Answer:
√61
Step-by-step explanation:
d=√(x2 - x1)^2 + (y2 - y1)^2
√(-9-(-15))^2 + (8-3)^2
√61
The distance between points P(-15, 3) and Q(-9, 8) is √61 units.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
The given points are,
P(-15, 3) and Q(-9, 8).
The distance between two points A(x₁, y₁) and B(x₂, y₂)
Distance
= √(x₂ - x₁)² + (y₂ - y₁)²
To find the distance between points PQ,
Use formula
PQ = √(-9 - (-15))²+(8 - 3)²
= √(-9 + 15) ²+(5)²
= √(6) ²+(5)²
= √36 + 25
= √61
The required distance between given points is √61 units.
To know more about Algebra on:
https://brainly.com/question/24875240
#SPJ2
using the general equation, f(x)=[x/1.50] how many songs can be purchased with a $35 gift card?
Answer:
23
Step-by-step explanation:
[tex] \because \: f(x) = \bigg [ \frac{x}{1.50} \bigg] \\ \\ \therefore \: f(35) = \bigg [ \frac{35}{1.50} \bigg] \\ \\ \therefore \: f(35) =23.33 \\ \\ \therefore \: f(35) \approx 23 \\ [/tex]
Hence, 23 songs can be purchased with a $35 gift card.
1. Write your answer using only
positive exponents.
(3ab^3c^-1)^3
Answer:
[tex](\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]
Step-by-step explanation:
[tex](3ab^{3} c^{-1} )^{3} =(\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]
What is true about the diagonals of
the shapes below? Select all that
apply.
Click the bottom right arrow to go
to the next set. Click the
checkmark (available on the last
set) to submit all your answers.
Parallelograms and Rhombi:
far
Diagonals bisect each other
Diagonals are perpendicular
Diagonals are not congruent
Diagonals bisect the angles
Diagonals are congruent
Answer: B
Step-by-step explanation: it could not be A bc A is 3.4 and 34.8 and its not correct
(SAT Prep) Find the value of x in each of the following exercises: WILL MARK BRANLIEST!!!
Answer:
Since the lines are parallel, the alternate interior angle to 35° is also 35°. Using the exterior angle theorem (exterior angle = sum of its remote interior angles) we can write:
x + 35 = 105
x = 70°
ASAP!!!!!!! The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 30 people. graph of y equals 2 times x plus 40 with x axis labeled Number of People and y axis labeled Amount of Money 0 ≤ y ≤ 30 40 ≤ x ≤ 100 0 ≤ x ≤ 30 40 ≤ y ≤ 100
Answer:
40 ≤ y ≤ 100
Step-by-step explanation:
Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30
Step-by-step explanation:
4×4 square is divided into 16 equal parts. One 1×1 square is placed in the center, as shown in the picture. Calculate a the number of squares. please help i need your assistance
Answer:
16 squares
Step-by-step explanation:
solve the equation [tex]\frac{x}{3} -\frac{3-2x}{6}=\frac{5}{2} x[/tex]
Answer:
x = - [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{3}[/tex] - [tex]\frac{3-2x}{6}[/tex] = [tex]\frac{5}{2}[/tex] x
Multiply through by 6 to clear the fractions
2x - (3 - 2x) = 15x ← distribute and simplify left side
2x - 3 + 2x = 15x
4x - 3 = 15x ( subtract 4x from both sides )
- 3 = 11x ( divide both sides by 11 )
- [tex]\frac{3}{11}[/tex] = x
Answer: x=-3/11
Step-by-step explanation:
Choose the correct answer. Mapping relation chart with two ovals. Left oval contains negative 2, 0, 1, 3, 4. Right oval contains 1, 3, 4, 6. Negative 2 points to 3. 0 points to 3. 1 points to 1. 3 points to 4. 4 points to 6. Which relation is represented by the arrow diagram? {(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)} {(3, –2), (3, 0), (1, 1), (4, 3), (6, 4)} {(–2, 1), (0, 3), (1, 3), (3, 4), (4, 6)} {(3, –2), (3, 0), (1, 1), (3, 4), (4, 6)} bad answers will be reported
Answer:
{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}
Step-by-step explanation:
The points are (-2, 3), (0, 3), (1, 1), (3, 4) and (4, 6) so the answer is {(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}
Answer:
{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}
Step-by-step explanation:
I suck at explain and dont want to say the wrong thing and misword but hope I helped :)
(80 pts) Find the probability of selecting two 10's when two cards are drawn (without replacement) from a standard deck of cards.
Answer:
3/663 or 1/221 chance
Step-by-step explanation:
A standard deck of cards contains 52 cards total, 4 suits total. Therefore there are 4 "10"s.
There is a 4/52 (simplified: 1/13) chance to draw a 10 on the first try.
To do it twice there is a 3/51 x 1/13 chance.
2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x+2)
B. -7(x-6)(x+1)
C. -1(7x - 9)(x + 2)
D. (-7x + 9)(x - 2)
SUBMIT
Answer:
C
Step-by-step explanation:
1. Factor a negative one out of the problem.
-1( 7x^2 +5x -18)
2. Factor.
{Factors of 7= 7 &1}
3. (7x ___) (x _____)
Factors of 18= 6,3,18,1,2,9
5 needs to be postive.
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees. Answer these questions about finding the missing angle measures. What is the measure of ∠Q? What is the measure of ∠T? What can be concluded about these triangles?
44.4 degrees
44.4 degrees
The triangles are similar.
Step-by-step explanation:
The measurements of missing angles are 44.4 each and the triangles are similar.
What are similar triangles?Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal ratios.
Given that, there are two triangles, ΔQSR and ΔTUV, where ∠Q and ∠U = 98° and ∠V and ∠R = 37.6°, we need to find the measurement of third angle in both and the relation between the triangles,
Using the angles sum property of a triangles,
∠Q + ∠S + ∠R = 180°
∠T + ∠U + ∠V = 180°
Therefore,
∠S = 180°-(37.6°+98°)
∠S = 44.4
Similarly,
∠T = 44.4
Since, all the corresponding angles are congruent therefore, the triangles are similar.
Hence the measurements of missing angles are 44.4 each and the triangles are similar.
Learn more about similar triangles, click;
https://brainly.com/question/14926756
#SPJ3
Simplify 27/25 A. 1/7 B. 3/9 C. 3/5 D. 9/15 I will mark you as brainliest
Answer:
27/25 simplified is 1 2/25 none of your answers work
Step-by-step explanation:
Answer:
27/25
Step-by-step explanation:
27/25
Simplify the fraction if possible.
= 27/25
The improper fraction cannot be simplified further.
PLEASE HELP simplify the expression: 2/3÷(-4)-[ 1/6-8/6] A. 1 B. 29/24. C. -24/17. D. 23/24
Answer:
A. 1
Step-by-step explanation:
2/3 ÷ (-4) - (1/6-8/6)
Solve for brackets.
2/3 ÷ (-4) - (-7/6)
2/3 ÷ (-4) + 7/6
-2/12 + 7/6
Make denominators equal.
-2/12 + 14/12
12/12
= 1
A ball is released at a height of 8 inches to roll inside a half - cylinder. It rolls to a height of 2 inches on the other side of the cylinder on roll 1. each time it rolls up a side of the cylinder, the ball reaches a point that is 1/4 as high as it had reached on the other side. This explicit formula models the height of the ball, in inches, the nth time it rolls up a side of the cylinder. A. 1 inch B. 1/8 inch C. 1/4 inch D. 1/2inch
Answer:
C) 1/8 inch
Step-by-step explanation:
im gon be posting a lot so helppp
Answer:
It's Rational. Hopes this helps you!
Step-by-step explanation:
Plz help with this question, I will mark brainliest. Answer needed fast.
Answer:
n = [tex]\frac{5}{3}[/tex] (C - 2.5)
Step-by-step explanation:
Given
C = [tex]\frac{3}{5}[/tex] n + 2.5 ( subtract 2.5 from both sides )
C - 2.5 = [tex]\frac{3}{5}[/tex] n
Multiply both sides by [tex]\frac{5}{3}[/tex] to clear the fraction
[tex]\frac{5}{3}[/tex] (C - 2.5) = n
Answer:
n = 5/3(C - 2.5)
Step-by-step explanation:
C = 3/5n + 2.5
Subtract 2.5 on both sides.
C - 2.5 = 3/5n
Multiply 5/3 on both sides.
5/3(C - 2.5) = n
f(x) = 1/2 x-5
What is f(6)?
8
-2
1
7
Answer:
f(6) =-2
Step-by-step explanation:
f(x) = 1/2 x-5
Let x = 6
f(6) = 1/2 *6-5
=3 -5
= -2
Answer:
[tex]-2[/tex]
Step-by-step explanation:
[tex]f(6)=\frac{1}{2}6-5 = -2[/tex]
What is the equation of the line that is parallel to the given
line and passes through the point (-4,-6 )?
-10
8.
6
(8,4)
x = -6
x= -4
2
2 4 6
8 10 x
y=-6
y=-4
-10 -8 6 4 -22
4
(46)
-6
8
10
Answer:
y=-6
Step-by-step explanation:
The line shown is a horizontal line via the y-axis and has the equation y=4. A parallel line to it is a line that doesn't pass it. It may even have the form y=a wherein a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.
please mark me brainliest!
y=-6 is the equation of the line that is parallel to the given line and passes through the point (-4,-6 )
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of the line passing through points ( -8, 4) and (8, 4)
m=4-4/8+8
=0
Slope is zero.
The slope of the parallel line will be also zero.
Now equation of line passing through (-4, -6) which is parallel.
Let us find y intercept
-6=-4(0)+b
-6=b
So the equation will be y=-6.
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ7
Question 19 (4 points)
Saved
2(x + 1) + 2(x - 2) = 3(x-3) + 4
Answer:
x=-3solution,
[tex]2(x + 1) + 2(x - 2) = 3(x - 3) + 4 \\ or \: 2x + 2 + 2x - 4 = 3x - 9 + 4 \\ or \: 2x + 2x + 2 - 4 = 3x - 5 \\ or \: 4x - 2 = 3x - 5 \\ or \: 4x - 3x = - 5 + 2 \\ x = - 3[/tex]
Hope this helps...
good luck on your assignment.
Answer:
x = - 3
Step-by-step explanation:
2(x + 1) + 2(x - 2) = 3(x-3) + 4
2x + 2 + 2x - 4 = 3x - 9 + 4
2x + 2x - 3x = - 9 + 4 - 2 + 4
4x - 3x = - 3
x = - 3
What is the value of x?
Answer:
x = 65
Step-by-step explanation:
interior angles = 180°
45° + (2x - 5)° = 180°
(2x - 5)° = 180° - 45°
(2x - 5)° = 135°
2x° = 135° - 5°
2x° = 130°
x° = 130° ÷ 2
x° = 65°
x = 65
Which of the following describes the location of the opposite of the number that R represents on this line? Answer Options At a distance of 4 tick marks above 0 At a distance of 4 tick marks below 0 At a distance of 8 tick marks below 0 At a distance of 8 tick marks above 0
Answer:
At a distance of 4 tick marks above
Step-by-step explanation:
Put this into slope form x/2 + 2y= 6
Answer:
y=-1/4x +3
Step-by-step explanation:
x/2 + 2y = 6
Subtract x/2 from both sides
2y=-x/2 +6
Simplify by dividing by 2
y=-1/4x +3
Multiply 1 and 3/4 × 4/5.One and three-fourths written as an improper fraction is .
The product written as an improper fraction in lowest terms is .
The answer written as a mixed number is .
Answer:
Multiplication:
1 x (3/4 x4/5)
= 3/5
Answer:
7/5 (improper fraction), or 1 2/5 (mixed number)
Step-by-step explanation:
One and three-fourths written as an improper fraction is 7/4.
Now we multiply 4/5 by 7/4. The '4' in each fraction cancels out the '4' in the other fraction, so that we are left with (1/5)(7/1), or 7/5 (improper fraction), or 1 2/5 (mixed number)
The formula to calculate the gravitational force between two objects is F, = GM1M2/r^2
where M1 and M2 are the masses of the objects, G is the gravitational constant and
r is the distance between the objects. Solve for M1 in terms of Fg, G, M2 and r.
Answer: M1=?
Solving for M1 in terms of Fg, G, M2 and r yields;
M1 = Fr²/GM2To solve for M1 in terms of F, G, M2 and r;
We are required to make M1 the subject of the formula as follows;
F = (G M1M2)/r²By cross product;
Fr² = G M1M2Afterwards; by dividing through by G M2; we have;
M1 = Fr²/GM2Read more:
https://brainly.com/question/15344051
Which expression is equivalent to
b^m/b^n
Answer:
b^ (m-n)
Step-by-step explanation:
When the bases are the same, when dividing, we subtract the exponents
b^m/b^n
b^ (m-n)
Solve: 16x2 − 80 = 0 Round the answer to the nearest hundredth. x = −0.45 and x = 0.45 x = −2.24 and x = 2.24 x = −8.94 and x = 8.94 x = −9.80 and x = 9.80
Answer:
x = −2.24 and x = 2.24
Step-by-step explanation:
16x^2 − 80 = 0
Add 80 to each side
16x^2 =80
Divide each side by 16
x^2 = 80/16
x^2 =5
Take the square root of each side
x = ± sqrt(5)
x = ±2.236067977
Answer:
x = 2.24 OR x = -2.24
Step-by-step explanation:
=> [tex]16x^2-80 = 0[/tex]
Adding 80 to both sides
=> [tex]16x^2 = 80[/tex]
Dividing both sides by 16
=> [tex]x^2 = 80/16\\x^2 = 5[/tex]
Taking sqrt on both sides
=> x = ±√5
=> x = ±2.24
So,
Either,
x = 2.24 OR x = -2.24
What is the slope of the line?
Answer: 3/4
Step-by-step explanation:
Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis
Marie is saving money for home repairs. To date, she has saved $1,438. She needs at least $1,828 for the repairs. She plans to set aside $39 per week to add to her current savings. If this situation is modeled by the inequality below, how many more weeks, x, does she need to continue saving in order to have enough money for the repairs? $1,438 + $39x > $1,828 A. x > 84 B. x > 23 C. x > 10 D. x > 29
Answer:
c
Step-by-step explanation:
1828-1438=390
390÷39=10
Translate the following into an algebraic expression: If it would take Mark m hours to clean the house alone and with his brother Sam they can clean the house together in t hours. How many hours would it have taken Sam if he was working alone?
Answer:
s = t - m
Step-by-step explanation:
Assuming s equals the amount of time it would take Sam, subtracting the amount of time it takes Mark from the time it takes them together would give you the time Sam would take since with Sam's help, the time would equal t hours. Then without Mark's help is how long it would take him.
I have a hat that contains six nickels and five pennies. I draw coins from the hat at random, without replacement. Find the probability that after drawing four coins, I have removed at most two pennies from the hat.
Answer:
53/66
Explanation:
We can use complementary counting to find the probability of picking the outcomes we don't want, and then subtracting that from the whole. The outcomes we don't want are PPPP and PPPN.
Probability of picking PPPP: 5/11 * 4/10 * 3/9 * 2/8 = 120/7920 = 1/66
Probability of picking PPPN: 5/11 * 4/10 * 3/9 * 6/8 = 360/7290 = 3/66
We can arrange PPPN in four different ways (PPPN, PPNP, PNPP, NPPP) so we need to multiply by 4, giving 12/66.
The total of these two probabilities is 13/66. Subtracting from 66/66, the answer is 53/66.
53/66 is the probability that after drawing four coins.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a hat contains six nickels and five pennies
Drawn coins from the hat at random, without replacement.
We need to find the probability that after drawing four coins in which removed at most two pennies from the hat.
We use complementary counting to find the probability of picking the outcomes.
Probability of picking PPPP:
5/11 × 4/10 × 3/9 × 2/8
= 120/7920
= 1/66
Probability of picking PPPN:
5/11 × 4/10 × 3/9 × 6/8
= 360/7290
= 3/66
Four different ways of arranging PPPN is (PPPN, PPNP, PNPP, NPPP)
3/66×4= 12/66.
The total of these two probabilities is 13/66.
1-13/66
53/66
Hence, 53/66 is the probability that after drawing four coins.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2