when given two points, you can find the slope of the line that passes through those points by using the slope formula
7. A(1,3), B(4,7)
(the ordered pair you choose to use for x1,y1 could be the other ordered pair, it doesn't really matter)
plug in
8. C(3,5), D(-2,6)
plug in
9. E(-4,0), F(5,5)
plug in
10. K(-4,4), L(-5,4)
plug in
Answer:
Step-by-step explanation:
The equation is:
Simplify both sides,
Multiply both sides by 2/75,
Hope this will help you!!
Answer: 250 students.
Step-by-step explanation:
Let x students in 6th grade either purchased their lunch or brought their lunch from home on Monday.
According to the question,
24% of the students purchased their lunch.
⇒ (100-24)% of the student brought their lunch from home.
⇒ 76 % of the student brought their lunch from home.
But, Again according to the question,
190 students brought their lunch from home.
⇒ 76 % of x = 190
⇒
⇒
⇒
⇒ x = 250
Therefore, there are total 25 students in the 6th grade.
2. A ) yes they form a line together
B) No they do not form a straight line
C) Yes are formed by the intersection of two straight lines
D) No
Answer:
<u>10 + 3π cm</u>
Step-by-step explanation:
In the given figure,
- Radius of arc/circle = 6 cm
- Length + width of rectangle = 8 cm
Here, we are asked to find the perimeter of the shaded figure, i.e, SA + AC + CT + Arc SBT.
The perimeter of arc SBT can be found using the formula 2πr/4 [Given ⟶ arc SBT = quarter (¼) of a circle].
So,
2πr/4
= 2π(6)/4
= 12π/4
= <u>3π cm</u>
Now, from the figure..
SA + AC + CT
= (SR - AR) + AC + (RT - RC)
By, rearranging the terms...
= SR + AC + RT - (AR + RC) ---------> (1)
Again, from the figure, we can see that,
- SR = RT = 6 cm (radii of the same circle)
- AC = RB = 6 cm (radii of the same circle)
- AR + RC = 8 cm (length + width of rectangle)
So, by substituting these values in (1)
SR + AC + RT - (AR + RC)
= 6 + 6 + 6 - (8)
= 18 - 8
= <u>10 cm</u>
And, the perimeter of the shade figure is,
SA + AC + CT + Arc SBT.
_________
Hope it helps!