Given parameters:
Coordinates = (7,-2) and (-4, 2)
The formula for the coordinate of the mid point is;
[tex]x_{m}, y_{m}[/tex] = ( [tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1} + y_{2} }{2}[/tex] )
where;
[tex]x_{m}, y_{m}[/tex] are the coordinates of the mid points
x₁ = 7 y₁ = -2
x₂ = -4 y₂ = 2
Input the parameters and solve;
[tex]x_{m}, y_{m} = \frac{7 + (-4)}{2} , \frac{-2 + 2}{2}[/tex]
[tex]x_{m}, y_{m}[/tex] = [tex]\frac{3}{2} , 0[/tex]
So the mid point is at [tex]\frac{3}{2} , 0[/tex]
Y=-2(x+3)^2+26
what is the standard form
Answer:
Y = 2x^2+12x+44 (standard form / quadratic form)
Step-by-step explanation:
2(x+3)^2+26
2(x^2+6x+9) + 26
2x^2+12x+18+26
2x^2+12x+44
8. Three groups of 10 kids. The average weight of a kid in each
group is 35 kilograms. One more kid joined each group.
i) The average weight of a kid in the first group is still 35
kilograms.
The average weight of a kid in the second group is now
36 kilograms.
iii) The average weight of a kid in the third group is now
34 kilograms.
Compute the weight of the new kid in each group.
25
Answer: 385
Step-by-step explanation:
Mean the three groups of 10 kids=35
Total weight of 3 groups (10x35)=350
Mean weight of 3 groups and one boy ( 35 + 350)=385
How many possible solutions are ther to a linear equation in one variable
Answer:
Step-by-step explanation:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.
Answer:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.
Step-by-step explanation:
Adult tickets for the movies are $11.50 each and child tickets are $8.75 each. How much would a family with 3 adults and 5 children pay for their tickets? (Multi-Step)
Answer:
$78.25
Step-by-step explanation:
Each adult = $11.50
Each child = $8.75
3 adults and 5 children
(11.50 x 3) + (8.75 x 5)
34.5 + 43.75 = $78.25
11.50 x 3 = 34.50
8.75 x 5 = 43.75
34.50 + 43.75 = 78.23
$78.23
At an average rate of 38 miles an hour, how far can you travel in 4 hours?
a.
156 mi
b.
195 mi
c.
190 mi
d.
152 mi
What is the domain and range of y= x⁴-1?
anyone help me quickly please!!!
What is the area of the shaded part in the figure shown here?Immersive Reader
(1 Point)
200 sq.cm
150 sq.cm
125 sq.cm
100 sq.cm
PLEASE HELP FAST!
Answer:
The area of the shaded part is 100 [tex]cm^2[/tex]
Step-by-step explanation:
Subtracting Areas:
We can find the shaded area by adding or subtracting areas.
We'll use the latter method.
The total shape is a rectangle of side lengths 15 cm and 10 cm. Thus its area is:
[tex]A_t=15\ cm\cdot 10\ cm=150\ cm^2[/tex]
The area of each non-shaded square is:
[tex]A_s=(5\ cm)^2=25\ cm^2[/tex]
The total non-shaded area is
[tex]2*A_s=50\ cm^2[/tex]
Thus, the shaded area is:[tex]A_{shaded}=A_t-2*A_s=150 - 50 = 100[/tex]
The area of the shaded part is 100 [tex]cm^2[/tex]
Help please, if you know how to do it. Posting separate questions so you get more points,l thanks
9514 1404 393
Answer:
y = x^2 +x +1; (-1/2, 3/4)y = 3x^2 -15x +12; (-2, 54), (5, 12)y = -1/2x^2 +2x +5; (0, 5)Step-by-step explanation:
1. The graph looks like the vertex is at x = -1/2. So we can start with the equation y = (x +1/2)^2 +k. At x=0, this becomes 1 = 1/4 +k, or k = 3/4. The leading coefficient of 1 is consistent with the other points shown, so the equation is ...
y = (x +1/2)^2 +3/4 . . . . vertex is (-1/2, 3/4)
y = x^2 +x +1
__
2. The zeros appear to be at x=1 and x=4, so the factored form of the equation is ...
y = a(x -1)(x -4)
At x = 0, this is ...
12 = a(-1)(-4)
3 = a
So, the equation is ...
y = 3x^2 -15x +12
The values at the two points of interest are ...
y = 3(-2-1)(-2-4) = 54 . . . . point (-2, 54)
y = 3(5 -1)(5 -4) = 12 . . . . point (5, 12)
__
3. Using the vertex shown, the vertex form of the equation is ...
y = a(x -2)^2 +7
Filling in the point (-2, -1), we can find the value of a:
-1 = a(-2-2)^2 +7
-8 = 16a
a = -8/16 = -1/2
So, the equation is ...
y = -1/2x^2 +2x +5
For x=0, the y-value is 5. The y-intercept is (0, 5).
Answer:
9514 1404 393
y = x^2 +x +1; (-1/2, 3/4)
y = 3x^2 -15x +12; (-2, 54), (5, 12)
y = -1/2x^2 +2x +5; (0, 5)
1. The graph looks like the vertex is at x = -1/2. So we can start with the equation y = (x +1/2)^2 +k. At x=0, this becomes 1 = 1/4 +k, or k = 3/4. The leading coefficient of 1 is consistent with the other points shown, so the equation is ...
y = (x +1/2)^2 +3/4 . . . . vertex is (-1/2, 3/4)
y = x^2 +x +1
simplify this expression 3 to the power of -3
27
-27
1/27
-1/27
NEED HELP 20 points
Solve for x: −4x − 4 = −4(x + 2)
0
−4
All real numbers
No solution
Answer:
no solution
Step-by-step explanation:
Due to inflation, prices have increased by 12% since 2012. If the current price of a car is $34,500, how much would it have cost in 2012? Round your answer to the nearest cent.
Answer:
that depends on the year. like round from 2020?
Step-by-step explanation:
The angle whose measure is StartFraction 3 pi Over 4 EndFraction terminates in quadrant II and its reference angle is for StartFraction pi Over 4 EndFraction. What are the reciprocal trigonometric function values for StartFraction 3 pi Over 4 EndFraction? Check all that apply.
Secant (StartFraction 3 pi Over 4 EndFraction) = negative one-half
Secant (StartFraction 3 pi Over 4 EndFraction) = negative StartRoot 2 EndRoot
Cosecant (StartFraction 3 pi Over 4 EndFraction) = negative StartRoot 2 EndRoot
Cotangent (StartFraction 3 pi Over 4 EndFraction) = negative 1
Cosecant (StartFraction 3 pi Over 4 EndFraction) = StartRoot 2 EndRoot
Answer:
Step-by-step explanation:
Answer:
B, D, and E
Step-by-step explanation:
3x2 − 6x − 10 + 9x + 5x2 − 8
8x^(2)+3x-18, simplified,
6m+5n when m =6 and n=4
Answer:
Step-by-step explanation:First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:
5m +5n+6m−4n
Next, group like terms:
5m+6m+5n−4n
Now, combine like terms:
(5+6)m+(5−4)n
11m+1n
11m+n
Both the circles in the figure below have a radius of 5 cm. Find the area of the rectangle?Immersive Reader
(1 Point)
50 sq.cm
50π sq.cm
100 sq.cm
200 sq.cm
PLEASE HELP ME PLS!
Answer:10
Step-by-step explanation:
I guessed
The area of the rectangle is 200 square cm
The radius of the circle is given as:
[tex]r = 5cm[/tex]
The width of the rectangle is made by 2 circles (i.e. 4 radii).
So, we have:
[tex]Width = 4r[/tex]
The length of the rectangle is made by 1 circle (i.e. 2 radii).
So, we have:
[tex]Length = 4r[/tex]
The area of the rectangle is then calculated as:
[tex]Area =Length * Width[/tex]
This gives
[tex]Area = 2r * 4r[/tex]
[tex]Area = 8r^2[/tex]
Substitute 5 for r
[tex]Area = 8 * 5^2[/tex]
[tex]Area = 200[/tex]
Hence, the area of the rectangle is 200 square cm
Read more about areas at:
https://brainly.com/question/14137384
Find the asymptotes of the rational function 2x+2 / x^2+1
Show work please. Thank you!
Step-by-step explanation:
Enter a problem...
Calculus Examples
Popular Problems Calculus Find the Asymptotes f(x)=(2x^2)/(x^2-1)
f
(
x
)
=
2
x
2
x
2
−
1
Find where the expression
2
x
2
x
2
−
1
is undefined.
x
=
−
1
,
x
=
1
The vertical asymptotes occur at areas of infinite discontinuity.
x
=
−
1
,
1
Consider the rational function
R
(
x
)
=
a
x
n
b
x
m
where
n
is the degree of the numerator and
m
is the degree of the denominator.
1. If
n
<
m
, then the x-axis,
y
=
0
, is the horizontal asymptote.
2. If
n
=
m
, then the horizontal asymptote is the line
y
=
a
b
.
3. If
n
>
m
, then there is no horizontal asymptote (there is an oblique asymptote).
Find
n
and
m
.
n
=
2
m
=
2
Since
n
=
m
, the horizontal asymptote is the line
y
=
a
b
where
a
=
2
and
b
=
1
.
y
=
2
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x
=
−
1
,
1
Horizontal Asymptotes:
y
=
2
No Oblique Asymptotes
Last week, Mrs. Grant purchased a 3-pound
package of strawberries for $6.84. This week
she paid $10.24 for a 4-pound package of
strawberries. What was the difference in the
unit cost per pound that Mrs. Grant paid this
week compared to last week?
Answer: 1.28
Step-by-step explanation:
$6.84 divided by 3 = 3.28
$10.24 divided by 4 = 4.56
3.28 - 4.56 = 1.28
Hope this helps!
(If you need me to explain more just comment)
Find the measure of the following angles.
1) M
2) M
3) m
4) m
5) M
George used the diagram below to help determine 30% of 60. Which expression could George have used?
30% of 60
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
6
6
6
6
6
6
6
6
6
6
(0.10)(6)
(0.10)(60)
(3)(6)
(3)(60)
Answer:
(3)(6)
Step-by-step explanation:
I did the quiz
George could have used the expression (0.30)(60) to determine 30% of 60.
How to determine . Which expression could George have usedGeorge could have used the expression (0.10)(6)(0.10)(60) to determine 30% of 60.
(0.10) represents 10% or 0.10 as a decimal. Since 30% is three times 10%, George can use three instances of (0.10) to represent 30%.
(6) represents the value 6, which is the number being multiplied by the percentage.
(0.10)(60) represents 10% of 60, which is 6.
Multiplying (0.10)(6)(0.10)(60) gives us the result of 6, which is 30% of 60.
Therefore, George could have used the expression (0.10)(6)(0.10)(60) to calculate 30% of 60.
Learn more about expression at https://brainly.com/question/1859113
#SPJ2
Tell whether −5.236¯¯¯¯¯ is terminating or repeating.
Answer:
Terminating
Step-by-step explanation:
Just did it!
Answer:
-5.236 is a terminating decimal. I hope this helps you!
What is 3/5 times 6/5
Answer:
if its not simplified then 18/5 but if it has to be simplified then its 3 3/5
The gross domestic product is?
The sum of twice a number and 1 is less than 5.
Answer:
2x + 5 ≤ x - 3
Step-by-step explanation:
Answer:
[tex]2x + 1 < 5[/tex]
What do the factors (x+2)(-8x+70)in the factored form represent?
Answer:
-2(x+2)(4x-35)
Step-by-step explanation:
Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown by calculating a t statistic and determining whether to reject the null hypothesis. Assume that your t statistic is a positive value and that you will reject the null hypothesis when t is very large. For each of the potential changes to the components of your study design or the results listed below, determine the change to the t statistic.
a. A switch from using a two-tailed test to a one-tailed test
b. An increase in the sample variance (s^2)
c. An increase In the significance level (such as using α= 0.05 instead of σ= 0.02)
d. A decrease in the sample Size (n)
Answer:
a. remain the same
b. decrease
c. remain the same
d. t decreases
the answers are in bold letters under each question. Thank you
Step-by-step explanation:
a. A switch from using a two-tailed test to a one-tailed test
A switch from 2 tailed test to one tailed test will have t statistic remain the same. This does not change the value of t statistic
b. An increase in the sample variance (s^2)
when sample variance s^2 is increased, we will have it that standard error has increased. therefore t statistic will decrease
c. An increase In the significance level (such as using α= 0.05 instead of σ= 0.02)
t statistics will remain the same. this is due to the fact that significance level is not a part of the t statistics formula.
d. A decrease in the sample Size (n)
when sample size is decreased, standard error will increase. therefore t statistic will decrease.
The use of student-test implies:
Normal distributionSample size below n < 30The solution is:
a) t(s) will be the same
b) t(s) will decrease
c) t(s) will be the same
d) t(s) will decrease
a) To calculate t(s), we use the equation:
t(s) = (μ - μ₀)/s/√n (1)
where:
μ is sample mean
μ₀ is the population mean
s is sample standard deviation
n sample size
As we can see, t(s) does not depend on the confidence level (α), therefore changing confidence level, would not affect t(s) value
b) Increasing s², will make t(s) decrease as from equation (1)
c) As explained in letter a), t(s) does not depend on α. Hence, changing α, would not affect the value of t(s)
d) If the sample size n decrease t(s) will decrease
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Place Value
Write down the value of the 9 in the number 79 813
Answer:
thousandths
hope this helpsss
please help 15 points
x2≥−4
Answer:
Solve for
x
by simplifying both sides of the inequality, then isolating the variable.
Step-by-step explanation:
Answer:
Does the name, Josh, Sound familiar? Maybe that'll ring a bell of why I'm saying this.
Step-by-step explanation:
Solve for x.
3/x+9=7/x+4
Answer:
x = 4/5
Step-by-step explanation:
Subtract 3/x+4, then multiply by x/5:
[tex]\dfrac{3}{x}+9=\dfrac{7}{x}+4\\\\5=\dfrac{4}{x}\\\\\boxed{x=\dfrac{4}{5}}[/tex]
_____
If you meant 3/(x+9) = 7/(x+4), you need to write it with parentheses around the denominator. (In that case, x=-12.75.)
If a circle has an area of 84π units then what is the measure of its
radius in exact units?
a. 2√21 units
b. √ 54 units
C 10.4 units
d. 108 units
Answer quickly please
a. 2√21 units
Step-by-step explanation:Hi there !
Area formula
A = π·r²
replace A84π = πr²
r² = 84π/π
r² = 84
r² = 2²×3×7
r = √2²×3×7
r = 2√3×7
r = 2√21
Good luck !
Write an equation of the line in slope-intercept form.
Answer:
The answer would be y=-1/3x+1.
Step-by-step explanation:
To find the slope, you must use the formula y2-y1/x2-x1. That would make it 1-2/0-(-3) which the slope is -1/3. Now, using the formula y-y1=m(x-x1) which would be y-2=-1/3(x-(-3) if you plug it in. Solving the equation, you would get y=-1/3x+1.