Answer:
x = 2
Step-by-step explanation:
It is given that,
U is the midpoint of TV.
TU = x² + 2x – 2
UV = -x+8
We need to find a positive value of x.
For midpoint,
TU = UV
Putting values,
x² + 2x – 2 = -x+8
or
x² + 2x – 2+ x - 8= 0
x² +3x-10 = 0
x² +5x - 2x -10 = 0
x(x+5) -2(x+5) = 0
(x-2) (x+5) = 0
x = +2 and x = -5
Hence, the positive value of x is 2.
prove that
(pSinB-rcosB)2 +(rsinB+pcosB)2=p2+r2
Expand the binomials, then simplify, then invoke the Pythagorean identity:
(p sin(B) - r cos(B))² + (r sin(B) + p cos(B))²
= (p² sin²(B) - 2pr sin(B) cos(B) + r ² cos²(B)) + (r ² sin²(B) + 2pr sin(B) cos(B) + p² cos²(B))
= p² (sin²(B) + cos²(B)) + r ² (cos²(B) + sin²(B))
= p² + r ²
5/9 x 6/15 x 15/4=
Plz help
Answer:
5/6
Step-by-step explanation:
A store is having a summer sale where all prices are 25−30% off. If you want to buy a pair of shoes that costs $50.00, what could be the sale price for this pair of shoes? An 8% sales tax must be applied to the sale price. What would be the final cost of the pair of shoes, including the sales tax?
Answer:
Before Tax: $37.50 and $32.50
After-Tax: $40.50 and $35.10
Step-by-step explanation:
In order to calculate the sales price we need to turn these percentages into the proper decimals, since they are discounts we would do this by dividing each percentage by 100 and then subtracting them from 1. Then we use those decimals and multiply them by the original cost of the shoes.
25% / 100 = 0.25
1 - 0.25 = 0.75
50.00 * 0.75 = $37.50
30% / 100 = 0.35
1 - 0.35 = 0.65
50.00 * 0.65 = $32.50
Now we see that the sales price for these shoes would range between $37.50 and $32.50. Now we need to add an 8% sales tax, we do this by dividing this percentage by 100 and adding 1 to it. Then we multiply this new value by the new sales prices.
8% / 100 = 0.08
0.08 + 1 = 1.08
$37.50 * 1.08 = $40.50
$32.50 * 1.08 = $35.10
A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused
Answer:
b) The average speed at which he travelled for the whole journey
Step-by-step explanation:
If he had travel 200- km/h and had broke down by which was at 10:30 a.m you would have to subtract 200 km/h to 10:30 your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640
Determine the y-intercept of the line that passes through the points (3, 7) and has a slope of 2?
help please i will give brainliest!!
Answer:
answer D looks good :)
Step-by-step explanation:
how many teaspoons are f vanilla will i use?
Answer:
9 teaspoons of vanilla
Step-by-step explanation:
12/4=3
3*3=9
Answer:
teaspoons of vanilla =9
Step-by-step explanation:
we can make it as a ratio
So we have (3 for teaspoons and 4 tablespoons)
3:4
Then x : 12
x=(12/4)*3=9
hope this helps
Find the value of x in the parallelogram.
Step-by-step explanation:
here is ur answer pls check it
A company ships its drink mix in a box in the shape of a rectangular prism. The base of the
prism is a rectangle with a length of 4 meters and a width of 1.5 meters. The height of the
container is 2.5 meters. What is the volume of the box in cubic meters?
Answer:
6 cubic meters
Step-by-step explanation:
Help me classify the triangles by its sides and measuring its angles :)
Answer:
Triangle 1 : isosceles triangle
Triangle 2 : Right Triangle
Step-by-step explanation:
time sensitive!! i really need help thanksss
Answer:
-x -y = 5
Step-by-step explanation:
the Answer will be 5
At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of DVD sold.
image
According to the circle graph, about how many action/adventure DVDs were sold last year?
A.
6912
B.
6284
C.
5656
D.
4399
Answer:
C
Step-by-step explanation:
12568*.45 = 5655.6
c is best answer here
For the given figure, write the conclusion for the statements ∠XYZ ≅ ∠ABC and ∠CBD ≅ ∠ABC.
Question 6 options:
∠CDB ≅ ∠ABD
∠ABC ≅ ∠CDB
∠XYZ ≅ ∠ABD
∠XYZ ≅ ∠CBD
Answer:
<XYZ = <CBD
Step-by-step explanation:
I saw there wasn't an answer so here ya go, learned the hard way...
Answer:
<XYZ = <CBD
Step-by-step explanation:
this is the right answer I can confirm
The lines in the graph of part A don't intersect at two whole numbers on the coordinate grid. Estimate the values of the solution to the nearest one-fourth of a unit. Then substitute the x- and y-values of the approximate solution into the two equations. How close do you get to the constant numbers in each equation?
Answer:
The solution lies at approximately (4.25,6.5).
Step-by-step explanation:
The estimate is pretty close for both equations. For the first equation, the estimate results in a value that is only 0.2125 units away from the constant. For the second equation, the estimate results in a value that is only 0.25 units away from the constant.
An infant playpen is in the shape of a circle. If the playpen has a diameter of 2 meters, what is the approximate area of the playpen?
Answer:
π meters
Step-by-step explanation:
The diameter is 2 meters. Then the radius is 1 meter. So:
A=πr²
=π(1)²
=π meters ...............
Answer:
3.14
Step-by-step explanation
the formula of a circle is A=πrxr
2 divided by 2 is 1
1 x 1 = 1
3.14 x 1 = 3.14
thats is!
Expand & simplify
(9x - y) (9x + y)
Answer:
[tex]81x^{2}- y^{2}[/tex] this is the answer
Step-by-step explanation:
um can somone help me please
Answer:
8 is 1
Step-by-step explanation: Multiply
The two-way table below displays information about passengers on a commercial flight.
Passenger Data
First Class
Coach
Checked Bags
10
81
Did Not Check Bags
14
57
What percentage of coach passengers did not check bags? Round to the nearest tenth.
35.2%
41.3%
70.4%
80.3%
The percentage of coach passengers who did not check their bags will be 43.82 %.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.
We have to find the percentage of coach passengers who did not check their bags.
It is found by dividing the total number of passenger bags not checked by the total number of passengers.
=71 / 162 × 100
=43.82 %
Thus, the percentage of coach passengers who did not check their bags will be 43.82 %.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ6
Simplify the expression. 14 + (-3) -3/7j - 6/7j + 6
Answer:
[tex]t^{14}[/tex] + 3 + − [tex]\frac{3j}{7}[/tex] + 7 + -[tex]\frac{6j}{7}[/tex]
Step-by-step explanation:
A candy store uses a 50% markup on cost. Find out the owners cost of a candy bar that sells for $1.50.
Answer:
The owners' cost of the candy bar is $1
Step-by-step explanation:
Assume that the owners' cost of the candy bar is 100%
∵ The owners' cost of the candy bar is 100%
∵ The candy store uses a 50% markup on cost
∵ The selling cost = owners' cost + markup
∴ The selling cost = 100% + 50% = 150%
∵ The candy bar sells for $1.50
→ That means 1.50 is 150% of the owners' cost
∴ 1.50 = 150% × owners' cost
→ Change 150% to decimal by divide it by 100
∵ 150% = 150 ÷ 100 = 1.50
∴ 1.50 = 1.50 × owners' cost
→ Divide both sides by 1.50
∴ 1 = owners' cost
∴ The owners' costs = $1
∴ The owners' cost of the candy bar is $1
What postulate or theorem can be used to prove that these two triangles are congruent?
PLEASE HELP I REALLY NEED IT!!!
I will give brainliest.
Use the picture
Answer:
AAS postulate can be used to prove that these two triangles are congruent
Step-by-step explanation:
Let us revise the cases of congruence
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd ΔAAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd ΔHL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right ΔIn the given figure
∵ There is a pair of vertically opposite angles
∵ The vertically opposite angles are congruent ⇒ (1)
∵ There are two angles have the same mark
∴ These marked angles are congruent ⇒ (2)
∵ There are two sides have the same mark
∴ These two marked sides are congruent ⇒ (3)
→ From (1), (2), and (3)
∴ The two triangles have 2 angles and 1 side congruent
→ By using case 4 above
∴ The two triangles are congruent by the AAS postulate of congruency.
AAS postulate can be used to prove that these two triangles are congruent
Samantha purchased dinner at a restaurant and spent $38 on food and beverages. Her sales tax was 7%. How much will Samantha pay for sales tax in dollars and cents?
Given:
Samantha purchased dinner at a restaurant and spent $38 on food and beverages.
Rate of sales tax = 7%
To find:
How much will Samantha pay for sales tax in dollars and cents?
Solution:
Amount spent on food and beverages = $38
Rate of sales tax = 7%
Sales tax = 7% of $38
[tex]\text{Sales tax}=\dfrac{7}{100}\times 38[/tex]
[tex]\text{Sales tax}=\dfrac{266}{100}[/tex]
[tex]\text{Sales tax}=2.66[/tex]
Therefore, the sales tax is $2.66.
Evaluate the following equation, when x=20:
x/5 + x – 10
what is the solution of the system of equations 2x-5y=11 and -2x+3y=-9
Answer:
Step-by-step explanation:
In order for us to be able to get our (x,y) value, we need to show our work step-by-step.
Solving for Y:
-2x + 3y = -9
+ (2x - 5y = 11)
_____________________
-2y = 2
-2 -2
In order for us to be able to find our y value, we need to divide -2 both sides.
y = -1
Solving for X:
2x-5(-1) = 11
2x + 5 = 11
- 5 -5
_____________________
2x = 6
2 2
In order for us to find our x value, we need to divide 2 both sides.
x = 3
Our equation set or (x,y) value will be equal to:
(3,-1)
1
1
Consider the polynomial function:
p(x) = 3x3 + 10x2 + ax - 6
where a is an unknown real number.
If
(x + 3)
is a factor of this polynomial what is the value of a? Show all the steps below.
Step-by-step explanation:
By Factor Theorem, p(-3) = 0.
Therefore 3(-3)³ + 10(-3)² + (-3)a - 6 = 0 and a = 1.
There are two scarecrows in Mr. Martland's garden. The first scarecrow is 4.69 feet tall. The other scarecrow is 8.1 feet tall. What is the difference between the two scarecrows' heights?
Answer:
The difference between the two scarecrows' heights is 3.41 feet.
Step-by-step explanation:
To find the difference between the two scarecrows' heights, we have to subtract the height of the shorter one from the height of the taller one.
Hence, the difference between their heights would be (8.1 - 4.69) feet, which equals to 3.41 feet.
Hope this helped!
Answer:
3.41 FT
Step-by-step explanation:
Just subtract 4.69 from 8.1.
tricky the clown
Find the GCF of 74 and 154.
Answer: 2
Step-by-step explanation:
2
74: 2 37
154: 2711
GCF:2
during the 20 year study, a law was passed that banned the use of pesticides known to be harmful to the fruit bat. predict the year the law was passed
Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14
Answer:
x=1
Step-by-step explanation:
-3x=-3
Quadrilateral RSTU is a parallelogram. What other information would allow you to prove that RSTU is a rectangle? options 1/Opposite angles are congruent. 2/Opposite sides are congruent. 3/The diagonals bisect the angles. 4/The diagonals are congruent.
Answer:
Opposite angles are congruent
Opposite sides are congruent
Step-by-step explanation: