Answer:
∠FGH = ∠HGI = 29°
∠FGI = 58°
Step-by-step explanation:
GH is marked as an angle bisector, so we have ...
∠FGH = ∠HGI
2x -9 = 3x -28
19 = x . . . . . . . . . . . . add 28-2x to both sides
Of course, the angle FGH is the sum of its parts. Then the angle measures are ...
(2x -9)° = (2·19 -9)° = 29°
∠FGH = ∠HGI = 29°
∠FGI = 58°
Can somebody help me with this question? (Calculus)
Answer:
y -5 = 4(x -2)
Step-by-step explanation:
The derivative of the function tells you the slope of the line at the point of tangency.
f'(x) = 2x
f'(2) = 4
Then the point-slope equation of the tangent is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -5 = 4(x -2) . . . . . tangent line with slope 4 through tangent point (2, 5)
Determine whether each equation represents a linear or nonlinear function.
Drag each equation into the appropriate box.
Linear Function Nonlinear Function
y = {x-6
y = (x - 5)2
y = 2* +8
y = 3(x + 7)
y = 4x3 - 1
Answer:
y=1/2x=6 - linear, written as y=mx+b.
y=(x-5)^2 - nonlinear, x has an exponent greater than 1
y=2^x+8 - nonlinear, x is an exponent
y=3(x+7) - linear, can be written as y=mx+b (y=3x+21)
y=4x^3-1 - nonlinear, x has an exponent greater than 1
Step-by-step explanation:
HELP PLZ You measured a floor tile as 12 inches by 10 inches. It is actually 10 inches by 10 inches. What is the percent error of the area?
Area of measured tile: 12 x 10 = 120 square inches
Area of actual tile = 10 x 10 = 100 square inches:
Percent error = 120-100 = 20/100 = 0.20 x 100 = 20%
Answer: 20%
1. You have two pieces of tape of 56 metres and 56 metres in length. If you connect both pieces together end-to-end, how long is your new piece of tape?
Answer:
Step-by-step explanation:
If the two pieces of tape are truly placed end-to-end, there will be no tape at the joint to connect the two pieces. In the real world, one of the 56 m pieces will have to overlap one end of the other piece to make up a single new piece of tape whose length must be a little less than 2(56 m), or a lilttle less than 112 m. There is no one specific correct answer because the experimenters vary in how much tape overlap to allow.
The new tape would measure 112m after the two fragments are joined.
What is addition?Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.
Given:
A piece of tape 56 m long and we are to add another 56 m
Thus the sum of these two tapes is equal to 56+56=112 m
Hence, the new tape is 112m long.
Learn more about addition here:
https://brainly.com/question/29560851
#SPJ2
Reed has 3 boards. Each board is 4 yards long. Reed needs to cut 2 -foot-long sections for his project. What is the maximum number of 2 -foot-long sections Reed can cut from the boards?
Answer:
19
Step-by-step explanation:
3 boards that are 12 feet long = 38÷2=19
what is the slope intercept equation for the linear function represented by the table?
Answer:
the answer is a
Step-by-step explanation:
x=0 the first equation gives -4
andx= 2 6/2 = 3-4= -1
−7a − 12q + 6a + 13q + 4a − 7a
Answer:
-4a + q
Step-by-step explanation:
Group the a-values together and the q-values together and simplify:
-7a + 6a + 4a - 7a - 12q + 13 q
= -4a + q
If Belinda wants to earn AT LEAST $400 profit (money earned after her expenses), how many pies does she need to sell?
Step-by-step explanation:
what is the scale factor?
Use this:
The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.
Answer:
1 2/3 is the scale factor
Step-by-step explanation:
So the scale factor either makes soemthing bigger or smaller
In this case it’s getting bigger
So we have one side already so we jsut find the value that was multiplied
so 9 * ? Is 15
You
d get 1 2/3
Find values of x and y
Answer:
x=15
y= 21
Step-by-step explanation:
6x-11+x+5+81=180
6x+x+86-11=180
7x+75=180
-75. -75
7x=105
--- ----
7. 7
x=15
substitute the x value we just got into the following equation to find y
4y-18+y+14+6x-11=180
4y-18+y+14+6(15)-11=180
4y+y+14+79-18=180
5y+75=180
-75 -75
5y=105
---- -----
5. 5
y=21
Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16 gallon full tank of gas? The trail length is 15 5/6
Answer:
10
Step-by-step explanation:
HELP ALSO CHECK OUT MY OTHER QUESTION THERE BOTH 20 POINTS!!!
jonathan needs 3 5/8 yards of blue material and 6 3/4 yards of red material. how many yard does he need in all.
A. 9 2/3
B. 9 3/8
C. 10 2/3
D. 10 3/8
Answer:
D. 10 3/8
Step-by-step explanation:
First make them into a improper fraction
[tex]\frac{29}{8} +\frac{27}{4}[/tex]
Find the lowest common denominator:
[tex]\frac{29}{8} +\frac{27*2}{4*2}[/tex]
Multiply the denominators:
[tex]\frac{29}{8} +\frac{27*2}{8}[/tex]
Multiply the numerators:
[tex]\frac{29}{8} +\frac{54}{8}[/tex]
Combine the fractions:
[tex]\frac{(29+54)}{8}[/tex]
Combine the numerators:
[tex]\frac{83}{8}[/tex]
=
[tex]10\frac{3}{8}[/tex]
Hence, D. 10 3/8 is the Correct answer.
15 POINTS, to lazy please help.
Answer:
(2, - 1 )
Step-by-step explanation:
The solution to the system is at the point of intersection of the 2 lines.
They intersect at (2, - 1 ) ← solution
Answer:
1427832.087y4441x6.7
valentina wants to grow out her hair. it grows 0.5 inches per month, and it is currently 9 inches long. write an equation that shows the relationship between that shows the relationship between the number of months that valentina grows out her hair, x, and the length of her hair in inches, y
Answer:
y=0.5x+9
Step-by-step explanation:
Find an equation of the line passing through the point (2, 7) with slope m= 6.
Answer:
y - 7 = 6(x - 2)
Step-by-step explanation:
1. Since we're given one point and the slope of a line, we can use the point slope form: [tex]y-y_1=m(x-x_1)[/tex]
m = slopey_1 = first y-coordinatex_1 = first x-coordinate2. (Plugging in values)
[tex]y-7=m(x-x_1)[/tex] [tex]y-7=6(x-x_1)[/tex] [tex]y-7=6(x-2)[/tex]Therefore, one equation of the line is y - 7 = 6(x - 2).
Which statement is an example of heat transfer by convection? Question 4 options: Jane's feet burned as she walked across the hot beach sand. Hot air from the sand rose and was replaced by cool air blowing in from the ocean as a sea breeze. The black asphalt of the parking lot was much warmer than the green grass surrounding the lot. People were scattered across the beach, sitting on chairs and towels, warming themselves in the bright sunshine.
Answer:
Step-by-step explanation
Hot air from the sand rose and was replaced by cool air blowing from the ocean as a sea breeze.
can anyone help. how to solve this plz. 58power4 -388
Answer:
The answer is 11,316,108
Step-by-step explanation:
[tex]58^{4} - 388[/tex]
(58)(58)(58)(58) - 388
11,316,496 - 388
= 11,316,108
Which equation can be used to determine the number of hourse, h hector works given the number of weeks w?
A. h = 20w
B. W=20h
C. H=2102
D.w=210h
help pleasee
[tex] \: \: \: \: \: [/tex]
A. h = 20wh=20win one week hector works 20 hoursin two hector works 40 etch = hours and w = weeks. the money is just extra information.h=20w works because if ithope it helps[tex] \: \: \: \: \: [/tex]
what is the value of x in the figure shown
Answer:
x = 66
Step-by-step explanation:
Have a nice day
I don't understand what I am supposed to do after I combine terms
I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...
Answer:
x = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]
Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions
4 - 24x + 21 = - 54x + 5 , that is
25 - 24x = - 54x + 5 ( add 54x to both sides )
25 + 30x = 5 ( subtract 25 from both sides )
30x = - 20 ( divide both sides by 30 )
x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]
Write the equation of the line passes through the point (10, 2) and is perpendicular to the line: y=-5x+7
Please show work
Answer:
Perpendicular line: y = ⅕x + 0 or y = ⅕x
Step-by-step explanation:
Given the point, (10, 2), and the linear equation, y = -5x + 7:
In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.
Definition:Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.
In other words, since the slope of the given line, y = -5x + 7 is m₁ = -5, then it means that the slope of the other line must be m₂ = ⅕ because:m₁ × m₂ = -1
-5 × ⅕ = -1
Solution:Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :
y = mx + b
2 = ⅕(10) + b
2 = 2 + b
Subtract 2 from both sides:
2 -2 = 2 -2 + b
0 = b
Hence, the y-intercept is b = 0.
Equation:The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or y = ⅕x
simpifly (4^7/5^2)^3
The points (7,5) and (-5, 8) fall on a particular line. What is its slope
Answer:
-3/12
Step-by-step explanation:
To figure out the answer, you have to use the formula: [tex]\frac{Y2-Y1}{X2-X1}[/tex] to find the slope.
plug in the coordinates: 7,5
-5,8
[tex]\frac{5-8}{7-(-5)}[/tex]= which will equal= [tex]\frac{-3}{12}[/tex]
Have a wonderful week!
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = −3x^2 − 29x + 30
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
B. linear function; linear term: −29x; constant term: 30
C. linear function; linear term: −26x; constant term: −24
D. quadratic function; quadratic term: 4x^2; linear term: −26x; constant term: −24
Answer:
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
Step-by-step explanation:
this is a quadratic function
quadratic term is -3x^2 , linear = -29x and constant = + 30.
Answer:
Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
Step-by-step explanation:
We have to classify the function as linear or quadratic.
Linear function ⇒ Is a function in which highest degree of variable is one.
Quadratic function ⇒ Is a function in which highest degree term or variable is 2.
Therefore, in the given function y = -3² - 29x + 30, (-3x²) is the highest degree term with the degreeof 2.
So the given function is quadratic.
In this function Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
Can u please help me with this. I’ll make brainliest
Answer:
number
Step-by-step explanation:
number than number lol sorry i dont know i wish i could help you
Identify the conclusion of the statement.
If AB is a segment, then it has two endpoints.
A. The segment has two endpoints.
B. If AB is a segment.
C. AB vis a segment.
D. Then, the segment has two endpoints.
Answer:
its b
Step-by-step explanation:
[tex]\left \{ {{y=2} \atop {x=2}} \right. x_{123}[/tex]
Answer:
if a joke i dont know
What is the range of f(x)?
Answer:
{ f(x)| -∞ < f(x) ≤ 4 }
Step-by-step explanation:
The range of a function is the interval of every y-value represented on the function. Since the highest this function goes on the y-axis is to y=4, we know that the upper limit of the range is 4, which is inclusive because the function actually reaches this value. The function also appears to go down indefinitely on the right side, so the lower limit is -∞, which is non-inclusive because we will never reach that value.
The range is -∞ < f(x) ≤ 4
help me please bjsowownxnwkwndndiwijsjs
Y=x+2 slope intercept form
Y+3=-1/4x
[tex] \: [/tex]
= m = 1 , b = 1step-by-step explanation
[tex]y = x +2[/tex]
the coefficient is 1[tex]y = 1x + 1[/tex]
identify the slope,since the equation is written in slope-intercept form y=mxb, identify the slope of the line as the coefficient next to the variable x
[tex]y = 1x + 1 \: ,m = 1[/tex]
identify the y-intercept[tex]y = 1x + 1 \: ,m = 1 \: ,b = 1[/tex]
the slope is m=1 and the y-intercept is b=1so the answer to the equation is
[tex] = m = 1,b = 1[/tex]
hope it helps[tex] \: [/tex]
#1
[tex]\\ \sf\longmapsto y=x+2[/tex]
Slope intercept form=y=mx+b
On comapring we get
m=1b=2#2
[tex]\\ \sf\longmapsto y+3=\dfrac{-1}{4}x[/tex]
[tex]\\ \sf\longmapsto y=-\dfrac{1}{4}x-3[/tex]
m=-1/4b=-3