Answer:
11.4 pounds
Step-by-step explanation:
What is the equation in point-slope form of the line that passes through the point (3, −2) and has a slope of 23?
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The linear equation in point-slope form of a line with a slope of 23 and point (3,-2) is y = 23x - 71.
How to determine the equation of a line from a point and slope?The slope intercept formula is expressed as;
y = mx + b
Where m is the slope and b is the y-intercept.
Given the data in the question;
Slope m = 23Point: (3,-2)
x = 3y = -2Equation of line = ?First, use the the formula for the equation of line to determine the y-intercept 'b'.
y = mx + b
Plug in slope m = 23 and point (3,-2)
-2 = (23)3 + b
-2 = 69 + b
b = -2 - 69
b = -71
Now that we have both the slope m ( 23 ) and y-intercept b ( -71 ), plug these values into y = mx + b to find the linear equation.
y = mx + b
y = 23x + (-71)
y = 23x - 71
Therefore, the equation of the line is y = 23x - 71.
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i need help with this Solve this equation.
13(y+7)=3(y−1)
Answer: y=-47/5
Step-by-step explanation:
Yw
Point G is on line segment \overline{FH}
FH
. Given FH=4x+8,FH=4x+8, FG=x,FG=x, and GH=5x,GH=5x, determine the numerical length of \overline{GH}.
GH
.
The numerical length of GH = 20 units
FH is a line segment.
G is a point on the line segment.
Then G divides the line segment FH into two line segments FG and GH.
We are given the lengths of FH, FG and GH in terms of x.
That is, FH=4x+8, FG=x and GH=5x
We need to find the numerical length of the line segment GH. We first need to find the x for this.
As G cuts the line segment FH into two parts, the length of the line segment FH is the sum of the lengths of the line segments FG and GH.
That is, FH = FG + GH
⇒ 4x+8 = x +5x
⇒ 4x+8 = 6x
⇒ 2x = 8
⇒ x = 4
So the numerical length of GH = 5x = 5 x 4 = 20 units
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s=1/2pl+b solve for l
8+ 3x =1 + 7.9x can someone help me out?
[tex]8 + 3x = 1 + 7.9x \\ \\ \implies 3x - 7.9x = 1 - 8 \\ \\ \implies - 4.9x = - 7 \\ \\ \implies \: x = \frac { \cancel{- 7}}{ \cancel{ - 4.9} } \\ \\ \implies \: x = 1.43[/tex]
hope this helpschoti bachi hô kya itne simp question ka answer kon puchta hai xD
Help math
How am i suppose to do this ?
Answer:
16/5
Step-by-step explanation:
The direct variation equation (where k is the constant variation):
z = kw
First, we must solve for k:
k = w/z
Plug in -5 and 2:
k = 2/-5 = -2/5
Now plug k into the formula with 8 to solve for z:
z = -2/5 x 8 = 16/5
Which expression has a value of 24?
PLS HELP ASAP
A –6 • 2 – (–7)–6 • 2 – (–7)
B 9 • 4 ÷ 2 + (–3)9 • 4 ÷ 2 + (–3)
C –9 + 3 – 6 • (–5)–9 + 3 – 6 • (–5)
D 9 ÷ 3 • 10 – (–1) + 3
Answer:
a) the answer it 10 so no
b) the answer is −39 so nah
c) the answer is 48, nope
d) the answer is 34, did you mean to write 34 instead of 24?
Step-by-step explanation:
Africa is 8.2 times 10 to the 3rd power Brazil is 4.4x10 to the third power , what’s the difference
is x+y^2 linear?
sos this math hw is killing me rn
Answer:
Not linear
Step-by-step explanation:
Can be written into the form of [tex]y=mx+b\\[/tex].
write an equation of a parabola in the vertex form if a = -3 and the vertex is (-3,5)
If the lower legs of the ironing board are equal in length, what is the measure of n?
geometry, is this answer correct?
Answer: yes, the value of x is 4 and angle HEB is 36 degrees
Step-by-step explanation:
1a. Find the value of angle CEB
Given that line segment AB and line segment EC are perpendicular you know they are right angles and therefore are equal to 90 degrees
2a.set up an equation
After noticing that angle CEB is 90 degrees you know that angle HEB+CEH=90 degrees: 13x+9x+2
3a. Solve the equation
13x+9x+2=90
22x+2=90 | combine like terms
22x=88 | subtract 2 from both sides
x=4 | divide by 22 on both sides
1b. Set up equation
Knowing x=4 and that angle HEB is 9x the equation is 9(4)
2b. Solve the equation
9(4)
36
Sonya wants to sew ribbon along each side of a square pillow. The expression 4 ⋅ 144−−−√ gives the exact amount of ribbon she will need for a pillow with an area of 144 square inches. How much ribbon, in inches, must Sonya buy to have the exact amount?
She buy 48 inches of ribbon to have the exact amount that she needs.
Given,
Area of the ribbon = 144 sq. inches
and, We know the formula for side of square is =[tex]\sqrt{Area of a square }[/tex]
Plug the value of area of square in above formula
Side of a Square = [tex]\sqrt{144}[/tex] = 12 inches
Now, we get the side of a square i.e., 12 inches
According to the question:
Sonya wants to sew ribbon along each side of a square pillow.
So, we need to find the perimeter of the square pillow.
and, Perimeter of a square is = 4 x side
=> Perimeter = 4 x 12 = 48 inches.
Therefore, She buy 48 inches of ribbon to have the exact amount that she needs.
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Please answer the two questions in the photo ( will mark brainliest if correct )
Answer:
2; 6
Step-by-step explanation:
for the first shape there are 2 lines of symmetry
TWO
for the hexagon or the regular polygon there are 6 lines of symmetry
SIX
you can find lines of symmetry by drying a line down and seeing if when you fold them they will be exactly the same
Simplify the following 4 + (-125)
Answer:
4 + (-125)
= 4 - 125
= -121
There are 24 total customers seated at 4 tables in a restaurant Each table has the same number of customers. At that rate, what is the maximum number of costumers who could sit at 6 tables
Answer:
36
Step-by-step explanation:
24 customers dividend into 4 tables
so 24/4 = 6
then 6 customers can sit in 1 table
in case of 6 tables 6×6 =36
36 customers would sit in 6 tables
Approximately 3 out of every 25 Amerloans live in California. About 3 out of every 50
Americane live in New York and about 2 out of every 25 Americans live in Texas.
Which state has the largest population?
10. Which state hos the smallest population?
11. About what percentage of Americans do nar live in Colifornia, New York, or Texas?
California is the most populated state, New York is the least populated, and 26% of Americans live in California, New York, and Texas.
Convert all statistics to percentages:
CA: 3 25 = 0.12 or 12%, 0.12 100 to calculate percentages.
NY: 3 50 = 0.06, or 6%, and 0.06 100 to get the percentage.
TX: 2 25 = 0.08 = 8%, 0.08 100 = percent
(A) California has the largest population of the three states.
(B) New York has the smallest population of the three states.
(C) USA = 100%, CA + NY + TX = 26%, so 74% of Americans do not live in these three states.
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Find the slope of the line that passes through the following points: (4,-2) and (-4,-4)
The value of of slope of is 1/4.
How to calculate the value of the slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope of lines in a coordinate plane can aid in anticipating whether the lines are parallel, perpendicular, or none at all without actually using a compass.
Any two distinct places along the line can be used to determine the slope of any line. When two different places on a line are considered, the slope of a line formula compares the "vertical change" to the "horizontal change" in each case. The difference between the line's y and x coordinate changes is known as the slope of the line. Net changes in the y and x coordinates are as follows: y = y and x = x.
m = [tex]y_{2} - y_{1} /x_{2} x_{1}[/tex]
m = 1/4
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Please help me with this maths question thanks!
Answer:
x = 2
Step-by-step explanation:
x + 3 + 1/2 x + 3 +x + 1 = 12 Combine like terms
21/2 x + 7 = 12 Subtract 7 from both sides of the equation
2 1/2 x = 5
Another name for 2 1/2 is [tex]\frac{5}{2}[/tex] ([tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{1}{2}[/tex])
[tex]\frac{5}{2}[/tex] x = 5 Multiply both sides of the equation by [tex]\frac{2}{5}[/tex]
[tex](\frac{2}{5})[/tex][tex](\frac{5}{2})[/tex]x = [tex]\frac{2}{5}[/tex][tex](\frac{5}{1})[/tex]
x = 2
9 Evaluate the expression 3[a(4bc)] for a = 2, b = 3, and c = 2.8.
8
7
୨)|୨)
Answer:
3(2(4)(3)(2.8))
3(24(2.8))
3(67.2)
2016
if 2x+y=7 and y=2x-5 what is the value of x. solve using substitution or elimination
The value of x is found as 3 using the method of substitution.
