Use algebra to find the point at which the line h(x)=−(3/5)x+(7/5) intersects the line k(x)=(−8/3)x+(404/45).

Answers

Answer 1

Answer: the point (3.667, 0.8)

Step-by-step explanation:

We want to find the point at which the lines:

h(x) = -(3/5)*x + (7/5)

and

k(x) = (-8/3)*x + (404/45)

If the lines intersect, then we must have:

h(x) = k(x)

if we write the functions we get:

-(3/5)*x + (7/5) = (-8/3)*x + (404/45)

Now we need to solve this for x.

-(3/5)*x + (8/3)*x = (404/45) - (7/5)

(8/3 - 3/5)*x = 404/45 - 63/45 = 341/45

(40/15 - 9/15)*x = 341/45

(31/15)*x = 341/45

x = (341/45)*(15/31) = 3.667

Now we can input this value of x in the functions to get the output.

h(3.667) = -(3/5)*3.667 + 7/5 = -0.8

Then the point where our points intersect is the point (3.667, 0.8)


Related Questions

The water treatment plant has a tank with a leak. The water tank is leaking at the rate show on the graph.

Find the rate of change at one of the two identified points

Answers

Answer:

the water is leaking at a rate of 3/4 a gallon per hour

Step-by-step explanation:

we know this because rate of change is change in y over change in x and as y goes up 3 x goes up 4 so the rate of change is 3/4

Plz help ASAP and help me get it right.

Answers

Answer:

1/4 of 10

Step-by-step explanation:

1/4 of 10 is equal to 1*10/4

[tex] \frac{1}{4} \: of \: 10[/tex]

//

[tex]10 \div 4 = 2.5[/tex]

[tex] \frac{1}{4} \: of \: 10 = 2 \frac{1}{2} = 2.5[/tex]

–9 = –3(w − 5) help please!

Answers

Answer:

w = 8

Step-by-step explanation:

–9 = –3(w − 5)

-3(w - 5) = -9

w - 5 = 3

w = 5 + 3

w = 8

Answer:

hello! have a good day

w = 8

Line m passes through points (3, 15) and (10, 9). Line n passes through points (2, 9) and (9, 3). Are line m and line n parallel or perpendicular?

Answers

Answer:

The two lines 'm' and 'n' are parallel

Step-by-step explanation:

Explanation

Given that the line 'm' points (3,15) and (10,9)

The slope of the line 'm'

                = [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{9-15}{10-3} = \frac{-6}{7}[/tex]

Given that the line 'n' points (2,9) and (9,3)

The slope of the line 'n'

             = [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{3-9}{9-2} = \frac{-6}{7}[/tex]

The slope of line 'm' = The slope of  line 'n'

Both slopes of the lines are equal

∴ The two lines are parallel

Find the value of X in the figure shown.

Answers

You take the right angle degree and subtract it with the given number 90-68=22
B. 22

Answer:

22

Step-by-step explanation:

180°-90°-68°=22

in the figure below, what is m<1 if m<7= 60 dergrees

Answers

○=> Correct option :[tex]\tt\color{plum}\bold{(A) \: 60}[/tex]○=> Steps to derive correct option :

Given :

Measure of angle 7 = 60°

Angle 1 and angle 7 are corresponding angles, so their values will be equal.

Which means :

Angle 1 = 60°

Thus, the measure of angle 1 = 60°

Therefore, the correct option is (A) 60

PLZ help i'll give brainliest.

Answers

Answer:

3375

Step-by-step explanation:

15 ⋅ 15 ⋅ 15

Multiply  15  by  15 .

225 ⋅ 15

Multiply  225  by  15 .

Answer:

Volume=(length)^3

V= (15×15×15)mm^3 = 3375mm^3

Solve the following system of equations using the SUBSTITUTION METHOD.

SHOW YOUR WORK for full points. Write your answer as an (x,y) point.

x=4y-1
x+2y=11

Answers

Answer:

x = 7, y = 2

Step-by-step explanation:

x= 4y -1

since x is by itself 4y-1 will substitute for x in the other equation x+2y=11

it will become 4y-1+2y=11

+1 +1

add one to both sides since is doesn't have a variable.

it will become 4y+2y= 12 now add 4y+2y

becomes 6y=12

_ _

6 6

divide by 6 on each side and you get y=2.

now x=4(2)-1 you will substitute y into the first equation.

x=8-1 subtract 8 from 1 to get 7.

x=7

y=2

Answer:

hope it helpss

Step-by-step explanation:

hastag keri onlornengs

Suppose you deposit $1000 in an account earning 6% simple interest each year. How much would you earn in interest after 6 months?

Answers

You’d earn $30 in interest

Round 16.297 to the nearest hundredth?

Answers

Answer:

16.30

Step-by-step explanation:

16.29(7) seven is more than 5 so you add 1 to the number behind which is 9 so 29+1=30


What is the radius of a circle that has a
circumference of 78.8 inches?

Answers

Answer:

Easy... its 39.4

Step-by-step explanation:

Cirumference is the lenght all the way around the circle

while radius is only half the circle so you just divide the cirumference by 2 to get half.

Answer:

12.54

Step-by-step explanation:

Tell whether each system of equations has no solution or ,infinitely many solutions.​

Answers

Answer:

See below.

Step-by-step explanation:

x + 2 = x + 2 ⇒ Infinitely Many Solutions

3x + 1 = 3x - 10 ⇒ 1 ≠ -10 ⇒ No solutions

x + 4 = 2x + 4 ⇒ 4 = x + 4 ⇒ 0 = x ⇒ One solution

What is the center of the circle for this equation:
(x + 3)² + (y - 2)² = 25

Answers

The formula for the equation of a circle is (x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

So we need to find the values of (h, k) in order to find the center of the circle.

If we simply line up the equation of our given circle with our formula,

we can see that -h = 3 or h = -3 and -k = -2 so k = 2.

So now we have our answer.

center ⇒ (-3, 2)

Which of the following is the product (5y − 3)2?

A. 10y − 6
B. 25y2 − 30y + 9
C. 25y2 − 9
D. 25y2 + 30y − 9

Answers

Answer:

A

Step-by-step explanation:

distributive property

Answer:

I would say A

Step-by-step explanation:

it's A since 5y times 2 which is 10y and 3 time 2 is 6 and its still equivalent to (5y - 3) times 2 so it's 10y - 6

I will mark you brainiest if you can answer this

Answers

Answer:

D

Step-by-step explanation:

What is an altitude of a triangle

Answers

Answer:

An altitude of a triangle is a segment from a vertex of the triangle, perpendicular to the side opposite that vertex of the triangle.

Step-by-step explanation:

The Altitude(s) of a Triangle. An altitude of a triangle is a segment from a vertex of the triangle, perpendicular to the side opposite that vertex of the triangle

Question 8 (3 points)
Find the missing angle.
degrees
(Fill in the blank) PLEASE HURRY ILL GIVE BRAINLIEST

Answers

[tex]360 - 140 - 62 - 85[/tex]

[tex] = 73 \: degrees[/tex]

the sum of the angles in a quadrilateral is 360° so just subtract the angles you have with the total to find the missing angle.

Answer:

73°

Step-by-step explanation:

The angles add to 360 hope this helps

15 is no more than the difference of a number x and 2 as an inequality?

Answers

Answer:

Step-by-step explanation:

15 ≤ x-2

hurryyy!!!!!
and plz explain why

Answers

18,000 I think hope this helps

What is 9/24 inches?

Answers

Answer:

 i=√−1i=-1.

Step-by-step explanation:

so esa es la respuesta

what is the volume of Triangular Prism
8cm
8.9cm
15cm
8cm​

Answers

Answer:

8544

Step-by-step explanation:

I multiplied them all 8 x 8.9 x 15 x 8 = 8544

Geometric Sequences Question.

Answers

the common RATIO is 4

Step-by-step explanation:

sana nakatulong ito

Linear equations: Solve
12<10+3x<52

Answers

Answer:

The answer is 2/3<x<14

Step-by-step explanation:

I looked it up

Find the length of the third side. If necessary, round to the nearest tenth.
3
4

Answers

Answer:

5

Step-by-step explanation:

The length of the third side is, 5 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The length of two sides are 3 and 4.

Now, We can find the third side by Pythagoras theorem, we get;

⇒ x² = 3² + 4²

⇒ x² = 9 + 16

⇒ x² = 25

⇒ x = √25

⇒ x = 5

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Molly is getting balloons for her father's birthday party. She wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Molly wants to get 67 balloons, how many yards of string will she need?

Answers

U should do 9 divided by 67 and then u should get your answer

r(x) = -x -7 when x = -2,0, and 5

r(-2)=

r(0)= -7

r(5)= ​

Answers

Answer:

r (-2)= -(-2)-7

=+2-7=-5

hey guys i really need help pls dont waste the points i actually want help to understand how to solve equations like:

x + 2y = 4
or
y= -3/4x - 1

To get both the X value and the Y value? I would really appreciate it loves <3

Answers

Answer:

your question is unclear

Step-by-step explanation:

x+2y=4

-x -x

2y=4-x

divide by 2 to get y by it's self

y=2-(1/2x)

x+2y=4

-2y -2y

x=4-2y

i don't know if u want me to help u with the second one but i did it the first one

yooo wsp could I pls get help with my math?? tysm
which of the following options could represent a possible set of interior angles of a triangle?

1) 100°, 130°, and 130°
2) 25°, 3°, and 35°
3) 45°, 105°, and 120°
4) 30°, 70°, and 80°

Answers

Answer:

number 4 because a triangle is only concidered a triangle when it has an area of 180 degrees

Step-by-step explanation:

Choose the two expressions that are equivalent to 5. 75 ÷ 1. 15
A: 575 ÷115
B: 5,750 ÷ 1,150
C: 5,750 ÷ 115
D: 575 ÷ 1,150​

Answers

Answer:

A and B, but I’m gonna explain it the best I can too.

Step-by-step explanation:

5.75 divided by 1.15 is the same as answer A, since all you are doing is taking away the periods, making it whole numbers.

Again 5.75 divided by 1.15 is the same as B as well, Since it is the same just without the periods and an added zero at the end of each.

This Is so that they are both all equivalent by being whole numbers, but whatever you do to one numbers in the expression that you think is the answer you have to do to the other numbers in the expression

they have to add up completely the same.


What is the slope of the line that passes through the points (-2,7) and (2, -5)?
Write your answer in simplest form.

Answers

Answer:

m=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Slope = Rise/Run

We can find the amount between 7 and -5 as 12, and -2 and 2 as 4.

Then we can do rise/run and 12/4

Which would divide into 3.

ANd because we can see the x increases as the y decreases, we can find that it's a negative slope.

-3

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