Answer:
y = 2x + 2
Step-by-step explanation:
given : line passes through the points (4,10) and (9,20)
Required : write a linear function in terms of x and y
solution :
substitute the coordinate points into the equation: y = mx + b
(x=9, y=20) _ 20 = 9m + b
(x=4, y=10) 10 = 4m + b
subtracting 10 = 5m
m = 10/5
m = 2
substitute x=2 back into eq.1 to solve for b
20 = 9m + b
20 = 9(2) + b
20 - 18 = b
b = 2
therefore the straight line equation is:
y = mx + b
y = 2x + 2
5th grade math. Correct answer will be marked brainliest.
Answer: 1,285, 1,282, 1,278
Step-by-step explanation:
Answer:
1,285, 1,282, 1,278
Step-by-step explanation:
A lacrosse player throws a ball upward from an initial height of 7 ft with an initial velocity of 70 feet per second. Write a function in the form h(t)=-16t^2+v0t+h0 to model this situation.
Answer:
Thats what i need help with plzzx help!!
Step-by-step explanation:
This table represents the number of ounces, u, a kitten grows after w, weeks.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=−23, y-intercept=−0.2
slope=23, y-intercept=−0.2
slope=−32, y-intercept = 3
slope=32, y-intercept = 3
Weeks, w Weight in ounces, u
0 3
3 7.5
6 12
9 16.5
Find the measure of each interior and exterior angle. The diagram is not to scale.
Answer/Step-by-step explanation:
✅m<1 = 90° (right angle)
✅m<2 = 90° (<1 and <2 are supplementary, and also linear pair)
✅m<3 = 90° (<1 and <3 are supplementary, and also linear pair)
✅m<4 = 115° (vertical angles theorem)
✅m<5 + m<4 = 180° (linear pair)
m<5 + 115° = 180° (substitution)
Subtract 115 from each side
m<5 = 180 - 115
m<5 = 65°
✅m<6 = m<5 (vertical angles are congruent)
m<6 = 65° (substitution)
✅m<7 = m<1 + m<6 (exterior angle theorem)
m<7 = 90° + 65° (substitution)
m<7 = 155°
✅m<8 = 180 - m<7 (linear pair theorem)
m<8 = 180 - 155 (substitution)
m<8 = 25°
✅m<9 = m<7 (vertical angles are congruent)
m<9 = 155° (substitution)
First to answer gets a brainliest! (everything is in the photo)
Answer:
It is ( D )
Step-by-step explanation:
Have a good day
factorise the following
x²-12x+32
Answer:
( x − 4 ) ( x − 8 ) is the factorised form of the expression.
Step-by-step explanation:
x
2
−
12
x
+
32
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
1
⋅
32
=
32
AND
N
1
+
N
2
=
b
=
−
12
After trying out a few numbers we get:
N
1
=
−
8
and
N
2
=
−
4
(
−
8
)
⋅
(
−
4
)
=
32
, and
(
−
8
)
+
(
−
4
)
=
−
12
x
2
−
12
x
+
32
=
x
2
−
8
x
−
4
x
+
32
=
x
(
x
−
8
)
−
4
(
x
−
8
)
(
x
−
8
)
is a common factor to each of the terms.
(
x
−
4
)
(
x
−
8
)
is the factorised form of the expression.
X + 8 =-12
ale
Soy unni
w
Answer:
x=-20
Step-by-step explanation:
x+8−8=−12−8
x=−20
Answer:
The answer is -20
Step-by-step explanation:
X+8=-12
You subtract 8 from the left the the right side of the equal sign.
This leaves: X=-20
The reason is, when you subtract a negitive from a negitive you add them together given that they have the same + or - sign. In this case, they are both negitive.
12+8 equals 20
But because it's negive you have to add them together.
Mohammed built a building that can carry up to 5 tons. If each person weighs about 150 pounds, how many people can fit onto the building that Mohammed built?
Answer:
Step-by-step explanation:
To start solving this problem, you need to figure out how many Pounds( I'll use lbs.) = 5 Tons( I'll use T).
2,000 lbs. = 1 T.
X 5 X 5
10,000 lbs. = 5 T.
Now we divide. That just means that if we know that 1 person( I'll use P) = 150, we just divide 5 T( 10,000 lbs.) by 150 lbs.
10,000/150=66.6666666667
hope this helps!!
Match the following reasons to the statements given. Given: A B E F is a parallelogram E B | | D C Prove: A C D F is a parallelogram. 1. A B E F is a parallelogram, E B||D C Definition of parallelogram 2. A F||B E, F E||A B Opposite sides of a parallelogram are || 3. A F||C D Transitive 4. F D||A C Given 5. A C D F is a parallelogram. Part of lines F E and A B
Answer:
See below
Step-by-step explanation:
Added as picture due some issue
ASAP!! please help :( 40 POINTS
Answer:
x ≥ 4
Step-by-step explanation:
-4(8 - 3x) ≥ 6x - 8
-32 + 12x ≥ 6x - 8
-32 + 8 ≥ 6x - 12x
-24 ≥ -6x
x ≥ 24 / 6
x ≥ 4
a designer is making a banner, as shown in the diagram, of width 3x and height 2x, where x is in feet. one foot of material on each side is gray, as shown below
Answer:
a) f(x) = 6x^2 - 4x
b) 80 ft²
Step-by-step explanation:
Refer to attached for full question
a.
Area formula for rectangle:
A = whWe see the width of the white part of the banner is 3x - 2 and height is 2x
Function to define the area
f(x) = (3x - 2)*2x = 6x^2 - 4xb.
If maximum width of white area is 10 ft, then the dimensions are:
3x - 2 = 10 ⇒ 3x = 12 ⇒ x = 4w = 10, h = 2*4 = 8A= 10*8 = 80 ft²hi again fjdkdngiskd
Answer:
x = -27
Step-by-step explanation:
What is 50% of 50? Use a diagram to show your work. Draw a diagram to help you.?
Answer:
25.
Step-by-step explanation:
50% = 1/2 and 1/2 of 50 is 25. so 50% is 25.
Answer:
The answer is 25.
Step-by-step explanation:
This is actually very simple but other percentages would be harder. 50% s the same as 1/2 or 0.5. all you have to do is divide 50/2 which is 25. 25 is 50% of 50.
If this helped I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
The length of a room is 2 1/2 feet more than its width. If the perimeter of the room is 80 feet, find its width and length?
Answer:
The width is 20.625 and the length is 19.375
Step-by-step explanation:
Let 2 1/2 + w = length
Let w = width
Equation:
2 1/2 + w + w = 80 Combine liked terms
2 1/2 + 2w = 80
-2 1/2 -2 1/2 Subtract 2 1/2 from both sides
2w = 77.5
÷ 2 ÷ 2 Divide 2 from both sides
w = 41.25
Length:
2 1/2 + 41.25 = 165/4 or 38.75
Width:
41.25
41.25/2 = 20.625
38.75/2 = 19.375
chile- please help
-a +8<-2 OR-3a>-9
Answer:
a < 3
Step-by-step explanation:
divide both sides by -3
so -3/-3 = a
-9/-3 = 3
Please help!!! Look at picture
Given: -3(2x + 7) = -29 - 4x; Prove: x = 4
1. -3(2x+7)=-29-4x
2. -6x-21=-29-4x
3. -2x-21=-29
2. 17
4.
-2x=-8
3. 18
4. 19
5. 20
5.
X=4
1
Answer: 1: Given
2: Distribution
3: Subtraction
4: subtraction
5:division
Step-by-step explanation:
8. A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup
was 140%. What is the markup?
A. $28
C. $2.80
B. $48
D. $2,800
Answer:
I think B ... not sure though
Step-by-step explanation:
tell me if I'm wrong.. TwT
how to divide 2432.5 by ten
Answer: 243.25.
Step-by-step explanation: To divide by ten is to move the decimal point one digit to the left. Thus, 2432.5/10 is 243.25.
Can anyone give me the answer?
Answer:
The 2nd one/Green
Step-by-step explanation:
A plane figure with five straight sides and five angles.
