Given:
The objective is to find f(-4).
Explanation:
The general equation of a straight line is,
\(y=mx+b\text{ . . . . .(1)}\)Here, m represents the slope of the straight line, b represents the y-intercept.
To find m:
The value of slope can be calculated by considering two coordinates from the graph,
\(\begin{gathered} (x_1,y_1)=(4,0) \\ (x_2,y_2)=(0,2) \end{gathered}\)On plugging the values in the formula of the slope,
\(\begin{gathered} m=\frac{2-0}{0-4} \\ =\frac{2}{-4} \\ =-\frac{1}{2} \end{gathered}\)Thus, the slope of the graph is -1/2.
From the graph, the y-intercept of the graph is 2.
On plugging the obtained values in equation (1),
\(y=-\frac{1}{2}x+2\text{ . . . . (2)}\)At x = -4 in equation (2),
\(\begin{gathered} f(-2)=-\frac{1}{2}(-2)+2 \\ =1+2 \\ =3 \end{gathered}\)Hence, the value of f(-4) is 3.
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answer all 3!!!!
easy brainliest!!
Answer:
Step-by-step explanation:
1) DE = 6/sin63 = 6.7
DF = 6/tan63 = 3.1
m∠E = 180 - 90 - 63 = 27°
2) tan30 = 1/√3 = UV / (27√10)
UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30
3) cosV = 3/8
cos⁻¹(3/8) = 68
m∠V = 68°
9x - 3y = 3
3x + y = 1
Answer:
hi there
1. 9x - 3y = 3
6xy = 3
xy = 3/6
xy = 2
Step-by-step explanation:
hope u understand
HIIIIIIIIIIIIIIIIII
ADDDDDDDDD MEEEEEEEHHHHHHHHHHHH!!!!!!!!!!!!!!!!!
PLLLLLLLLLSSSSSSSSSSSSSSSS
Answer:
40, because 40 is 2/5ths of 100.
Mark brainlyest pls
Step-by-step explanation:
Answer:
hi
the answer is 60
Step-by-step explanation:
hope it helps and have a nice day!!! :)
Brainiest is appreciated it would really help
What is the solution to the set of linear functions y=-x^2+x+2 and y=-x+3
Answer: x = 1
Step-by-step explanation: mark equations equal:
-x² +x+2= -x+3
-x² +2x -1 = 0
Solving equation you get x= 1
absolute value evaluate problem
|-4| =?
SHOW WORK:
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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I dont understand these can someone help?
The corresponding sides and angles of the similar and congruent triangles indicates that we get the following approximate and exact values;
Page 1;
5. \(\overleftrightarrow{AC}\) = 4.3. 6. \(\overline{BP}\) ≈ 7.5 7. \(\overline{YV}\) ≈ 8
Page 2
5. \(\overline{DF}\) = \(11\frac{1}{4}\), 6. \(\overline{ED}\) = 5, 7. \(\overline{BC}\) = 22, 8. \(\overline{EF}\) = 8
Page 3;
8. m∠ABC = 30°, 9. m∠XYP = 44°, 10. \(\overline{AC}\) = 14
What are congruent triangles?Congruent triangles are triangles that have all three corresponding sides of the same length and all three angles of the same measure.
