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We have the point (-3; -4) in the coordinate system.
From this point we go 1 unit to the right and 6 units to the up.
We get the second point.
Draw a straight line.
Look at the picture.
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Antoine is wrapping a block of cheese that is 22 centimeters long by 6 centimeters high by 10 centimeters wide with plastic wrap. What is the surface area of the cheese box?
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width = 10 cm
height = 6 cm
Surface area of a rectangular prism (cheese box) = 2B + PH
Word form ⇒ 2(Area of base) + (perimeter of base)(height)
Find the measurements needed for the formula.
Area of base = 22 × 10 = 220 cm²
Perimeter of base = 22 + 10 + 22 + 10 = 64 cm
Height = 22 cm
Plug these into the formula.
2(220) + (64)(22) = 1,848
The SA of the cheese box is 1,848 cm².
Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd?
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mrs adrian bought 30 yards of dirt for her garden in her backyard. she hired 4 girls to spread the dirt if the girls divided the dirt up evenly, how many yards did each girl need to spread mrs adrians garden?
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= 30 yards ÷ 4 girls
= 30/4
simplify by 2
= 15/2
convert to mixed number
= 7 1/2 yards per girl
ANSWER: Each girl needs to spread 7 1/2 yards.
Hope this helps! :)
1 girl = 30 ÷ 4 = 7.5 yards
Answer: Each girl needs to spread 7.5 yards of dirt.
A bag has 10 marbles and 4 are black. Joseph picks 2 marbles without replacing the first. What is the probability that both are black?
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To find the probability that both marbles drawn by Joseph are black, you need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement. The probability is 2/15.
Explanation:To find the probability that both marbles drawn by Joseph are black, we need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement.
Let's calculate:
Therefore, the probability that both marbles are black is 6/45, which simplifies to 2/15.
Which choice represents the best rational approximation for *square root symbol* 3? A) 14/9 B) 15/13 C) 17/10 D) 6/5
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A rational number is a number which is in the form [tex]\frac{p}{q} ,q \neq 0[/tex]
Now, the value of the number [tex]\sqrt 3 = 1.73[/tex]
Now let us evaluate each given rational number in decimal form.
[tex]\frac{14}{9} = 1.6\\ \\ \frac{15}{13} = 1.2\\ \\ \frac{17}{10} = 1.7\\ \\ \frac{6}{5} = 1.2[/tex]
Therefore, among these numbers, the best approximation is option c i.e. 17/10.
C is the correct option.
Answer:
C) [tex]\frac{17}{10}[/tex]
Step-by-step explanation:
[tex]1,732050808 ≈ \sqrt{3} \\ \\ 1,73 ≈ \sqrt{3}[/tex]
Therefore answer choice C) would be the best approximate answer to this:
* [tex]1\frac{7}{10} = 1,7[/tex]
I am joyous to assist you anytime.
Please solve both and tell me how!
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To determine k, you need to throw x + 3 into the original function:
[tex]f(x)= x^{2} -2x-24[/tex]
So, [tex]f(x+3)[/tex] would be:
[tex]f(x+3)= (x+3)^{2} -2(x+3)-24[/tex]
Doing some FOILing/distributing, we get:
[tex]f(x+3)= (x^{2}+6x+9) -2x-6-24[/tex]
Doing some clean up/combining like terms, we get:
[tex]f(x+3)= x^{2}+4x-21[/tex]
Now, it should be clear that k=4, since k is the coefficient in front of the x term (it's the "b" in [tex]ax^2+bx+c[/tex]).
PART B:
There are several ways to find the zeros, but perhaps the easiest is to factor the result from Part A:
[tex]f(x+3)= x^{2}+4x-21=(x+7)(x-3)[/tex]
From those factors, we know that zeros occur at x = -7 and x = 3 (answers A and E).
By the way, you can check the logic of these zeros if you know about shifts/translations. [tex]f(x+3)[/tex] is a 3 unit left shift from the original function, which has zeros at x = -4 and x = 6. Well, x = -7 is 3 units to the left of x = -4. And x = 3 is 3 units to the left of x = 6. So everything seems to check out.
if 20 students ride on your bus and two fifth of them pack there lunches how many of them didnt pack there lunch
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12.
(If you need an explanation, comment below.)
Glad I Could Help, And Good Luck!
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What is the axis of symmetry for
Y=5x^2+12x+2
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The axis of symmetry is x = -6/5.
The probability of Jaden making a free throw is 15%. Predict the number of free throws that he can expect to make if he attempts 40 free throws.
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We have been given that the probability of Jaden making a free throw is 15%.
Now, we have to predict the number of free throws that he can expect to make if he attempts 40 free throws.
In order to find the total number of free throws, we will find 15% of 40.
Therefore, the number of free throws should be
[tex]15\% \text{ of }40\\ \\ =\frac{15\times 40}{100} \\ \\ =\frac{600}{100} \\ \\ =6[/tex]
Therefore, the number of free throws that he can expect to make if he attempts 40 free throws is 6.
What expression can be used for estimating 868 divided by 28?
Pls help me
Thanks
Answers
870 / 30 = 29
So 868 / 28 is approximately 29.
given the function f(x)=2x^2-3x, calculate f(a+h)-f(a)/h
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[tex] \dfrac{ f(a+h)-f(a)}{h} [/tex]
[tex]= \dfrac{2(a + h)^2 - 3(a + h) - (2a^2 - 3a)}{h} [/tex]
[tex]= \dfrac{2(a^2 + 2ah + h^2) - 3a - 3h - 2a^2 + 3a}{h}}[/tex]
[tex]= \dfrac{2a^2 + 4ah + 2h^2 - 3a - 3h - 2a^2 + 3a}{h}}[/tex]
[tex]= \dfrac{4ah + 2h^2 - 3h}{h}}[/tex]
[tex]= \dfrac{h(4a + 2h - 3)}{h}}[/tex]
[tex]= 4a + 2h - 3[/tex]
Billy is flying his new radio-controlled helicopter around town. He is using a map in which each grid line is equivalent to 100 feet. Billy releases the helicopter from the library parking lot, at (2, 6) on the map. He gets it to cruising altitude and then starts measuring its flight. Billy flies the helicopter in a direct line to the town pool, at (6, 9) on the map. How far has the helicopter flown?
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The helicopter has flown a distance of 500 feet as calculated using the Euclidean distance formula for two points on a grid.
Explanation:To find the distance the helicopter has flown, we need to calculate the Euclidean distance between the two points (2,6) and (6,9) on the grid map. We can use the formula: Distance = √[(x₂ - x₁)² + (y₂ - y₁)²], where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points. Substituting the given points into the formula, we have:
Distance = √[(6 - 2)² + (9 - 6)²] = √[(4)² + (3)²] = √[16 + 9] = √25 = 5 grid lines.
Given that each grid line is equivalent to 100 feet, the helicopter has traveled 5 grid lines * 100 feet/grid line = 500 feet.
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What is the attribute being measured?
A. Psi
B. Stress
C. glass rods
D. number of rods
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Answer:
B. Stress
Step-by-step explanation:
Did the usa prept test :)
Help please Math Geometry
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5.7+70
=???
Hope this helps
what is the length of leg s of the triangle below?
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a² + b² = c²
4² + s² = (√32)²
16 + s² = 32
s² = 16
s = 4
WILL MARK BRAINLIEST!!!
PLEASE JUST HELP!!!!
END OF UNIT ASSESSMENT TEST QUESTION!!!!
The table shows the results of a random survey of children between the ages of 10 and 15 about their favorite food.
Pizza Hamburger Chicken fingers Hot dogs Mac and cheese
67 42 59 14 24
Based on these results, if 375 children are asked about their favorite food, how many children will prefer pizza?
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Two angles are complementary. If one angle measures 32 degrees, what is the measure of the second angle?
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Complementary angles = 90°
Supplementary angles = 180°
To calculate the measure of the second angle, subtract 32 from 90.
90 - 32 = 58
The measure of the second angle is 58°. :)
If one angle measures 32 degrees, the measure of the second angle can be found by subtracting 32 from 90. Therefore, the second angle is 58 degrees.
Explanation:Complementary angles are two angles whose sum is 90 degrees. So, if one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 from 90:
Second angle = 90 - 32
Second angle = 58 degrees
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Find the area of the figure
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Just say answer, no need to explain. Thanks
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f (x) = root (x)
We have the following information:
Reflections
To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)
f (x) = - root (x)
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
f (x) = - root (x) +3
Answer:
f (x) = - root (x) +3
option C
A father is ten times as old as his daughter. In 5 years he will be just five times as old as she will be. How old are they now? HELP PLEASEEE
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The given problem is an algebraic equation where the daughter's age is denoted as 'x' and the father's age as '10x'. An equation is formulated to solve for 'x' based on future ages. The solution to the problem is that the daughter is 5 years old, and the father is 50 years old.
Explanation:The problem asked is a classic example of algebra problem solving. We are told that a father is 'ten times as old as his daughter', and in five years, 'he will be just five times as old as she will be'. Let's denote the daughter's current age as 'x'. Therefore, the father's current age will be '10x'.
In five years, the daughter will be 'x+5' and the father will be '10x+5'. At this future moment, the father is 'five times as old as the daughter', so we can create the equation: 10x + 5 = 5(x + 5). Solving this equation leads to 'x=5'. So, the daughter is 5 years old and the father is 50 years old.
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Use the above figure to answer the following questions. Show your work if possible
A. What is the intersection of plane P and plane R?
B. Name three points that are collinear
C. Name R in two more ways
D. Name four coplanar points
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#2 is A & B & D (because they all touch)
#3 is Plane DFG & Plane GFA
#4 is A & B & D & F
find the slope of, m, of the line passing through points (-4,-3) and (0,-2)
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where X2 is the x-coordinate of the second ordered pair and X1 is the x-coordinate of the first ordered pair. Same applies for Y2 and Y1.
Now we just plug in.
[tex] \frac{-2 - (-3)}{0 - (-4)} [/tex]
which equals
[tex] \frac{1}{4} [/tex] which is your slope.
The table shows the results of drawing letter tiles from a bag. What is the probability that the next title drawn will have the letter C on it?
Outcome. Number of times drawn
A. 12
B. 5
C. 18
D. 15
A) 1/18
B)6/25
C)9/25
D)18/25
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number of times C has already been drawn: 18
probability of getting a C is 18/50 which reduces to 9/25
The answer is C
How to do this I’m lost
Answers
[tex]We\ have\ y^{-1}=\sqrt{9-x}\\\\D:\\9-x\geq0\to x\leq9\\\\x\in\left(-\infty;\ 9\right>[/tex]
if triangle ABC is rotated 180 degrees about the origin, what are the coordinates of A?
Answers
Answer:
The coordinates of A is [tex](-x_1,-y_1)[/tex].
Step-by-step explanation:
We are given that a triangle ABC is rotated 180 degrees about the origin .
We have to find the coordinates of A.
Let vertices of triangle ABC [tex]A(x_1,y_1),B(x_2,y_2) ,C(x_3,y_3)[/tex]
When we rotate the about 180 degrees then the coordinates changes like as
[tex](x,y)\rightarrow (-x,-y)[/tex]
When we rotate triangle ABC about 180 degrees then its vertices Ais ([tex]x_1,y_1)[/tex] change into [tex](-x_1,-y_1)[/tex]
Hence, the coordinates of A is [tex](-x_1,-y_1)[/tex].
Final answer:
After rotating triangle ABC 180 degrees about the origin, the coordinates of point A, initially at the origin (0, 0), remain unchanged at (0, 0).
Explanation:
If triangle ABC is rotated 180 degrees about the origin, the coordinates of point A after the rotation can be determined by applying the rules of rotation in the Cartesian coordinate system. Since point A is at the origin, its initial coordinates are (0,0). A rotation of 180 degrees about the origin will essentially reflect a point over both the x-axis and y-axis, but the location of point A will remain unchanged because it is located at the center of rotation. Therefore, the rotated coordinates of point A will still be (0, 0).
verify the identity sec(theta)sin(theta)cot(theta) = 1
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sine = opposite / hypotenuse
cotangent = adjacent / opposite
So, if we multiply all three we have a numerator of
hypotenuse * opposite * adjacent and a denominator of
adjacent * hypotenuse * opposite
Notice that "hypotenuse", "opposite", and "adjacent" appear exactly once in the numerator AND the denominator.
When numerator = denominator, then a fraction equals ONE.
A circular table has a diameter of 4ft.what is its approximate area?(use pi=3)
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Area = pi r^2
r = d/2
r = 4/2
r = 2 feet
pi = 3
Area = 3 * 2 * 2 = 12 square feet <<<<<< Answer.
Somewhere in 1 Kings Ch 7, the Bible makes reference to pi being 3. It's a pretty good estimate considering the number system the Bible used.
Segment KL is tangent to ⊙ J. If KL¯¯¯¯¯¯≅JK¯¯¯¯¯, what is m∠J? The image is of a circle with centre P and having a sector KJM. KL is tangent to the circle. Points J, M and L are joined to form a horizontal line and thus a triangle KJL is formed.
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That’s what it looks like. Im not sure how to solve it either though.
what is the solution to 11/(2x+5) = 12/2x
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11 * 2x = 2x+5 * 12
22x = 12(2x+5)
22x = 24x+60
-24x -24x
-2x = 60
Divide both sides by -2
X = -30
calculate length of x
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x^2 = 576 - 90.25
x^2 = 485.75
x = √485.75
x = 22.04 cm