The equation of a line in point-slope form is expressed as:
y = mx + b
m is the slope of the lineb is the y-interceptGiven the inequality -2y > 7x + 4, this can also be expressed as:
-2y > 7x + 4
y < -7/2x -4/2
y< -7/2x - 2
This shows that the line will be a dashed line and cuts the y-axis at y= -2
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Find the 12th term of the geometric sequence 5,–25, 125, ...
Answer:
244140625
5¹²
it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.
Calculate the slope of the coordinates (5,10) (10,20)
Answer:
m=2
Step-by-step explanation:
What part of the coordinate plane is equidistant from the points A(-3,2)and B(3,2)?
explain the answer
Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
Answer:
[tex]c = 0.35 x + 24[/tex]
Step-by-step explanation:
First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:
cost = 35¢ (number of miles) + $24 (starting fee)
We can also write this like this:
[tex]c = 0.35x + 24[/tex]
If you want to test this equation, put in a value for the x variable, like so:
Value: 25 miles
[tex]c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75[/tex]
For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.
Martin drank 2/3 liter of water Monday before going jogging.He drank 3/7 liter of water after his jog.How much water did Martin drank altogether?Write your answer as a mixed number.
A principal of $2900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 7 years?
Let S = Sum after 13 years
So = amount invested
t = time in years
i = annual interest rate = .0325
The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21
Find the values of x and y.
Answer:
x=68/9; y=38/3.
Step-by-step explanation:
1) according to the condition m(ABC)=m(DEF), then 6y-4=80, ⇒ y=38/3;
2) according to the condition AB=DE, then 10=3x-y. If y=38/3, then 10=3x-38/3; ⇒ x=68/9.
PLZ HELP ME
NO LINKS PLZ
Answer:
the domain is -11,10 but i didnt know if you wanted that or not
Step-by-step explanation:
Khloee spent $55.23 on a 12 pound box of apples. How much did the apples cost per pound?
Answer:
4.603/Lb
Step-by-step explanation:
$55.23 / 12 = 4.603/Lb
Which equations below represent nonlinear functions?
y = 4x + 16
y = x2 − 2
34x − 9 = y
y = 7x
y = −8x
Abigail’s family was going on vacation. They decided to rent a jet ski. When they went to rent the jet ski, they had to pay a $40 deposit and then $35 an hour.
Which equation could be used to calculate how many hours they rented the jet ski if they ended up paying a total of $145.
A. 145 + 35x = 40
B. 35x = 145 + 40
C. 35x - 40 = 145
D. 40 + 35x = 145
Answer:
The Answer To This Question Is D.
Step-by-step explanation:
So they had to pay 40 and then 35 an hour = 40 + 35x = 145
Hope this helps! Please Mark Brainliest!
Write an equation of the line that passes through (4, -5) and is perpendicular to
the line y = 2x +3
Hello there!
We are given the equation of the line
y=2x+3
What's the equation of the line perpendicular to it?
Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, make it negative, and flop it over.The slope of the line perpendicular to the given line is -1/2.Now that we have the slope of the line and a point that the line passes through, we can find the equation of the line.Write it in Point-Slope form:y-y1=m(x-x1)y-(-5)=-1/2(x-4)y+5=-1/2(x-4)y+5=-1/2x+2y=-1/2x+2-5y=-1/2x-3Therefore, this is the equation. Hope it helps. Good luck.
To clarify any doubts, use the comment section.
Answered by
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What number is halfway between 6.7 and 11.9
Answer:
2.05
Step-by-step explanation:
To find the Median value, we begin by sorting Or arranging our numbers In ascending Or descending order.
-8.8,-5.7,-2.6,0.5,3.6,6.7,9.8,11.9
Having an even (8) number of values, the median is the midway point between the two middle numbers.
In our case the two middle numbers are 0.5 and 3.6
(0.5+3.6)/2
Median=2.05 (In words: two && 5/100)
Is the graph increasing, decreasing, or constant?
O A. Decreasing
O B. Increasing
O C. Constant
Answer:
Increasing
Step-by-step explanation:
As we go further on the x-axis, we can see the Y value going up, thereforth it is increasing
The line plot shows the costs of 5 books. A teacher buys all 5 books. She pays
with a $100 bill. How much change should she get?
Answer:
$36 in change
Step-by-step explanation:
book cost total: 64
100-64=36
If you aren't sure how to read the chart, each "X" represents one book and the numbers below represent the price.
Find the slope for (3,0) and (4,1)
Answer:
The slope is 1
Step-by-step explanation:
the formula for finding slope is : y2-y1/x2-x1
2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1
Therefore, the slope is 1.
The figure shows triangle DEF and line segment BC, which is parallel to EF:
Triangle DEF has a point B on side DE and point C on side DF. The line BC is parallel to the line EF.
Part A: Is triangle DEF similar to triangle DBC? Explain using what you know about triangle similarity. (5 points)
Part B: Which line segment on triangle DBC corresponds to line segment EF? Explain your answer. (3 points)
Part C: Which angle on triangle DBC corresponds to angle F? Explain your answer. (2 point
Part A: Yes, Triangle DEF and DBC are the same triangle, but DBC is smaller than DEF because it is just a cut off of DEF.
Part B: I am pretty sure it is angle C.
Part C: I am pretty sure it is angle D.
Answer:
Step-by-step explanation:
Part A.
m < B = m < E (corresponding angles, (BC parallel to EF))
m < C = m < F ( as above)
So triangles DBC and DEF are similar ( by 2 equal angles).
Part B.
Line segment BC ( as they are both opposite < D)
Part C.
< C as its in same relative position to < F.
Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.
Answer:
the BIG B (big base) is 2(5*6)*½ which is 30.
the bottom is 8*5 which is 40.
the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.
30+40+104=174 SQUARE FEET
7+2x/3=5 please give me an answer as soon as you can
Answer:
x = -3
Step-by-step explanation:
7 + 2x/3 = 5
3 . 7 + 2x
-------------- = 5
3
21 + 2x
----------- = 5
3
Drag the numbers below to put them in order from least to greatest:
-9 -12 -4
–4 20 -1 -6
Answer:
-12, -6, -4, -1, 9, 20
Step-by-step explanation:
9, -12, -4, 20 -1, -6
putting them in order from least to greatest means that negatives should go to the left (1st), largest should go to the right (last).
The number -9, -12, -4, 20, -6, -1 in the order from least to greatest is -12, -9, -6, -4, -4, -1, 20.
Given data: -9, -12, -4, 20, -6, -1
Starting from the smallest number:
-12 is the smallest number.
Next is -9, which is larger than -12 but smaller than -6.
Then comes -6, larger than -9 but smaller than -4.
After that, we have two occurrences of -4.
Following that is -1, greater than -4.
Finally, the largest number is 20.
So, the numbers in ascending order are: -12, -9, -6, -4, -4, -1, 20.
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A school staff meeting had 30 teachers in attendance, 60% of whom were first-year teachers. How many first-year teachers were in the meeting?
Answer:
I personally think the answer is because if the 60% of the teachers among 30 teachers were first-year teachers,then it would mean the other 40 % of the teachers were recent/ this year teachers.
What is the range of the function y= √x+5
Answer: {f(x)∈R∣f(x)≥0}
Step-by-step explanation: The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .
Answer:
Y>0
Step-by-step explanation:
To determine the range of this function, we must first evaluate the domain. The square root function is a nice, neat function as long as the radicand isn’t negative. In this function, the radicand becomes negative after x gets smaller than -5, so the domain of this function is [-5, infinity).
Now that we know the domain, we can calculate the range. Beginning with the left boundary, we can substitute -5 into the function to see what y equals at this x-value. At -5, y equals 0, so the minimum value for the range is 0; with the right boundary, substituting infinity yields infinity, so the range is any number greater than 0.
The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation
y = 187.6/1 + 29.4e^-0.03x
Which statement best interprets a value in the equation?
The city population in 1800 was 187,600 people.
The city population grows by 29,400 people per year.
The limiting value of the city population is 29,400 people.
The limiting value of the city population is 187,600 people.
Answer:
D. The limiting value of the city population is 187,600 people.
Step-by-step explanation:
I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021
4. Janet has 30 classmates in her classroom. 18 of those
classmates are girls. If there are a total of 500 students in
her school, approximately how many students are girls?
Ejemplo de procedimiento
Answer:
300
Step-by-step explanation:
Let x represent number of girls.
18 girls / 30 students
x girls / 500 students
18/30 = x/500
x = 18/30 x 500
x= 300 girls
Therefore there are approximately 300 girls in the school.
Select the correct answer.
Triangle ABC is reflected across the yaxls and then dilated by a factor of 2 centered at the origin. Which statement correctly describes the
resulting Image, triangle DEF?
Answer: B
Step-by-step explanation:
Reflection does preserve side length and dilation preserves angles.
The solution is Option B.
The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the triangle be represented as ΔABC
Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin
And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
So , only the x coordinate of the point changes and there is no change in the angles or the side lengths
Now , dilation changes the side lengths of the triangle by a factor of 2
But there is no change in the angles of the triangle after a dilation
Hence , reflection preserves the angles and side lengths of a triangle
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the pentagons ABCDE and JKLMN are similar find the length x of JK
Answer:
x = 4
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values
[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )
x = 4
Find the area of an equilateral triangle with side length 4.6 cm. Round your answer to 1 DP.
Answer:
A = 9.2 cm²
Step-by-step explanation:
A = 1/2 bh, you know the base = 4.6 and you need to find the height of the triangle.
Drawn the attitude of the equilateral triangle to the base and use a² + b² = c²
c = side of the triangle = 4.6 , b = 1/2 0f 4.6 = 2.3 . the attitude to the base ÷ the base in half.
a² + (2.3)² = (4.6)²
a² + 5.29 = 21.16
a² = 21.16 - 5.29
a² = 15.87
[tex]a = \sqrt{15.87}[/tex]
Now we know the height of the triangle = [tex]\sqrt{15.87}[/tex] , the base = 4.6
A = 1/2bh
A = 1/2 (4.6)([tex]\sqrt{15.87}[/tex] )
A = 9.1625
A = 9.2 cm² or the A of any equilateral triangle = [tex]\frac{\sqrt{3} }{4} s^2[/tex]
A = [tex]\frac{\sqrt{3} }{4} (4.6)^2[/tex]
A = 9.1625
A = 9.2
Explain what similarity means in terms of congruence and proportionality.
Answer: Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.
Step-by-step explanation: pls give brainlist
factor the expression 9x^2+4 explain your steps if not possible explain why not
Urgent!
<6 and what angle are corresponding angles?
Answer:
11
Step-by-step explanation:
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).