them into halves and then cut THOSE halves into some more halves. How many HALVES do I have in all?

Answers

Answer:

80

Step-by-step explanation:

If you have 20 lemons then you half them, you can 40 halves, then after you half those haves you get 80.

The lemons are cut to get the total pieces of 80.

What is fraction?

An element of a whole is a fraction. The number is represented as a quotient in mathematics, where the numerator and denominator are divided.

Calculation for the fraction of the lemons cut:

Let 'x' the total number of lemons.

x = 20

As, the all lemons are cut in halves.

So, the quantity of the lemons are multiplied by 2.

2x = 2×20 = 40

The new value of x becomes 40 now.

Now, again the lemons are cut into halves.

2×40 = 80

Therefore, the total number of lemons after cutting are 80.

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15 is 20% of what number? Enter your answer in the box. ​

Answers

Answer:

75

Step-by-step explanation:

halp me pleaze................

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i’m pretty sure it’s c it’s seem like the only reasonable answer
You are right and it’s c

Algebraic form of an arithmetic sequence is 3/7n+1. What is
the first integer term of this sequence?

Answers

Answer:

First term = 10/7

Step-by-step explanation:

Given:

n term of arithmetic sequence = 3/7(n)+1

Find:

First term

Computation:

First term n = 1

So,

3/7(n)+1

3/7(1)+1

3/7 + 1

First term = 10/7

If x • y = z, which of the following statements is true?
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I need the right answer I'm on the last attempt plz

Answers

The answer is: z/y=x

quick test 2+2x68(8)=y

Answers

2176

Step-by-step explanation:

2+2=4 68(8)= 544

4× 68×8= 2176

if B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B​

Answers

Answer:

6

Step-by-step explanation:

because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry

Answer:
12 cm
Explanation:
A mid point is halfway between to points. If from A to B is 12 and B is the midpoint of AC, we know BC is 12 as well.
Here is a visual representation:

A___12___B___12___C

Have a wonderful day :)

Find the measure of angle a.

Answers

Answer:

a = 127°

Step-by-step explanation:

The 3 angles lie on a straight line and have a sum of 180°, that is

15° + a + 38° = 180°

53° + a = 180° ( subtract 53° from both sides )

a = 127°

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Answers

So number six the ratio is(3,3) I think and is Non-proportional

Question 3 (1 point) A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.

Answers

Answer:

72

Step-by-step explanation:

Given that :

Triangle is right angled ;

Leg length = 21 ; hypotenus = 75 ; Length of missing leg =?

From Pythagoras :

Length of leg 2 = sqrt[(hypotenus )² - (length of leg1)²]

Let length of leg 2 = x

x = sqrt[(75 ² - 21²)]

x = sqrt(5625 - 441)

x = sqrt(5184)

x = 72

A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.

Please help I will give brainliest

Answers

Answer:

Step-by-step explanation:

SOMEONE PLEASE HELP!
Figures 1 and 2 below show two polygonal regions used to approximate the area of the given shape. Find the average area, in square units, of the given shape using figures 1 and 2.

Answers

Answer:

figure 1 is 8.5 units^2 and figure 2 is 3 units^2 and the average are is 5.25 units^2

The overestimated area, the underestimated area, and the average area will be 8.5 units², 3 units², and 2.75 units², respectively.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Since the area is covered with either a square or a triangle. Therefore, we can write the area of this two as,

Area of a square = 1 unit × 1 unit = 1 unit²

Area of triangle = 0.5 × 1 unit × 1 unit = 0.5 units²

The overestimated area, the number of square and triangles are,

Number of square = 6

Number of triangle = 5

Total overestimated area = (6×1unit²) + (5×0.5unit²) = 8.5 unit²

The under estimated area, the number of square and triangles are,

Number of square = 2

Number of triangle = 2

Total Underestimated area = (2×1unit²) + (2×0.5unit²) = 3 unit²

Furthermore, the average area is,

Average area = (Total overestimated area - Total Underestimated area)/2

                       = (8.5 units² - 3 units²) / 2

                       = 5.5  units² / 2

                       = 2.75 units²

Hence, the overestimated area, the underestimated area, and the average area will be 8.5 units², 3 units², and 2.75 units², respectively.

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Eight years ago, Manny was 4 years old. Let m equal Manny's age now. Circle every equation that shows Manny's age now.

Answers

Answer:

4+8=M or 4+8=12 or just 12

Step-by-step explanation:

there isnt anything to circle so but since he was 4, 8 years ago, you would add 4 and 8.

What is the perimeter of the composite figure?

Enter your answer in the box.
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Answers

Answer:

what

Step-by-step explanation:

for your answer of this question

perimeter =sum of all side.

sorry I am unable to find perimeter without figure.

I really need help!!!!

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Answer:

No

Step-by-step explanation:

You can't use the perpendicular bisector theorem because it doesn't intersect it at a right angle, (meaning it isn't perpendicular)

Needed help! Answer when possible.

Answers

Answer:

The word "solution" means an action or process of solving a problem

99 is a solution to 1/9x = 11 because  multiplying both side of the equation by 9 makes x = 99

Can you help me with this math problem?

(x+ 2) ^ 2
(squared)

thankyou

Answers

Answer: x^2 + 4x + 4

Explanation:
just expand, factor out, and add together.

(x+2)(x+2)

x • x = x^2
2x + 2x = 4x
2 • 2 = 4

x^2 + 4x + 4

If Triangle ABC~ triangle DEC, find the value of x and the scale factor from DEC to ABC





Answers

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]

Then

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Find area of circle circumference or area

Answers

Answer:

closest option B (50.24)

Step-by-step explanation:

A=πr²

= π×4×4

=π×16

=50.265m²

Area:

50.24 m^2

Explanation:

The formula for the area of a circle is A = πr²,

where:

A = area, r = radius

Diagram:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 4\ m}\end{picture}[/tex]

Plug in the data. I'll use 3.14 for pi.

[tex]\bf{A=\pi \times4^2}\\\bf{A=3.14\times16}\\\bf{A=50.24\:m^2}[/tex]

Hence, area = 50.24 m^2

Robert rented a web address for his company's website. His contract required a fee of $25 a month for the web address. However, Robert receives a $0.13 discount for every friend he refers to during a month. There is also a special new customer discount of 15% off the first month. What is Robert's first month's bill, if he refers 6 friends?

Answers

Answer: $20.59

Step-by-step explanation:

0.13 * 6 = 0.78

25 - 0.78 = 24.22

85% * 24.22 = 20.59

24 college students were hired as ushers for a concert. This is 30% of the students who applied for the job. How many college students applied to be ushers

Answers

Answer:

80 students applied

Explanation:

24 ÷ 30 × 100

= 0.8 × 100

= 80

i hope this helps! :D do comment if you need any clarification.

Answer:

80 students

Step-by-step explanation:

if 30%=24

100%=?

100%/30%*24

=80

5.solve for x 6. solve for x​

Answers

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]

----------------------------------------------------------

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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