the sum of the second and fourth of four consecutive integers is 110
Answer:
The integers: 53, 54, 55, 56
Step-by-step explanation:
Consecutive integers increase by 1, so if x is the smallest one, then the numbers are:
x, x+1, x+2, x+3
the sum of the second and fourth: x+1 + x+3 = 2x+4
so: 2x + 4 = 110 ⇒ 2x = 106 ⇒ x = 53
So the integers we are looking for:
53, 54, 55, 56
write an equation of the line passing through the point (8,7) that is perpendicular to the line y+7=-7/17(x+8)
A.y= -7/17x+63/17
B.y=7/17x+7
C.y= -17/7x-87/7
D.y= -17/7x + 7
Plz help asap!!!
Answer:
y= 17x/7 - 87/7
The answer would be C is the slope is positive so I'm assuming it's a typo
Step-by-step explanation:
1.) When a slope is perpendicular that means that you do an opposite reciprocal so -7/17 turns into 17/7
2.) Use point slope form and solve for y
y-y1= m(x-x1)
y-7= 17/7 (x-8)
y-7= 17x/7 - 136/7
y= 17x/7 - 87/7
How many angles are supplementary to the angle of 100 degrees?
Answer:
I think its 2 good luck
Step-by-step explanation:
Answer:
100 degrees and 80 degrees are supplementary angles
Step-by-step explanation:
2 angles are supplementary if they add up to 180 degrees
Determine the y-intercept of the following parabola:
y = 2(x - 5)2 + 4
(0,____ )
Answer:
(0, 54)Step-by-step explanation:
(x, y) = (0, __) ⇒ x=0
y = 2(x - 5)² + 4
y = 2(0 - 5)² + 4
y = 2×25 + 4
y = 50 + 4
y = 54 ⇒ (0, 54)
What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form?
y = one-half x minus three-fourths
y = one-half x + three-fourths
y = three-fourths x minus one-half
y = three-fourths x + one-half
Answer:
it was B
Step-by-step explanation:
cause i smart
Answer:
B
Step-by-step explanation:
Just took the test
if a=1/8 and c=4, find b
Answer:
A=1\8
c=4
then b=2
i am only do this by getting fun and do for help other
The value of [b] if a = 1/8 and c = 4 will be 33/16.
What is the mean of two numbers?
The mean of two numbers [a] and [b] is -
[M] = (a + b)/2
Given is that a = 1/8 and c = 4.
We have the following values -
a = 1/8
c = 4
Therefore, we can write the value of [b] as -
b= (1/8 + 4)/2
b = (33/8)/2
b = 33/8 x 1/2
b = 33/16
Therefore, the value of [b] if a = 1/8 and c = 4 will be 33/16.
To solve more questions on mean, visit the link below-
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Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
8
3
6.
1
Choose 1 answer:
Subtract 5 from the input to get the output.
Multiply the input by O. Then add 5 to the result to get the output.
Divide the input by 2. Then subtract 1 from the result to get the output.
Answer: subtract 5 from the input to get the output.
Step-by-step explanation:
What is the mean? 20,22,25,28,29,30,33,34 ( Show work )
Please help and thanks.
Answer:
27.6
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Answer:
27.625
Step-by-step explanation:
you need to add all those numbers and then divide your answer by the amount of numbers there are
20+22+25+28+29+30+33+34 =221
221÷8
Write a system of linear equations that has (-4, 8) as the solution. Once you have made your system of equations, solve it algebraically to show that you do indeed get the solution (-4, 8).
Answer:
See below
Step-by-step explanation:
(-4, 8) has to be the solution.
1st equation: -4x+8y = 1
2nd equation: 8x - 4y = 1
These should work. Do the matrix-substitution combo method to see:
-4 8 1
.8 -4 -1
Reduce and and matrix-substitution combo:
1 0 -4
0 1 8
The reduced eckerd form of the matrix shows that the solutions are (-4, 8)
Therefore it -4x + 8u = 1 and 8x - 4y = 1 are the two equations for the system.
If f(x) and r1(x) are inverse functions of each other and f(x)=2x+5 , what is f^-1(8) ?
PLEASE HELP!!
Answer:
3/2
Step-by-step explanation:
Given y = 2x + 5, let's rewrite the equation in terms of x;
y = 2x + 5 => Bring 5 to the other side
2x = y - 5 => Divide either side by 2
x = (y - 5)/2
If we want to take the inverse, simply swap the variable's positions...
We have y = (x - 5)/2
Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1
f^-1(8) = (8 - 5)/2 = 3/2
Solution: 3/2
I really Need Help..
What is an equation of the line that passes through the point (5,-5) and is parallel to the line x+5y=20
Answer:
y = [tex]-\frac{1}{5}[/tex]x - 4
Step-by-step explanation:
Given parameters:
Coordinates = (5, -5)
Equation of the line, x + 5y = 20
Unknown:
Equation of the line parallel to this= ?
Solution:
To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.
The equation of any straight line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y- intercept
Now,
x + 5y = 20
Let us find the slope of this line;
5y = -x + 20
Divide through by 5;
y = [tex]-\frac{1}{5}[/tex]x + 4
The slope of the new line is the coefficient of x;
Slope = [tex]-\frac{1}{5}[/tex]
So, let us find the y-intercept of the new line;
-5 = [tex]-\frac{1}{5}[/tex] x 5 + c
-5 = -1 + c
c = -5 + 1 = -4
Now,
y = [tex]-\frac{1}{5}[/tex]x - 4
Answer: y = -(1/5)x - 4
Step-by-step explanation:
a3 + 27 what sign is the first binomial
Answer:
a3+27
a +BC
=a 30
30+a
=30ⁿ
Triangle A B C is shown with centroid G. Lines are drawn from each point of the triangle through the centroid and to the midpoint of the opposite side to form line segment A D, line segment B E, and line segment C F. The length of line segment D G is x minus 15 and the length of line segment G A is x + 7.
G is the centroid of triangle ABC.
What is the value of x?
What is the length of segment DG?
What is the length of segment AG?
What is the length of segment AD?
Answer:
37
22
44
66
Step-by-step explanation:
the value of x is 37
the length of segment DG is 22 units
The length of segment AG is 44 units
the length of segment AD is 66 units
took it on edg
hope this helps (:
The length from the vertex to the centroid is twice the length from the
centroid to the midpoint of the opposite side.
x is 37Segment [tex]\overline {DG}[/tex] is 22Segment [tex]\overline {GA}[/tex] is 44Segment [tex]\overline {AD}[/tex] is 66Reasons:
The known parameters are;
The centroid of ΔABC = Point G
Segments [tex]\overline {AD}[/tex], [tex]\overline {BE}[/tex], and [tex]\overline {CF}[/tex] are the medians of ΔABC
Length of line segments [tex]\overline {DG}[/tex] = x - 15
Length of line segments [tex]\overline {GA}[/tex] = x + 7
Required:
The value of x, and lengths of the segments of median [tex]\overline {AD}[/tex]
The median is divided at the centroid of the triangle to ratio 2:1
[tex]Length \ of \ line \ segment \ \overline{GA} = \dfrac{2}{3} \times \overline{AD}[/tex]
Therefore;
[tex]\overline{AD} = \mathbf{\dfrac{3}{2} \times \overline{GA}}[/tex]
[tex]Length \ of \ line \ segment \ \overline{DG} = \mathbf{\dfrac{1}{3} \times \overline{AD}}[/tex]
Therefore;
[tex]\overline{AD} = 3\times \overline{DG}[/tex]
Which gives;
[tex]\dfrac{3}{2} \times \overline{GA} = 3\times \overline{DG}[/tex]
Therefore;
[tex]\dfrac{3}{2} \times (x + 7) = 3\times (x - 15)[/tex]
3·x + 21 = 6·x - 90
21 + 90 = 6·x - 3·x
111 = 3·x
3·x = 111
[tex]x = \dfrac{111}{3} = 37[/tex]
x = 37
[tex]\overline {DG}[/tex] = x - 15
The length of line segment [tex]\overline {DG}[/tex] = 37 - 15 = 22
[tex]\overline {GA}[/tex] = x + 7
Length of line segment [tex]\overline {GA}[/tex] = 37 + 7 = 44
[tex]\overline {AD}[/tex] = [tex]\overline {DG}[/tex] + [tex]\overline {GA}[/tex]
Therefore;
Length of line segment [tex]\overline {AD}[/tex] = 22 + 44 = 66
Learn more here:
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Which one doesn't belong?
Graph
Where is the graph I need to see the graph for the answer
Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?
PLEASE HELP UNIT ENDS I WILL GIVE BRAINIEST
Answer:
1 = 6,0
2= 2,3
Step-by-step explanation:
Which of the following is the solution of 5x – 6 = 44?
Answer:
x=10
Step-by-step explanation:
5x-6=44
Add 6 to each side
5x-6+6 = 44+6
5x = 50
Divide by 5
5x/5 = 50/5
x=10
who ever answers all these questions will get the brianlist and it has to be right please :)
0-Yellow
0.25-Green
-2-Blue
/-Green
π-Purple
I wish that answers your question
Thank You
-3x + 4=6x-5 solve for x
Step-by-step explanation:
[tex] -3x + 4=6x-5\\\\6x+3x=4+5\\\\9x=9\\\\x=\sf{\dfrac{9}{9}}\\\\X=1[/tex]
what is the answer for x+7=2(x-15)
Answer:
x=37 Hope this helped <3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+7=2(x−15)
x+7=(2)(x)+(2)(−15)(Distribute)
x+7=2x+−30
x+7=2x−30
Step 2: Subtract 2x from both sides.
x+7−2x=2x−30−2x
−x+7=−30
Step 3: Subtract 7 from both sides.
−x+7−7=−30−7
−x=−37
Step 4: Divide both sides by -1
Answer:
[tex]\boxed {x = 37}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x + 7 = 2(x - 15)[/tex]
-Use Distributive Property:
[tex]x + 7 = 2(x - 15)[/tex]
[tex]x + 7 = 2x - 30[/tex]
-Take [tex]2x[/tex] and subtract it from [tex]x[/tex]:
[tex]x + 7 - 2x = 2x - 2x - 30[/tex]
[tex]-x + 7 = -30[/tex]
-Subtract [tex]7[/tex] to both sides:
[tex]-x + 7 - 7 = -30 - 7[/tex]
[tex]-x = -37[/tex]
-Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{-37}{-1}[/tex]
[tex]\boxed {x = 37}[/tex]
So, the value of [tex]x[/tex] is [tex]37[/tex].
Please help with the questions, and if you can explain them
I hope this helps
I also would appreciate brainless
Select the compound inequality that does not belong with the other three.
a>4 or a 8
a>7 or a −9
Answer:
a>4 or a 9
Step-by-step explanation:
-9 is less than 7 thats why its a>4 or 8 a 9
0.6x + 3 = 0.1x - 7 what value of x makes the question true
Answer:x=-20
Step-by-step explanation:
The function f(x) = 100x + 300 represents the cost for the physics club to attend science weekend at
the local theme park where x represents the number of students who attend. At least 4 students but
no more than 9 students will attend the fieldtrip due to transportation and chaperone restrictions.
9. Is this a discrete or continuous situation? Explain.
Answer:
Discrete
Step-by-step explanation:
Given the function:
f(x) = 100x + 300
Where ;
x = number of attendees
At least 4 students but no more than 9 students will attend the fieldtrip due to transportation and chaperone restrictions
Range of attendees :
4 ≤ x ≤ 9
Is this a discrete or continuous situation?
It is a discrete because the number of students who will attend the science weekend are finite and countable.
The number of attendees range from:
4, 5, 6, 7, 8 and 9.
The density of ice is:
· less than that of water
· equal than that of water
· greater than that of water
Paul reads 5 pages in 4 minutes. How many pages can he read in 7 minutes?
What is the value of the expression below when z=2
4z2-3z-4 please help
Rena’s grandfather opened a savings account as a college fund for her. His initial deposit and the yearly simple interest rate are shown.
A college graduate is shown walking up stairs. The bottom step represents three thousand five hundred dollars. The value of the top step is unknown. The distance up the stairs is labeled four years. The simple interest rate is three point two five percent.
How much will Rena have in this account after 4 years?
Enter the correct answer in the box.
Answer:
Total amount (A) = $3,955
Step-by-step explanation:
Given:
Initial deposit (P) = $3,500
Rate of interest (r) = 3.25%
Number of years (t) = 4
Find:
Total amount (A)
Computation:
Simple interest = (p)(r)(t)
Simple interest = (3,500)(3.25)(4)
Simple Interest = $455
Total amount (A) = Initial deposit (P) + Simple Interest
Total amount (A) = 3,500 + 455
Total amount (A) = $3,955
The following angle measures could form a triangle
(a)
111º, 28°, 31°
A
True
B
False
(b) Explain why the angle measures form a triangle or do not form a triangle.
Answer:
False
Step-by-step explanation:
All the angles in a triangle must add up to 180 degrees. Let's test this with the values given:
[tex]111+28+31[/tex]
[tex]= 170[/tex]
These angles only add up to 170°. Therefore, the answer is false, and these measures do not form a triangle.