First Page
5. The distance from the vertex B to the line segment \(\overleftrightarrow{AC}\) in the triangle ΔABC is the altitude of the triangle, which is 4.3
6. The distance from the vertex B to \(\overleftrightarrow{AC}\) = \(\overline{BP}\)
Pythagorean theorem indicates that the length of the segment \(\overline{BP}\) can be found as follows;
\(\overline{BP}\) = √(13.5² - 11.2²) ≈ 7.5
7. The distance from Y to \(\overleftrightarrow{XZ}\) is the altitude of the triangle ΔXYZ, which indicates;
The distance from Y to \(\overleftrightarrow{XZ}\) = \(\overline{YV}\)
The Pythagorean theorem indicates that we get;
\(\overline{YV}\) = √(13.34² - 10.67²) ≈ 8
Second page;
5. The scale factor from ΔABC to ΔDEF = 3/4
Therefore, the length of \(\overline{DF}\) = (3/4) × 15 = 45/4 = \(11\frac{1}{4}\)
6. The scale factor of (1/3) indicates that we get;
\(\overline{ED}\) = (1/2) × 10 = 5
7. The ratio of the corresponding sides by length which is the scale factor is; S.F. = 18/9 = 10/5 = 2
The corresponding side to \(\overline{BC}\) is \(\overline{EF}\)
\(\overline{EF}\) = 11, therefore, the length of \(\overline{BC}\) = 2 × 11 = 22
8. The ratio of the corresponding sides by length which is the scale factor is; S.F. = 4/6 = 10/15 = 2/3
The corresponding side to \(\overline{EF}\) is \(\overline{BC}\)
\(\overline{BC}\) = 12, therefore \(\overline{EF}\) = (2/3) × 12 = 8
Third page;
8. The triangles ΔABV and ΔCVB are congruent triangles by the Leg Hypotenuse congruence theorem.
The angles ∠ABV and ∠CBV are corresponding triangles, therefore;
∠ABV ≅ ∠CBV
m∠CVB = m∠ABV = 15° (Definition of congruent triangles and symmetric and substitution property)
∠ABC = ∠ABV + ∠CBV
Therefore; m∠ABC = 15° + 15° = 30°
9. The angles ∠YXP and ∠YZP are right triangles, therefore;
m∠YXP = m∠YZP = 90°
The right triangles ΔYXP and ΔYZP are congruent by the LH congruence theorem
∠XYP ≅ ∠ZYP (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)
m∠XYP = m∠ZYP (Definition of congruent triangles)
m∠XYZ = m∠XYP + m∠ZYP (Angle addition property)
m∠XYZ = 2 × m∠XYP
2 × m∠XYP = m∠XYZ = 88°
m∠XYP = 88°/2 = 44°
10. The angles ∠ACP and ∠ABP are right angles, according to the indicated markings, therefore;
∠ACP ≅ ∠ABP (All right angles are congruent)
ΔACP ≅ ΔABP by SAA congruence theorem
\(\overline{AC}\) ≅ \(\overline{AB}\) (CPCTC)
\(\overline{AC}\) = \(\overline{AB}\) (Definition of congruent segments)
\(\overline{AC}\) = \(\overline{AB}\) = 14
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-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
How many inches apart will four bolts be along the circumference of the metal plate shown in the figure to the right
The number of inches apart that the four bolts will be along the circumference of the metal plate shown in the figure is 9.425 inches.
What is the circumference?The circumference refers to the total distance around a circle.
The circumference can determined using the following formula.
Circumference = 2πr
Diameter of the circle = 12 inches
Radius = 12/2 inches = 6 inches
Circumference = 2 x 22/7 x 6
= 37.7 inches
The number of bolts along the circumference = 4
Distance between the four bolts = 9.425 inches (37.8 ÷ 4)
Thus, using division operation, the distance apart of the four bolts is 9.425 inches.
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I have tried it for multiple times but it still doesn’t work TvT! Please help me eight this question
Answer:
a) x = -2
b) 8 integer values
Step-by-step explanation:
Matthew's solution is correct as far as it goes. However, he failed to take into account the possibility of negative square roots.
His solution might rightly look like ...
3 < 3x² ≤ 75
1 < x² ≤ 25 . . . . . divide by 3
1 < ±x ≤ 5 . . . . . . take the square root
Separating the results:
1 < x ≤ 5
-1 > x ≥ -5 . . . . . . multiply by -1
a)The value x=-2 shows Matthew's solution is incorrect:
3 < 3(-2)² ≤ 25 ⇒ 3 < 12 ≤ 25 . . . true
__
b)x can have the integer values {-5, -4, -3, -2, 2, 3, 4, 5}, a total of 8 values.