This is really head to so try yo best
???
soooo..........whats ur question
I NEED THIS ASAP PLEASE!!! SHOW WORK
The enrollment at both the University of Texas at El Paso (UTEP) and the University of New Hampshire at Durham (UNH) decreased for the 2010-2011 school year. The enrollment at UTEP is 1977 less than twice the enrollment at UNH. Together, these two schools enrolled 29,796 students. Find the number of students enrolled at each school.
Answer.:
Step-by-step explanation:
Write the equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 and graph
Answer:
The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is: y=-x+3
Step-by-step explanation:
Given equation of line is:
[tex]y = x+2[/tex]
Comparing it with the general form of equation of line in slope-intercept form
[tex]y = mx+b[/tex]
The slope of given line is 1 as the co-efficient of x in the equation is 1.
When two lines are perpendicular, the product of their slopes is -1
Let m1 be the slope of new line
Then
[tex]m.m_1 = -1\\1.m_1 = -1\\m_1 = -1[/tex]
The equation of new line perpendicular to given line will be:
[tex]y = m_1x+b[/tex]
Putting the value of m1
[tex]y = -x+b[/tex]
To find the value of b, the given point will be put into the equation
So,
[tex]-1 = -(4)+b\\-1 = -4+b\\-1+4 = b\\b = 3[/tex]
The final equation of line is: y = -x+3
Hence,
The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is:
[tex]y = -x+3[/tex]
Graph:(Attached)
The graph is made using the online graphing tool "Desmos". The red line in the graph represents the line y = x+2 and the blue line represents the line (y=-x+3) perpendicular to given line
The perimeter of a triangle is 60 feet. Of the two unknown sides, the length is twice as long as the other. Find the lengths of the two unknown sides.
Answer: The length is 30, the 2 sides are 15.
Step-by-step explanation:
192 miles per 6 gallons
A teacher wrote this expression on the board (-6)(2)+(-8+4)
Answer:
The answer is -16
Step-by-step explanation:
what is the vertex of y=x^2 +x-6?
y =(x+ 1/2 ²- 25/4 . explanation. y=x²+x=6 . complete the square.
y=x²+x+(1/2)² -6 - 1/4 . simplify
y=(x+1/2²)- 25/4 in the vertex form
hope this will help u
1. Solve the following equation.
-5x + 13 = 1 – 7x
-5x+13=1-7x
-5x+7x=1-13
2x=-12
2x\2=-12\2
x=-6
√−100 = ___ + ___ i
can anyone help? (✿◡‿◡)
Answer:
0+10
Step-by-step explanation:
yes
How are you feeling about your understanding of slope and the graph of a line?
A.
I've got this down!
B.
I get most of it, but I need some practice.
C.
I kind of get it, but I still have some questions.
D.
I'm totally lost and will need help moving forward with this.
This doesn't seem like a academic question. The teacher is simply asking you how if you understand slope and graph of a line. Answer this of your own.
Measuring the Wind Speed of a HurricaneWhen measuring the wind speed of a hurricane or similar storm, meteorologists don’t want to get hit by flying debris. They use a measure available to them in the comfort of their TV studio. Luckily for the meteorologists, the barometric pressure is linearly related to the wind speed.Suppose scientists compared the wind speeds and barometric pressure readings of two severe storms over the Atlantic Ocean. For one of the storms, the barometric pressure was 1,000 mb (millibars), and the maximum wind speed was 100 kmh (kilometers per hour). The second had a barometric pressure of 960 mb and maximum wind speeds of 180 kmh. (a)Develop a rule that you could use to predict the wind speed given any barometric pressure.(b)Use your rule to predict the wind speed of a hurricane with a barometric pressure of 980 mb. Using what you know about linearity, explain why your prediction is reasonable. (c)Interpret the intercept for wind speed in this context (i.e., as it pertains to the weather).(d)Explain the meaning of slope in this context.
Answer:
So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.
Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.
Slope= (180-100)
---------------- = -2
(960-1000)
Formula: y=-2(x-1000)+100
Part B: y=-2(980-1000)+100=140
140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.
Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.
Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.
hoped this helped :)
Does any one want to hear a joke?
Answer:
yes pls my life is boring
Step-by-step explanation: