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
KATRIN_1 [288]
3 years ago
8

michael was driving at a constant speed of 60 mph when he crossed the sandy river .after 1 hour he passed a highway marker for m

ile 84 . write an equation in point slop form and find which highway marker he will pass 90 minutes after crossing the sandy river
Mathematics
2 answers:
Alik [6]3 years ago
5 0

speed of Michael = 60 mph

distance traveled in 1 hour = speed* time= 60 *1 = 60 miles

marker crossed after 1 hour = 84

so start point of Michael had marker = 84-60 =24

to write linear equation, lets consider a general linear equation y = mx + c

where m is slope and c is constant, y is marker and x is actual distance traveled from starting point

putting y = 84 x = 60 and y =24 and x = 0 in the equation we get

84 = m*60 + c

24 = m*0 + c

on  solving,

m = 1  c = 24

so the equation is y = x + 24

distance traveled in 90 minutes after crossing sandy river = 60*90/60 = 90 miles

total distance traveled from starting point = 90+60 = 150

putting  x = 150 in y =x+24

y = 174

highway marker he will pass 90 minutes after crossing the sandy river = 174

Klio2033 [76]3 years ago
4 0
Slope intercept form is y=mx+b so use your numbers  to fill in the blanks 

heres an example:
You might be interested in
Paige Sanders bought a dozen eggs at a store for 3.65. She bought the same size eggs the next week at the same store for 2.92. W
algol13
The percent of decrease is $0.73. To get that subtract 3.65-2.92 which equals 0.73. 

Hope it helps
6 0
2 years ago
If x=12 What is the value of the expression2(x)+3
GaryK [48]

Answer:

147

Step-by-step explanation:

2(X)= (X) x (X)

12 x 12 + 3= 144+3=147

7 0
2 years ago
-5(3t-5)+7t=8t-6 solve.
saw5 [17]
<span>-5(3t-5)+7t=8t-6
-15t + 25 + 7t = 8t - 6
-15t + 7t - 8t = -6 - 25
-16t = -31
16t = 31
t = 31/16 = 1.9375</span>
5 0
3 years ago
1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)
Sveta_85 [38]

Answer:

1. -5x+3y+44=0

2. 2x+y-2=0

3. 2x+y-4=0

Step-by-step explanation:

Standard form of a line is Ax+By+C=0.

If a line passing through two points then the equation of line is

y-y_1=m(x-x_1)

where, m is slope, i.e.,m=\dfrac{y_2-y_1}{x_2-x_1}.

1.

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)

y+3=\dfrac{-5}{-3}(x-7)

y+3=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

-5x+3y+9+35=0

-5x+3y+44=0

Therefore, the required equation is -5x+3y+44=0.

2.

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2 x + y =-5.

Slope of the line : m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

y-2=-2(x-0)

y-2=-2x

2x+y-2=0

Therefore, the required equation is 2x+y-2=0.

3.

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y =-5.

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

y-0=-2(x-2)

y=-2x+4

2x+y-4=0

Therefore, the required equation is 2x+y-4=0.

5 0
3 years ago
I need this please 64 points!
myrzilka [38]

Answer:

None. Wanda's work is correct.

Step-by-step explanation:

The first is correct.

3 0
3 years ago
Read 2 more answers
Other questions:
  • 1. What is the measure of each interior angle of a regular hexagon?
    8·1 answer
  • Find the ratio of 3 3/4 to 7 1/4
    9·1 answer
  • 90 students were surveyed about their favorite subject in school between Math and Social Studies. How many students chose only m
    12·1 answer
  • What does x equal if 8x - 4 equals 4x plus 1
    15·2 answers
  • R minus the sum of 4 and p equals
    7·1 answer
  • Fast I need thsi for a test I trust you guys pleased
    14·1 answer
  • Calculus Application
    10·1 answer
  • Tbh this question confusing the **** outta me​
    14·1 answer
  • A chemist has 5 1/10 kg of calcium chloride. If she uses 0.15 kg of the compound each time she performs and experiment, for how
    13·1 answer
  • Solve for x????????????????????
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!