Write the equation of the line in fully simplified slope-intercept form.
Answer:
[tex]y=-6x+2[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)
1) Determine the slope (m)
[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Given the graph, we determine which points we could use. For example, we could use the two points [tex](0,2)[/tex] and [tex](1,-4)[/tex]:
[tex]m=\displaystyle \frac{-4-2}{1-0}\\\\m=\displaystyle \frac{-6}{1}\\\\m=-6[/tex]
Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-6x+b[/tex]
2) Determine the y-intercept (b)
Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into [tex]y=-6x+b[/tex]:
[tex]y=-6x+2[/tex]
I hope this helps!
7| x+ 3| = 42 solving absolute values
Answer:
x + 3 = -6 or x + 3 = 6
Step-by-step explanation:
A car uses 8 litres of gasoline to travel 160 km. How much gasoline will the car use to travel 400 km?
Answer:
20 liters of gasoline
Step-by-step explanation:
Create a proportion where x is the amount of gasoline needed to travel 400 km:
[tex]\frac{8}{160}[/tex] = [tex]\frac{x}{400}[/tex]
Cross multiply and solve for x:
160x = 3200
x = 20
So, the car will use 20 liters of gasoline to travel 400 km.
Answer:
The car will use 20 liters of gas
Step-by-step explanation:
160KM/8L = 20KM per liter
400/20 = 20
hey please help i’ll give brain
Answer:
7
Step-by-step explanation:
Using the commutative property of addition
a+b = b+a
6+7=7+6
Help me outtttttttttt
Answer:
∠1 = 5 degrees
∠2 = 85 degrees
Step-by-step explanation:
if we add ∠1 and ∠2 that will be 90 degrees (as it is straight angle and its already given in the picture)
( x - 12) + 5x = 90
6x -12 = 90
6x = 90 + 12
6x = 102
x = 102/6
x = 17
Put 17 in both the angles instead of x
∠1 = ( x-12)
= ( 17 - 12)
= 5
∠2 = 5x
= 5 (17)
= 85
now you can even Cross-check
5 + 85
= 90 degrees
Cross-checked
x−8<−1 whats x
(this is for so it goes through: oogogogogogo boboboboboboboogoogbobgob)
Sonia finished the 200-meter dash in 26.12 seconds. Gladys finished the 200-meter dash 1.08 seconds
faster than Sonia. How long did it take Gladys to run the 200-meter dash?
O 25.04 seconds
O 26.20 seconds
O 27.04 seconds
O 27.20 seconds
Answer:
25.04
Step-by-step explanation:
26.12-1.08
=25.04
Answer:
25.04
Step-by-step explanation:
For this problem we have to use subtraction
If Sonya finished the dash is 26.12 seconds and Gladys finished it 1.08 seconds faster, we have so subtract 26.12 by 1.08 to get her time
So we get 25.04
Hope this helps! :D
Determine what fraction of the square is shaded
Explain your reason
Answer:
is the picture moving or am I tripping
Step-by-step explanation:
I think 1/4
pls answer my question
Answer:
have a great day
god is great
Help!!!!
B=
P=
H=
LA=
SA=
V=
Answer:
Given a cube with the side of 7 in
Base area:
B = a² = 7² = 49 in²Perimeter:
P = 4a = 4*7 = 28 inHeight:
H = a = 7 inLateral area:
LA = 4a² = 4*49 = 196 in²Surface area:
SA = 6a² = 6*49 = 294 in²Volume:
V = a³ = 7³ = 343 in³[tex]\\ \sf\longmapsto a^2=7^2=49in^2[/tex]
Perimeter :-[tex]\\ \sf\longmapsto 4a=4(7)=28in[/tex]
Height:-As its a cube height=side=7in
Lateral surface area :-[tex]\\ \sf\longmapsto 4a^2=4(7^2)=4(49)=196in^2[/tex]
Total Surface Area:-[tex]\\ \sf\longmapsto 6a^2=6(7^2)=6(49)=294in^2[/tex]
Volume:-[tex]\\ \sf\longmapsto a^3=7^3=343in^3[/tex]
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Answer:
wow
Step-by-step explanation:
very interesting
I need help with this one
plzz solve the question
Answer:
a.8x^2+18x+9
8x^2+(9+2)x+9
8x^2+2x+9x+9
2x(4x+1)+9(x+1)
(2X+9)+(4x+1)+(x+1)
In triangle ABC, m ZA = 47°, m ZB = 62°. m ZC =
a. 81°
b. 61°
C. 71
d. 51°
Answer:
m ZC = 71 degrees. Option C.
Step-by-step explanation:
Triangles always measure a total of 180 degrees.
47 + 62 + c = 180
109 + c = 180
c = 71
Answer:
71°
Step-by-step explanation:
The total angles in a triangle should equal 180°
a + b + c = 180
47 + 62 + c = 180
109 + c = 180
180 - 109 = 71
c = 71°
Hope this helped!
17. Negative numbers are closed under addition.
True or false
===========================================================
Explanation:
Picking any two negative numbers, then adding them, will result in some other negative number. This is why the set of negative numbers is closed under addition.
Examples:
-2 + (-3) = -5
-10 + (-14) = -24
-7 + (-9) = -16
This is because when you add two negatives, you're adding their positive counterparts. Going to the first example above, we would say 2+3 = 5 and then just make everything negative. There's no way to add two negative numbers, and get a positive result (and we can't get 0 either).
You can think of it in terms of money and debt. The -2 represents being 2 dollars in debt. Then adding on 3 more dollars of debt leads ultimately to 5 dollars overall in debt.
24)
12
21
X
84
91
28
Answer:
13
Step-by-step explanation:
12×7 = 84,
so the scale ratio is 1/7
now 91×1/7
= 91/7
= 13
I need help! Please explain if you can!
I need to find the csc A, sec A, and cot A.
Step-by-step explanation:
the length of AB = √10²+7²=√149
so,
csc A = AB/BC = √149/ 7
sec A = AB/AC = √149/ 10
cot A = AC/BC = 10/7
Use function notation to write y=-.2x-1 and build a table to find f(-1), f(0), f(10)
if tanA=1/3, tanB=-1/2, find the value of A+B
hope it helps you.........
1. What is the length of AD?
(1 point)
D
А A
B
+
++
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
.
6 7
8 9 10
017
015
07
01
Answer:
15
Step-by-step explanation:
you can add the absolute value of -7 with 8 so it's 15
The length of AD on the number line is,
⇒ AD = 15
What is mean by Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
We have to given that;
Number line is shown in figure.
And, The point A is at - 7 on number line.
The point D is at 8 on number line.
Hence, We get;
The length of AD on the number line is,
⇒ AD = | - 7 - 8 |
⇒ AD = | - 15 |
⇒ AD = 15
Therefore, The length of AD on the number line is,
⇒ AD = 15 units
Learn more about the number line visit:
brainly.com/question/28223520
#SPJ7
Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is one half the price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket.
one halfx + 8 = 15
one halfx − 8 = 15
one halfx + 15 = 8
one halfx − 15 = 8
Answer:
Option 1 is the correct equation.
Step-by-step explanation:
x = price of the student ticket.
One half price of x + $8 = adult ticket price ($15)
Answer:
The correct answer is A
Because taking the student ticket to be x
one half of x + 8 =15
there are 3 types of fruits in the basket.mango,banana and guava. 15 children likes mango,20 children likes banana,20 likes guava 3 children like mango and banana,5 children like mango and guava,10 children like banana and guava and 2 likes all the three fruits. How many children likes one fruit only?write your answer in the diagram below
Step-by-step explanation:
25 students like mango
35 students like Banana
37 students like Guava
An airplane is coming in for a landing and the pilot knows she is 5473 m above the ground and she also knows that Angle of depression from the plane to the landing strip is 58º. How far is the plane from the landing strip?
Answer:
3420 m
Step-by-step explanation:
when we say distance, we mean ground distance, right ? not air distance.
so, essentially, the angle from the straight line the plane could be going at that moment down to the touch down point on the landing strip is 58 degrees.
that means the angle of elevation (between the line to the touch down point and the height "line" of the airplane) is 90-58 = 32 degrees
the height of the airplane (= distance from ground) is 5473 m.
now, we also know that the angle between height and the ground connection to the touch down point is 90 degrees (as height is always meshed straight up/down).
so, we know even the third angle (at the touch down point between ground and the line to the airplane)
= 180 - 90 - 32 = 58 degrees.
if we imagine now a circle being drawn with the touch down point being center and going through the right- angle corner point on the ground right under the airplane, we see that the ground distance from that corner to the landing strip is the radius of that circle.
therefore, the height is tan() × r of the angle at the touch down point.
5473 = tan(58) × r
r = 5473 / tan(58) = 3420 m
Two balls are drawn in turn without replacement from a box containing three green and two white balls.Find the probability of drawing
a)two green balls
b)two white balls
c)two balls of the same colour
d)two balls of different colours
Answer:
A. 2/5
B.2/5
C. 3/5
D. 5/5=1
the horizontal position of a point
Ansienidq
scsunacu
Step-by-step explanation:
colo
Irrational Numbers
Place each number in the correct location on the Venn diagram.
11. -
Real Numbers
Rational Numbers
12. - 100
Integers
13.
Whole Numbers
14. 125
G
-5/9 is rational, and its none of the other choices (integer, whole, irrational). So this value goes in the "rational" rectangle, and outside any other region.
The number [tex]-\sqrt{100}[/tex] turns into -10 after simplification. We see that this number is both rational and an integer. The best place for it is inside the "integer" circle. Note how this circle is entirely in the "rational" rectangle. We do not place it in the "whole number" circle because whole numbers are not negative.
The number [tex]\pi[/tex] is irrational since its decimal expansion goes on forever without any known pattern.
The number [tex]\sqrt{25}[/tex] simplifies to 5. This goes in the "whole number" circle.
Check out the diagram below.
Need help with this math question. Will give brainliest
Answer:
I think it should be 360 (C)
Answer:
c)360
Step-by-step explanation:
x−0.8x=72
0.2x=72
x= 72/0.2
answer=360
If Greg can do a job in 6 hours, and pepper can do that same job in 5 hours, how long will it take to complete the job if they work together
5 hours and 30 minutes ya que ambos trabajaran la mitad del trabajo
Please help basic Geomerty question!
Answer:
Point B :(6, 7)
Step-by-step explanation:
Point B:(x, y)
1= - 4+x/2
2= - 4+x
x=6
7.5= 8+y/2
15= 8+y
y=7
-2/3 + 5/6 = __________
Answer:
0.16 recurring
hope this helps!
Answer:
1\6
Step-by-step explanation:
[tex]\frac{-2}{3}+\frac{5}{6}=\frac{-4+5}{6}=\frac{1}{6}[/tex]