What is the point-slope form of a line with slope 4/5 that contains the point
(-2, 1)?
Answers
Answer:
Y-1=4/5(x-(-2))
Step-by-step explanation:
Point slope form is written as y-y1=M(x-X1)
M is the slope
so replace the variables for the given value
Y-1=4/5(x-(-2))
Answer: y - 1 = 4/5 (x + 2)
Step-by-step explanation:
Related Questions
Randomization in an experiment means that the experimental units or
subjects are selected as a simple random sample from the whole population
under study.
Answers
Answer:
Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of samples is important in an experiment, that is, to carry it out in a random way.
Step-by-step explanation:
For example;
If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.
ACEG is a paralellogram. BKD, HJF and CKJG are straight lines. Find the values of x and y
Answers
Answer:
[tex]\boxed{\mathrm{x=53\° \: \: \: y=33\°}}[/tex]
Step-by-step explanation:
Apply these rules to solve:
• Angles on a straight line add up to 180 degrees.
• Angles in a triangle add up to 180 degrees.
• Opposite angles in a parallelogram are equal.
• Angles in a quadrilateral add up to 360 degrees.
Plot the image of point D under a dilation about point P with a scale factor of 1/3
Answers
Answer:
check the graph below
Step-by-step explanation:
Dilation involves changing the size and position of a point
The image of the dilation is (4,-3)
From the figure, the coordinates of point D and point P are:
[tex]D = (13,2)[/tex]
[tex]P = (1,11)[/tex]
The scale factor of dilation is given as:
[tex]k = \frac{1}{3}[/tex]
The rule of dilation about point P is then calculated as:
[tex](x,y) \to k(x_D - x_P, y_D - y_P)[/tex]
So, we have:
[tex](x,y) \to \frac 13 \times (13 - 1, 2- 11)[/tex]
Simplify
[tex](x,y) \to \frac 13 \times (12, -9)[/tex]
Expand
[tex](x,y) \to (\frac 13 \times 12, -\frac 13 \times9)[/tex]
[tex](x,y) \to (4, -3 )[/tex]
This means that, the image of the dilation is (4,-3)
See attachment for the image of the dilation
Read more about dilation at:
https://brainly.com/question/8532602
If $a$ and $b$ are integers, such that $a\not= 0$ and $b\not= 0$ and $a^2$ and $b^2$ have at most two digits, what is the greatest possible difference between the squares of $a$ and $b?$
Answers
Answer:
80
Step-by-step explanation:
t is important to note that a square of any non-zero integer is positive, and therefore there is no advantage in using negative integers instead of positive integers to attain the greatest difference of squares. So we will not consider negative integers.
The greatest value of a^2 - b^2 occurs when a^2 is at its largest and b^2 is at its smallest.
The larger a, the larger a^2:
8 ^ 2 = 64
9 ^ 2 = 81
10 ^ 2= 100
Since a^2 can have at most two digits, a=10 is too large, and so a=9 is the largest integral value of a we can use.
Now, b^2 is at its smallest when b is closest to zero on the number line (the further b gets from zero, the larger its square becomes):
2 ^ 2 = 4
1 ^ 2 =1
0 ^ 2 = 0
Remember to go back to the original problem sometimes, to make sure you are taking everything into account. It states b doesn't =0, and therefore the b=1 is the closest b can get to zero as an integer. So, the greatest difference between b^2 and a^2 is when b=1 and a=9, giving the result:
a^2-b^2 =9^2-1^2 =81-1= 80.
So, 80 is your answer.
Which system of inequalities has this graph as it’s solution
Answers
Answer:
Option (B)
Step-by-step explanation:
In the graph attached,
Two lines graphed have the equations as,
y = 2x - 3 [A line having y-intercept as (-3)]
[tex]y=\frac{1}{3}x+4[/tex] [Line having y-intercept as (4)]
Since both the lines have been represented by the dotted lines therefore, these lines will represent the inequalities [having the signs less than (<) or greater than (>)].
Now shaded region will decide the signs of the inequalities.
