Please help this doesnt really make sense. If you want to see the paper just press that pic right up there
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Help.................
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7) points F(-8,4) H(-4,-4) and G(6,-2)
step 1--------> find the slope of a line FG
m=(y2-y1)/(x2-x1)---> (-2-4)/(6+8)=-6/14=-3/7
step 2
the altitude of triangle FGH is perpendicular with the line FG
therefore
m1*m2=-1 (If two straight lines are perpendicular they have their slopes reversed and changed sign)
m1=slope line FG
m2=slope altitude
m2=-1/(-3/7)=7/3
step 3
find the equation of the line that passes through the point H with slope m2
H(-4,-4) m2=7/3
y=mx+b---------- > -4=(7/3)*(-4)+b
b=(28/3)-4=(28-12)/3=16/3
y=(7/3)x+16/3--------> y=(7x+16)/3----------> 3y=7x+16
the answer is the option D (3y=7x+16)
8) eraser has the shape of a rectangular prism
Volume V=l*w*h
if l=3l and w=3w
then
V2=(3l)*(3w)*(h)=9(l*w*h)--------> V2=9V (the volume will be 9 times larger)
the answer is the option C the volume will be 9 times larger
9) The median of a trapezoid is the segment that joins the midpoints of the non-parallel sides
the non parallel sides are AD and BC
midpoint side AD---------------- > M (-4,0.5)
A(-7,2) D(-1,-1)
xm=(-7-1)/2=-4
ym=(-1+2)/2=0.5
midpoint side BC---------------- > N (3,4)
B(3,7) C(3,1)
xm=(3+3)/2=3
ym=(7+1)/2=4
the length of median MN is
M (-4,0.5) N (3,4)
d=√(3+4)²+(4-.5)²=√(49+12.25)=7.826--------> 7.83 units
the answer is the option B 7.83 units
10) hight of the kite=4+50*sin(38)=34.78 ft----->34.8 ft
the answer is the option B 34.8 ft
Find the value of t in the equation t + 5 + 3t = 1. A. 1.5 B. 6 C. 3 D. –1
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Answer:
D. -1
Step-by-step explanation:
All the variable terms are on the left, so subtract the constant on the left (5) from the equation and collect terms.
... 4t = -4 . . . . . . . variable term on one side; constant term on the other
Divide by the coefficient of t.
... t = -1
fill in the blanks on the pattern 98,97,95,92,88 ? ?
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Notice how...
The jump from 98 to 97 is a decrease of 1
The jump from 97 to 95 is a decrease of 2
The jump from 95 to 92 is a decrease of 3
The jump from 92 to 88 is a decrease of 4
The pattern of decreases so far is: 1, 2, 3, 4
So the next decrease is 5
88-5 = 83
And the decrease after that is 6
83-6 = 77
The last two numbers of the given sequence are respectively gotten to be; 83 and 77
How to find the sequence of numbers?
From the sequence, we see that;
From 98 to 97, there is a decrease of 1
From 97 to 95, there is a decrease of 2
From 95 to 92, there is a decrease of 3
From 92 to 88, there is a decrease of 4
The sequence pattern of decrease is seen to be: 1, 2, 3, 4
Thus, by inference we can say that the next decrease is 5. Thus,
Next number in sequence = 88 - 5 = 83
The number after that will be; 83 - 6 = 77
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Events X and Y are independent. The probability of X occurring is 1/3 . The probability of Y occurring is 1/2 . What is P(X and Y)?
a. 1/6
b. 1/3
c.2/3
d.5/6
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So
[tex]\mathbb P(X\cap Y)=\dfrac13\times\dfrac12=\dfrac16[/tex]
Answer: a. [tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Given : Events X and Y are independent.
The probability of X occurring is [tex]\dfrac{1}{3}[/tex].
The probability of Y occurring is [tex]\dfrac{1}{2}[/tex].
Since both events are independent, then we have
[tex]\text{P(X and Y)}=\text{P(X)}\times \text{P(Y)}\\\\\Rightarrow\ \text{P(X and Y)}=\dfrac{1}{2}\times\dfrac{1}{3}=\dfrac{1}{6}[/tex]
Hence, [tex]\text{P(X and Y)}=\dfrac{1}{6}[/tex]
Thus , (a.) is the correct option.
What is the function whose graph is the same as that of f(x) = -3x + 1 but shifted to the right 2 units and up 3 units?
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In this case:
2 R (right is positive), and 3 up (up is also positive)
f'(x) = -3(x - 2) + 1 + 3
Simplify:
f'(x) = -3x + 6 + 1 + 3
f'(x) = -3x + 10
Find the rule, solve for n
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note, that the difference between 8 and 10 is 2, between 9 and 12 is 3, between 11 and 16 is 5. It is possible when f(x) is linear function, 2x-6, therefore f(14)=2*14-6=22
Answer: 22.
Spencer is 51 years younger than Holly seven years ago Holly's age was four times Spencer's age how old is Spencer now
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Answer:
24
Step-by-step explanation:
The given age relationships can be used to reason about their ages.
__
When Holly was 4 times Spencer's age, the difference in their ages was 4-1=3 times Spencer's age. That is, Spencer was 51/3 = 17 years old, and Holly was 68.
That was 7 years ago, so Spencer is now 17+7 = 24 years old.
Which graph shows the complex number i-1
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"i" is 1 unit in the +y direction. "-1" is 1 unit in the -x direction, placing the point in the 2nd quadrant.
A campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 207 like rock, 172 like country, and 126 like jazz. moreover, 33 like rock and country, 27 like rock and jazz, 32 like country and jazz, and 13 like all three types of music. what is the probability that a randomly selected student likes at least two of the three types of music?
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The probability that a randomly chosen student like at least two of the three styles of music will be 0.21.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
A school radio station polled 500 students to find out what kind of music they appreciate. According to the study, 207 people prefer rock, 172 prefer country, and 126 choose jazz. Furthermore, 33 like rock and country, 27 prefer rock and jazz, 32 prefer country and jazz, and 13 prefer all three forms of music.
The number of favorable events is given as,
Favorable events = 33 + 27 + 32 + 17
Favorable events = 105
Then the probability is given as,
P = 105 / 500
P = 0.21
P = 21%
The probability that a randomly chosen student like at least two of the three styles of music will be 0.21.
More about the probability link is given below.
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A right rectangular Pyramid Sliced parallel to the base and shown what is the area of the resulting 2 dimensional cross-section
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Answer:
25 cm hope whoever gets to see this has a great day :D
If 60 - y <20, then y could be?
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Simplify
[tex]4(2 + 3i) -2 (6 - 8i)[/tex]
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4(2 + 3i) - 2(6 - 8i); apply the distributive property.
8 + 12i - 12 - 16i; combine like-terms.
-4 - 4i is your final expression.
I hope this helps!
write one way you can read the time 10:20
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"twenty minutes past ten"
-Ten-Twenty
-40 till
-20 after
This circle is centered at the origin, and the length of its radius is 10. what is the circle's equation?
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The equation of the circle that you are looking for is x^2 + y^2 = 100.
You can find this by using the base formula for a circle:
(x - x1)^2 + (y - y1)^2 = r^2
In which x1 is the x-coordinate of the origin, y1 is the y-coordinate of the origin, and r is the radius. So we put in the values we know and simplify.
(x -0)^2 + (y - 0)^2 = 10^2
x^2 + y^2 = 100
The equation of a circle centered at the origin such that the length of its radius is 10 units will be x² + y² = 100.
What is a circle?
Circle is a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).
Given is a circle is centered at the origin, and the length of its radius is 10 units.
The equation of the circle whose center is at origin is given by -
x² + y² = r²
We have radius [r] = 10 units
Therefore, we can write the equation of the circle as -
x² + y² = 10 x 10
x² + y² = 100
Therefore, the equation of a circle centered at the origin such that the length of its radius is 10 units will be x² + y² = 100.
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According to the rule of 72, if Arielle invests $100, $200, and $2000 into three separate accounts with the same interest rate, which amount will double fastest?
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If the accounts are all deposited on the same day with the same interest rate and same compounding period, they all double at the same time, whether using the rule of 72 or the actual time.
Answer:
All of them will double at the same time.
Step-by-step explanation:
The rule of 72 wa created to have an estimate of how long will an account that pays interests will take to double its value, in this case, as they all have the same interest rate, and the rule of 72 depends only on the interests that the account pays, there will be no difference between the doubling time of the accounts since eventhough they all have different amounts of money, having the same interest rate, will make them grow at the same rate.
Owen made a down payment of $1,600 on a car that was 20% of the total price what was the total price of the car
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We can set up an equation. Since 20% is said as twenty percent, we can conclude that it says "per-cent", which means "per hundred", like century is a hundred years. That way, we can say that 20% is also written as a decimal of twenty hundredths, because it's per hundred. Thus, we're saying that his down payment, 1,600, is (this is keywording for equals) 20% of (keyword for multiplication) the total price (x). That gives us:
1,600 = .20x
Divide both sides by .20
x = 8,000
Therefore, the cost of the car was 8,000 dollars.
Hope this helps!
which is the equation of the line that has a slope of 4 and passes through point (1,6)?
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m = 4
(x₁,y₁) = (1,6)
To determine the equation, use this following formula
y - y₁ = m(x - x₁)
Input the numbers
y - y₁ = m(x - x₁)
y - 6 = 4(x - 1)
y - 6 = 4x - 4
y = 4x - 4 + 6
y = 4x + 2
This is the line equation
The numerator of a fraction (which is in its simplest form) is 5 less than the denominator. If the numerator is multiplied by 2, and the denominator is increased by 16, then the fraction becomes smaller by 1/3 of it. Find the original fraction.
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2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3
Let's see if it checks out.
n = 3
d = 8
2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.
Final answer:
The original fraction, based on the provided conditions, is found to be 3/8 by setting up an equation relative to the changes described and solving for the unknown numerator and denominator.
Explanation:
The question involves solving for the numerator and denominator of a fraction based on provided conditions. Let's denote the denominator as x and the numerator as x - 5, since the numerator is 5 less than the denominator. According to the given conditions, when the numerator is multiplied by 2 and the denominator is increased by 16, the fraction becomes smaller by 1/3 of its original value.
Original fraction: [tex]\(\frac{x - 5}{x}\)[/tex]. After the modifications: [tex]\(\frac{2(x - 5)}{x + 16}\)[/tex]. The condition that the fraction becomes smaller by 1/3 of its original value leads to the equation: [tex]\(\frac{x - 5}{x} - \frac{1}{3} \cdot \frac{x - 5}{x} = \frac{2(x - 5)}{x + 16}\)[/tex].
Simplifying this equation, we first express the reduced original fraction as [tex]\(\frac{2(x - 5)}{3x}\)[/tex]. Then, setting it equal to the modified fraction, we get[tex]\(\frac{2(x - 5)}{3x} = \frac{2(x - 5)}{x + 16}\)[/tex]. Canceling out [tex]\(2(x - 5)\)[/tex] from both sides and solving for x, we find that x = 8. Therefore, the original denominator is 8, and the numerator is 3, making the original fraction 3/8.
Which is the graph of f(x) = 0.5(4)x?
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Answer:
The first graph, so A is the answer
Step-by-step explanation:
Which of the following best describes the expression 4(y + 6)?
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4x6=24
4y+24 would be the answer please make me brainleast
The sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle. Always Sometimes Never
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hope it helps
IF YOU ARE UNSURE PLEASE DO NOT ANSWER!!! What is the volume of the prism below?
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0.5x7x14=196
hope its right;)
what is the length of DE?
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B)if both variables arestandardized,what would the correlation coefficient between the standardized variablesbe?(typean integer or a decimal. round to two decimal places asneeded.)c)if median family income had been measured in thousands of dollars instead ofdollars,how would the correlationchange?
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b) The correlation coefficient would remain unchanged (whatever its decimal value may be)
c) The correlation coefficient does not change.
When both variables are standardized, the correlation coefficient remains the same. Scaling the variable by a constant factor doesn't change the relationship or correlation strength.
Explanation:When both variables are standardized, the correlation coefficient between the standardized variables will always be the same as the correlation coefficient between the original variables. The standardization process does not change the relationship between the variables, but rather scales them to have a mean of 0 and a standard deviation of 1. Therefore, the correlation coefficient remains unchanged.
If median family income had been measured in thousands of dollars instead of dollars, the correlation would not change. Scaling the variable by a constant factor, such as thousands, would only change the units of measurement, but not the relationship between the variables or the strength of the correlation.
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Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points?
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Given the points are A(3, 2) and B(6, 4).
If it is asking about the slope of the line AB, then we can use the slope formula as given by :-
[tex] Slope, \;m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
where (x₁, y₁) = A(3, 2) and (x₂, y₂) = B(6, 4)
[tex] m = \frac{4-2}{6-3} =\frac{2}{3} [/tex]
Hence, m = 2/3 would be slope of the line AB.
If it is asking about the y-intercept of the line AB, then we can use slope-intercept form as given by :-
y = mx + b
where m is the slope and b is the y-intercept.
we can plug the value of m = 2/3 and point A(3, 2) into the equation and solve for b.
[tex] 2=(\frac{2}{3} )(3) +b \\\\
2 = 2 + b \\\\
b = 0 [/tex]
Hence, b = 0 would be y-intercept of the line AB.
If it is asking for the equation of the line AB, then we can use slope-intercept form and put values of m = 2/3 and b = 0.
y = mx + b
[tex] y=\frac{2}{3} x+0 \\\\
y=\frac{2}{3} x \;\;
or\;\; 3y=2x [/tex]
Hence, [tex] y=\frac{2}{3} x \;\; or\;\; 3y=2x [/tex] would be equation of the line AB.
Which of the binomials below is a factor of this trinomial?
3x2 + 18x + 24
A. x + 4
B. x - 4
C. x - 3
D. x + 3
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Selection A is appropriate.
Answer:
A.X+4
Step-by-step explanation:
3x2 + 18x + 24
A. x + 4
B. x - 4
C. x - 3
D. x + 3
Apex Answers
15 POINTS,ANSWER QUICKLY Think about all of the ways in which a line and a parabola can intersect. Select all of the number of ways in which a line and a parabola can intersect.
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Answer:
3 ways
Explanation:
We know that a parabola has a second degree equation), while a line has a first degree equation.
To get the points of intersection, we will need to solve both simultaneously.
Solving them, we can reach a maximum of two solutions, however, other scenarios are also possible.
Possible scenarios:
1- no intersection occurs as shown in the first attachment
2- one intersection occurs as shown in the second attachment
3- two intersections occur as shown in the third attachment
Based on the above, there are three ways where the line and parabola can intersect
Hope this helps :)
Answer:
0,1,2
Step-by-step explanation:
If the edge length of a cube is 11 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? (2 points)
11 × 11 × 11
311
11
113
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Since 11 * 11 * 11 is standard form, and the other two answers simply aren't valid, 11^3 is the answer.
Hope this helps!
V cube=lenght^3
The interior angles of a triangle have measures (2x−5)° , (4x−1)° , and 30°. What is the value of x? Enter your answer in the box.
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the sum of the internal angles of a triangle is 180 degrees
so
(2x-5)+(4x-1)+30=180
6x+24=180
6x=156
x=26°
the answer is
x=26°
A rectangle is 2/5 inches long and 1/3 inches wide what is the area of the rectangle
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So 2/5 times 1/3.
2 x 1 = 2
5 x 3 =15
2/5 x 1/3 = 2/15.
Your answer is 2/15
~Deceptiøn