For each function, determine if it intersects or is parallel to the line y = -1.5x. If it
intersects the line, find the intersection point.
y =0.5x +4
PLEASE ANSWER I HAVE 25 MINUTES LEFT PLEASE

Answers

Answer 1

Answer:

Intersects; intersection point: (-2,3)

Step-by-step explanation:

Substitute -1.5x for y into y=0.5x+4:

-1.5x = 0.5x +4

-1.5x - 4 = 0.5x

-4 = 2x

x = -2

Plug in -2 for x into y=-1.5x

y = -1.5(-2)

y = 3

Organize the x and y values into an ordered pair:

(-2,3)

Answer 2

Answer:

y=0.5x+4 intersects y=-1.5x.

The intersection point is (-2,3)

Step-by-step explanation:

First, note that if two lines are not parallel, then they must intersect eventually in one way or another. Note that since these are two lines, they will only have one intersection points.

So we have the equation:

[tex]y=-1.5x[/tex]

Parallel lines have the same slope. Therefore, a line parallel to this line also has a slope of -1.5

The equation given to us is:

[tex]y=0.5x+4[/tex]

As we can see, this does not have a slope of -1.5. Therefore, the given equation is not parallel to y=-1.5x. However, this does mean that it will intersect y=-1.5x.

To find the x-value of their intersection, simply set the equations equal to each other and solve for x.

[tex]-1.5x=0.5x+4\\-2x=4\\x=-2[/tex]

Now, plug -4 into either of the equations:

[tex]y=-1.5(-2)=3\\y=0.5(-2)+4=-1+4=3[/tex]

Therefore, the point of intersection is (2,3).


Related Questions

What is the coefficient in the expression

-10t - 0.05

Answers

Answer:

-10

Step-by-step explanation:

The coefficient is the number before the variable in an equation. In this case it's -10. Hope this helped!

I need help on answering this question

Answers

Answer:

The answer is 72°

Step-by-step explanation:

Since < RQS = < QLK and < RQS = x

< QLK is also x

< QLK and < KLM lie on a straight line

Angles on a straight line add up to 180°

To find x add < QLK and < KLM and equate them to 180°

That's

< QLK + < KLM = 180°

x + x - 36 = 180

2x = 180 - 36

2x = 144

Divide both sides by 2

We have the final answer as

x = 72°

Hope this helps you

given the functions w( x) =2x+1 and vw(x) =4x²+4x-5,find w¯¹(x) answer meeeee​

Answers

Answer:

Hello,

We don't need vw(x) !

[tex]w^{-1}(x)=\dfrac{x-1}{2}[/tex]

Step-by-step explanation:

[tex]w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}[/tex]

Simplify the radical

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}[/tex]

ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.

Step-by-step explanation:

The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.

Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.

Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.

Thus, m<CBD = 55°, which is ½ of m<arc CD.

m<arc CD = 110° = m<CAD.

m<CBD = ½ of m<CAD = 55°.

The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."

It takes the average person 5 days, 4 hours, and 600 minutes to walk 100 miles. How many hours does it take for the average person to walk 100 miles? Show all work for solving. You will lose points if you do not use two conversion factors.

Answers

24(hours)x5(days)= 120(hours)
600(mins)/60(mins)=10(hours)
120+10+4= 134hours

[tex] 5 day= 120h \\ 600m = 10h \\ 120 + 10 + 4 = 134h[/tex]

apply the dristrbutie property to factor out the greatest common factor of (8)(x)-20

Answers

Answer:

4(2x-5)

Step-by-step explanation:

8x - 20

Rewriting

4*2*x - 4*5

Factor out 4

4(2x-5)

If p(x) = 3x³-7x-4 and g(n)-4x^3-7x^2- 2x are polynomials then find the degree of p(x)+q (x)​

Answers

Answer:

3.

Step-by-step explanation:

p(x) + q(x)

= -x^3 - 7x^2 - 9x - 4

- whose degree is 3   ( the highest index is 3)

8x+6-9x=2-x-15
Help.

Answers

Step-by-step explanation:

︎︎︎︎ ︎︎︎︎ ︎︎︎︎︎ ︎︎ ︎︎︎︎❤︎❤︎❥︎ఌ︎ꨄ︎

[tex]8x + 6 - 9x = 2 - x - 15 \\ 8x - 9x + x = 2 - 15 - 6 \\ x = 2 - 15 - 6 \\ x = = 19[/tex]

8x+6-9x=2-x-158x-9x+x=2-15-6-x+x=2-210= -19

please mark this answer as brainlist

I need help ASAP!!!Please explain the answer

Answers

Answer:

The formula for area is length times width.

it's 8m long, and 6m wide. When we multiply it, we get 48m that is for one side of the cube, so we count how many sides there is. There's 6, so we multiply 6 times 48 and the complete surface area for the whole cube is 288m

What is the 100th term of the following sequence: 7, 10, 13, 16...?

Answers

Answer:

I got 304, because it goes up by 3, one hundred times and so you get 300, add seven, but since the sequence starts with the seven, you have to subtract 3. another way you can do it is by multiplying 99 by 3 and adding seven, which is probably the correct way, but i didn’t think of that at the time of doing the problem

There is a loss of Rs 5 when a watch is sold at the discount of 10%. IF the watch is sold at the discount of 5%, there is profit of Rs 22.50. Find the marked price of the watch.​

Answers

at disc of 10% there was 5rupees loss and at disc of 5 % dis there was 22.5 profit
so 5% *x= 22.5+5=27.5
x=27.5 *20
x=550

The lowest point in Asia is the Dead Sea, which is 396 meters below sea level. The lowest point in the USA is Death Valley, at 86 meters below sea level. How much high is Death Valley than the Dead Sea

Answers

Answer:

310 metres

Step-by-step explanation:

The lowest point in Asia is the Dead Sea, which is =396 meters below sea level.

The lowest point in the USA is Death Valley, a= 86 meters below sea level.

Therefore,

diference in their heights = 396-86 metres =310 metres

Answer:

310 meters higher

Step-by-step explanation:

396-86=-310

The difference btween -396 and -86 is the same as |396| and |86| so you can just subtract the positive numbers.

Melissa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. On Thursday there were 2 clients who did Plan A and 12 who did Plan B. Melissa trained her Wednesday clients for a total of 7 hours and her Thursday clients for a total of 19 hours. How long does each of the workout plans last? LengthofeachPlanAworkout:hour(s) LengthofeachPlanBworkout:hour(s)

Answers

Let Length of each Plan A workout be [tex] a[/tex]

and Length of each Plan B workout be $b$

on Wednesday,

$5a+3b=7$

$2a+12b=19$

multiply equation one by $4$ and subtract equation two from it

to get,

$18a=9$ or $a=\frac12$

substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$

What is the volume of the following prism?
7 m
3
Š
6 m

Answers

Answer:

v = 63

Step-by-step explanation:

v = 1/2(7)(6)(3)

v = 63

I need help really bad does can I contact anyone for help I need to complete or I fail really bad.

Answers

Step-by-step explanation:

45 >= 4x + 5

40 >= 4x

10 >= x (x <= 10)

and

53 > 4x + 5

48 > 4x

12 > x (x < 12)

so, both conditions need to be true (that is the meaning of "and").

how can that be achieved ? well, the harder, narrower condition beats any other.

so, when x <= 10, then it is automatically also smaller than 12.

so, the solution (inequality notation) is

x <= 10

and the graph just shows a line that starts at 10 (with a full, black dot at 10, as the point is included) and goes all the way to the left (to infinity and beyond ...)

85°
4x + 21°
what do I am suppose

Answers

Answer:

x= 16

4x+21 = 85 degrees

Step-by-step explanation:

The angles shown are vertical angles and vertical angles are equal

85 = 4x+21

Subtract 21 from each side

85 -21 = 4x+21-21

64 = 4x

Divide by 4

64/4 = 4x/4

16 = x

Answer:

16degrees

Step-by-step explanation:

As these angle are (vertically opposite angles)

So,85=4x+21,

85-21=4x

x=64/4

x=16degrees

In a basketball game, Noli scored 3 points by shooting the ball at a horizontal distance of 7 feet from the 10-feet-high hoop. Noli threw the ball 6 feet above the ground and the ball went twice as high as its initial horizontal distance from the hoop. What was the horizontal distance of the ball from Noli when it reached its maximum height?

Answers

Answer:

The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet

Step-by-step explanation:

The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet

The height of the hoop = 10 feet

The height from which the ball was thrown = 6 feet

The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop

∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet

The coordinates of points on the path of the ball are;

(0, 6), (7, 10), (x, 14)

The projectile in vertex form is y = a·(x - h)² + k

Where;

(h, k) = The x, and y-coordinate of the maximum height

The y-coordinate of the maximum height reached = k = 14 feet

The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height

At y = 6, x = 0, therefore, we get;

6 = a·(0 - h)² + 14 = a·h² + 14

6 = a·h² + 14

a = -8/h²

At y = 10, x = 7, we get;

10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14

10·h² = -8·(7 - h)² + 14·h²

-4·h² =  -8·(7 - h)²

4·h² - 8·(7 - h)² = 0

-4·h² + 112·h - 392 = 0

h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)

h ≈ 4.1, or h ≈ 23.9

We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet

Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet

solve equation show all steps what is 2x-3x+5=18

Answers

Answer:

x = -13

Step-by-step explanation:

2x-3x+5=18

Combine like terms

-x +5 = 18

Subtract 5 from each side

-x +5-5 = 18-5

-x = 13

Multiply each side by -1

x = -13

Answer:

[tex]\huge \boxed{{x=-13}}[/tex]

Step-by-step explanation:

[tex]2x-3x+5=18[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]-1x+5=18[/tex]

[tex]\sf Subtract \ 5 \ from \ both \ sides.[/tex]

[tex]-1x+5-5=18-5[/tex]

[tex]-1x=13[/tex]

[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]

[tex]-1x \times (-1)=13 \times (-1)[/tex]

[tex]x=-13[/tex]

Padma cycled p km on Monday. She cycled 8 km less on Tuesday. What was the distance she cycled on Tuesday?

Answers

Distance cycled on Monday = p km

Distance cycled of Tuesday

= 8 km less than the distance cycled on Monday

= p km - 8 km

= (p - 8) km

So, distance cycled of Tuesday is (p - 8) km.

how many squares would be in the 7th pattern?

Answers

Answer: I believe in would be 28.

Explanation:

Answer:

I would say that there would be 28 squares in the 7th pattern.

Step-by-step explanation:

If you look at how the pattern is gradually increasing every time you add the number located at the bottom to the previous pattern. So if that is the rule then you would add 7 more squares to the 21 squares in the 6th pattern. Then you add

21 + 7 and you get 28.

Ex: In the first pattern there is 1 square and then in the 2nd pattern you see that there is an additional 2 squares which is the number at the bottom of the actual pattern.

*Idk if this is the actual rule to the pattern so please do not come for me if I am wrong but this is the way my brain sees the patterns in the picture. I also went ahead and tried my theory for all the patterns in the picture and it works :)

I really hope that this helps you understand the question a bit more! :)

Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression 35900 (3000 + 400m) to represent the size of his debt after m months. Which number describes the value of his signing bonus?​

Answers

Answer:

 

Step-by-step explanation:

 

2x+3-x=7

what is the answer to this by using solving multistep equations using combining like terms

Answers

Hey there! I'm happy to help!

Like terms are numbers with the same variable and same power. 5 and 7 are like terms because they have no variable. 6x and 6y are not because they have different variables. 7x² and 6y² are also not like terms because they have different variables. 7x and 5x are like terms, and 5y³ and 9y³ are like terms.

We see that 2x and -x have the same variables. We can then combine them.

2x-x=x

Now we have x+3=7.

We subtract 3 from both sides, giving us x=4.

Have a wonderful day! :D

your answer will be x=4

In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance?

Answers

Answer: Yes, because the results are unlikely to occur by chance.

Step-by-step explanation: apparently, the weight loss program has a statistical significance, because the results are likely to also occur by chance. because it occurrs by chance, this applits to a happening which has occurred without an intent, volition, or plan. an event or encounter that occurs by chance usually implies an occurrence of some importance.

Can someone help?
Identify the coefficients and degree of each item

Answers

Answer:

first term: degree=4, coefficient= -2

second term: degree=3, coefficient=1

third term: degree=1, coefficient= -8

fourth term: degree= 1, no coefficient

fifth term: degree=2, coefficient=5

Step-by-step explanation:

Answer:

Hey there!

First term, degree 4, coefficient -2.

Second term, degree 3, coefficient 1

Third term, degree 1, coefficient -8

Fourth term, degree 1, coefficient none

Fifth term, degree 2, coefficient 5

Hope this helps :)

can anyone please help me out?? 3rd time posting this question and I really need help!!!!
Please help y'all I'd greatllyyy appreciate itt!!!!!!!!!!! (no links)

Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

Answers

Answer: C

please mark brainliest

PLEASE HELP ASAPP :(
Find the area of triangle ABC.

Answer Options:
A. 18.52 units²
B. 12.16 units²
C. 15.14 units²
D. 31.27 units²

Answers

Answer:

Option C, 15.14 units²

Step-by-step explanation:

area of the triangle,

6.82×5.04×sin(61.73)/2

= 15.1365001284..

= 15.14 units² (rounded to the nearest tenth)

The required area of the irregular triangle is 15.14 unit². Option C is correct.

Given that,
A figure of the triangle is shown,
Side AB = a =6.82
Side BC = b = 5.04
Angles, ∠A = 45.03°, ∠B = 61.73°.

What is the triangle?

The triangle is a geometric shape which includes 3 sides and the sum of the interior angle should not be greater than 180°.

What is altitude?

Altitude is perpendicular bisector to the side of the triangle from the opposite vertex of the triangle.

The area of the given triangle can be given as,
Area = 1/2 * a * b sinB
       =  1/2 * 6.82 * 5.04 * sin61.73°
       =  1/2 * 6.82 * 5.04 * 0.88
       =  15.14 unit²

Thus, the required area of the irregular triangle is 15.14 units². Option c is correct.


Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ5

!20 Point! Please help me find the surface area!

Answers

PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!

Answer:

192 square inches

Step-by-step explanation:

Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:

As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:

FIND AREA OF ONE TRIANGLE (1/2 x b x h)

1/2 x 8 x 12 = 48 square inches

MULTIPLY BY 4 for SURFACE AREA:

48 x 4 = 192

so the SA is 192 square inches!

brainliest?

Answer:

The base is 12 the height is 8.

Using the formula of finding the area of a triangle: BH x 1/2

8 x 12 x 1/2 = 48 Area of one triangle.

Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.

48 x 4 = 192 in2 is your surface area

(haven't done this in quite a while so make sure to check other answers for more reassurance)

Hi how do I solve this simultaneous equation

Answers

Answer:

for the first one find a common dinominator which is 6 because you multiplied 2 times 3 which is 6 you have to do the same for the top so 3 multiplyed by 3 is 9 than the same for the other side than for x

Step-by-step explanation:

The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.

Answers

9514 1404 393

Answer:

  x = (√2)/2

Step-by-step explanation:

The diagonal is √2 times the side length (x), so ...

  1 = x√2

  √2 = 2x . . . . . multiply by √2

  (√2)/2 = x . . . . divide by 2

The side length x is (√2)/2.

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