What is the method of substitution?The substitution method is a straightforward method for algebraically solving a system of linear equations and determining variable solutions. It entails determining the value of x-variable in aspects of y-variable using the first equation and afterwards substituting or fixing the value of x-variable with in second equation, as the name implies.For the given expression, use substitution method to solve.
2x + y = 7 ........eq 1
y = 2x - 5 ........eq 2
Substitute the value of y from eq 2 in eq 1.
2x + 2x - 5 = 7
Solving;
4x = 7 + 5
4x = 12
x = 3
Thus, the value of x is found as 3.
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Write an Algebraic proof for the following
To prove this, we need to show that 2 is equal to x.
Given:
2(x + 5) - 3x = 7x - 6
Distribute:
2x + 10 - 3x = 7x - 6
Combine like terms:
-1x + 10 = 7x - 6
Add 1x to both sides of the equation:
10 = 8x - 6
Add 6 to both sides of the equation:
16 = 8x
Divide both sides of the equation by 8:
2 = x
Reflexive property:
x = 2
✓
2(x + 5) - 3x = 7x - 6
x = 2
Find the equation of the line shown.
Answer:
y = mx + b
y = 1/4x + 2
Step-by-step explanation:
m(slope) = rise/run = 1/4
b(y intercept) = 2
HELP PLEASE!!!
Which equation matches the graph of the greatest integer function given below?
Answer:
the answer you are looking for is D
f(x) = 2x + 10
Find f(20)
The function F(20) is 50
What is function ?The most common symbols for a function are the letters f, g, and h. A function's value at an element of its domain x is denoted by the notation f(x), and the numerical value obtained from the function evaluation at a specific input value is denoted by substituting that value for x. For instance, the value of f at x = 4 is denoted by the notation f(x) (4). When a function isn't given a name and is instead represented by the expression E, the value of the function at, say, x = 4 may be shown by the notation E|x=4.
Given that :f(x) = 2x + 10
f(x) = 2x + 10
F(20)= 2(20) + 10
F(20)= 40 + 10
F(20)= 50
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x+4y+32
Terms:
Variable:
Constant:
Coefficients:
Answer:
Terms: x, 4y, 32
variables: x, y
constant: 32
coefficients: 4, 1
Step-by-step explanation:
Hope this helps!
Find a point-slope form for the line that satisfies the stated conditions
Slope 4, passing through (- 2,1)
The equation of the line in point-slope form is ……
Answer:
y=4x+9
Step-by-step explanation:
y-Y1= m× x-X1
Y-1 = 4×X+2
y-1 = 4x+8
y=4x+9
Given f ( x ) = 1 x + 12 , find the average rate of change of f ( x ) on the interval [ 9 , 9 + h ] . your answer will be an expression involving h
Given,
f(x) = 1x + 12
expression to be in form of h
To find on the interval: [9, 9 + h]
∵ Average rate of change of f(x) on interval (a,b) is
A = f(b) - f(a) / b - a
⇒ f(9) = 1 x 9 + 12 = 21
⇒ f(9 + h) = 9 +h + 12 = 21 + h
⇒ f(b) - f(a) = 21 + h - 21 = h
⇒ (b-a) = 9 + h - 9 = h
∴ Average rate of change = h / h
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Please hep me solve picture below thank uou
Answer:
x= -1, -13
Step-by-step explanation:
Answer: x=-13 x=-1
Step-by-step explanation:
[tex]x^2+14x=-13\\x^2+2(x)(7)+7^2-7^2=-13\\(x^2+2(x)(7)+7^2)-49=-13\\(x+7)^2-49=-13\\(x+7)^2-49+49=-13+49\\(x+7)^2=36[/tex]
[tex](x+7)^2-36=36-36\\(x+7)^2-36=0\\(x+7)^2-6^2=0\\(x+7+6)(x+7-6)=0\\(x+13)(x+1)=0\\x+13=0\\x+13-13=0-13\\x=-13\\x+1=0\\x+1-1=0+(-1)\\x=-1[/tex]
Kristen goes on a cave tour with her family. They climb down to 8 meters below ground level.
Then they climb the opposite of –8 meters to return to ground level.
How many meters did they climb in all? Enter your answer in the box.
meters
The total distance climbed by Kristen and her family is 16 meters.
It is given in the question that Kirsten and family climb down to 8 meters below ground level. Then they climb the opposite of 8 meters to return to ground level.
We have to find the total distance climbed by Kristen and her family.
We know that,
Total distance climbed by Kristen and her family = Distance climbed down the cave + distance climbed up the cave to reach ground level
Hence, we can write that,
Total distance climbed by Kristen and her family = 8+8 = 16 meters.
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