Answer:
y= -x -3
Step-by-step explanation:
A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).
Let's find the slope of the line segment.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope of line segment
[tex] = \frac{4 - ( - 8)}{5 - ( - 7)} [/tex]
[tex] = \frac{4 + 8}{5 + 7} [/tex]
[tex] = \frac{12}{12} [/tex]
= 1
The product of the slopes of 2 perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
m(1)= -1
m= -1
y= -x +c
To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.
Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.
[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]
Midpoint of line segment
[tex] = ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )[/tex]
[tex] = ( \frac{ - 2}{2} , \frac{ - 4}{2} )[/tex]
= (-1, -2)
y= -x +c
When x= -1, y= -2,
-2= -(-1) +c
-2= 1 +c
c= -2 -1
c= -3
Thus, the equation of the perpendicular bisector is y= -x -3.
59) Two times a number added to another number is 25. Three times the first number minus the other number is 20.
Find the two numbers.
[tex]\huge \bf༆ Answer ༄[/tex]
Let the first number be x and second one be y !
Here's the Expressions representing the above scenario ~
[tex] \sf2x + y = 25[/tex][tex] \sf3x - y = 20[/tex]If we add these two equations we will get ~
[tex] \sf2x + y + 3x - y = 25 + 20[/tex][tex] \sf5x = 45[/tex][tex] \sf x= 45 \div 5[/tex][tex] \sf x = 9[/tex]Now, plug the value of x in first equation ~
[tex] \sf2x + y = 25[/tex][tex] \sf(2 \times 9) + y = 25[/tex][tex] \sf18 + y = 25[/tex][tex] \sf y = 25 - 18[/tex][tex] \sf y = 7[/tex]Therefore, the first number is x = 9 and the second number is y = 7
Simplify the expression 16+(−5)−6/7j−2/7j+6
Help I will give brainliest
the inequality is 8 (w+18) ≤ 19
Answer: -15.625
Step-by-step explanation:
Let w represent the number:
8 (w + 18) ≤ 19
[tex]\frac{8\left(w+18\right)}{8}\le \frac{19}{8}[/tex]
[tex]w+18\le \frac{19}{8}[/tex]
[tex]w+18-18\le \frac{19}{8}-18[/tex]
[tex]w\le \:-\frac{125}{8}[/tex]
-125/8 or -15.625
Check:
[tex]8\left(-15.625+18\right)\le \:19[/tex]
[tex]8\cdot \:2.375 \leq 19[/tex]
[tex]19 \leq 19[/tex]
Therefore, the number is -15.625
Help help help math math help
Answer:
63°
Step-by-step explanation:
Angle 2 is congruent in angle that has 63°
Refer to the attached pic
Use distribution property to this expression
6( 5 —q) what is the answer plzzzzzz helpppppp meeeee
Step-by-step explanation:
All the steps are in the pictures. If you have any questions let me know and I'll explain in simple terms :)
The movement of the progress bar may be uneven because questions can be worth more or less (ir
Add: (– 15xz + 4xy) + (20xy - 9yz + 16xz)
O 24x2 y2 – 9yz + x² zº
0 16xyz
0 5xy – 5 yz + 16xz
024xy - 9yz + xz
Your Answer Is : - 31xz + 16xy - 9yz
Plz Help 100 points and brainlyest if correct
Use the chart to answer the questions.
please help me on this, thank you
45 - 4 =41 and x is 20.5 or 20 1/2
Question is in image
Which best explains if qudrillateral WXYZ can be a parallelogram?
Answer:
A
Step-by-step explanation:
If the figure is to be a parallelogram, opposite sides must be the same length. This requires ...
15 = x +8 ⇒ x = 7 . . . . long sides equal length
and ...
x +2 = 2x -5 . . . . . short sides equal length
7 = x . . . . . . . . . . add 5-x
The value x=7 will make opposite long sides have lengths 15 mm and opposite short sides have lengths 9 mm.
Figure WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
PLS HELPPPPP (It should be easy points for u) 50 POINTS
Answer:
7
6
3
1
1
because first they go down by three then one
Answer:
7
6
3
1
1
Step-by-step explanation:
NEED HELP PLS
Use point-slope form to write the equation of a line that passes through the point (-14, -17) with slope 1.
Answer:
point-slope form: y-y1=m(x-x1) -> m=slope, (x1, y1) = coordinates of a point
point = (-14,-17) -> x1=-14, y1=-17
slope = 1 -> m=1
y-(-17)=1*(x-(-14)
y+17=1(x+14)
you don't need the *1 but some teachers are picky about that
Answer:
y + 17 = 1 ⋅ ( x + 14 )
Step-by-step explanation:
i think... trust someone else because i'm not 100% sure..
Sabriana hiked along a trail that was 9.66 miles long she hated 4.2 miles every hour how many hours did it take Sabriana to finish hiking the trail
Answer:
3 hours
Step-by-step explanation:
10. If 0 = tan-'1, find angle 0. Angle 0 is an acute angle.
Answer:
45°
Step-by-step explanation:
θ = arctan(1) = 45°
__
Make sure your calculator is in degrees mode.
_____
Additional comment
The tan⁻¹( ) function is the inverse tangent function. It can be read as "arctangent of ..." or "the angle whose tangent is ...". In spreadsheets and some calculators, it comes in two flavors: ATAN(x) and ATAN2(x, y). The latter is useful for finding the angle associated with a vector whose components are known, and that can be in any of the four quadrants.
Calculators will give an angle in degrees or radians according to the mode that is set. Spreadsheets always give the angle in radians. The range of a calculator tan⁻¹( ) or ATAN( ) function is -π/2 to π/2 radians, or -90° to 90°.
A county has constructed a conical building to store sand. The cone has a height of 101 m and a diameter of 330 m. Find the volume of this building to the nearest hundredth. Use 3.14 for π.
Answer:
2878045.500 cubed metres
Step-by-step explanation:
volume = 1/3* pie* r*r*h
= 1/3 *3.14*165*165*101
=2878045.5 cubed metres
i hope it's helpful
Convert 27 inches to feet in dimensional analysis .
Answer:
2.25 feet.
Step-by-step explanation:
Formula: divide the value in inches by 12 because 1 foot equals 12 inches.
So, 27 inches = 27 /12 = 2.25 feet.
After the math contest, Basil noticed that there were four extra-large pizzas that were left untouched. In addition, another three slices of pizza were uneaten. If there were a total of 51 slices of pizza left, how many slices does an extra-large pizza have
s = number of slices for a large pizza
so if "s" is the number of slices in 1 large pizza, the total for 1 pizza will just be 1s, for two pizzas will be 2s and so on, so for 4 pizzas the total will just be 4s.
we also know there were an extra 3 slices, and we also know that whatever 4s is plus 3 will give us the total of 51 slices of pizza.
[tex]4s + 3 = 51\implies 4s = 48\implies s = \cfrac{48}{4}\implies \boxed{s = 12}[/tex]
which cost the most per ounce 60 ounces of peanutt butter for 5.40,28 ounces for 2.24 or 16 ounces for 1.1.76
Answer:
The 16 ounces at 1.76.
Step-by-step explanation:
Divide total cost by the quantity to get cost per unit.
Ounces Cost Cost/Ounce
60 5.40 0.09
28 2.24 0.08
16 1.76 0.11
What is the measure of angle A in the triangle below? 30° 45° 60° 90°
Solve each absolute value equation
1. [n - 3]= 5
Answer:
n=8
n=-2
Step-by-step explanation:
or,n-3=5
or,n=5+3
or,n=8
Now consider,
or,n-3=-5
or,n=3-5
or,n=-2
A cube has a volume of 1000cm^3. Work out the surface area Of the cube.
Answer:
600
Step-by-step explanation:
V = s×s×s = s³
V = 10×10×10 =1,000
Surface area
6a² = 6(10²) =600
Lola is in the process of forecasting the sales growth rate for an early-stage venture specilizing in the production of durable running shoes. Lola predicts a 0.15 probability of an 85% growth in sales, a 0.2 probability of a 20% growth in sales, a 0.45 probability of a 10% growth in sales, nd a 0.20 probability of a 20% decrease in sales. What is the expected sales growth rate of the venture?
Answer:
Step-by-step explanation:
Expected growth = 0.15*85 + 0.20 *20 + 0.45*10+0.20 * -20
= 17.25%.
Help with algebra class please
Answer:
t=6.8
Step-by-step explanation:
t=2.01[squareroot(L)]
L=11.56
t=2.01[squareroot(11.56)]
t=2.01(3.4)
t=6.834
(round to nearest tenth)
t=6.8
Erin spent half of her weekly allowance at the movies. To earn more money her parents let her wash the car for
$7. What is her weekly allowance if she ended with $12?
Write an equation to represent this situation
There are flags planted along a forest. There
are blue flags planted every 10 miles and there
are purple flags planted every 20 miles. If the
forest is 300 miles long, how many times will
there be a blue and purple flag in the same
spot?
Answer:
15 times there will be a blue and purple flag in the same spot
Step-by-step explanation:
300 miles / 10 miles = 30 blue flags in total
300 miles / 20 miles = 15 purple flags in total
There will be at least one blue flag for every purple flag. Since there is 15 purple flags in total, there will be 15 times this can occur.
I have attatched a demonstration of my thoughts to this post.
Write the equation for the axis of symmetry for the
follow absolute value graph:
Answer:
The equation for the axis of symmetry is x=3
Step-by-step explanation:
Because the vertex is (-2,3) then the axis of symmetry must pass that point.
2.3+0.02(x+20)-4.8=-9
Solve for x
Answer:
[tex]x=-345[/tex]
Step-by-step explanation:
[tex]2.3+0.02\left(x+20\right)-4.8=-9[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}100[/tex]
[tex]2.3\cdot \:100+0.02\left(x+20\right)\cdot \:100-4.8\cdot \:100=-9\cdot \:100[/tex]
[tex]230+2\left(x+20\right)-480=-900[/tex]
[tex]\mathrm{Subtract\:}230-480\mathrm{\:from\:both\:sides}[/tex]
[tex]230+2\left(x+20\right)-480-\left(230-480\right)=-900-\left(230-480\right)[/tex]
[tex]2\left(x+20\right)=-650[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2\left(x+20\right)}{2}=\frac{-650}{2}[/tex]
[tex]x+20=-325[/tex]
[tex]\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}[/tex]
[tex]x+20-20=-325-20[/tex]
[tex]\bold{x=-345}[/tex]
PLEASE HELP I WILL GIVE BRAINLESS!!!!) Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players’ scores are shown in the table.
Answer:
Brett, Riley, Ellema, Jennifer, Kamal, Felipe
Step-by-step explanation:
You have put their scores least to greatest, -7<-5<-1<0<1<2<3
HELP PLEASE!!!
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions.
The first graph shows a system of equations that has a unique solution because the two linear graphs have a single point of intersection.
The second graph shows a system of equations with no solutions. This is because the two graphs are parallel to each other, and have no point of intersection.
The third graph has two linear equations that coincide at every point. This makes this system to have an infinite number of solutions.
The fourth graph shows two linear functions having a single point of intersection. This particular system of equations has a unique solution.
Learn more about graphs of linear equations here: https://brainly.com/question/370278
answer this pleaseEeeeeeee
Answer:
no solution ?
Step-by-step explanation:
Answer:
Infinitely many solutions because the system of equations are the exact same.
can someone please help me solve these 4
Answer:
find the area and then multiply
Step-by-step explanation: