Answer:
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
Step-by-step explanation:
Given points are:
(-5,3) and (3,7)
The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.
First of all we have to find the slope and mid-point of given line
Here
(x1,y1) = (-5,3)
(x2,y2) = (3,7)
The slope will be:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]
The mid-point will be:
[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]
Let m1 be the slope of the perpendicular bisector
Then using, "Product of slopes of perpendicular lines is -1"
[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]
We have to find the equation of a line with slope -2 and passing through (-1,5)
The slope-intercept form is given by:
[tex]y = mx+b\\y = -2x+b[/tex]
Putting the point (-1,5) in the equation
[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]
The final equation is:
[tex]y = -2x+3[/tex]
Hence,
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.
Answer:
60 on delta math
Answer:
60
Step-by-step explanation:
delta math answer
what's the answer please
THIS IS NOT THE ANSWER, IT'S AN EXAMPLE!!
(You didn't show the numbers that were given for me to answer this. BUT in the example, it shows you how to solve it. Just replace the numbers I put with the ones you were given. If you want me to solve it still, please comment the numbers on this for the answer)
Example; First, write the formula.
A=bh
Next, substitute in the values you have been given.
A=6×2
Then, do the multiplication.
A=12
The answer is 12 sq. cm.
An angle measures 3.8° more than the measure of its complementary angle. What is the measure of each angle?
Answer: 41.2 degrees
Step-by-step explanation:
Complementary angles are angles that add to 90 degrees, so if they were equal, they would be 45 and 45, but since one is 3.8 more, it is 45+3.8 = 48.8 and the other, to add to 90 degrees is 90-48.8 = 41.2
Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willie spent $116 on 12 daylilies and 4 pots of ivy. Anjali spent $60 on 6 daylilies and 3 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy
Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2
Step-by-step explanation:
Step 1
let day lilies be rep as d
and ivy be represented as i
So that The expression for what Willie spent on 12 day lilies and 4 pots of ivy = $116 be
12 d+ 4i = 116 ---- equation 1
and for Anjali spending $60 on 6 day lilies and 3 pots of ivy be
6d+ 3i = $60------ equation 2
Step 2 --- Solving
12 d+ 4i = 116 ---- equation 1
6d+ 3i = $60------ equation 2
Multiply equation 2 by (2) and subtracting equation 1 from it
12d+ 6i= 120
--12 d+ 4i = 116
2 i= 4
i = 4/2 = 2
TO find d, putting the value of i = 2 in equation 1 and solving
12d+ 4(2) = 116
12d= 116-8
12d= 108
d= 108/12= 9
Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2
PLEASE PLEASE PLEASE HELP I NEED THIS BY 8:00pm!
Billy and Tom are out to dinner. Their bill comes to a total of $100. They have a 15% off coupon but tax and tip must also be included. The tax is 6% and is applied before the 20% tip. If Billy and Tom want to split the bill, how much will they each have to pay?
1. How much is their bill after the coupon has been applied?
2. With the coupon applied, what is their new total (including the tax)?
3. With their new total, Billy and Tom can now determine the tip for their server. What is the final total, including the tip?
4. What will Billy and Tom each have to pay to split the bill evenly?
Please answer labeled with numbers! thankyou!
Answer:
1. $85
2. $90.10
3.$108.12
4.$54.06
Step-by-step explanation:
100-15=85 (15% of 100 is 15)
6 percent of 85 is 5.10. So 85 + 5.10=90.10
20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12
Now divide by 2 to get how much they each will pay 108.12/2 = 54.06
35 - 21 + 6m write a equivalent expression for this
Answer:
6m+14Step-by-step explanation:
[tex]35 - 21 + 6m[/tex]
Simplify : Subtract
[tex]35 - 21 = 14 \\ 14 + 6m \\ 6m + 14[/tex]
(5) Find the value of the variable. The diagram is not to scale.
Answer:
x = 19 degrees
Step-by-step explanation:
180 - 114 = 66
180 - 66 = 114
Other triangle angle is 114 degrees
114 + 47 = 161
180 - 161 = 19
x = 19 degrees
Which 3 cards on the bottom are the reasons?
Answer:
Attachment
Step-by-step explanation:
What is the answer???
Answer:
A. Translation, Translation
Step-by-step explanation:
The pre-image was translated 1 unit up then it was translated 4 unit to the right.
Florance made an apple pie, she used 7/8 of a tablespoon of cinnamon and 3/4 of a tablespoon of nutmeg
Answer:
1 5/8
Step-by-step explanation:
Lesson 4-1 Solving Systems of Equations by Graphing
Answer:
Where's the question?
Step-by-step explanation:
Answer:
we cant answer it theres no backup to the question
Step-by-step explanation:
Write an equation of the line that passes through the given points.
(2,6) (-4,-2)
Answer:
y = 8/6x + 10/3
Step-by-step explanation:
You find the slope (m) first which is
Change of y over change of x
(6) - (-2) over (2)- (-4)
8/6 = m
Then you plug it into the equation y = mx + b
y = (8/6)x + b
Now you pick any of the set of points to plug in for x and y to solve for b
(6) = (8/6)(2) + b
6 = 8/3 + b
b = 10/3
Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.
y = 8/6x + 10/3
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
The probability both of my choices are male is 2/15
Use the information to form an appropriate quadratic equation N square + an + b = 0, specifying the constants a and b.
Answer: There are 4 male goats.
Step-by-step explanation:
We know that n of the 10 goats are male.
The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)
The probability is;
p = n/10
Now the total number of goats is 9, and the number of male goats is n -1
then the probability of selecting a male goat again is:
q = (n-1)/9
The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is
P = p*q = (n/10)*((n-1)/9)
And we know that this probability is equal to 2/15
Then we have:
(n/10)*((n-1)/9) = 2/15
(n*(n-1))/90 = 2/15
n*(n-1) = 90*2/15 = 12
n^2 - n = 12
n^2 - n - 12 = 0
This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:
For an equation:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
For our case, the solutions will be:
[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]
The two solutions are:
n = (1 - 7)/2 = -3 (this solution does not make sense, we can not have a negative number of goats)
The other solution is:
n = (1 + 7)/2 = 4
This solution does make sense, this means that we have 4 male goats.
What is the equation of the line that passes through the point (-6, 6) and has an
undefined slope?
Answer:
x = -6
Step-by-step explanation:
undefined slope is always an x = line
so just do x = whatever x is
hope this helps <3
What expression is equivalent to -2x + 7
WHATS THE ANSWER PLEASE HURRY
Answer:
2.2 * 2.2 = 4.84
4.84 * 6 = 29.04
how do i solve this question?
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:
Cosine Ratio
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Consider the angle of θ=30°, then we can write:
[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]
Solving for x:
[tex]x=12\sqrt{3}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
Then:
[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]
[tex]x = 18[/tex]
Now apply the sine:
[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]
Solving for y:
[tex]y=12\sqrt{3}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
Then:
[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]
[tex]y = 6\sqrt{3}[/tex]
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
help im confused!! i need to find the x
A milk truck delivers 457 dozen gallons of milk to stores in 1 day. Write and solve an equation to find g, the number of gallons of milk the milk truck delivers in 1 day I don't get it help!
Answer:
5484 gallons
Step-by-step explanation:
Given that:
Delivery in 1 day = 457 dozen gallons
g = number of gallons delivered on that day
Recall :
1 dozen = 12
Therefore, the number of gallons delivered in 1 day :
457 gallons * 12 = 5484 gallons
Right=20 points and I'll answer one of urs
Answer:
40
Step-by-step explanation:
so (48/120)× 100%=40%
Translate the following into an algebraic expression: "five less than the product of 7 and
the square root of a number" can be written as:
05-713
o 5 - 70
O TX-15
073-5
Answer:
7√x - 5
Step-by-step explanation:
Let the number be x
The product of 7 and the square root of a number is expressed as;
7 * √x
= 7√x
five less than the product of 7 and the square root of a number will be expressed as;
7√x - 5
Hence the required expression is 7√x - 5
cups of water fill 4 identical water bottles. How many cups fill each bottle?
Answer:
.8 or 4/5ths cup
Step-by-step explanation:
divide number of bottles by cups
4 1/2 is 4.5
5 5/8 is 5.625
4.5/5.625 = .8 (or 4/5ths)
10 builders can build a house in 20 days. How many builders
will you need build the house in 10 days?
Answer:
20 builders
Step-by-step explanation:
Answer: 20 builders.
Step-by-step explanation: For 10 builders to build a house in 20 days, the ratio is 1:2. For builders to build a house in 10 days, the ratio is x:10. You then cross multiply 1:2 and x:10. Then x=20 so 20 builders.
Which of the following shapes are rectangles? Choose two answers!!!! Please helpppp !!!!!!!!!!!!!!
Answer:
A&D
Step-by-step explanation:
Answer:
A. and C.
Step-by-step explanation:
because 2, 2 sides are equal of four line boxes
Help due today will give brainlist
Answer:
4 fancy and 5 plain
Step-by-step explanation:
please help me plss
Which expression is equivalent to five ninths?
( A ) 5 ÷ 9
( B ) 9 ÷ 5
( C ) 5 − 9
( D ) 9 − 5
Answer:
A) 5÷9
Step-by-step explanation:
As, 5 is a whole number
And when the number ends with "ths" it is always the denominator
So here it is ninths so 9 will be in the denominator
Lines AB, CD, and LK intersect as shown in the diagram . Find M
the last one is the answer
The measurement of ∠ CSK = 110.2°
What is Parallel line?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that Lines AB, CD, and LK intersects at R and S respectively,
m∠LRB = (3x - 2)° and m∠RSC = (2x - 5)
m∠LRB = m∠CSK → (Alternate exterior angles)
m∠CSK + m∠RSC = 180° → (Linear pair angles)
Therefore, m∠LRB + m∠RSC = 180°
(3x - 2)° + (2x - 5) = 180°
5x - 7 = 180°
5x = 187°
x = 37.4°
So, m∠CSK = (3x - 2)°
(3x - 2)° = 3*37.4 - 2
m∠CSK = 110.2°
Hence, The measurement of ∠ CSK = 110.2°
For more references on Parallel lines, click;
https://brainly.com/question/16701300
#SPJ2
HELP PLS ill mark u brainliest
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
Janice paid $820 plus 7% sales tax for her airfare. How much did she pay in total for her airfare?
Answer:
877.40
Step-by-step explanation:
If purchased before the game, tickets to a high school baseball game cost $1.00. If purchased at the gate, the tickets cost $1.50. For a particular game, 500 tickets were sold and the total receipts were $587.50. How many tickets were purchased before the game and how many tickets were purchased at the gate?
Answer:
10
Step-by-step explanation:
Answer:
235
Step-by-step explanation: