(05.03 LC) 15 POINTS + BRANLIEST PLEASE HELP!!!!!

Mathematics

2 answers:

Vanyuwa [196]3 years ago

8 0

Initial value is the value of y where x = 0 (y-intercept).

You are already given that line contains point (0, 5). The y-coordinate is 5 therefore answer is C.
Please mark Brainliest

meriva3 years ago

4 0

Answer: 5

Step-by-step explanation:

We know that when a liner function is represented by a graph i.e. by a line, then its initial value is represented by the y intercept of the line.

In the given graph , we can see that the y-intercept of the function is point (0,5).

The y -intercept of the function : $y=5$

Then , the initial value of the function will also be 5.

Hence, the initial value of the function represented by this graph=5

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Write an equation in slope-intercept form of the line.

timurjin [86]

Answer:

y = -1/2x + 4

Step-by-step explanation:

You can see that the slope is -1/2 because of the rise over run.

It also crosses the y axis at 4,

so it is y = -1/2x + 4

4 0

3 years ago

Ned rode his bike 7 miles to the library. he took a shortcut on the way home which was only 5 miles long. how many miles did ned

kondor19780726 [428]

He took 12 miles your welcome

4 0

3 years ago

The area of trapezoid TRAP is 100 m squared

Anastasy [175]

Answer: 30 m ; (or, write as: "30 meters") .
______________________________________________
Explanation:
____________________

Area of a trapezoid, "A" = (1/2) ( b₁ + b₂) h ;
______________________________________________
or, write as: A = ( b₁ + b₂) h / 2 ;
___________________________________
in which: A = area;
b₁ = length of "base 1" (choose either one of the 2 (two bases);
b₂ = length of "base 2" (use the base that is remaining);
h = height of trapezoid;
____________________________________________
From the information given:
___________________________
A = 100 m² ;
h = 5 m
b₁ = 10 m
b₂ = x
___________________________
Find "x", which is: "b₂" ;
__________________________
A = ( b₁ + b₂) h / 2 ;
_____________________________
Plug in our known values; and plug in "x" for "b₂" ; and solve for "x" ;
_________________________________________________________
100 m² = [(10m + x) (5m)] / 2 ; Solve for "x" ;
_________________________________________________________
(10m + x) (5m) = (2)* (100m²) ;
_________________________________________________________
(5m) (10m + x) = 200 m² ;
___________________________________________
Note: The distributive property of multiplication:
____________________________________________
a(b+c) = ab + ac ;

a(b−c) = ab <span>− ac ;
</span>____________________________________________

We have: (5m) (10m + x) = 200 m² ;
____________________________________________
So: (5m) (10m + x) = (5m*10m) + (5m * x) ;

= 50m² + (5m)x ;
_______________________________________________
→ 50m² + (5m)x = 200m² ;
_______________________________________________
Divide the ENTIRE equation by "5m" ;
_______________________________________________
→ { 50m² + (5m)x } / 5m = (200m² / 5m) ;
_______________________________________________
→ 10m + x = 40m ;
________________________________________________
Now, subtract "10m" from EACH side of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________
→ 10m + x − 10m = 40m − 10m ;

to get:

→ x = 30 m ; which is our answer.
___________________________________________________
Answer: 30 m ; (or, write as: "30 meters") .
_____________________________________________________

6 0

3 years ago

Two cars leave a rest stop at the same time and proceed to travel down the highway in the same direction one travels at an avera

Alika [10]

The two cars will be 5.5 miles apart after 5.5 hours.

Step-by-step explanation:

Given,

Speed of first car = 57 mph

Time = 5.5 hours

Distance covered by first car = Speed * Time

Distance covered by first car = 57*5.5 = 313.5 miles

Speed of other car = 58 mph