__
In the attached, the white space (and dashed line) are the solution set. The shaded areas (and solid line) are excluded from the solution set.
_____
Additional comment
It can be helpful to remember that ...
\(\sqrt{x^2}=|\,x|\ne x\)
That is, values of x may be negative, but the positive square root will only show you a positive value.
2/5 + r = 1 and 4/5
What is r?
1. Find the scale factor from the large figure to the small figure.
2. Find the scale factor from the small figure to the large figure.
Answer:
sorry I can see the whole answer on the image
Prince humperdinck has 17 henchmen. Unfortunately all but six die. How many henchmen does he have left?
Answer: he has 6 left.
Step-by-step explanation:
if all but 6 of them die, then he only has 6 left.
Answer:
he has only six left.
Step-by-step explanation:
17-11=6
17 henchmen
11 dead.
6 alive.
Are the events independent or dependent. From a bag containing 10 marbles, 5 red, 3 black, 1 blue, and 1 white we pick two marbles:
Event A: Selecting a red marble first pick, and then without replacement
Event B: Selecting a white marble on the second pick
Answer:
Dependent
Step-by-step explanation:
The first draw has 10 marbles, the second draw has 9 marbles and the color of those 9 marbles depends on the marble picked in the first draw so the events are dependent.
Answer:
Dependant
Step-by-step explanation:
It would be independent if you put the marble BACK, because at first it was 1/10 to get the white marble and then it became 1/9.
Need help on this question pls help!!!!!!!
Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
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Câu 1. Cho ánh xạ f : R
3 → R
3
, xác định bởi
f(x, y, z) = (4x − 5y + 5z, −5x − 6y, 3x + 5y − 2z).
a) Chứng minh rằng f là ánh xạ tuyến tính.
b) Tìm ma trận A của f đối với cơ sở
B = {e1 = (1, 0, 0); e2 = (2, 2, 0); e3 = (3, 3, 3)} trong R
3
what is your clear question? it lacks some details
Help Danny and Sara Bell interpret this insurance quote for their 2015 sports car and 2018 minivan.
What is the maximum coverage in any one accident for bodily injury?
A.
$50,000
B.
$75,000
C.
$100,000
D.
$150,000
Answer:
C: $100,000
I hope this helps :)
Answer: The answer is C: $100,000
Sylvia and Darlene collect seashells.
NEED HELP ASAP The number of seashells in Sylvia's collection can be represented by s.
The number of seashells in Darlene's collection is 4 times the number in Sylvia's collection.
The total number of seashells in both collections is 240.
Which value represents s, the number of seashells in Sylvia’s collection?
Answer:
=48
Step-by-step explanation:
i took the test trust me
Answer:
48
Step-by-step explanation:
The histogram below shows information about the daily energy output of a
solar panel for a number of days.
Calculate an estimate for the mean daily energy output.
If your answer is a decimal, give it to 1 d.p.
Frequency density
Energy output (kWh)
Answer>
Answer:
4.5 kWh
Step-by-step explanation:
You want an estimate of the mean of the solar panel output represented by the given histogram.
MeanThe mean of the output values can be estimated as the weighted average of the middle of each interval, weighted by the area of the histogram in that interval.
The computation looks like ...
\(\dfrac{.5\times1+1.5\times1+2.5\times1+3.5\times4+4.5\times4+5.5\times3+6.5\times 2+7.5\times2}{1+1+1+4+4+3+2+2}\\\\\\=\dfrac{81}{18}=4.5\)
The mean daily energy output of the solar panel is about 4.5 kWh.
<95141404393>
Find the missing length indicated
Step-by-step explanation:
there is a nice formula for the height in a right-angled triangle :
h = sqrt(p×q)
h being the height to the 90° angle, p and q being the segments (left and right of the height) of the Hypotenuse.
so, in our case
x = sqrt(25×144) = 5×12 = 60
HELP ME
Final exam guide due
Show work
The approximate height of the tree is given as follows:
45.6 ft.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The altitude segment for this problem is given as follows:
14.5 ft.
The bases are given as follows:
5.2 ft and x ft.
Hence the value of x is given as follows:
5.2x = 14.5²
x = 14.5²/5.2
x = 40.4 ft.
Hence the height of the three is given as follows:
5.2 + 40.4 = 45.6 ft.
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What is the distance between -4/3 and 1/3
Answer:
5/3
Step-by-step explanation:
its Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs 15/m2. (Take n=3.14) flonath 44 cm and bent it into the shape of a circle.
Step-by-step explanation:
Given diameter of table (circular) =1.6m
radius =0.8m
area of circle = πr
2
=3.14×0.64=2.0096m
2
Now rate of polishing per meter square =15Rs
Cost of polishing table top = 15×2.0096
cost = 30.14m
2
irreducible fraction of -72/80 please
Answer:
Step-by-step explanation:
-72/80 = -36/40 = -18/20 = -9/10
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
3d + 5 where d=3 show work
Answer:
•Equation => 3d + 5
d = 3
3 x 3 + 5
9 + 5
14 = Answer
Hope it's helpful
Answer:
3d+5=9+5=14
Step-by-step explanation:
3(d)=3*3=9
D=3
+5=14, answer is 14
brainest?
of the three stress-strain curves shown here (a, b, c), which of the following statements is most likely true. of the three stress-strain curves shown here (a, b, c), which of the following statements is most likely true. material b is likely a metallic material because it shows brittle behavior. material a is likely a ceramic material because it shows brittle behavior. material c is likely a polymeric material because it shows brittle behavior. material c is likely a ceramic material because it shows ductile behavior. material b is likely a ceramic material because it shows brittle behavior.
Based on the stress-strain curves shown, the most likely statement is that Material A is likely a ceramic material because it shows brittle behavior.
Brittle behavior is characterized by low ductility and little plastic deformation before failure, which is evident in the stress-strain curve for Material A. The curve for Material B shows some plastic deformation before fracture, which indicates a higher level of ductility than Material A. The stress-strain curve for Material C shows a high level of ductility, with a long plastic deformation region before fracture. This behavior is typical of polymeric materials, so Material C is most likely a polymeric material.
It is not possible to determine the specific type of material based solely on stress-strain curves, as many materials can exhibit similar behaviors. Additionally, it is not accurate to say that Material B or Material C are likely ceramic materials based on their stress-strain curves, as both exhibit significant plastic deformation before failure, which is not typical of brittle ceramics.
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A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 30 meters of fencing available, determine the dimensions that would create the garden of maximum area. What is the maximum possible area?
The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters
What is measurement?
Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.
Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.
Since we have 30 meters of fencing available, the total length of wire fencing used is:
L + 2W = 30 - W
Simplifying this equation, we get:
L = 30 - 3W
The area of the garden is:
A = LW
Substituting the expression for L from the previous equation, we get:
A = W(30 - 3W)
Expanding the expression, we get:
A = 30W - 3W²
To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:
dA/dW = 30 - 6W = 0
Solving for W, we get:
W = 5
Substituting this value back into the expression for L, we get:
L = 15
Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:
A = 5(15) = 75 square meters
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What is the value of x?
Answer:x=31
not sure
Step-by-step explanation:
Help! Look at the figure. If mzJ = 55, find m
90
35
70
55
The value of the required missing angle is;
m<JKM = 35°
How to find the missing angle of the triangle?We know from geometry that the sum of angles in a triangle sums up to 180 degrees.
Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.
We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.
Thus to find the angle m<JKM, we can write the name expression as;
m<JKM = 180 - (90 + 55)
m<JKM = 35°
Thus that's the value of the required missing angle.
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