Since, shaded region of y = 2x - 3 is on the left side, inequality showing this region will be,
y > 2x - 3
Since, shaded region of [tex]y=\frac{1}{3}x+4[/tex] is above the line, inequality showing this region will be,
[tex]y>\frac{1}{3}x+4[/tex]
Therefore, Option (B) will be the answer.
Answer:
B
Step-by-step explanation:
Just is cuh
The functions f(x) and g(x) are shown on the graph.
f(x) = x2
What is g(x)?
A. g(x) = -x2 + 2
B. g(x) = -X2 - 2
C. g(x) = (-x)2 - 2
D. g(x) = (-x)2 + 2
Answers
B. [tex]-x^2-2[/tex].
Hope this helps.
Answer:
i think its g(x)=-x^2-2
Step-by-step explanation:
The triangles are congruent by the SSS congruence theorem. Triangles F G H and V W X are shown. Triangle F G H is rotated about point G and then is shifted to the right to form triangle V W X. Which rigid transformation(s) can map TriangleFGH onto TriangleVWX? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation
Answers
Answer:
C. rotation, then translation
Step-by-step explanation:
edge 2021
I think it's C "rotation, then translation"
not 100% sure so check other answers too
if R is inversely proportional to S and r=15 when S =12 what is the value of S when R =60
Answers
Answer:
s = 3Step-by-step explanation:
The variation above is written as
[tex]R = \frac{k}{S} [/tex]
Where k is the constant of variation
when R = 15
S = 12
k = R × S
k = 15 × 12
k = 180
So the formula for the variation is
[tex]R = \frac{180}{S} [/tex]
When R = 60
We have
[tex]60 = \frac{180}{S} [/tex]
Cross multiply
That's
60S = 180
Divide both sides by 60
S = 3
Hope this helps you
Can someone help me?
Answers
Answer:
sq. root(330)
Step-by-step explanation:
[tex] \sqrt{-55 \sqrt[3]{-216} } = \sqrt{-55(-6)} = \sqrt{330} [/tex]
[Cube root of -216 = -6]
The sketch shows a triangle and its
exterior angles. Find the measure of
angle IAC.
Show all your calculations. Justify your
answer.
MDHA = 128"
MZHCA = 46°
Answers
Answer:
∠ IAC = 98°
Step-by-step explanation:
The sum of the exterior angle = 360°
∠ HCB = 180° - 46° = 134° ( adjacent angles )
Thus
∠ IAC + 128° + 134° = 360°, that is
∠ IAC + 262° = 360° ( subtract 262° from both sides )
∠ IAC = 98°
Answer:
<IAC=°98
Step-by-step explanation:
<DHA + CHA = 180 SUPPLEMENTARY ANGLE
128 +CHA=180
<CHA=52
<CHA + <HAC+<ACH=180 b/c it is triangle
46 +52+HAC= 180
<HAC= 180-98
<HAC= 82
<HAC + <IAC= 180. Supplementary angle
82+<IAC=180
<IAC=180-82
<IAC=98
Find m
A. 82
B. 32
C. 98
D. 107
Answers
Answer: A. 82
Step-by-step explanation:
The measure of <BAD can be found by simply adding 25(<BAC)+57(<CAD) = 82.
[tex]\mathrm{BAD}=\mathrm{BAC}+\mathrm{CAD}=25^{\circ}+57^{\circ}=82^{\circ}[/tex].
Hope this helps.
Which is the correct algebraic expression after combining like terms? 6 + 8 x minus 7 minus x 7 x minus 1 7 x + 13 9 x minus 1 9 x + 13
Answers
Answer:
7x-1
Step-by-step explanation:
i did the test
Answer:
7x-1
Step-by-step explanation:
correct answer on edge
Is 210879 divisible by 3?
PLEASE HELPP
Answers
Answer:
Yes
Step-by-step explanation:
Well to figure out if 210879 is divisible by 3 we do,
210879 / 3
= 70 293.
Thus,
210879 is divisible by 3.
Hope this helps :)
Answer: Yes
Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.
Image is provided below.
The divisibility rules tell us that if the sum of the digits is divisible by 3,
then the number is also divisible by 3.
So since 27 is divisible by 3, 210,879 must also divisible by 3.
So our answer is yes, 210,879 is divisible by 3.
Making Purchasing decision.
Q1) A restaurant meal usually cost Nu 80. A special rate of Nu 60 is offered for lunch on Thursday only. Calculate the percent discount.
Answers
Answer:
25%
Step-by-step explanation:
Given that a restaurant meal usually cost Nu 80 but on Thursdays it cost Nu 80.
To determine the discount, we have to find the ratio between the difference between the usual cost and the cost on Thursday to the usual cost of meals. It is given by:
Percent discount = (Usual cost - Cost of meal on Thursday)/ Usual cost × 100%
Percent discount = (80 - 60) / 80 × 100% = 20 / 80 × 100%
Percent discount = 25%
3 3/8 divided by 9 equals
Answers
Answer:
3/8
Step-by-step explanation:
Hey there!
Well we need to turn 3 3/8 into an improper fraction.
3*8 = 24
24 + 3 = 27
27 ÷ 9 = 3
3/8
Hope this helps :)
The answer of the given equation is 0.375
Given that,
3 3 by 8 divided by 9.Based on the above information, the calculation is as follows:
[tex]= 3 \frac{3}{8} \div 9\\\\ = \frac{27}{8} \div 9\\\\ = 3.375 \div 9\\\\ = 0.375[/tex]
Learn more: https://brainly.com/question/12522729?referrer=searchResults
PLEASE HELP!!!
A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.
Image attached
Answers
Answer: C
explanation: a p e x
Explanation:
Start with the template they give, which is y = ax+b. From here, replace 'a' with -2.9 and b with 13.5 to get the answer y = -2.9x + 13.5
The r and r^2 values aren't used to form the regression line. Instead, they are ways to see how good a fit we have. Since r is fairly close to -1, this means we have a really strong negative correlation. All of the points are close or around the same straight line with a negative slope (that slope being -2.9).
What is the solution of the inequality shown a-1>11
Answers
Answer:
a > 12
Solutions can be anything over 12
Step-by-step explanation:
Well this one is pretty simple we just add 1 to both sides so the inequality turns into,
a > 12
Answer:
[tex]a>12[/tex]
Step-by-step explanation:
[tex]a-1>11[/tex]
Add [tex]1[/tex] on both sides.
The [tex]a[/tex] variable must be isolated on one side.
[tex]a-1+1>11+1[/tex]
[tex]a>12[/tex]
The roots of x^2 + 5x + 3 = 0 are p and q, and the roots of x^2 + bx + c = 0are p^2 and q^2. Find b + c.
Answers
Answer:
[tex]\large \boxed{\sf \ \ \ b=-19, \ \ c=9, \ \ \ b+c=-10 }[/tex]
Step-by-step explanation:
Hello,
we can write
[tex]x^2+5x+3=(x-p)(x-q)=x^2-(p+q)x+pq[/tex]
it means that p+q = -5 and pq=3
And then we are looking for b and c so that
[tex]x^2+bx+c=(x-p^2)(x-q^2)=x^2-(p^2+q^2)x+p^2q^2[/tex]
So
[tex]b=-(p^2+q^2)=-[(p+q)^2-2pq]=-[(-5)^2-2*3]=-(25-6)=-19\\\\c=p^2q^2=3^2=9[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
b + c = -10
Step-by-step explanation:
Notice that according to he quadratic formula, the solutions to a quadratic equation of the form:
[tex]x^2+bx+c=0[/tex]
are:
[tex]x=\frac{-b+/-\sqrt{b^2-4\,c} }{2}[/tex]
and such solutions verify the following conditions:
a) the product of the solutions is:
[tex](\frac{-b+\sqrt{b^2-4c} }{2} )\,(\frac{-b-\sqrt{b^2-4c} }{2} )=\frac{b^2-(b^2-4c)}{4} =\frac{4\,c}{4} =c[/tex]
b) the addition of the solutions is:
[tex](\frac{-b+\sqrt{b^2-4c} }{2} )+(\frac{-b-\sqrt{b^2-4c} }{2} )=\frac{-b-b}{2} =\frac{-2\,b}{2} =-b[/tex]
Therefore, applying these to the first equation, we get that the solutions p and q must verify:
[tex]p\,*\,q=3\,\,\,\,and\,\,\,\,p\,+\,q=-\,5[/tex]
On the other hand, we know that the solutions of the equation
[tex]x^2+bx+c=0[/tex]
are [tex]p^2\,\,\, and \,\,\,q^2[/tex]
Then considering what we found in step a), the product of these two solutions should equal the constant term"c":
[tex]p^2\,*\,q^2= c\\(p\,*\,q)\,(p\,*\,q)=c\\3\,*\,3 = c\\9=c[/tex]
so we know the value of "c" in the second quadratic expression: c = 9
Now, according to what we found in step b), the addition of the two solutions for the second quadratic expression should equal the opposite of the coefficient in the linear term. That is:
[tex]p^2+q^2=-b[/tex]
So, we need to find what the addition of these two squares is in order to find "b". We consider then what the expression [tex](p+q)^2[/tex] renders, since we know that [tex](p+q)=-5[/tex]:
[tex](p+q)^2=p^2+2\,p\,q+q^2\\(-5)^2=p^2+q^2+2\,(p\,*\,q)\\25=p^2+q^2+2\,(3)\\p^2+q^2=25-6\\p^2+q^2=19[/tex]
This means that
[tex]-b=19\\\\b=-19[/tex]
Now, knowing b and c, we can find what b+c is:
[tex]b+c=-19+9=-10[/tex]
Circle Y is shown. Chords R T and S U intersect at point Z. Arc S R is 100 degrees and arc T U is 72 degrees. In circle Y, what is m∠SZT?
Answers
Answer:
m∠SZT = 86°
Step-by-step explanation:
First we draw the diagram from the given information. Find attached the diagram.
when two chords intersect inside a circle, the measure of the angle formed is 1/2(the sum of the measure of the arcs intercepted each other).
From the above,
m∠SZT = 1/2 (Arc SR + arc TU)
Arc SR =100 degrees
Arc TU =72 degrees
m∠SZT = 1/2 (100° + 72°)
m∠SZT = 1/2 (172°)
m∠SZT = 86°
These are circles that include lines and angles. The measure of angle m∠SZT from the given diagram is 86°
Coordinate geometryThese are circles that include lines and angles. Using the theorem, the measure of the vertex is half that of its intercepted arc.
Based on the theorem;
m∠SZT = 1/2 (arcSR + arcTU)
Given
Arc SR =100 degrees
Arc TU =72 degrees
Substitute
m∠SZT = 1/2 (100° + 72°)
m∠SZT = 1/2 (172°)
m∠SZT = 86°
The measure of angle m∠SZT from the given diagram is 86°
Learn more on coordinate geometry here: https://brainly.com/question/18269861
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Determine the equation of a sine function that would have a range of {y|6<=y<=9} and a period of 60 degrees
Answers
Answer:
6 ^ 5743yy^€_*$%_$/_/^€^=÷/_#×
Write 0.00000414 in scientific notation.
Answers
Answer:
[tex]4.14*10^{-6}[/tex]
Step-by-step explanation:
Well scientific notation is (something*10^(other thing))
so we count have many zeroes there are, and there are 6, so we move the decimal point 6 times and get
[tex]4.14*10^{-6}[/tex]
Answer: It would take 6 "jumps" the left of 4.14 x 10^-6 to move the decimal back to where it actually is when not in scientific notation. 0.00000414
Step-by-step explanation:
hope this helps you :)
A cylinder has a volume of 1200 meters cubed. What is the volume of a cone with the same radius and height? A. 400 m3 B. 900 m3 C. 1600 m3 D. 3600 m3
Answers
Hey there!
The volume of a cone is always 1/3 of that of a cylinder with the same except dimensions. You multiply the base by the height and then divide by three!
This means that if the cylinder has a volume of 1200 meters cubed, you simply divide by three, giving you 400 meters cubed !
The answer is A. 400 m³.
Have a wonderful day! :D
Answer:900
Step-by-step explanation:A cylinder has more volume considering because of the space but a cone simply has less
Please answer it now in two minutes
Answers
Answer:
3.9
Step-by-step explanation:
Pythagorean theorem:
a^2 + b^2 = c^2
a^2 + 1^2 = 4^2
a^2 + 1 = 16
a^2 = 15
a = sqrt(15)
a = 3.9
Answer a = 3.9 yards
Answer:
[tex]\boxed{3.9}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
Apply Pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
[tex]a^2 + 1^2 = 4^2[/tex]
[tex]a^2 + 1 = 16[/tex]
[tex]a^2 = 15[/tex]
[tex]a=\sqrt{15}[/tex]
[tex]a \approx 3.872983[/tex]
in the equation 3y + 10= 5y-25, what is the value of y
Answers
Answer:
y = 35/2Step-by-step explanation:
3y + 10= 5y-25
Group like terms
Send the constants to the right side of the equation and those with variables to the left side
that's
3y - 5y = - 25 - 10
Simplify
- 2y = - 35
Divide both sides by - 2
y = 35/2Hope this helps you
Answer:
y=35/2 or 17.5
Step-by-step explanation:
1) 3y + 10= 5y-25
-3y -3y
2) 10 = 2y - 25
3) 10 = 2y - 25
+25 +25
35= 2y
4)Divide both sides by 2
y=35/2 or 17.5
You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot). If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?
Answers
Answer:
1/197136
Step-by-step explanation:
If there would be one pot and one plant the possibility would be 1 to take it.
It there were 2 plants and 1 pot it would be 1/2*1 = 1/2
If there were 2 plants and 2 pots it would be 1/2*2 = 1/4
With 444 plants and 444 pots it is 1/444*444 = 1/197136
There are 4×4 = 16 different combinations of plant and pot. Of those, 7 are either clay pot or cactus. Thus the probability you won't get a clay pot or a cactuis is 9/16.
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
Answers
What is 4/5 ( 4 over 5) times 3?
Answers
4/5 x 3.
convert the expression;
4/5 x 3/1
You will be multiplying these separately. (The numerators and denominators);
4x3=12
5x1=5
Which you should get
= 12/5.
Find the area of a 2-inch-wide decorative border around a rectangular canvas painting, where L is the length and W is the width of the canvas painting. (Formula for area of a rectangle: A equals L times W)
Answers
Answer:
4L +4W +16 square inches
Step-by-step explanation:
The area of the border is the equivalent of that of a rectangle with a width equal to the width of the border, and a length equal to the length of the midline of the border. That length is the perimeter of the rectangle that is L+2 units long and W+2 units wide.
border midline length = 2((L+2) +(W+2)) = 2L +2W +8
Then the border area is ...
border area = (border width)(border length) = (2)(2L +2W +8)
border area = 4L +4W +16 . . . square inches
_____
You can also figure this as the difference between the area of the rectangle with the border and the area of the rectangle inside the border:
border area = total area - canvas area
= (L+4)(W+4) -LW = LW +4L +4W +16 -LW
= 4L +4W +16 . . . . square inches
What is 37 ÷ 100 × 9 =
Answers
Answer: 3.33
Step-by-step explanation:
Multiplication and division should be solved left to right.
[tex]37/100*9\\\\Divide(100)\\\\0.37*9\\\\Multiply(9)\\\\3.33[/tex]
Hope it helps <3
Answer:
=37/100×9=.
=divide 37 by 100
=0.37 ×9
=3.33
The pie chart shows the sports played by 30 boys. How many boys play Rugby?
Answers
Answer:
10
Step-by-step explanation:
30 boys
1/2 play football
30/2 = 15
15 boys left
2/3 play rugby
15 x 2/3 = 10