Answer:
No, 15/21 and 40/56 do not form a proportion.
Step-by-step explanation:
Two lines, A and B, are graphed (Look at the picture):
Determine the solution and the reasoning that justifies the solution to the systems of equations.
a.(−4, 6), because both the equations are true for this point
b.(2, 8), because the graph of the two equations intersects at this point
c.(2, 8), because neither of the two equations is true for this coordinate point
d.(−4, 6), because the graph of the two equations intersects the axis at these points
Answer:
B. (2,8), because both equations intersect at this point
Answer:
B. (2,8), because both equations intersect at this point
Step-by-step explanation:
Why is it answer B? Because of Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.
PLEASE HELP ASAP VERY IMPORTANT I WILL DO ANYTHING THNK YOU SO MUCH ITS MY BDAY TMRW TOO
Answer:
i dont have the answers i just wanted to say happy b day
Step-by-step explanation:
The points (2.1, -4.2) and (2.5, -5) form
a proportional relationship. What is the slope of
the line that passes through these two points?
Answer:
m = -2
Step-by-step explanation:
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The slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
Recall:
The slope (m) of a line can be calculated using the formula:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the points that a line passes through are:(2.1, -4.2) and (2.5, -5)
To calculate the slope of the line that passes through both points, let,[tex](2.1, -4.2) = (x_1, y_1)\\\\(2.5, -5) = (x_2, y_2)[/tex]
Plug in the values into the formula:Slope (m) = [tex]\frac{-5 -(-4.2)}{2.5 - 2.1} = \frac{-0.8}{0.4} = -2[/tex]
Therefore, the slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
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Can someone help me please
Answer:
a. angle 6 and angle 7
b. angle 6 and angle 8
c. angle 3 and angle 1
Step-by-step explanation:
linear pair is two angles that share a base and and add up to 180
vertical angles is the pair of opposite angles formed by two intersecting lines
congruent is the same measure
Answer:
see explanation
Step-by-step explanation:
(a)
A linear pair of angles, are adjacent to each other and sum to 180°
There are 8 linear pairs in the diagram, they are
1 and 2 / 2 and 3 / 3 and 4 / 4 and 1 / 5 and 6 / 6 and 7 / 7 and 8 / 8 and 5
(b)
There are 4 vertical angles in the diagram
1 and 3 / 2 and 4 / 5 and 7 / 6 and 8
Note that vertical angles are congruent
Other congruent angles are
2 and 6 / 3 and 7 / 1 and 5 / 4 and 8 ( All corresponding angles )
4 and 6 / 3 and 5 ( are Alternate angles )
If f(x)=x2-1, what is f(4)?
Answer: 15
Step-by-step explanation:
Substitute 4 in x.
What is the slope of the line that passes through the points (-6, -10) and (3,-13)? Write your answer in simplest form.
We must use slope formula* to solve this.
[tex]\frac{-13 - (-10)}{3 - (-6)}\\\\\frac{-3}{9} = -\frac{1}{3}[/tex]
m** = [tex]-\frac{1}{3}[/tex]
*Slope Formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
**m is the symbol for slope.
Given m∥n, find the value of x and y.
Answer:
x=15
y=63
Step-by-step explanation:
y= 2x-4
6r - 3y = 12
HELPPPP.
Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?
Answer:
500-10x=250
x=how much the bird descended in a second
the bird will land on the ground in another 10 seconds.
Step-by-step explanation:
the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.
Answer:
a) [tex]h(t)=500-25t[/tex]
b) [tex]t=20[/tex]
Step-by-step explanation:
a)
Let [tex]h[/tex] = height above ground
Let [tex]t[/tex] = time
Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.
∴ [tex]h(t) = 500-25t[/tex]
b)
To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:
[tex]0=500-25t[/tex]
[tex]25t=500[/tex]
[tex]t=20[/tex]
∴ It takes 20 seconds for the bird to reach the ground.
Given the sum of the interior angles of a polygon, tell the number of sides of the polygon.
If the interior angle sum is 360°, the polygon has _
sides.
If the interior angle sum is 540°, the polygon has _
sides.
If the interior angle sum is 900°, the polygon has _
sides.
If the interior angle sum is 1260°, the polygon has _
sides.
Answer:
[tex] \underline{the \: sides \: are} \: \to \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed{ n= 5}} \\ \:\underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed{ n= 9}} \\ \: [/tex]
Step-by-step explanation:
[tex] \\ the \: sum \:o f \: the\: interior \: angles \: of \: aregular \: polygon \: \\ is \: generaly \: given \: by \to \: 180(n - 2)\\ \underline{ \boxed {case \:( 1) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 360°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 360 \\ n - 2 = 2 \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed {case \:( 2) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 540°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 540 \\ n - 2 = 3 \\ \underline{ \boxed{ n= 5}} \\ \: \underline{ \boxed {case \:( 3) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 900°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 900 \\ n - 2 = 5 \\ \underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed {case \:(final ) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 1260°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 1260 \\ n - 2 = 7\\ \underline{ \boxed{ n= 9}} \\ \: [/tex]
♨Rage♨
Answer:
4,5,7,9
Step-by-step explanation:
Got it right on edge
What is the measure of Zx in the diagram shown below?
A
23°
B
33°
С
113°
157°
Answer:
Since that is a right angle it is going to equal 90 degrees. Since you know that the first angle is 67 degrees subtract 67 from 90 and get 23 degrees.
Step-by-step explanation:
determine the measure of angle a. PLEASE HELP ASAP!
a.64 degrees
b.45 degrees
c.88 degrees
d.42 degrees
Answer:
D
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle will always total 180.
Therefore:
[tex](9x+6)+(74)+(16x)=180\\[/tex]
Let’s solve for x:
Combine LIke Terms:
[tex](9x+16x)+(74+6)=180[/tex]
Add:
[tex]25x+80=180[/tex]
Subtract 80 from both sides:
[tex]25x=100[/tex]
Divide both sides by 25:
[tex]x=4[/tex]
Therefore, the value of x is 4.
Now, to find A, we can substitute it for A.
A is measured by:
[tex]\angle A=9x+6[/tex]
Substitute 4 for x and evaluate:
[tex]\angle A=9(4)+6=36+6=42\textdegree[/tex]
Hence, our answer is D.
Solve 2y - 14 = -8 for y
Answer: y = 3
Step-by-step explanation:
2y - 14 = -8
2y - 14 + 14 = -8 + 14
2y = 6
y = 3
The number of sticks of gum varies directly as the number of packages. There are 36 sticks of gum in 2 packages. Suppose you have 5 packages of gum. Write and solve a direct variation equation to determine how many sticks you have
Answer:
36 x 2 = 72
36 divide by 2 = 18
72+18=90
90 is the answer
Step-by-step explanation:
At the beginning of a baking session, there were 2.26 kilograms of flour in the bag. By the end of the baking session, there was 0.98 kilogram of flour in the bag. What is the percent of decrease in the amount of flour? Round the percent to the nearest tenth if necessary.
Answer:
The answer I got was 56.6%.
A pet store has 8 dogs, 12 turtle, and 3 cats. Write a ratio for each of the following situations.
Turtles to dogs and cats:
dogs to turtles
Answer:
Turtles to dogs and cats: 12,8,3
dogs to turtles: 8,12
again i need some help with this :D
Answer:
v + u - 4
Step-by-step explanation:
1.15÷0.23=? pls answer guys
Answer:
5
Step-by-step explanation: I used a calculator
LAST QUESTION PLS HELP idk if you can see it all
Answer:
C is the right answer
Step-by-step explanation:
11) Which of the following is zero of the polynomial x^3+x^2+x+1
1
-1
both options 1 and 2
None
please answer
Answer:
The correct answer is option 2: -1
Step-by-step explanation:
In order to check if a number is zero of a function or not, the numer is put into the function in plave of variable. If the answer is zero thent he number is zero of the function and if the answer is not zero the given number is not a zero of the function.
Given function is:
[tex]x^3+x^2+x+1[/tex]
Putting x=1
[tex]=(1)^3+(1)^2+1+1\\=1+1+1+1\\=4[/tex]
1 is not zero of the function.
Putting x = -1
[tex]=(-1)^3+(-1)^2+(-1)+1\\=-1+1-1+1\\=0[/tex]
-1 is zero of the given function.
Hence,
The correct answer is option 2: -1
Use a quick picture to model 0.62 -0.18. Then write in your answer.
Answer:
0.44
Step-by-step explanation:
Subtraction is just like addition. How much do you need to make 0.18 0.62? then you have your answer. This is just a strategy.
What is the value of y?
Answer:
y = 29 degrees
Step-by-step explanation:
5y + 35 = 180
5y = 145
y = 29
Make t the subject of the formula
t = (3m -1) / (m - 1)
What is subject of formula?The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign.
In order to change the subject of a formula, or rearrange a formula, items in the formula need to be rearranged so a different variable is the subject. Knowledge of solving equations and inverse operations is very useful.
Given formula.
m = t + 1 / t - 3
m ( t - 3) = t - 1
mt - 3m = t - 1
mt - t = 3m - 1
t(m - 1) = (3m - 1)
t = (3m -1) / (m - 1)
Hence, the formula becomes t = (3m -1) / (m - 1).
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twice the greater of two integers odd integers is 13 less than 3 times the lesser number. find the integers. what are the integers to this riddle?
Answer:
17 and 19
Step-by-step explanation:
n= lesser integer n+2= greater integer
2(n+2) = 3n -13
2n +4 = 3n-13
n= 17
lesser number =17
The other greater number = 19 (they are odd,so skipping 18)
19 x 2 = 38
17x3 - 13 =51-13 = 38
What is the slope of the line (-3,0) and (0,-4)
PLEASE HELP An algebraic ___ is a mathematical phrase
With numbers, variables, operations for days.
is it coefficient , expression or evaluate
Answer:
Expression
Step-by-step explanation:
The definition of an Algebraic Expression is this:
Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes, and letters are used to express problems.
It can not be an Algebraic Equation because that only includes one variable.
I Hope That This Helps! :)
**PLEASE HELP I NEED IT WITHIN 20 MINUTES**
These are Trig Ratios and you can read the instructions to solve question 15 & 16 (if you can please show the work it would be greatly appreciated)
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions[1][2]) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena, through Fourier analysis.
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their side lengths are proportional. Proportionality constants are written within the image: sin θ, cos θ, tan θ, where θ is the common measure of five acute angles.
The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function (called inverse trigonometric function), and an equivalent in the hyperbolic functions as well.[3]
The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extending these definitions to functions whose domain is the whole projectively extended real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) is often used. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane (from which some isolated points are removed).
Contents
Right-angled triangle definitions Edit
A right triangle always includes a 90° (π/2 radians) angle, here labeled C. Angles A and B may vary. Trigonometric functions specify the relationships among side lengths and interior angles of a right triangle.
Plot of the six trigonometric functions, the unit circle, and a line for the angle θ = 0.7 radians. The points labelled 1, Sec(θ), Csc(θ) represent the length of the line segment from the origin to that point. Sin(θ), Tan(θ), and 1 are the heights to the line starting from the x-axis, while Cos(θ), 1, and Cot(θ) are lengths along the x-axis starting from the origin.
In this section, the same upper-case letter denotes a vertex of a triangle and the measure of the corresponding angle; the same lower case letter denotes an edge of the triangle and its length.
Given an acute angle A = θ of a right-angled triangle, the hypotenuse h is the side that connects the two acute angles. The side b adjacent to θ is the side of the triangle that connects θ to the right angle. The third side a is said to be opposite to θ.
If the angle θ is given, then all sides of the right-angled triangle are well-defined up to a scaling factor. This means that the ratio of any two side lengths depends only on θ. Thus these six ratios define six functions of θ, which are the trigonometric functions. More precisely, the six trigonometric functions are:[4][5]
sine
{\
Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
egadar amd fred share cupcakes in the ratio 3:1 if edgar gets 9 cakes how many does fred get(pleez someone anwer my question
Answer:
3
Explanation:
For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.
A construction crew has repaired 1.37 miles of a highway. The total length of the highway to be repaired is 7.9. How many miles are left to be repaired?
Answer:
Part A: m+1.37=7.9
Part B: 6.53 miles are left to be repaired.
Step-by-step explanation:
Given,
Length of repaired part = 1.37 miles
Total length to be repaired = 7.9 miles
Miles left to be repaired = m
Part A:
Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.
Miles left to be repaired + Length of repaired part = Total length to be repaired
m+1.37=7.9
Part B
How many miles are left to be repaired?
Subtracting 1.37 from both sides
6.53 miles are left to be repaired.
Keywords: length, subtraction
Step-by-step explanation: