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
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
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
Please can someone help?
Answers
Answer:
¹/10 and ¹/9 are under ¹/8 but I dont know about ³/10
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:
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
-8 is a term true or false
Answers
True, -8 is a term. Have a great day.
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.
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:
-4
-3
-2
-1
0
1
2
3
what is the inequality shown
Answers
Answer:
Ok, I'm pretty sure its -4
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
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°
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.
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
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
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
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
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.
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.
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
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:
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
What’s the solution ??
Answers
Answer:
(5,-2)
Step-by-step explanation:
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
The triangles shown are similar. Which angle corresponds to angle E
Answers
Answer:
Angle P
Step-by-step explanation:
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
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!
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
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
what is this pls help me 54 point to whoever helps me
Answers
Answer:
3 1/5
Step-by-step explanation: