Answer:
The answer is
[tex] \huge - \frac{6}{11} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{8 - 2}{ - 6 - 5} = \frac{6}{ - 11} = - \frac{6}{11} \\ [/tex]
We have the final answer as
[tex] - \frac{6}{11} \\ [/tex]
Hope this helps you
Which equation represent the line shown on the graph
Use a cofunction identity to rewrite cos(120° − (30° + a)).
Answer:
sina
Step-by-step explanation:
Using the cofunction identity
cos(90 - x) = sinx , then
cos(120 - (30 + a) )
= cos(120 - 30 - a)
= cos(90 - a)
= sina
An expression is defined as a set of numbers, variables, and mathematical operations. Using a cosine function identity cos(120° − (30° + a)) can be written as sin a.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given cosine expression can be rewritten as,
cos(120° − (30° + a))
Opening the bracket, to simplify the angle,
= cos(120° − 30° − a)
= cos(90° − a)
Since the cosine and sine angles are complementary to each other, therefore, cos(90° − x) = sin(x), thus, we can write the expression as,
= sin a
Learn more about Expression:
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Deal Finder is sorting its production supply of long-sleeve shirts. They have 1,089 long-sleeve shirts. The first 266 are donated, and the rest are split up to be shipped to 3 stores. What fraction represents how many long-sleeve shirts each store will receive? Input your answer as a mixed number. Whats the anwser?
Answer:
274 1/3 long sleeve shirts
Step-by-step explanation:
Deal Finder is sorting its production supply of long-sleeve shirts. They have 1,089 long-sleeve shirts. The first 266 are donated
Hence,
1089 - 266
= 823 long sleeve shirts are left
The rest are split up to be shipped to 3 stores.
This is calculated as:
= 823 long sleeve shirts /3 stores
= 274 1/3 shirts
What fraction represents how many long-sleeve shirts each store will receive?
Each store will receive : 274 1/3 long sleeve shirts
(b) Factorise fully.
10x²+6x
Answer:
2x(5x + 3)
Step-by-step explanation:
Factor out common factors. Note that both terms have x inside it. Therefore, you will factor out one x from each term.
Note the factors of both 10 & 6:
10: 1 , 2 , 5, 10
6: 1 , 2 , 3, 6
Note that the greatest factor shared is 2. Divide 2 and x out from both terms:
(10x² + 6x)/2x = 5x + 3
2x(5x + 3) is your answer.
~
how do i write this equation in function notation.
=−2/5+1
Answer:
f(x) = −2/5x + 1
Step-by-step explanation:
when putting an equation in function notation first you must make sure the equation is in slope-intercept form and then you must rewrite the equation but instead of putting y you will replace it with f(x), or g(x), whichever one you are given directions to put it as.
Hope This Helps!
Plz Mark Brainliest!
Which one is false? :D
2. The maroon team and the orange team played a
game of football. The maroon team scored 30
points and the orange team scored 9 points. What is
the ratio of points scored by the maroon team to
points scored by the orange team?
Answer:
30:9
Step-by-step explanation:
The maroon team scored 30 points
The orange team scored 9 points
30:9
What is the value of the expression All of 3.6 multiplied by 10 to the power 8 over all of 1.2 multiplied by 10 to the power 3?
Answer:
aswer is something
Step-by-step explanation:
Answer: Ur mom
Step-by-step explanation:
An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water equal to 2 ml. The height of the water rose to 7 ml. If the mass of the stone was 25 g, what was its density?
Answer:
Step-by-step explanationNote:
1
ml
=
1
cc
If the water rose
7
ml
−
2
ml
=
5
ml
then the stone had a volume of
5
ml
or
5
cc
With a mass of
25
g
it must have a density of
XXX
25
g
5
cc
=
5
g/cc
Cheyenne collects movies. She has 435 movies that are either comedy, scary, or sci-fi. She has the same number of videos for each genre. How many movies does she have in each genre. Draw a model and write an equation that represent the problem. Solve.
Can someone help me please, thanks.
Solve the system.
X+y=8
2x^2 - y= -5
Answer:
third option
Step-by-step explanation:
[tex]( x + y = 8 ) + ( 2x^{2} - y = -5 )\\\\(x + y + 2x^{2} - y ) = 8 + (-5)\\2x^{2} + x = 3[/tex]
If the perimeter of this quadrilateral is 79 inches, what is the measure of the missing side length in inches?
Answer:
79 = 13+15+24+ missing side. 79 = 52 + missing side
Answer:
the answer would be 49 on the other side
I WILL GIVE YOU BRAINLIEST
Answer:
3 million or 3 x 10^6
Step-by-step explanation:
You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6
the bottom of a ladder must be placed 10 feet from a building. The ladder is 26 feet. How far above the ground does the ladder touch the wall?
Answer:
The ladder touches the wall at 24 feet from the ground.
Step-by-step explanation:
The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.
In any right triangle, we can apply Pythagora's theorem to find any missing side length.
The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:
[tex]26^2=10^2+H^2[/tex]
Calculating:
[tex]676=100+H^2[/tex]
Solving:
[tex]H^2=676-100[/tex]
[tex]H^2=576[/tex]
[tex]H=\sqrt{576}[/tex]
H=24 feet
The ladder touches the wall at 24 feet from the ground.
Find the distance from point A(-1/4,5) to the line -x+2y=14. Round your answer to the nearest tenth.
Answer:
The distance from A(-1/4, 5) to the line -x + 2·y = 14 is approximately 1.7 units
Step-by-step explanation:
The shortest distance from a point to a line is the perpendicular from the line to the point
The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;
-x + 2·y = 14
2·y = 14 + x
y = 14/2 + x/2 = x/2 + 7
y = x/2 + 7
The slope, m₁ = 1/2 and the y-intercept = 7
Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2
Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2
The equation of the line is therefore;
y - 5 = -2(x - (-1/4))
y - 5 = -2·x - 1/2
y = -2·x - 1/2 + 5 = -2·x + 9/2
y = -2·x + 9/2
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;
-2·x + 9/2 = x/2 + 7
9/2 - 7= x/2 + 2·x
-2.5 = 2.5·x
x = -2.5/2.5 = -1
x = -1
y = x/2 + 7 = -1/2 + 7 = 6.5
y = 6.5
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)
The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where;
(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)
Plugging in the values, we have;
[tex]l_{AB} = \sqrt{\left (6.5-5 \right )^{2}+\left ((-1)-(-1/4) \right )^{2}} = \sqrt{\left (-0.75 \right )^{2}+\left (1.5 \right )^{2}} = \sqrt{\dfrac{45}{16} } = \dfrac{3}{4} \cdot \sqrt{5}[/tex]
[tex]l_{AB} = \dfrac{3}{4} \cdot \sqrt{5} \approx 1.677[/tex]
Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.
Answer:
Step-by-step explanation: no work shown?
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6,
step by step u get 13 points
Answer:
3
Step-by-step explanation:
-33+9=-24
-24+9=-15
-15+9=-6
-6+9=3
Answer:
3, 12, 21
Step-by-step explanation:
-33+9=-24
-24+9=-15
-15+9=-6
-6+9=3
3+9=12
12+9=21
The number of chirps per minute, C, that the tree cricket makes is linearly dependent on the temperature, T, in Fahrenheit. The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute. A) Express the number of chirps, C, in terms of the temperature, T. C= B) How many chirps per minute will crickets make at 90 degrees? chirps per min.
Answer:
The answer is below
Step-by-step explanation:
A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.
a) Given that number of chirps per minute, C is dependent on the temperature, T, when T = 45 degrees, C = 0, this can be represented as (45, 0).
Also at 75 degrees, C = 126 it can be represented as (75, 126).
Using (45, 0) and (75, 126), we can determine the equation of the line from:
[tex]C-C_1=\frac{C_2-C_1}{T_2-T_1}(T-T_1)\\ \\C-0=\frac{126-0}{75-45}(T-45)\\ \\C=4.2(T-45)\\\\C=4.2T-189\\\\[/tex]
b) At t = 90°:
C = 4.2(90) - 189
C = 189 chirps per min
a. The expression of the number of chirps should be C = 4.2T - 189
b. The number of chirps per minute should be 189 chirps per min.
Calculation of an expression & number of chirps:Since The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute.
So, here we used (45, 0) and (75, 126), we can measure the equation of the line from
[tex]C- C_1 = \frac{C_2-C_1}{T_2-T_1} (T_2 - T_1)\\\\C- 0 = \frac{126-0}{75-45} (T - 45)\\\\[/tex]
C = 4.2(T - 45)
C = 4.2T - 189
b. When T = 90 degrees
So,
C = 4.2(90) - 189
= 189 chirps
Learn more about temperature here; https://brainly.com/question/18250055
Estimate √125 to the nearest integer.
Given:
The number is [tex]\sqrt{125}[/tex].
To find:
The estimate value of given number.
Solution:
We have,
[tex]\sqrt{125}=\sqrt{5\times 5\times 5}[/tex]
It can be written as
[tex]\sqrt{125}=5\sqrt{5}[/tex]
We know that, [tex]\sqrt{5}\approx 2.236[/tex]. So,
[tex]\sqrt{125}=5(2.236)[/tex]
[tex]\sqrt{125}=11.18[/tex]
Approx the value to the nearest integer.
[tex]\sqrt{125}\approx 11[/tex]
Therefore, the required integer is 11.
What are the three ways to solve the system of equations.
A) Graphing
B) Substitution
C) Elimination
D) Graphing, Substitution, and Elimination
Answer:
D
Step-by-step explanation:
graphing substitution and elimination
Find the unit rate 18 cupcakes in 3 boxes
Answer:
6 cupcakes per box
Step-by-step explanation:
divide 18 by 3
in the science club there are 2 sixth graders for every 3 seventh graders.
Answer:
Okay...
Step-by-step explanation:
Just divide as a fraction for if you finish the question.
Deon plots points to show the time it takes him to swim laps on two days. Is there a proportional relationship between the number of laps and minutes? Explain your answer.
Answer:
There's no proportional relationship between number of laps and minutes.
Step-by-step explanation:
The graph given above is a straight line graph, however, it does not cut across the point of origin (0, 0). As a result of this, it would be difficult to get a constant of proportionality, as you'd likely get different constant of proportionality between different points on the line. Thus, the ratio of y and x for each set of points may vary.
So therefore, the relationship between the x and y cannot be proportional.
We can conclude that the graph does not represent a proportional relationship between number of laps and minutes.
if you could be anything in the world what would it be
Not mathematics, but if I could be anything in the world, I'd be a bird.
I would be a pine cone cause it was an option
kim namjoon...
anyone army??
Answer:
Er... um... huh?
Step-by-step explanation:
WHAT IS THIS A CULT OR SUMTHIN'
uating an Expression Evaluate –32 + (2 – 6)(10).
Answer:
-72
Step-by-step explanation:
-32+(2-6)(10)
-32+(-4)(10)
-32+(-40)
-72
Answer:
its -49
Step-by-step explanation:
i got it right on edge 2021
Whats does d = in the equation 38 = 3d - -8
Answer:
D=10
Step-by-step explanation:
38=3d -(-8)
38=3d+8
38-8=3d+(8-8)
30=3d
30/3=3d/3
10=d
=3d+
Look at the area models.
What is the product of the fractions represented by
these two area models?
Answer:
4/25
Step-by-step explanation:
Point P'(-3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, -6) under the
same translation?
Answer:
The image of the point (0, -6) under the same translation is (-6, -12)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)∵ The coordinate of point P are (3, 8)
∵ The coordinates of its image P' are (-3, 2)
→ The x-coordinate is changed from 3 to -3, that means the point
translated to the left by h units
∵ h = -3 - 3
∴ h = -6
→ The y-coordinate is changed from 8 to 2, that means the point
translated down by k units
∵ k = 2 - 8
∴ k = -6
→ By using the rule above
∴ The rule of translation is (x, y) → (x - 6, y - 6)
∵ The coordinates of the point are (0, -6)
∴ The coordinates of its image are (0 - 6, -6 - 6)
∴ The coordinates of its image are (-6, -12)
In an aquarium, 25 of the fish are surgeonfish. Of these, 34 are yellow tangs. In simplest form, what fraction of all fish in the aquarium are yellow tangs? In an aquarium, 25 of the fish are surgeonfish. Of these, 34 are yellow tangs. In simplest form, what fraction of all fish in the aquarium are yellow tangs?
This question was not written properly
Complete Question
In an aquarium, 2/5 of the fish are surgeonfish. Of these, 3/4 are yellow tangs. In simplest form, what fraction of all fish in the aquarium are yellow tangs?
Answer:
The fraction of all fish in the aquarium that are yellow tangs = 3/10.
Step-by-step explanation:
The fraction of all fish in the aquarium that are yellow tangs=
3/4 Of 2/5
= 3/4 × 2/5
= 6/20
In its simplest form = 3/10
Therefore, the fraction of all fish in the aquarium tha are yellow tangs = 3/10
