Answer:
a=-8 b=2
Step-by-step explanation:
x^2+6x-16
x^2+(8-2)x-16=0
x^2+8x-2x-16=0
X(X+8)-2(X+8)=0
(X+8)(x-2)=0
Compare with (X+a)(X+b)
Where we get a=-8 b=2
7/2X – 19 = -13 + 2x
what is the solution equation?
Kim was walking down a rocky path. For 6 minutes, the elevation
dropped uniformly. Altogether it dropped 12 feet. What was the change in
elevation per minute for the 6 minutes?
Answer:
2 feet
Step-by-step explanation:
12 feet in 6 minutes. 12/6=2
Plz help guys answer this!!!!
Answer:
Between steps B and C
Step-by-step explanation:
12 × 5 is 60 not 72
and - × -9y = 9y
the answer should be [tex]\frac{-65}{11}[/tex]
if f(x) = 2(x – 3) + 4, findf (-8).
Answer:
f(-8) = -18
Step-by-step explanation:
given :
f(x) = 2(x – 3) + 4
to find f(-8), simply substitute x= -8 into the function:
f(x) = 2(x – 3) + 4
f(-8) = 2[(-8) – 3] + 4
= 2[-8 – 3] + 4
= 2[-11] + 4
= -22+4
= -18
please help it’s attached please
Answer:
The 17th term number of the arithmetic sequence will be: -97
i.e.
[tex]a_{17}=-97[/tex]Step-by-step explanation:
Given the arithmetic sequence
[tex]a_n=-6n+5[/tex]
Put [tex]n=17[/tex] in the arithemetic sequence to get the 17th term number
[tex]a_{17}=-6\left(17\right)+5[/tex]
[tex]a_{17}=-6\cdot \:17+5[/tex]
[tex]a_{17}=-102+5[/tex]
[tex]a_{17}=-97[/tex]
Therefore, the 17th term number of the arithmetic sequence will be: -97
i.e.
[tex]a_{17}=-97[/tex]
The left and right page numbers of an open book are two consecutive integers whose sum is 331 Find these page numbers.
Answer:
165 and 166
Step-by-step explanation:
You can divide 331 by 2 to get 165.5. You then round down for one answer, 165, and round up for the other, 166. This evens out the rounding, and to check your answer you can add 165 and 166, which is 331.
please help i give brainliest
Answer:
9 cm
Step-by-step explanation:
Graph f(x)=3/2x+2. plz help
Answer:
draw a line trough (2,3) and (0, 2)
Step-by-step explanation:
f(x)=(3/2)x+2
so 3/2 is your slope and 2 is your y coordinate of y-intercept
pick any point to start for example (0, 0) and go slope=rise/run=3/2 and you will end-up at (2,3)
now you have a point (2,3) and a second the y-intercept (0,2)
draw a line trough those points
Triangle ABC has vertices A( -3, 5) B ( 6, 9) and C ( -4, - 12) in the coordinate plane. The triangle is reflected over the x- axis and then rotated 90˚ about the origin to form triangle A''B''C''. What are the coordinates of triangle A''B''C''.
Answer:
The coordinates of triangle A"B"C" will become
A( 5,-3 ) B( 9,6 ) C( -12 ,-4 )
Step-by-step explanation:
Original vertices of triangle ABC are ;
A ( -3, 5 ) B( 6, 9 ) C ( -4, -12 )
after reflection over x-axis
A( -3,-5 ) B( 6, -9 ) C( -4,12 )
when the triangle is rotated
x coordinates becomes -y while y coordinates becomes x
The coordinates of triangle A"B"C" will become
A( 5,-3 ) B( 9,6 ) C( -12 ,-4 )
HELP ME!! please help me
Answer:
7xy + 2x^2t
Step by step explanation:
You just group the like terms and simplify (pay attention to the signs)
5xy + 2xy = 7xy
-1x^2t + 3x^2t = 2x^2t
So the answer is : 7xy + 2x^2t
ASAP PLEASE!!!
Find the supplementary angle of an angle measuring 183. If the supplementary angle does not exist, explain why. (1 point)
The supplementary angle is 177,
The given angle does not have a supplementary angle because supplementary angles add to the sum of 360'. The supplementary angle would need
to be 177 , and the supplement for it cannot be greater than 90° based on the definition of supplementary angles.
The supplementary angle is 107
The given angle does not have a supplementary angle because supplementary angles add to the sum of 180°. The supplementary angle would then
need to be -3, and negative angles are not allowed based on the definition of supplementary angles.
Answer:
"The given angle does not have a supplementary angle because supplementary angles add to the sum of 180°. The supplementary angle would then need to be -3, and negative angles are not allowed based on the definition of supplementary angles."
Step-by-step explanation:
A supplementary angle completes an angle less than 180 degrees by filling in what's left. Ex. 170 and 10 are supplementary angles because they add up to a straight line, 180.
Since 183 is greater than 180, no angle (a negative angle isn't an angle) can complete it.
ok I'm bout to get to the point my mother hates people that don't are not straight and I'm bi so how do I come out to my mom and my BSF
Answer:
you should life make a cake and put frosting words on it that say I'm bi and i'm proud!
You should just sit down with her and talk about it
Simplify (3m5)2. what's the awser
Answer:
9 m¹⁰
Step-by-step explanation:
(3m⁵)²
= (3)²(m⁵)²
= 9 (m⁽⁵⁾⁽²⁾)
= 9 m¹⁰
when multiplying numbers in scientific notation, what do you do to the leading numbers?
Answer:
Multiply them together.
Step-by-step explanation:
Multiply them together. If they multiply to a number greater than or equal to 10, then divide the product by 10 and add 1 to the exponent of the 10.
A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45°
90°
180°
270°
Answer:
C) 180
Step-by-step explanation:
I hope this helps
Good luck ;)
The difference between the intercepted arc is 180°
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.
A secant and a tangent meet at a 90° angle outside the circle. Hence:
90° = (1/2) * difference between the intercepted arc
Difference between the intercepted arc = 180°
The difference between the intercepted arc is 180°
Find out more on angle at: https://brainly.com/question/25770607
The length of a rectangular park is 20 feet longer than the width of the park. If the length of the park is 36 feet, what is the width of the park?
A.
4 feet
B.
16 feet
C.
42 feet
D.
56 feet
Answer: B. 16 feet
Step-by-step explanation:
We know that the length is 20 feet longer that the width. If the length of the park is 36 feet, the width is 20 feet less.
36 - 20 = 16 feet
So, the width of the park is 16 feet.
hope this helps!
Can someone please help
Answer:
5.6<x<∞
Step-by-step explanation:
x has to be no less than or equal to 2.8+2.8. So, x>5.6
x is less than∞
Please help:
Erin had 3 1/9 boxes of granola bras. She gave 1 3/4 of the boxes to her friends. How much did Erin have left for herself?
Answer:
1 13/36
Step-by-step explanation:
i just subtracted 1 3/4 from 3 1/9
I need help plsssssss
Answer:
C. y= 7x
Step-by-step explanation:
Which of the following isn't true about the graph of a proportional relationship? A. it is a straight line B. it passes through the origin C. it is "U" shape.
Answer:
Its B or it can be A because there both right
Can you please help with geometry??
Find the specific measure below.
Answer:
m∠Y = m∠Z = 34
Step-by-step explanation:
m∠Y + m∠Z = 68
68 ÷ 2 = 34
Check:
180 - 68 = 112
112 + 34 + 34 = 180
Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of money he plans on saving every month is $340. To model the situation, he created this equation, where x represents the number of months and y represents the total amount of savings: y = 250 + 340x. Determine the missing steps and justifications.
Answer:
8,750 = 250 + 340x
I believe he is missing the cost of the house
simplify (2x − 5)(3x² + 7x− 8)
Answer:
6x³-x²-51x+40
Step-by-step explanation:
(2x − 5)(3x² + 7x− 8)
vv
6x³ +14x² -16x -15x² -35x +40
add like terms:
6x³ -x² -51x +40
You bought your friend's bike and owe $60.00 to your friend to finish paying for it. You do chores and earn $4.00 per day (7 days per week). If you give your friend all your money how much money would you have after 3 weeks of working?
Answer:
$24.
Step-by-step explanation:
I multiplied 4 by 7 to get 28. Then I multiplied $28 by three weeks and got $84. Since $84 is more than I owe I subtracted $84 by $60 and got $24. I would give my friend $60 and keep $24. Hope this helps! Have a great day!
Please help me with this
Answer:
x = 19 degrees
y = 84 degrees
Step-by-step explanation:
recall that for an isosceles triangle (which is pictured), the base angles have the same value.
In our case, we can see that the base angles are 48 deg and (3x-9) deg
if they are equal, we can equate them like this:
48 = 3x-9 (add 9 to each side)
48 + 9 = 3x
57 = 3x (divide both sides by 3)
x = 57/3
x = 19 degrees (answer)
also recall that the sum of the interior angles of a triangle add up to 180 deg, hence
48 deg + 48 deg + y deg = 180 deg
2(48) + y = 180
96 + y = 180
y = 180 - 96
y = 84 deg
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+163x+148
Answer:
x=5.09 seconds (times at max)
Step-by-step explanation:
The time at which the height of the rocket is maximum is 5.09 seconds and the maximum height is 563.14 feet.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
A rocket is launched from a tower.
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
The quadratic equation is given below.
[tex]\rm y=-16x^2+163x+148[/tex]
Differentiate the equation with respect to x, then we have
[tex]\rm y' = \dfrac{dy}{dx}=\dfrac{d}{dx}(-16x^2+163x+148)\\\\y' =-32x + 163[/tex]
For y' = 0, then we have
32x = 163
x = 5.09
Then the maximum value of the rocket will be
[tex]\rm y=-16(5.09)^2+163(5.09)+148\\\\y = - 414.53 + 829.67 + 148\\\\y = 563.14\ ft[/tex]
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
#SPJ2
I need help on this one
(IF YOU HELP ME THANKSSS SO MUCH ❤)
Answer: B
Hope you do well!
Can anyone tell me what this graph is in slope intercept form?
Answer:
the standard form equation is 1/2x^2-x-3/2=0
the vertex form equation is 1/2(x-1)^2-2=0
Step-by-step explanation:
Unfortunately, this can't be written in slope intercept form but I can write it in standard form(ax^2+bx+c) or vertex form (a(x-h)+k)
The vertex is (1,-2)
I estimate a=1/2 because the graph was widened and that can only be done by a fraction.
So, 1/2(x-1)^2-2=0
To find it in standard form
foil (x-1)(x-1)= x^2-2x+1
Then multiply by 1/2(x^2-2x+1)= 1/2x^2-x+1/2-2
To add 1/2-2. You mulitply -2 by 2/2 which equals 1/2-4/2 which equals -3/2
So the standard form equation is 1/2x^2-x-3/2=0
Which notation best represents the phrase “at least 24”?
Answer:
less than or equal to 24
Step-by-step explanation:
this symbol ≤
Identify the equation in point-slope form for the perpendicular bisector of the segment with endpoints J(−24,−4) and K(−4,6).
Option A:
y + 6 = 2(x − 4)
Option B:
y − 6 = 2(x + 4)
Option C:
y + 1 = −2(x − 14)
Option D:
y − 1 = −2(x + 14)
Given:
Endpoints of a segment are J(−24,−4) and K(−4,6).
To find:
The equation in point-slope form for the perpendicular bisector of JK.
Solution:
Slope of JK is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{6-(-4)}{-4-(-24)}[/tex]
[tex]m=\dfrac{6+4}{-4+24}[/tex]
[tex]m=\dfrac{10}{20}[/tex]
[tex]m=\dfrac{1}{2}[/tex]
Product of slopes of two perpendicular lines is -1. So, product of perpendicular line of JK is -2.
Perpendicular bisector of JK passes through the midpoint of JK.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-24-4}{2},\dfrac{-4+6}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-28}{2},\dfrac{2}{2}\right)[/tex]
[tex]Midpoint=\left(-14,1\right)[/tex]
Point slope form:
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
Perpendicular bisector of JK passes through (-14,1) with slope -2. So, the point slope form of JK is
[tex]y-1=-2(x-(-14))[/tex]
[tex]y-1=-2(x+14)[/tex]
Therefore, the correct option is D.