9514 1404 393
Answer:
y = 1/6x
Step-by-step explanation:
The constant of proportionality is the ratio of y to x:
k = y/x
Using the point you have circled, it is ...
k = 2/12 = 1/6
Then the equation y = kx can be written:
y = 1/6x
Identify the vertex and axis of symmetry of the graph of g(x) = |x|- 8
The vertex of the absolute function g(x) = |x|- 8 lies at (0,-8).
What is an absolute function?The absolute value or modulus of a real number x, denoted by |x|, is its non-negative value regardless of its sign.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the absolute function is g(x) = |x| - 8. The vertex will be calculated by plotting the function on the graph.
From the graph, the vertex of the absolute function lies at the point ( 0,-8). The graph is attached with the answer below.
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If x^{2} + y*sqrt{xy} = 10 and y^{2} + x*sqrt{xy} = 20, what is x?
Answer:
45
Step-by-step explanation:
If x and y are positive integers, what is the value of x√+y√x+y?
(1) x + y = 10
(2) xy−−√=2xy
I can't figure it out.
2x+2y=2
-4x+4y=12
Answer:
how to solve 2x+2y=2 , -4x+4y=12
this is solving equations using substitution .... i have ALOT more but i juss dnt get this stuff
2x + 2y = 2 -4x + 4y = 12
x + y = 1
x = 1 - y
-4x + 4y = 12
-4(1 - y) + 4y = 12
(-4 + 4y) + 4y = 12
-4 + 8y = 12
8y = 16
y = 2
2x + 2y = 2
2x + 2(2) = 2
2x + 4 = 2
2x = -2
x = -1
Check.
-4x + 4y = 12
-4(-1) + 4(2) = 12
4 + 8 = 12
Answer: x = -1 and y = 2
Step-by-step explanation:
simplify the expression. 7x^2+3-5(x^2-4) edguneity
Answer:
2x^2+23.
Step-by-step explanation:
Combine like terms.
This expression simplified is 2x^2+23.
The rectangular floor of a classroom is 40 feet in length and 24 feet in width. A scale drawing of the floor has a length of 20 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Answer:
Perimeter = 64 inches
Step-by-step explanation:
40':20" = 1':1/2"
24' =12"
20+20+12+12 = 64 inches
Which statement is true about the slope of the graphed line?
Answer:
B, the slope is positive.
Step-by-step explanation:
You can tell that the slope is positive because it is going upwards from left to right.
95 divided by 9 please helppppppp
Answer: 95 divided by 9 is 10.5 BUT WITH THE 5 REPEATING
Step-by-step explanation:
which of the expressions bellow is equal to -3x - 39
Answer:
117
(-3) × (-39) = 117
Step-by-step explanation:
hope it helps!
Please help !!! I’m stuck
Answer:
2/3 ≈ 0.6667
Step-by-step explanation:
apply soh cah toa
sine=opposite/hypo
sine=4/6
sine=2/3
Question:
A soccer ball has a radius of 11 cm. What is the volume of the soccer ball in cubic centimeters? Use 3.14 for pi. Round your
answer to the nearest hundredth.
Answer:
V = 4/3 * pi * radius^3
= 4/3 * 22/7 * 11*11*11 = 117128/21 = 5577.5238092.....
Step-by-step explanation:
broooo plzzz helpppp
Answer:
3 3/5 + 1 1/4 = 4 17/20
7/8 + 1/12 = 23/24
8/9 - 2/5 = 22/45
5 1/4 - 2 2/3 = 2 7/12
Step-by-step explanation:
3 3/5 + 1 1/4
First convert into improper fractions
= 18/5 + 5/4
Now find the common denominator
72/20 + 25/20 =
97/20
Now simplify
4 17/20
Next problem:
7/8 + 1/12
find the common denominator
21/24 + 2/24 =
23/24
Next problem:
8/9 - 2/5
find the common denominator
40/45 - 18/45 =
22/45
Next problem:
5 1/4 - 2 2/3
First convert into improper fractions
21/4 - 8/3
find the common denominator
63/12 - 32/12 =
31/12
Now simplify
2 7/12
find the equation of a line passing through the point(-3,0) and (2,-3)
Answer (assuming the question allows it to be written in slope-intercept form):
[tex]y = -\frac{3}{5} x-\frac{9}{5}[/tex]
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], substitute the given points' x and y values, and simplify:
[tex]m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}[/tex]
Thus, the slope is [tex]-\frac{3}{5}[/tex].
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute real values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{3}{5}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:
[tex]y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}[/tex]
Answer:
y = -3
Step-by-step explanation:
The cost of 7 scarves is $85.75. What is the unit price
Answer:
The cost of 1 scarf is $12.25 each.
Step-by-step explanation:
Show work.
HELP PLSSSSS
Answer: 40%
Step-by-step explanation:
6/15 = 0.4 = 40%
Answer:
40%
Step-by-step explanation:
Since there are 15 fruites, and 6 of them are apples,
then, 6/15 of all the fruites are apples.
Converting 6/15 in a percentage, we get:
6/15 = 0.4 = 40%
help help help quick
The area of a rectangle is 735 in squared. The ratio of the length to the width is 5 : 3. Find the length and the width.
Answer: Length = 35
Width = 21
Step-by-step explanation:
From the question, we are informed that the area of a rectangle is 735 in squared and that the ratio of the length to the width is 5 : 3.
To find the length and the width of the rectangle goes thus. We should note that the area of a rectangle is the length multiplied by the width.
Therefore, 5x × 3x = 735
15x² = 735
x² = 735/15
x² = 49
x = ✓49
x = 7
Recall that length = 5x = 5 × 7 = 35
Width = 3x = 3 × 7 = 21
Please Help Me with my homwork
Answer:
first blank is -3/2
Step-by-step explanation:
second blank is 2
-x + 4 = -9 Solve the equation.
Answer:
-13
Step-by-step explanation:
Subtract 4 from both sides of the equation
+ 4 = − 9
+ 4 − 4 =− 9 − 4
Simplify
Solution:
= − 1 3
Answer:
x = -13
Step-by-step explanation:
I hope it helps you, sorry if it is wrong.
A baseball is thrown straight up in the air with an initial velocity of 2 m/s. Draw a picture that shows the path of the ball as it goes up and comes down. Label the initial velocity, the velocity at max. height, and the acceleration of the ball.
Answer:
e
Step-by-step explanation:
y−6=4(x+5) what is the slope
Answer:
4 is the slope
Step-by-step explanation:
y−6=4(x+5)
This equation is in point slope form
y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
4 is the slope and ( -5,6) is a point on the line
\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 59^\circ59
∘
59, degrees.
What is the measure of \angle b∠bangle, b?
Answer:
31°
Step-by-step explanation:
because angle a and angle b are complementary they equal 90 degrees in total
a+b=90
since angle a = 59°
59+b=90
so you use subtraction property of equality and subtract 59 from both side of the equal sign
59+b=90
-59 -59
b= 31°
Daniel wants to know the volume of his cube. He notices that the cube 1/5 centimeters side lengths. What is the volume of the cube?
Answer:
1/125 cm^3
Step-by-step explanation:
Given data
Length of one side = 1/5cm
Required
The volume of the cube
We know that
V= l^3
substitute
V= (1/5)^3
V= 1/125cm^3
Hence the volume is 1/125 cm^3
Mark jogged 3 5/7 km. His sister jogged 2 4/5 km. How much farther did Mark jog than his sister?
Step-by-step explanation:
so therefore mark jogged 2 36/70km more than his sister
The number of kilometers that Mark jog more than his sister will be 32 / 35 km.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mark jogged 3 ⁵/₇ km. His sister jogged 2 ⁴/₅ km.
Convert the mixed fraction number into a fraction number. Then we have
3 ⁵/₇ = 3 + 5/7 = 26/7
2 ⁴/₅ = 2 + 4/5 = 14/5
Then the number of kilometers that Mark jog more than his sister will be given as,
⇒ 26/7 - 14/5
⇒ 32 / 35 km
The number of kilometers that Mark jog more than his sister will be 32 / 35 km.
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HELP PLEASE DUE TODAY: Write the ratio as a fraction in simplest form.
10 feet to 4 yards
Answer:
imma say 10/4
Step-by-step explanation:sorry if wrong
Answer: 5 feet 2 yards
Step-by-step explanation: Just divide both of the numbers by a number that both of them can go through
Find the value of X:
Answer:
x=9
Step-by-step explanation:
I took one side, and made proportions:
12:16
3:4
so, x-1:6=3:4
(x-1)/6=3/4
solve it for x=9
Answer:
9
Step-by-step explanation:
Hope this helps!
Plz Mark Brainliest!
Trevon is buying a car. He is borrowing $12,000 from the bank at a rate of 5% for 4 years. At the end of 4 years, how much interest did Trevon pay?
$24,000
$24,000
$2,400
$2,400
$4,800
$4,800
$600
Baby Rachel wants to arrange 12 blocks in a row. How many different arrangements can she make
Answer:
479,001,600 different arrangements
Step-by-step explanation:
Select each equation which is equivalent to 60% of 25.
✓
0.6 • 25 = x
X • 1.6 = 25
16
60
100
25
25
100
6.0 • 25 = x
Answer:
Step-by-step explanation:
The answer choices are not displaying properly. There are many ways to express the relation. For example:
X = 60% of 25
X = 0.60 × 25
X = 0.6 × 25
X = 60/100 × 25
X = 6/10 × 25
X = ⅗ × 25
The right triangle below has legs of length and.
The hypotenuse has length.
Four copies of this triangle are arranged as follows.
The hypotenuses form a square of side length and area.
Answer the questions below to find how, and are related.
Part 1: Compute the total combined area of the four triangles:
Part 2: Compute the area of the large (outer) square:
Part 3: Using your answers in Parts 1 and 2, find the area of the small (inner) square.
Part 4: We are given the side lengths and. Compute.
Part 5: Use, or complete the statement below.
Answer + explanation:
Part 1: First, find the area of one triangle using the formula base * height / 2. You have base = 10 and height = 7, so area = 7 * 10 /2 = 70/2 = 35. Since you're finding the combined area of 4, you have to do 35 * 4 = 140.
Part 2: To do this, find the side length of the square. Looking at the picture, you see that all you have to do is 10 + 7 = 17 to find one side. Then, to find the area do 17 * 17 = 289.
Part 3: To find the area of the small square, all you do is area of the large square - combined area of 4 small triangles, so 289 - 140 = 149.
Part 4: a^2 = 7 * 7 = 49. Then, b^2 = 10 * 10 = 100. Adding them together, you get 100 + 49 = 149.
Part 5: Since you already have the a^2 + b^2 part, all you need to do is find what c^2 is. You can see in the picture that c^2 equals the area of the small square, which you found in part 3. c^2 = 149. Then, you have 149 and 149, which are equal so the answer is =.
Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f(x)=4(3)x to predict the population growth. Which rule can also model the function?
Answer and explanation:
Given that initial population of fruit flies = 4
And population of fruit flies triple every week
If population of fruit flies triple every week then let x represent number if weeks
Therefore function can be modelled thus :
f(x)= 4 + 3x
To demonstrate that the function is correct, we use an example. Now assume population grows for two weeks, using the function:
f(2)= 4+3×2
f(2)= 10
Therefore population grows to 10 fruit flies in 2 weeks based on our function