Answer:
d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
A line parallel to the graph of (y − 4) = m(x − 7) passes through (−1,−2) and (m, 10). If
m > 0, what is the value of m?
Answer:
Step-by-step explanation:
Givens
These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.
x1 = - 1
x2 = m
y1 = - 2
y2 = 10
Second line formula for m
m = (y2 - y1) / (x2 - x1) Substitute values for this equation
Solution
Note that the m you seek is both the slope of the second line, and the x coordinate of one of the points.
m = (10 - - 2) / (m - - 1) Change the double minus, and combine
m = 12 / (m + 1) Multiply both sides by (m + 1)
m(m+1) = 12 Remove the brackets
m^2 + m = 12 Subtract 12 from both sides.
m^2 + m - 12 = 0 Factor
(m + 4)(m - 3) = 0
We are told that m >0
So m- 3 = 0
m = 3
Answer
The value for m = 3. The first line also has a slope of 3
"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples
Answer:
Not true.
Step-by-step explanation:
A rational function is like P(x) / Q(x) where P and Q are polynomials.
Examples would be x^2 / (x^2 - 2) and x^2 / (x^2 + 2).
Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.
The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this is all real numbers , and no asymptotes.
a. translation; four units right and six units down
b. translation; four units left and six units down
c. rotation; 90 degrees
d. reflection; across y=-4
Answer:
b. translation; four units left and six units down
Kiran has a toy car collection. He keeps some in a display case and the rest on the wall. 195 of his toy cars are on the wall, and 35% of his toy cars are in the display case. What is the total number of toy cars in Kiran's collection?
35% are in display cases which means 65% are on the wall.
this means 195 cars is 65% of the collection.
to get total number of cars in the collection divide 195 by 65%
195/0.65 = 300
answer: 300 total cars
An airplane flies with a constant speed
of 680 miles per hour. How long will it
take to travel a distance of 2720 miles?
4 hours
T= d/s
= 2720/680
= 4
Hope this helps!
Find the area of the figure. Use 3.14 as π.
Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²
Answer:
D. 94.25
Step-by-step explanation:
Hey there! In order to answer this question: you need to take the area of the triangle and the area of half of a circle
The formula for the area of a triangle is: base x height x 1/2
11 x 10 x 1/2 = 55
To find the area of a circle, you have to take the radius, square it, and multiply it by 3.14
So the radius is 5 since 10 is the diameter of the circle
Now we have to square that which is 25
Multiply 25 by 3.14 which is 78.5
Now since we are dealing with a half circle and the area for the whole circle is 78.5, we divide 78.5 by 2 which is 39.25
Now you have to add those two areas and that will get your final answer
55+39.25 is 94.25
So the area for this figure is 94.25 square inches
Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p? StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.
Answer:
The answer is C
Step-by-step explanation:
PLEASE HELP!! 50 POINTS!!
Part A
[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]
Part B
Some common choices for base:
2310Part C
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]
1.58 is the value when rounded to nearest hundredth.
Einstein's theory of Relativity E=mc²
Answer:
Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.
The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.
×
E=mc2
In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.
The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."
Which expressions are equivalent to In e?
Answer:
1
log 10
Step-by-step explanation:
In e = 1
In e = log 10
Hope it helps you in your learning process.
Help?? Thanks if you do
Answer:
l = 6[tex]a^{4}[/tex] + 2a - 1
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width )
given A = 18[tex]a^{5}[/tex] + 6a² - 3a and w = 3a , then
3aw = 18[tex]a^{5}[/tex] + 6a² - 3a ( divide each term by 3a )
w = [tex]\frac{18a^{5} }{3a}[/tex] + [tex]\frac{6a^2}{3a}[/tex] - [tex]\frac{3a}{3a}[/tex] = 6[tex]a^{4}[/tex] + 2a - 1
3. Write 6x - 2y = 0 in slope-intercept form, if possible.
Answer:
y=3x
Step-by-step explanation:
Answer:
y = 3x
Step-by-step explanation:
subtract 6x to the other side
divide by -2
there is no y-intercept because it's 0
Write a second equation for the system so it has infinitely many solutions.
Write a second equation whose graph goes through (0,2) so that the system has no solutions.
Write a second equation whose graph goes through (2,2) so that the system has one solution at (4,3).
Answer:
See below ↓
Step-by-step explanation:
Our equation :
y = 3/2x - 3(A) Infinitely Many Solutions
y = 3/2x - 3The slope and y-intercept have to be equal in order for it to have infinitely many solutions(B) No solution
y = 3/2x + 1The slope has to be equal and the y-intercept has to be different in order for it to have no solution(C) One solution at (4, 3)
x has to equal 4y = 3/2x - 3 and y = 2x - 1In both of these equations, (4, 3) is a solutionhelp!!!!!!! hurry and help me pls!
Answer:
(2, 4)
Step-by-step explanation:
A reflection across the y-axis, will simply change the sign of your x-coordinate to positive rather than negative, this gives you a new point (2,4).
A 48-fluid-ounces container of orange juice costs $.2.40.A 60-fluid -ounces container of orange juice costs $3.60.Which is the better coast
Answer:
48/2.40 = 60/360
Step-by-step explanation:
do a proportion chart
What is the inverse of Vx +4,
Answer:
c. X^2 - 4
Step-by-step explanation:
Replace X with Y
X = Sqrt(Y+4)
square both sides to solve for Y
X^2 = Y+4
subtract 4 from both sides
X^2 - 4 = Y
answer option C is correct
What percent of the utterances in the sample need to be 1 word in length in order to use Nelson's or Bloom's One-Word Utterance Analyses
The percent of the utterances in the sample need to be 1 word in length is 13.3%.
How to calculate the percentage?Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.
Therefore, the percentage will be:
= 1 word/Total words × 100
= 12/90 × 100.
= 13.3%
In conclusion, the percentage is 13.3%.
Learn more about percentages on:
https://brainly.com/question/24877689
61, 98, 60, 60, 57, 81, 93
Mean
Median
Mode
Range
find the sum of all the values and divide the sum by the number of values.
[tex] \frac{(61 + 98 + 60 + 60 + 57 + 81 + 93)}{7} = \frac{510}{7} [/tex]
[tex] = 72.86[/tex]
median:arrange the values in either ascending or descending, and find the number in the middle.
[tex]57 \: 60 \: 60 \: 61 \: 81 \: 93 \: 98[/tex]
[tex] = 61[/tex]
mode:the most frequently occurred number.
[tex] = 60[/tex]
range:arrange the values in ascending order and subtract the lowest value from the highest one.
[tex]98 - 57[/tex]
[tex] = 41[/tex]
Please help me with this problem I’m very confused and cannot figure it out
A helicopter is flying at an altitude of 306 meters, at an angle of depression of 38° to its landing pad. What is the distance d between the helicopter and the landing pad? Round your answer to the nearest whole number.
Answer:
497 mStep-by-step explanation:
Use tigonometry to find the value of d
sine = opposite side / hypotenuse306/d = sin 38°d =306/sin 38° d = 497 m (rounded)Answer:
497 m (nearest whole number)
Step-by-step explanation:
As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.
Sine trigonometric ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the given diagram:
[tex]\theta[/tex] = 38°O = 306 mH = dSubstitute the values into the formula and solve for d:
[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]
[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]
[tex]\implies \sf H=497.0263891...[/tex]
Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).
look at attachment hurry
Answer:
the top one on the right
Step-by-step explanation:
i used desmos graphing calculator
posting this again please help^
I have no idea thank me for my help
If V(-5, -2) is
reflected in the line
y = -6, what are
the
coordinates
of V?
Answer:
(-5, - 10 )
Step-by-step explanation:
y = - 6 is a horizontal line parallel to the x- axis passing through all points with a y- coordinate of - 6
under a reflection in this line the x- coordinate of the point V is the same
V (- 5, - 2 ) with y- coordinate - 2 is 4 units above y = - 6
the reflected point will therefore be 4 units below y = - 6, that is - 10 , then
V (- 5, - 2 ) → V' (- 5, - 10 )
A textbook store sold a combined total of 255 sociology and physiology textbooks in a week. The number of sociology textbooks sold was two times the number of physiology textbooks sold. How many textbooks of each type were sold?
Answer:
75 physiology Textbook was sold and 150 sociology textbook was sold
Step-by-step explanation:
Let x represent textbook
2x + x = 225
⇒3x = 225
⇒[tex] \sf \frac{\sout{3}x}{\sout{3}} = \frac{225}{3}[/tex]
⇒x = 75
75 textbooks for physiology
To find How many textbook for sociology
Multiply 2 by the amount of physiology
⇒2 × 75
⇒150 sociology textbook
Find the circumference of each circle. Use 3.14 or 22/7 for π. Round to the nearest tenth if necessary.
I'm going to keep asking because I have no clue how to solve these
Answer:
219.8 yd
Step-by-step explanation:
Circumference Formula= πd or 2πr
Plug in the values. The diameter of this circle is 70 yds.
70(3.14) (replace 3.14 for π)
70*3.14=219.8 yds
Hope this helps ^^
a certain number is added to 6 and then divided by 10. The result is 3. Find the number
Answer:
let the number be x.
(x+6)/10 = 3
x+6 = 30
x =24
find a, b, and c please and thank u
one side of a triangle is 8 inches long and another side is 4 inches long. The third side is opposite an obtuse angke. What is a possible length of the third side? Explain
Answer:
it should be over 8 inches long
Step-by-step explanation:
by the instructions
a side of a triangle is 8 inches and other one is 4 inches
and the OPPOSITE of OBTUSE angle is the 3 Rd one
As the Third side which connect the 1st and 2nd side ( of the obtuse angle) it should be over 8 inches.
Evaluate 49x - 2 when x = 1
Answer:
49(1) - 2 =
49x1=49
49 - 2 = 47 is your answer
Answer:
47
__________________________________________________________
SolveIf the variable, x has an assigned value, you must multiply the number behind x by the assigned value.
[tex]49 * 1 = 49[/tex]
Lastly, subtract by 2
[tex]49 - 2 = 47[/tex]
________________________________________________________
Questions?Ask me in the comments box.
Four congruent right triangles are cut off the corners of a square. The diagram below shows
the dimensions of thesquare and the congruent right triangles.
What is the area of the shaded part of the diagram?
A. 18 sq. in
B. 20 sq. in
C. 28 sq. in
D. 34 sq. in
Answer:
C
Step-by-step explanation:
Find area of all trinagles and subtract that by total area of square.