Answer:
1) C 2) (-2,0) 3) 4) 5) c )S={(0,3)} 6) (0,2) 7) 8) Missing graph 9) Vertical line (check below) 10) B 11)
Step-by-step explanation:
1) Solving by the Addition/Elimination Method. Firstly, let's reduce one variable by making some algebraic adjustments and then adding it up:
2) Solving by Substitution Method. Where y=x+2 is plugged in the 2nd equation.
3) Solving it, again, by the Substitution Method due to the I equation form:
4) By the Addition Method
5) To use the graph method to solve the system of Linear equations is possible by graphing each equation on the Cartesian Plane.
Check the graph below, this system has only one solution.
c)S={(0,3)}
6) Solving y=-1/3x+2 y=x+2
(Check the graph below)
A) A) (0, 2)
7) Solving by Substitution Method:
8) Missing graph
9)
Check the graph below its answer
10) Solving by the Addition Method
11) Sorry, missing graph for the question.
12) Sorry, missing graph for the question.
13) D Check the graph below
14) Sorry, missing graph for the question.
Which statement must be true
Answer:
Its A
Step-by-step explanation:
If b^p=N, then which of the following statements is also true?
it should be logb^N=p
1. Why is cosine positive in the 4th quadrant and sine isn't?
Your answer
2. An angle measures 120 degrees. Describe how to use special right triangles
and the unit circle as tools to calculate the sine and cosine of this angle.
Your answer
3. Explain why you cannot use the Distributive Property to evaluate an expression
in the form of sin(a + b). Please illustrate with an example along with your
explanation
Your answer
Answer:
because cosine dependency on sine - 1
Step-by-step explanation:
The unit circle has a radius of one, so the hypotenuse is 1. Sine is opposite over hypotenuse. Since the hypotenuse is 1, sine on the unit circle is the opposite side. When you look at the unit circle, the opposite side is perpendicular to the x-axis. This means that, essentially, the opposite side is the height from, or the distance from, the x-axis, which is the y-value.
a unit circle (a circle with radius one), is that if you draw a right triangle where the hypotenuse of the triangle connects a point on the unit circle with the point (0, 0), the length of the hypotenuse is always going to be one. Because that's the radius of the circle! And the length of the other two sides are just going to be the x and y coordinates of the point on the unit circle.
Take a little time drawing right triangles were the hypotenuse connects the middle of the unit circle to a point on the circle and see if you can convince yourself that this is the case.
So you have a right triangle where one side length is the x-coordinate and one side length is the y-coordinate, and the hypotenuse is equal to 1. This means you can figure out the sine and cosine of the angle that the hypotenuse and the x-axis make:
The cosine is the length of the adjacent side (which is the x-coordinate) divided by the length of the hypotenuse (which is 1). So the cosine is just the x-coordinate!
Similarly, the sine is the length of the opposite side (which is the length of the y-coordinate) divided by the length of the hypotenuse (which is 1). So the sine is the y-coordinate.
The trigonometric ratio defining the tangent (opposite over adjacent) may be less intuitive from the unit circle, but I hope you can see from the unit circle why the tangent of an angle is equal to the sine of the angle over the cosine.
The grid you see below is in the shape of a rectangle. What is the area, in square
units, of the shaded part?
Answer:
The area of the shaded region is [tex]18\ \text{units}^2[/tex].
Step-by-step explanation:
On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
b is base and h is height
From this figure, each box is a square of side 1 unit say.
Its height will be 4 units and its base is 9 units
So,
[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]
So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].
Which of the following number sentences is an example of the associative property of multiplication?
4 × 5 = 5 × 4
6 × 1 = 6
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
What is the surface area of the square pyramid represented by the net below?
Answer:
64 cm^2
Step-by-step explanation:
Square: 4*4 = 16
Triangles: 4((4*6)/2))
= 4(24/2)
= 4(12)
= 48
Add the square and triangles together
= 16 + 48
= 64
The total will be 64 cm^2
Answer: 64 cm2
Step-by-step explanation:
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5%
per year. What interest does he earn at the end of 1 year?
Answer:
$60
Step-by-step explanation:
SI = (PRT)/100
SI = Simple Interest
P = Principal
R = Rate ( in decimal form)
T = Time
SI = (1200 x .5 x 1)/100
SI = 6000 / 100
SI = 60
What is the value of this expression when b=5?
6(2b - 4)
Answers:36
12
20
56
Answer:
36
Step-by-step explanation:
6 (2b - 4)
6 (2(5) - 4)
6 (10 - 4)
60 - 24 = 36
What is the greatest common factor for each group?
Answer:
Left group: [tex]2x^{5\\}[/tex] Right group: 3
Step-by-step explanation:
Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )
21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.
Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex] = 2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)
Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].
Find the volume of the cone
Answer:
V≈628.32 units³
Step-by-step explanation:
I used the formula:
V=πr2h/3 (h/3 as in a fraction)
Hope this helps!
The answer is 628.32
because the formula is
V=πr2h/3
Please help, I will mark you as brainliest. Please help, use the Pythagorean theorem to find the apothem of a regular hexagon with a side length of 8
Answer:
1.755
Step-by-step explanation:
What is the x-intercept of the continuous function shown in the table? (0, –8) (0, 2) (–8, 0) (2, 0)
Answer:
d. (2, 0)
Step-by-step explanation:
In the picture attached, the missing table is shown.
At x-intercept, f(x) = 0, that is, if the value of the function is zero, the function intersects x-axis.
It can be seen at the picture, that f(x) = 0 when x = 2, then the point is (2, 0)
How do u do this plz help
Answer:
point C
Step-by-step explanation:
CAN YOU HELP PLEASE!! YEAH U!! COME ON HELP ME!!
Answer:
It's 6/18
Step-by-step explanation:
R={(-3,-2),(-3,0),(-1,2),(1,2)} Select all numbers that are in the range.
Look at the attached picture
Hope it will help you
Good luck on your assignment
What is the volume in cubic centimeters if the
pyramid has a height of 27 centimeters?
Answer:
The volume of the pyramid would be 4500 cm³.Step-by-step explanation:
Formulas you would be using:
Volume of a pyramid: [tex]V = \frac{bh}{3}[/tex] b = base, h = height
Area of a trapezoid: [tex]A = \frac{a+b}{2} h[/tex] a = base₁ , b = base₂ , h = height
First, we're going to find the area of the trapezoid, which is the base of the pyramid.
We are given that a = 20, b = 30, h = 20
Plug it in:
[tex]\frac{20+30}{2} (20)[/tex] = 500 cm²
Now that we have found the base of the pyramid, we can plug it in along with the height of the pyramid.
[tex]V = \frac{(500)(27)}{3}[/tex] = 4500 cm³
Hope this helps :D
What is the area of the sector shown?
Answer:
D.~ 34.2~cm^2
Step-by-step explanation:
An arc measure of 20 degrees corresponds to a central angle of 20 degrees.
Area of sector of circle
area = \dfrac{n}{360^\circ}\pi r^2
where n = central angle of circle, and r = radius
area = \dfrac{20^\circ}{360^\circ}\pi (14~cm)^2
area = \dfrac{1}{18}(3.14159)(196~cm^2)
area = 34.2~cm^2
Answer:
60
Step-by-step explanation:
Simplify the expression (10 + 3i)(10 - 3i)
91
109
100-30i
100+30i
Answer:
(10 + 3i)(10 - 3i)=109
Step-by-step explanation:
[tex](10+3i)(10-3i)=(10^{2} -10*3i)+(3*10i-3*3i^2)\\ =100-30i+30i-9i^2\\=100-9*(-1)\\=100+9=109[/tex]
Answer:
B) 109
Step-by-step explanation:
I took the test and got a 100%
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.
Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given
Answer:
number of math cpurses: discrete. weight of backpacks: continuous
Step-by-step explanation:
Will give brainliest answer
Answer:
[tex]31.5units^2[/tex]
Step-by-step explanation:
The shape shown above can be split into 2 triangles and 1 rectangle.
The formula for a triangle:
[tex]A=\frac{1}{2} bh[/tex]
The formula for a rectangle:
[tex]A=lw[/tex]
Area of triangle (both have the same lengths so you can just double the area):
[tex]A=\frac{1}{2} (3)(3.5)\\A=5.25[/tex]
Area of rectangle:
[tex]A=(7)(3)\\A=21[/tex]
Add the individual areas together to get the overall:
5.25 + 5.25 + 21 = 31.5
What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3
Answer:
3127
Step-by-step explanation:
YES
The volume of the given composite figure is 312π mm³
Given is a composite figure, having two solids, a cone and a hemisphere,
We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,
= 1/3 π r² h + 2/3 π r³
= 1/3 π r²[h+2r]
= 1/3 π 36[12+14]
= 312 π
Hence, the volume of the given composite figure is 312π mm³
Learn more about the volumes, click;
https://brainly.com/question/13338592
#SPJ7
Please help me find the volume of the triangular prism and the area of the hexagon.
What is the probability of two dice landing on 4 If you already know the first die has
landed on 4
Answer:
1/6
Step-by-step explanation:
no matter what, the die always has the same probability of landing on one specific number.
Really hope this helps!!
stay safe :0)
The required probability of both dice landing on 4 is 1/6.
What is probability?The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
If we already know that the first die has landed on 4, then the probability of the second die landing on 4 is the same as the probability of a single die landing on 4, which is 1/6.
This is because the two dice are independent of each other, and the outcome of the first die does not affect the outcome of the second die.
Therefore, the probability of two dice landing on 4 given that the first die has landed on 4 is 1/6 or approximately 0.1667.
more about probability here:
brainly.com/question/11234923
#SPJ2
what do I do if thre are 2 middles in a mean
Answer:
If there is an odd number of in one of the medians, the median is the center term. If there is just an even number of terms, add the two of th middle terms and then divide by 2to get your answer.
Mark as brainliest please I need a few more :D
Aiyanna and Rose have 42 cards to sign.Aiyanna signs 1/3 of the cards,while Rose signs 4/7.How many cards are left to be signed
Answer: Rose
Step-by-step explanation:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Answer:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Step-by-step explanation:
PLEASE HELP I DON'T HAVE ANYTIME LEFT!!!!
Which inequality is true? Use the number line to help.
A number line going from negative 2.5 to positive 2.5 in increments of 0.5.
Negative 1.5 greater-than 0.5
Negative 0.5 greater-than 0
Negative 1.5 less-than negative 0.5
One-half greater-than 0.5
Answer:
Negative 1.5 less than negative 0.5
Step-by-step explanation:
False, negative 1.5 would not be greater than 0.5 since negative 1.5 is a negative meaning it goes to the left of the zero, so it is less than 0.
False, negative 0.5 is again less than 0 so therefore it would not be greater.
False, one half is the same as 0.5 just in word form.
That means, negative 1.5 is less than negative 0.5 since it is further away from the 0.5 going to the left.
Answer:
C. –2.5 < –2
Step-by-step explanation:
(5×7) + 3 = 5 ×(2×7) true or false
Step-by-step explanation:
35 + 3 = 5 x 14
38 = 70
False
Answer:
false
Step-by-step explanation:
(5×7)+3
(35)+3
38
5×(2×7)
5×(14)
70
Which table represents of a linear function?
Answer:
X | Y
2 | 7
4 | 9 <-- linear.
6 | 11
8 | 13
A linear function is when there is an even consonant decline or up-rise.
X | Y
1 | 2
2 | 4 <-- also linear.
3 | 6
4 | 8
PLEASE ANSWER QUICKLY!!!
You have a regular deck of 52 cards. You are wanting to draw a king, than an ace. You draw the first card, then replace it back into the deck. Have you created an independent or dependent event?
Answer:
Dependent Event
Step-by-step explanation:
Sorry if this was late!
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the rectangle
Answer:
width = 2 units
Step-by-step explanation:
If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.
the area of a rectangle is length * width
so just substitute the values that we have now.
x (length) * (x-4) width = 12 (area of rectangle)
so that gives us
x^2 - 4x =12
subtract 12 from both sides
x^2 - 4x - 12 =0
now factor this equation
x^2 + 2x - 6x -12 = 0
x(x+2) - 6(x+2) = 0
(x-6)(x+2) = 0
x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE
length = 6, and width = 6 -4 = 2
Answer:
W=2 units
Step-by-step explanation:
Length=L
Width=L-4
Area of a rectangle= L*W
L(L-4)=12
L^2-4L=12
L^2-4l-12=0
Now we have a quadratic equation
(L-6)(L+2)=0
L=6, L=-2
L cannot be -2 because it is negative, so L must be 6.
BUT it is asking for the width
and it is given that the width is the length minus 4 units, so
6-4= 2 units
