Answers
Answer:
The second line cuts the x-axis at x = -5/2.
Step-by-step explanation:
The given line:
[tex]3x-2y=12[/tex]
Intersects a second line at x = 2.
This second line is perpendicular to the first.
And we want to find the second line's x-intercept.
First, rearrange the first line into slope intercept form:
[tex]-2y=-3x+12[/tex]
So:
[tex]\displaystyle y=\frac{3}{2}x-6[/tex]
We can see that the slope of the first line is 3/2.
It intersects the second line at x = 2.
So, the y-value of both the first and second line at x = 2 is the same.
Find the y-value by using the first line:
[tex]\displaystyle y=\frac{3}{2}(2)-6=3-6=-3[/tex]
So, a point on both lines is (2, -3).
Since the second line is perpendicular to the first, its slope it the first's negative reciprocal.
The negative reciprocal of 3/2 is -2/3.
So, the slope of the second line is -2/3.
And we determined that it passes through (2, -3).
Then by the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute:
[tex]\displaystyle y-(-3)=-\frac{2}{3}(x-2)[/tex]
Distribute:
[tex]\displaystyle y+3=-\frac{2}{3}x+\frac{4}{3}[/tex]
So:
[tex]\displaystyle y=-\frac{2}{3}x-\frac{5}{3}[/tex]
The second line will cut the x-axis when y = 0.
So:
[tex]\displaystyle 0 =-\frac{2}{3}x-\frac{5}{3}[/tex]
Multiply both sides by -3:
[tex]0=2x+5[/tex]
Solve for x:
[tex]\displaystyle x=-\frac{5}{2}[/tex]
The second line cuts the x-axis at x = -5/2.
Related Questions
Classify the Polynomial by its number of terms.
Trinomia
O Polynomial
O Monomia
Binomial
Answers
Answer:
it is a polynomial because it has more than two terms
PLEASE ANSWER I’ll give brainliest!!
6.7.30
What is the perimeter of the parallelogram WXYZ?
Answers
Answer:
392?
Step-by-step explanation:
to find perimeter you add each side I think, so...
50 + 50 + 50 + 50 + 96 + 96 = 392
No clue if I did this properly but based on my math I did it right not sure the formula you are using/ should be using to figure this out.
Please can someone help?
Answers
Answer:
¹/10 and ¹/9 are under ¹/8 but I dont know about ³/10
The cross country team practices by jogging on
the town’s streets. The average jogging rate
is 6 mi
les per hour. One member jogged for
3.5 hours one weekend. How many mi
les did
the team member jog?
Answers
Zanara has 7 heart stickers and 24 cupid stickers. She wants to divide into 3 equal groups to give to her friends. How many stickers will each group have?
Answers
Answer: Each group will have 10 stickers.
Step-by-step explanation:
Given: Number of heart stickers = 7
Number of cupid stickers = 24
Total stickers = 7+24 = 31
If she divides them into 3 groups, then each group will have [tex]31 \div3[/tex] stickers
= 10 stickers ( 1 left) [ when we divide 31 by 3 , we get 10 as quotient and 1 as remiander ]
Hence, each group will get 10 stickers.
what is this pls help me 54 point to whoever helps me
Answers
Answer:
3 1/5
Step-by-step explanation:
could someone please help and fast
Answers
Answer:
x=48 degrees
Step-by-step explanation:
hope this helps :D
Answer:
x=162°
Step-by-step explanation:
interior angle of B= 180-75= 105°
interior angle of E=180-123=57°
105+57=162°
x=162°
Why doesn’t a skip with ad button pop up anymore
Answers
I still get a skip add button?
Answer:
That is because the specific ad is being paid
Step-by-step explanation:
And by the way some ads on yt do have the skip ad
The prob is that some are being paid for people to watch
If you order 3 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?
Answers
Answer:
There are 10 slices in one pizza.
Step-by-step explanation:
30 ÷ 3 = 10
Answer:
10 slices
Step-by-step explanation:
30÷3=10 meaning every pizza will have 10 slices and 2 pizzas will have 20.
find the product of 4h+6 and h-5
Answers
Answer:
4h^2 -14h - 30
Step-by-step explanation:
Foil the binomials:
Multiply the first two 4h^2
Multiply the outer two -20h
Multiply the inner two +6h
Multiply the last two terms -30
Then combine like terms and you get final answer
Right answer gets brainlist
Answers
Answer:
546
Step-by-step explanation:
Surface Area = 2(lw + lh + wh)
plug in 21 10.5 and 2.5
What’s the solution ??
Answers
Answer:
(5,-2)
Step-by-step explanation:
-4
-3
-2
-1
0
1
2
3
what is the inequality shown
Answers
Answer:
Ok, I'm pretty sure its -4
Dan invests £15000 into his bank account.
He receives 2.5% per year simple interest.
How much will Dan have after 4 years ?
Answers
Answer:
$16,557
Step-by-step explanation:
The computation of the amount after four years is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= £15,000 × (1 + 2.5%)^4
= £15,000 × 1.025^4
= $16,557
Ok last question its very "hard" mods don't delete
what is 3x+12= 42
Answers
Answer:
x is 10.
