1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
emmainna [20.7K]
3 years ago
12

Which of the lines graphed has a slope of -1/2 and a y-intercept of 3?

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
8 0

Answer:

The answer is image 3.

Step-by-step explanation:

The equation for the line will be y = (-1/2)x + 3 so the gradient is negative and you will have to find the x-intercept and y-intercept.

x-intercept :

let \: y = 0

0 =   - \frac{1}{2} x + 3

\frac{1}{2} x = 3

x = 3 \div  \frac{1}{2}

x = 6

y-intercept :

let \: x = 0

y =  -  \frac{1}{2} (0) + 3

y = 3

Elodia [21]3 years ago
8 0

Answerc

Step-by-step explanation:

You might be interested in
A square window has an area of x2 + 22x + 121 square feet. Find the length of one side of the square.
Aloiza [94]
The answer is A(x+11)
6 0
3 years ago
Read 2 more answers
Which type of visual aid best allow students to show a numerical information?
ryzh [129]

Graphs

°°°°°°°°°°°°°°°°

4 0
3 years ago
Number 10 on my integrated geometry test
Andrei [34K]

Answer:

sin 63° = a / 10

Step-by-step explanation:

With reference angle A

Sin A = BC / AB

Sin 63° = a / 10

Hope it will help :)

7 0
2 years ago
Ashley puts 45 stamps in an album. She puts the same number of stamps on each page,and 3 stamps on the last page. There are 2 mo
ludmilkaskok [199]
45 pages total
3 on last page
45-3=42
there are 42 on the rest of the pages
on each page, there are 2 more pages in album than then stamps on pages

amount of stamps on pages with equal number of stamps is
A=numberofpgest times number of stamps on pages
number of pages=p
number of stamps per papge=s
a=ps

2 more pages than stamps on pages
p=2+s
total number of stamps per page is s=(45-3)/(p-1)
(what I did is I first got rid of number of stamps on last page, then got rid of the last page)
P=2+s
s=(45-3)/(2+s-1)
s=42/(s+1)
times s+1 both sides
s^2+s=42
minus 42
s^2+s-42=0
factor
(s-6)(s+7)=0
set equal to zero
s-6=0
s=6

s+7=0
s=-7, false, no negative stamps


6 stamps per page

sub
p=2+s
p=2+6
p=8
8 pages

check
last page is 3 so 8-1=7 page left

7*6=42
3+42=45

correct


there are
8 pages in the album
6 stamps per page
6 0
2 years ago
| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the
Westkost [7]

Answer:

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

          <u>Left</u>      <u>Speed(km/h)</u>      <u>Time</u>

Car:   12PM            X  

Van:   12PM           60

Car/Van

DistanceCar        AB + z

DistanceVan       Az

Ratio:                  (AB+z)/Az  = 7/5

Time until both meet = T (in hours)

Distance Car:            xT

Distance Van:           60T

====

  xT = AB + z

  60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is:    time (hr) = 108 km/(84 km/h)

                                                 time = 1.286 hours

Distance for at 1.289 hours is:    distance (km) = (60 km/h)*(1.286 h)

                                                   distance = 77.14 km

At 1.286 hours, the car reverses direction.  The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours.  The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let <u>t</u> be the time <u>after</u> 1.286 hours that both vehicles meet/collide.

t*(60 km/h)  +  t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

==============

<u>CHECK</u>

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

<u><em>YES</em></u>

     

3 0
2 years ago
Other questions:
  • you have a 90 pound calf you are raising for a 4-H project. You expect the calf to gain 65 pounds per month. In how many months
    12·1 answer
  • Type the correct answer in the box.
    12·1 answer
  • True or False: The expressions 3x^2y and 7yx^2 are like terms.<br><br> True<br><br> False
    7·1 answer
  • At a dinner, the meal cost $22, plus a sales tax of $1.87 was added to the bill, for a total of $23.87. What would the sale tax
    14·1 answer
  • Priya's cat weighs 5 1/2 pounds and her dog weighs 8 1/4 pounds
    12·1 answer
  • Joe used a coupon that allowed him to stay 5 nights at the Pleasant Dreams hotel for a total of $410. If he had not used the cou
    13·1 answer
  • 11 There are men and women at a meeting.
    5·1 answer
  • Determine the slope and y-intercept of a line through the points (-2,6) and (4,-3)
    7·1 answer
  • Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba
    8·1 answer
  • PLEASEEE HELP!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!