Find the slope of the line passing through points -2, 2 and 2, 0
We can find the slope by using the slope formula. Also know rise over run.
[tex] \large \bold{m = \frac{rise}{run} }[/tex]
[tex]m = \frac{2 - 0}{ - 2 - 2} \\ m = \frac{2}{ - 4} \\ m = - \frac{1}{2} [/tex]
From the slope-intercept y = mx+b.
[tex] \large \bold {m = slope } \\ \large \bold {b = y - intercept }[/tex]
Answer[tex] \large \boxed { - \frac{1}{2} }[/tex]
Answer:
-1/2
Step-by-step explanation:
Going from (-2, 2) to (2, 0), x (the run) increases by 4 and y (the rise) decreases by 2. Thus, the slope of this line is m = rise / run = -2/4 = -1/2.
Graph 3x + 4y < 24
Please I need it now
type your equation into the desmos app and you can see the answer
Hope it helps :)
↓Graph Provided Below↓
What's the unit rate for 15 plates in 3 stacks?
A: 3 Plates Per Stack
B: 4 Plates Per Stack
C: 5 Plates Per Stack
D: 6 Plates Per Stack
Answer:
My pretty sure its 5
(don’t count on it too much, this is my first answer)
Step-by-step explanation:
Landen's front lawn measures 20 feet by 80 feet. He counts to find that there are
120 blades of grass per square inch. How many blades of grass are in the entire
lawn?
Answer:
[tex]27,648,000[/tex]
Step-by-step explanation:
The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].
He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.
Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].
Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.
Ben made a sundial in his backyard by placing a stick with height 6 in. straight into the ground, and marking the hours in the grass. To test it, he checks the time each day when the sun makes an angle of 30 degrees or 60 degrees with the ground. Select all the possible lengths of the shadow when Ben checks the sundial.
a) 12 in.
b)2 rad 3 in.
c)8 in.
d)6 rad 3 in.
e)2 rad 2 in.
Answer:
B and D
Step-by-step explanation:
Answer:
The answer is 6√3in and 2√3in. Just finished taking the quiz, hope this gives you some conformation! :)
Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points
Answer:
0+2+-4=-2
Step-by-step explanation:
Which plant is the furthest below the surface
of the water?
A. sea grass
B. green seaweed
C. mangrove
D. red algae
Answer: The answer is seagrass
Step-by-step explanation: I did it and got it right
Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <3
Answer:
m∠3 = 105°
Step-by-step explanation:
Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.
m∠3 + m∠6 = 180° [Consecutive interior angles]
Since, ∠6 = 75° [Given]
m∠3 + 75° = 180°
m∠3 = 180 - 75
= 105°
Therefore, measure of ∠3 is 105°.
In the given diagram, the measure of ∠3 is 105°
From the question,
We are to determine the measure of ∠3
In the diagram, ∠3 and ∠6 are consecutive interior angles
NOTE:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
That is,
∠3 + ∠6 = 180°
From the given information,
∠6 = 75°
Then, we can write that
∠3 + 75° = 180°
∠3 = 180° - 75°
∠3 = 105°
Hence, the measure of ∠3 is 105°
Learn more on finding the measures of angles here: https://brainly.com/question/2883630
Suppose that Omar's marginal utility for cups of coffee is constant at 1.5 utils per cup no matter how many cups he drinks. On the other hand, his marginal utility per doughnut is 10 for the first doughnut he eats, 9 for the second doughnut he eats, 8 for the third he eats, and so on (that is declining 1 unit for each additional doughnut consumed). Suppose that coffee costs $1.00 per cup and doughnuts $1.00 each, and Omar has a budget that he can spend only on doughnuts and coffee. How large would his budget need to be before he would spend a dollar on coffee?
Answer:
$6.5
Step-by-step explanation:
The marginal utility per dollar of a commodity is obtained by:
Marginal utility of coffee = 5.5
Price of coffee = $1
The marginal utility of doughnut declines by 1 per additional unit of donut consumed :
10 / 1, 9 /1..... 1/1
Therefore , before a dollar can be spent on coffee, then the marginal. Utility of coffee should be greater than doughnut.
5.5 doughnuts will be purchased, at this time marginal utility of doughnut will be 5.5/1, the 6th doughnut will have a marginal utility of 5 which is less than that of coffee.
Cost of 5.5 donuts = $5.5
Cost of coffee = $1
Total = $(5.5 + 1) = $6.5
Penny reads 14 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page?
Answer: your
Pages per hour: 42
Hours per page: 1/42 of a hour
Step-by-step explanation:
14 x 3 = 42
1 hour divided by 42 pages = 1/42 of an hour per page
The ratio : y is 3:1
Which of the following statements is correct?
A x is 3/4 of y
B y is 1/3 of x
c x is 1/3 of y
D y is 1/4 of x
Answer:
y is 1/3 of x
Step-by-step explanation:
x:y is 3:1
mathematically, we have this as;
x/y = 3/1
x = 3y
or y = x/3
So the correct answer is that y is 1/3 of x
How does hiphop use energy as a element of dance PLEASE ANSWER
Answer:
Energy can happen with movement. Dance requires a bunch of movement.
dancing is the use of force, tension, and weight.
Type the correct answer in the box. Use numerals instead of wc
The length of each side of a square increases by 2.5 inches to
original square was
inches.
Question serial: FIB-3A42-E542-4CD6
P
Answer:
me dont know solve it your self HAHAHHH loser
Step-by-step explanation:
The golf club runs a competition.
The total prize money is shared in the ratio 1st prize:2nd prize = 9: 5.
The 1st prize is $500 more than the 2nd prize.
Calculate the total prize money for the competition.
Answer:
The total prize money for the competition is $1750
Step-by-step explanation:
Let us solve the question
→ The golf club runs a competition
∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5
∵ The 1st prize is $500 more than the 2nd prize
∴ The difference between the 1st prize and the second prize = $500
→ Find the difference between the terms of the ratio
∴ The difference in the terms of the ratio = 9 - 5 = 4
→ By using the ratio method
→ 1st : 2nd : difference
→ 9 : 5 : 4
→ x : y : 500
→ By using the cross multiplication
∵ x × 4 = 9 × 500
∴ 4x = 4500
→ Divide both sides by 4 to find x
∴ x = 1125
∴ The 1st prize is $1125
∵ y × 4 = 5 × 500
∴ 4y = 2500
→ Divide both sides by 4
∴ y = 625
∴ The 2nd prize is $625
∵ The total prize = 1st prize + 2nd prize
∴ The total prize = 1125 + 625
∴ The total prize = 1750
∴ The total prize money for the competition is $1750
Skyla wants to buy a massage table to start her spa business. She sees one she wants for $1,200. If she can save $13 a week, how many weeks will it take her to save up for the massage table?
Answer:
27 because you have to multipli and then divide
Answer:
about 93 weeks
Step-by-step explanation:
divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks
Can any kind soul help me ASAP
The blue is the shaded region
Answer:
200π/3 cm^2
Step-by-step explanation:
The answer is explained in the above photo
Dylan went to a banquet at the end of the meal equal amounts of pieces of chocolate blueberry and pecan pie were passed out randomly to the guest what is the probability that dylan will receive the apple pie
Answer:
1/2
Step-by-step explanation:
Find the value of x.
Z
Y
11x – 10
80°
W
X
Answer: I think the value of x is 20 but im not sure
Step-by-step explanation:
no explanation here
is 2x+12 less than and equal to 14
Answer:
less than
Step-by-step explanation:
you cant add 2x to 12 because of the x.
Answer:
no, more then i think
Step-by-step explanation:
even we don't know what x is x is coud make the number bigger so 14x is bigger then 14
Can someone help me with this?
What is the length of the each side?
please someone help
Answer:
each side 5
Step-by-step explanation:
with 2 equal internal base angles, we know this is an isosceles triangle
this being isosceles also tells us that the 2 opposite sides are also equal
Therefore: x + 2 = 3x - 4
solving for x
x - 3x = -4 -2
-2x = -6
x = -6 ÷ -2
× = 3
substituting x:
x +2 = 3 + 2 = 5
3x-4 = 9 - 4 = 5
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
On the left triangle, the shorter side is labeled 4 inches and the longer side is labeled 10 inches. On the right triangle, the shorter side is labeled x inches and the longer side is labeled 20 inches.
The two triangles above are similar. Find the value of x. Be sure to explain your steps.
Answer:
8
Step-by-step explanation:
We are dealing with similaraty and similar shapes length are in proportion so we are going to set up an proportion.
Length of left triangle small side/ Length of left triangle long side= length of right triangle small side/length of right triangle long side
4/10=x/20
Cross multiply: 10x=80
x=8
Answer:
x = 8 inchesStep-by-step explanation:
As the triangles are similar, their corresponding sides will have same ratio:
left short side /right short side = left long side / right long sideor simpler
s₁/s₂ = l₁/l₂Substitute values to find the missing one:
4/x = 10/204/x = 1/2x = 4*2x = 8The missing side is 8 inches long
help plz i dont undertand
Answers:
x = 4AB = 36BC = 36AC = 36All three sides are 36 units long.
===========================================================
Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
AB = 8x+4 = 8*4+4 = 32+4 = 36BC = 11x-8 = 11*4-8 = 44-8 = 36AC = 9x = 9*4 = 36We get the same value for the three side lengths, so this confirms we have the correct x value.
What is the value of x^2 – 3 when the value of x is 4?
Answer: the value is 13
Step-by-step explanation:
we simply substitute the letter for the number 4.
4^2 - 3
16 - 3
13
Answer:
13
Step-by-step explanation:
The sum of two numbers is 8. The difference between the two numbers is 2. What are the numbers? x + y = 8 x - y = 2 *Use the tables to list the possibilities
Answer:
x=5 y=3
Step-by-step explanation:
x+y=8 1
x-y=2 2
x+y=8
y=8-x
substitute into 2
x-(8-x)=2
x-8+x=2
2x=10
x=5
substitute x into 1
5+y=8
y=3
5+3=8
5-3=2
-7y-8=6y+18 i need help with this urgent!
Answer:
Y= -2
Step-by-step explanation:
Does 2+1= 18? thank youuuu
Answer:
2 + 1 = 3
Step-by-step explanation:
A box in the shape of a cube has a side length of 1 1/2 feet. What is the volume of the box?
Answer:
Step-by-step explanation:
V cube=s^3, where is the side of the cube
1 1/2ft=3/2 ft
V=(3/2)^3=27/8 ft^3=3 3/8 ft^3
V=3.375 ft^3
HEELP ASAP
1. Evaluate the following algebraic expression: 8h ÷ 12 when h=3
Step-by-step explanation:
3h ÷ 12
= but this is wt I know❤️
Answer:
8 (3) /12 = 24/12, 24/12= 2
The graph of 3x − 2y = -1 is shown on the grid.
Answer:
slope: 3/2, y-intercept: (0,1/2)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.