Step-by-step explanation:
3x + 12 = 42
Subtract 12 from both sides
3x = 42 - 12
Subtract 12 from 42 to get 30
3x = 30
Divide both sides by 3
x = 30/3
Divide 30 by 3 to get 10
x = 10
Elimination equations
9x - 4y = 19
4x+4y=20
Answers
X = 3
Sub back in,
12 + 4y = 20
Y = 2
Hope this helps and please mark me as brainliest, I’m trying to level up
The solution to the system of equations 9x - 4y = 19 and 4x + 4y = 20
is x = 3 and y = 2.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear.
Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, Two linear equations in two variables 'x' and 'y',
9x - 4y = 19 and 4x + 4y = 20.
Now, Adding these two equations we have,
13x = 39.
x = 3 and hence y = 2.
learn more about linear equations here :
https://brainly.com/question/11897796
#SPJ2
Decrease 20g by 90% I don’t get this
Answers
Answer:
Step-by-step explanation:
If you wanna decrease the number 10 by 90%, It's just 9. You simply need to multiply a/100 at the number you try to decrease by a%.
Answer:
Decrease 20g by 90%: final value 2 gm
Step-by-step explanation:
decrease 90%: decrease 20 * 0.9 = 18
new value after decrease: 20 - 18 = 2
Choose the correct inequality statement to compare the following two integers.
9 and 2
options:
9 < 2
2 > 9
9 > 2
2 = 9
Answers
Answer:
3. trust me because 9 is leads than 2
through: (0, 3) and (3, -1)
Answers
Answer:
6 i think.
Hope this helps!
A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box?
Answers
Answer:
50 oranges
Step-by-step explanation:
4 kg is 4000 g
then, you would:
4000/80
= 50 oranges
explanation:
convert 4g to kg —> .08
4 dived by .08 is 50
A telephone pole is 54 feet tall. A guy wire runs 79 feet, from point A at the top of the telephone pole, to the ground at point B. The base of the telephone pole is at point C. Triangle ABC is a right triangle.
How far is it from the base of the telephone pole to point B where the guy wire is secured to the ground? Round to the nearest tenth of a foot.
ft
Answers
Answer:
57.7 ft
Step-by-step explanation:
54 squared + b squared = 79 squared
2916 + b squared = 6241
-2916 -2916
b squared = 3325
b = 57.7
Insta - Oreo.is.free
The distance that the base of the telephone pole to point B where the guy wire is secured to the ground is 57.7 feet
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given that triangle ABC is a right triangle.
Point A is the top of the telephone pole.
Point B is the point on the ground.
Point C is the base of the telephone pole.
Given,
AB = 79 feet
AC is the height of the telephone pole = 54 feet
Angle C is a right angle.
Using Pythagoras theorem,
(AB)² = (AC)² + (BC)²
79² = 54² + (BC)²
(BC)² = 79² - 54²
(BC)² = 3325
BC = √3325 = 57.66 ≈ 57.7 feet
Hence the length of the base of the pole form the ground where the wire is secured is approximately 57.7 feet.
Learn more about Pythagoras Theorem here :
https://brainly.com/question/21926466
#SPJ2
29,30,32,35,39,\ Which is the next number in this pattern?
Answers
Answer:
44
Step-by-step explanation:
it's adding one each time
Answer:
44 Its definitely this answer
Find the point where the two lines intersect (both problems, please. I don't understand it ;-; )
Answers
Answer:
point a to point b is only one lkine.
If you're looking for it's length then (11,-7), or 13.04
Step-by-step explanation:
Help pls on this i will give 40 points
Answers
Answer:
1/8 0r 0.125
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation:
so its 1/2 x 3. so 1/2x1/2 which is 1/2 then 1/2 times 1/2 which is just 1/2 again
-8 is a term true or false
Answers
True, -8 is a term. Have a great day.
What is a slope in mathematical terms
Answers
Answer:
"The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)."
Answer:
It is how steep a linear graph/function is.
Step-by-step explanation:
It is the m in the formula y=mx+b. The bigger the member the steeper.
The triangles shown are similar. Which angle corresponds to angle E
Answers
Answer:
Angle P
Step-by-step explanation:
Zeda described four triangles as shown below:
Triangle P: Two angles measure 50°.
Triangle Q: All sides have length 13 cm.
Triangle R: Two sides have length 3 cm, and the included angle measures 60°.
Triangle S: Base has length 5 cm, and base angles measure 30°.
Which triangle is not a unique triangle? (5 points)
Triangle P
Triangle Q
Triangle R
Triangle S
Answers
Answer:
Triangle P
Step-by-step explanation:
Given RS = 6, ST = 3, and SL = 4, find the required measure. (Part of the answer is provided for you.)
KT =
Answers
Answer:
https://brainly.com/question/1593288
Step-by-step explanation:
This was answered previously on here
Answer:
Square root of 61
Step-by-step explanation:
It was correct on my assignment
you estimate a lion weighs 250 pounds. the actual weight of the lion is 320 pounds. find the percent error. round your answer to the nearest tenth of a percent.
Answers
Answer:
21.9%
Step-by-step explanation:
Percent error = amount of error/actual amount
320 - 250 = 70
70/320 (division) = 0.21875
percent = 21.875%
Rounding to nearest tenth = 21.9%
Your answer should be 21.9%, so I hope this helps!
Answer:
22%
Step-by-step explanation: