Answer:
y = (-1/2)x + 4Step-by-step explanation:
Moving from (0, 4) to (2, 3), we see x increasing by 2 from 0 to 2 and y decreasing by 1 from 4 to 3.
Thus, the slope of this line is m = rise / run = -1/2.
Starting with y = mx + b, we substitute 0 for x, 4 for y and -1/2 for b, obtaining:
4 = (-1/2)(0) + b. Therefore, b = 4, and the desired equation is:
y = (-1/2)x + 4
Δ ABC is isosceles with m∠B ≅ m∠C. If m∠A = 100°, m∠B = (12x + 4)°, and m∠C = (14x - 2)°, find x.
A) 1
B) 3
C) 5
D) 7
will mark brainliest if correct and give 50 pts.
The answer is B. If angle b is congruent to angle c, then you would write the problem as 12x + 4= 14x-2. X=3. You can check by substituting three for x.
Final answer:
To find the value of x in the isosceles triangle ABC with given angle expressions, we set the expressions for angles B and C equal, leading to a simple equation that yields x = 3.
Explanation:
The question involves finding the value of x in an isosceles triangle where the angles at base B and C are given as algebraic expressions in terms of x. Since triangle ABC is isosceles with angles at B and C being equal, we can set the expressions for m∆B and m∆C equal to each other and solve for x.
Let's set up the equation using the fact that m∆B = m∆C since ∆ ABC is isosceles:
(12x + 4)° = (14x - 2)°
We can then solve for x:
Subtract 12x from both sides: 4° = 2x - 2°
Add 2° to both sides: 6° = 2x
Divide by 2 to solve for x: x = 3
The value of x is therefore 3, which corresponds to answer choice B.
two lenghts are in the ratio 7:8. if the first lenght is 273m, what amount is the second lenght
Answer:
312 m
Step-by-step explanation:
Write and solve an equation of ratios:
7 273 m
----- = ------------
8 x
Then 7x = 8(273 m) = 2184 m
and x = 2184 m / 7 = 312 m
The second length in the given ratio of 7:8, when the first length is 273m, is calculated to be 312m.
Explanation:The given question is about ratios, particularly the ratio between two lengths, where one of them is given as 273 meters and the ratio is 7:8. The ratio tells us that for every 7 units of the first length, there are 8 units of the second length. To calculate the second length, first find the value of one ratio unit by dividing the given length by its ratio (273m / 7), then multiply your result by 8.
Steps:
1. 273m / 7 = 39m (This is one ratio unit)
2. 39m * 8 = 312m (This is the second length).
Therefore, the length of the second line is 312 m.
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PLEASE HELP
which function rule would help you find the values in the table
p 2, 4, 6, 8
q -14, -28, -42, -56
A. q = -7p
B. q = p - 7
C. q = - 14p
D. q = p - 14
ANSWER
[tex]q = - 7p[/tex]
EXPLANATION
The constant difference of p values is
4-2=2
The constant difference of the 'q' values is
-28--14=-14
The function is of the form:
[tex]q = m(p - p_1) + q_1[/tex]
where
[tex]m = \frac{change \: in \:q }{change \: in \: p} [/tex]
[tex]m = \frac{ - 14}{2} = - 7[/tex]
We plug in the values to get;
[tex]q = - 7(p - 2) + - 14[/tex]
Expand:
[tex]q = - 7p + 14+ - 14[/tex]
Simplify:
[tex]q = - 7p[/tex]
Find 4 1/5 - 7 2/3
28 2/15
28 3/10
32 1/5
323/5
Answer:
Final answer is [tex]=3\frac{7}{15}[/tex].
Step-by-step explanation:
[tex]4\ \frac{1}{5}-7\ \frac{2}{3}[/tex]
[tex]=\frac{4\cdot5+1}{5}-\frac{7\cdot3+2}{3}[/tex]
[tex]=\frac{20+1}{5}-\frac{21+2}{3}[/tex]
[tex]=\frac{21}{5}-\frac{23}{3}[/tex]
[tex]=\frac{21}{5}\cdot\frac{3}{3}-\frac{23}{3}\cdot\frac{5}{5}[/tex]
[tex]=\frac{63}{15}-\frac{115}{15}[/tex]
[tex]=-\frac{52}{15}[/tex]
[tex]=-3\frac{7}{15}[/tex]
Hence final answer is [tex]=3\frac{7}{15}[/tex].
x 0 4 9 10 y 3 2 7 -1 Graph the relation and its inverse. Use open circles to graph the points of the inverse.
Answer:
Observe the attached image
Step-by-step explanation:
If we have a function f(x), the inverse of the function denoted [tex]f ^{- 1} (x)[/tex] will have as domain the range of f(x) and its rank will be the domain of the function f(x) this means that if f(x) is given by the following ordered pairs:
x: 0, 4, 9, 10; and: 3, 2, 7, -1
(0, 3) (4, 2) (9, 7) (10, -1)
Then [tex]f ^{- 1}(x)[/tex] will have the following ordered pairs
x: 3, 2, 7, -1 and: 0, 4, 9, 10
(3, 0) (2, 4) (7, 9) (-1, 10)
Observe the attached image
The blue dots are the ordered pairs of the relationship
The red open dots are the ordered pairs of the inverse of the relationship
The table shows the relationship between the number of roller coasters written at the fair and the amount spent at the fair graph the data in a scatterplot and describe the trend shown by the graph
Answer:
I believe its C
A scatter plot is just plotting the x and y coordinates on the graph.
x is horizontal (side to side) and y is vertical up and down.
What is the meaning of a scatter plot?
A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.
The trend is just basically a line you guesstimate in the middle of the points that are scattered through the graph.
Describe it by saying whether it is positive or negative.
Therefore option C is correct.
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Simplify the expression 7√5 - 3√80
A) -5√5
B) -4√75
C) -5
D) 4√-75
Answer:
A.) -5 √5
Step-by-step explanation:
if you solve the problem above, and solve each answer choice, you can ind a match
Hope this helped! ^_^
The expression 7√5 - 3√80 is simplified as negative 5√5. Then the correct option is A.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ 7√5 - 3√80
Then the expression is simplified as
⇒ 7√5 - 3√(16 x 5)
⇒ 7√5 - 3 x 4√5
⇒ 7√5 - 12√5
⇒ -5√5
Then the correct option is A.
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Tara read 3 1/2 pages in 2 1/2 minutes. Which rate is equivalent to Tara’s unit rate
Tara's unit rate of reading is 1.4 pages per minute, which means an equivalent rate is 2.8 pages per 2 minutes.
The question involves calculating an equivalent rate to Tara's unit rate of reading pages per minute. To find Tara's unit rate, we first need to determine how many pages she reads in one minute. Since Tara reads 3 1/2 pages in 2 1/2 minutes, we divide the number of pages by the number of minutes to find the unit rate:
3 1/2 pages / 2 1/2 minutes = 7/2 pages / 5/2 minutes = 7/2 * 2/5 pages per minuteThis simplifies to 7/5 pages per minute or 1.4 pages per minute.To find an equivalent rate, we can multiply both the numerator and the denominator by the same number to get a rate with different terms but the same value. For example, multiplying by 2 would give us:
(7/5) * 2 pages per (1) * 2 minutes = 14/5 pages per 2 minutes = 2.8 pages per 2 minutesTherefore, an equivalent rate to Tara's reading speed would be 2.8 pages per 2 minutes.
How do you find the area of a circle?
(I’m in 7th grade)
Answer:
A =πr^2
Step-by-step explanation:
Answer: The formula for the area of a circle is pi times the radius, squared (A = π r²)
Step-by-step explanation:
Which figure is always a rectangle
Answer:
A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.
Step-by-step explanation:
Please give me brainiest! <:)
What is the mean of the data displayed in the line plot below?
A. 2
B. 4
C. 5
D. 6
The mean is the average.
Total the numbers and divide by the quantity of numbers.
2 +2 + 3 + 3 +4 +4 +4 +5 +5 +5 +5 + 6 = 48
48 / 12 = 4
The answer is B.4
Answer: The answer is B (or 4)
For a field trip, 29 students rode in cars and the rest filled nine buses. how many students were in each bus if 551 students were on trips?
Answer:
58 students were in each bus
Step-by-step explanation:
First, you'd have to subtract 29 from 551. This gives you 522. Then, you'd simply have to divide 522 by 9. 5 cannot go into 9 so we drag down the 2, 9 can go into 52 5 times. Then, you'll be left with 7, so you bring down the last digit, 2. 9 goes into 72 exactly 8 times.
Rewrite the radical expression as an expression with rational exponents.
5 square root of x to the 7th power
Hello!
5 √ x^7
(^7) means smaller 7 exponent
Hope I helped!
~ Destiny ^_^
Final answer:
To rewrite the radical expression 5 square root of x to the 7th power with rational exponents, express it as 5x7/2.
Explanation:
To rewrite the radical expression as an expression with rational exponents, we can use the property that the square root is equivalent to raising to the power of 1/2. Thus, 5√x7 = 5x7/2.
what is the negative reciprocal of 3
1÷3=13.
Step-by-step explanation:
To find the reciprocal of any number simply take 1 and divide it by that number, so the reciprocal of 3 is 1÷3=1/3. We can check that this is the multiplicative inverse of 3 by multiplying those two numbers together and seeing if we get 1: so 3×1/3=3×1/3=1. Where it says =3 you put a line through that 3.
Which dimensions can create more than one triangle
Answer:
Three angles, measuring 25,65, and 90.
Step-by-step explanation:
What is the equation of the graph below?
Answer:
Step-by-step explanation:
the equation of the graph : y = sin(x + 90°)
because when : x= 0 : y = sin90° = 1
Answer:
Option A y = sin ( x + 90 )
Step-by-step explanation:
The given graph is the graph of cosine which should be in the form of
y = a cos ( bx + c ) + d
here a = amplitude = [tex]\frac{1-(-1)}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Since period of the wave is 2x or 360°.
we know, period = [tex]\frac{2\pi }{b}[/tex]
[tex]b=\frac{2\pi }{2\pi }[/tex] = 1
Now equation becomes,
y = cos ( x + c ) + d
In this graph there is no horizontal or vertical shift
c = 0 and d = 0
so equation will be y = cos (x)
as we know y = cos (x) = sin ( 90 + x )
Therefore, Option A y = sin ( x + 90 ) is the answer.
please explain this to me. so i came across this act question. the book explains the answer but i dont understand (answer is B)
we know line P is y = 3x.
parallel lines have the same slope but different y-intercept, where the graph touches the y-axis. So then parallel lines is the same equation but shifted some either upwards or downwards or sideways.
so then line Q must be the same as P, y = 3x + "some change", well, we notice that the perpendicular distance from each other is 3 units, so then, the y-intercept of P is at (0, 0), thus the y-intercept of Q must be 3 units downwards, at (0, -3), since Q is shifted downwards, thus Q is y = 3x - 3.
Pencils cost 25p each. Mr smith spends £15 on pencils. Work out the number of pencils he gets.
Answer:
Step-by-step explanation:
A rectangular sheep pen measures 5 m long and 9 m wide. The perimeter of the cow pen is double the perimeter of the sheep pen what is the perimeter of the cow pen?
Answer:
56m
Step-by-step explanation:
First calculate the perimeter of the sheep pen.
The perimeter is all the side lengths added together.
The rectangle has two sides that are 5m long and two sides that are 9m long.
5 + 5 + 9 + 9 = 28m
Now that you know the perimeter of the sheep pen you can double it by multiplying by 2 to find tha perimeter of the cow pen.
28 * 2 = 56m
Answer:
56
Step-by-step explanation:
5×2 +9×2=28
28 × 2 =56
Which equation yields the solutions x=−3 and x=−4?
a)2x2+14x+24=0
b)x2−6x+5=0
c)3x2+30x+48=0
d)−3x2−12x+15=0
Answer:
a) 2x² + 14x + 24 = 0
Step-by-step explanation:
a)
2x² + 14x + 24 = 0
2(x + 4) (x + 3) = 0
x = -4 or x = -3
b)
x² - 6x + 5 = 0
(x - 1)(x - 5) = 0
x = 1 or x = 5
c)
3x² + 30x + 48 = 0
3 (x + 8) (x + 2) = 0
x = -8 or x = -2
d)
-3x² - 12x + 15 = 0
-3 (x + 5) (x - 1) = 0
x = -5 or x = 1
Final answer:
The equation which yields the solutions x=-3 and x=-4 is a. 2x² + 14x + 24 = 0.
Explanation:
To find which equation yields the solutions x=-3 and x=-4, we need to determine which equation, when factored, gives these roots. If an equation has roots x = -3 and x = -4, then it can be written in factorized form as:
(x + 3)(x + 4) = 0
Expanding this, we get:
x² + 4x + 3x + 12 = 0
x² + 7x + 12 = 0
Looking at the given options, we notice that none of them exactly match this equation. However, if we multiply our equation by 2, we get:
2x² + 14x + 24 = 0
This matches option (a). Therefore, the correct equation is:
2x² + 14x + 24 = 0
Describe the transformations to get from image A to A'.
Answer:
A reflection over the y axis and then a reflection over the x axis gets a to a'. Hope this helps!
4,11,6,9,23,34,6,9
What is the median for this set of numbers
A. 6
B.10
C.14
D.16
Answer:
The Median is 9
Step-by-step explanation:
To calculate the median of a data set the first step is to sort the data from least to greatest
4,11,6,9,23,34,6,9
4, 6, 6, 9, 9, 11, 23, 34
The second step is to locate the central value. If the total amount of data is an even number then locate the two central data and the median will be the average of both. In this case we have 8 data. Then the central values will be the data number 4 and the data number 5
4, 6, 6, [9, 9], 11, 23, 34
[tex]Median = \frac{9+9}{2}=9[/tex]
Which of the following best describes the relationship between the data displayed in the scatter plot below?
A Positive linear association
B Negative linear association
C no association
D Quadratic association
Answer: No association
Do you need to write a formula to find the perimeter of a polygon?
Answer: No. But there are steps you have to take
Step-by-step explanation: To find the perimeter of a regular polygon, that is a polygon with equal sides. First, write down the length of 1 side and the total number of sides. Then, multiply the 2 numbers together to find the perimeter.
Here is the picture i'm mostly trying to understand how to solve these type of problems.
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of "h"}}{\left( \cfrac{25}{100} \right)h}\implies 0.25h \\\\\\ \stackrel{\textit{Rob spent then}}{\stackrel{\textit{planned hours}}{h}+\stackrel{\textit{extra hours}}{0.25h}}\implies h+0.25h\implies \stackrel{\textit{common factor}}{h(1+0.25)}\implies 1.25h[/tex]
Which of the following is not an idea from the enlightenment?
Answer:
The answer is B.
Step-by-step explanation:
Please make me the brianliest
What is the slope of the line (7,6) and (3,2)
Answer:
1
Step-by-step explanation:
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 6) and (x₂, y₂ ) = (3, 2)
m = [tex]\frac{2-6}{3-7}[/tex] = [tex]\frac{-4}{-4}[/tex] = 1
24 is 0.4 of what number
Answer:
60
Step-by-step explanation:
All you have to do is this:
24 * 2/5 (original equation)
24*5/2 = 60
calculate the angle between the longest side and the diagonal of a 577mm by 1000mm rectangle
This should help in the photo
The angle between the longest side and the diagonal of the rectangle is approximately 30 degrees.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
To solve this problem, we can use the Pythagorean theorem and trigonometric functions.
First, we can find the length of the diagonal of the rectangle using the Pythagorean theorem:
diagonal² = longest side² + shortest side²
diagonal² = 1000² + 577²
diagonal = √(1000² + 577²)
diagonal = 1162.46 mm (rounded to two decimal places)
Next, we can find the angle between the longest side and the diagonal using the inverse tangent function:
tan(θ) = opposite / adjacent
tan(θ) = 577 / 1000
θ= arctan(577 / 1000)
θ= 29.98
θ ≈ 30 degrees
Therefore, the angle between the longest side and the diagonal of the rectangle is approximately 30 degrees.
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Determine the projection of u=1.6i+3.3j in the v=-2.1i-0.5j direction
The projection of [tex]\vec u[/tex] onto [tex]\vec v[/tex] is
[tex]\mathrm{proj}_{\vec v}(\vec u)=\dfrac{\vec u\cdot\vec v}{\vec v\cdot\vec v}\vec v[/tex]
We have
[tex]\vec u\cdot\vec v=1.6\cdot(-2.1)+3.3\cdot(-0.5)=-5.01[/tex]
[tex]\vec v\cdot\vec v=\|\vec v\|^2=(-2.1)^2+(-0.5)^2=4.66[/tex]
[tex]\implies\mathrm{proj}_{\vec v}(\vec u)=\dfrac{-5.01}{4.66}\vec v\approx2.26\,\vec\imath+0.54\,\vec\jmath[/tex]
Answer:
answer is B i think on edg. 2.3i+0.5j
Step-by-step explanation:
just took the test