Answer:
[tex]y = -\frac{2}{5} x-6[/tex]
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
[tex]m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\[/tex]
So, the slope of the line is [tex]-\frac{2}{5}[/tex].
2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] into the formula.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{2}{5}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
[tex]y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6[/tex]
EXTRA CREDIT: (5 POINTS)
The 6th grade is going on a field trip to the Stennis Space Center. In order to pay for the bus cost, more than 50 children must go on the field trip. There are already 27 students signed up to go. Which inequality could be used to show many more students must sign up to go.
Use the variable s to represent the students.
A.
s + 27 > 50
B.
s - 27 > 50
C.
s+ 50 < 27
D.
s + 50 > 27
PLEASE PLEASE PLEASE HELP HELP ME
Plz help me Find the indicated information
The length of the base of a triangle with a constant area varies
inversely as the triangle's height. When the base is 36 inches, the
height is 8 inches. Find the length of the base when the height is
12 inches.
Answer: 102
Step-by-step explanation:
I’ve done question a. But can you help me on b and c
Answer:
Step-by-step explanation:
b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km
Radius of Mercury = 4880÷ 2 = 2440 km
c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶
Mass of Saturn = 5.68 * 10²⁶
Difference = 18.98 * 10²⁶ - 5.68*10²⁶
= (18.98 - 5.68) * 10²⁶
= 13.30 * 10²⁶
= 1.330 * 10²⁷
The radius of a circle is 4.1 inches. What is the circle's circumference?
Answer:
C≈25.76in
Step-by-step explanation:
A basketball court is a rectangle that is 94 feet long. The area is 4700 square feet. What is the width of a basketball court?
A. 25 feet
B. 41 feet
C. 50 feet
D. 100 feet
Answer: C: 50 feet
Step-by-step explanation: The area of the basketball is 4700 square feet. We know that one side of the court is 94 feet long. To find the area for a rectangle, the formula would be Area=base times height. The "height" of this rectangle is 94 feet long. Now we need to find the base.
If you divide 4700 by 94, you will end up with 50 feet. To check, you multiply 50 by 94 and should end up with 4700. 50 feet is your base length.
what is the formula of this volume
Victoria knit a total of 4 centimeters of scarf over 2 nights. After 17 nights of knitting, how
many centimeters of scarf will Victoria have knit in total? Assume the relationship is directly
proportional.
O centimeters
Submit
Answer:
34
Step-by-step explanation:
4 over 2
32 over 16
2 over 1
32+2=34
d got cut off !! sorry
Answer:
c
Step-by-step explanation:
answer would be c
you should divide the two the two sides of the equation by 1/2b
so u get h alone in one of the sides.
Does anyone know the answers?
Answer:
a) It's translation
b) It's reflection
Tyler is simplifying the expression 6−2x+5+4x . Here is his work:
6−2x+5+4x
(6−2)x+(5+4)x
4x+9x
13x
a. Tyler’s work is incorrect. Explain the error he made.
Answer:
6-2x+5+4x=0
4x-2x= -6-5
2x= -11
x= -11/2
x= -5,5
I need help with this question
Answer:
It would be b I think
Step-by-step explanation:
Mrs. Alley is buying carpet for a rectangular room that measures 12 feet wide and 24 feet long. How many square feet of carpet will Mrs. Alley need?
Find mBAD help.................
Answer:
[tex] m\angle BAD = 55\degree [/tex]
Step-by-step explanation:
[tex] m\angle BAD = m\angle BAC + m\angle CAD[/tex]
[tex] m\angle BAD = 31\degree + 24\degree [/tex]
[tex] m\angle BAD = 55\degree [/tex]
a recipe calls for 2/3 cup of sugar for ever 2 teaspoons of vanilla. how much sugar should be used for beery 1 teaspoon of vanilla
2/3cups 2 teaspoons
(2/3)cups/2teaspoons=1/3cups per teaspoon
Answer=1/3 cups per teaspoon
Which expression is equivalent to 3(6+p) ?
Answer:
18 + 3p
Step-by-step explanation:
Using distributive property:
3(6+p)
18 + 3p
HELP ME. PLEASE !!! WILL MARK BRAINLIEST IF YOU HELP . and explain.
Select all that are equivalent to a^2/a^9
Assume a \= 0
1
1
DONE
One advantage to using gears is that gears allow you to change rotational direction of motion.
True
False
can u help me with this it's hard
Answer:
1. Adjacent 2. Vertical 3. Vertical 4. Neither 5. Adjacent
Step-by-step explanation:
1/3 (x-10) = -4 what is x
Step-by-step explanation:
1/3x-10/3=-4
1/3x=-4+10/3
1/3x=-2/3
x=-2
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = −2
Answers this question PLZ
Answer:
A. 4x/3
Step-by-step explanation:
Because it is the "Correct Answer"
Answer:
A. 4x/3
Step-by-step explanation:
Because it is the "Correct Answer"
Make a the subject of the formula v=u+at
Answer:
a=(v-u)/t
Step-by-step explanation:
v=u+at
subtract u on both sides
v-u=at
divide both sides by t
(v-u)/t=a
or
a=(v-u)/t
please help i’m struggling bad
Answer:
53
Step-by-step explanation:
86 = 2x - 20
+20 +20
106 = 2x
2 2
53 = x
Answer:
x = 53
Step-by-step explanation:
Those 2 are alternate interior angles. So that means they're the same
2x - 20 = 86 <-- Add 20 to the right side
2x = 106 <-- Divide by 2
x = 53
need help asap please!
Answer:
A
Step-by-step explanation:
The area of the large triangle is 36*24/2
minus the small triangle which is 21*14/2
so 432-147 = 285
Need help with this!
Answer:
1 = b
2 = a
Step-by-step explanation:
hope that helped
Can pls someone help me I need help
Answer:
180-degree angle
This is not a 90-degree angle because if it were to be, then it would be AB, which is not what we are going for, which leaves BC as 180 degrees (if you see it on a protractor)
whats 43.008625 as cent
Answer:
43 cents. us coinage doesn't have decimals
Step-by-step explanation:
Answer:
43 cents
Step-by-step explanation:
43.008625 is 43 cents.
If you are talking about percentage, it is 4300.8625 %
Shelly ran 20 minutes and burned 130 calories.
Which equations can be used to find the average number of calories, c, burned per minute?
Answer:
I think its A and E
Step-by-step explanation:
You would have to divide 130 by 20 which thats what both expressions are doing. SORRY IF IM WRONG LOL
What is the area?
(20 points)
Answer:
246 ft^2
Step-by-step explanation:
First, break it into smaller rectangles:
3*6=12
6*9=54
15*12=180
Add the areas together
12+54+180=246
The area of the figure is 246 ft^2