Answer:
y = 2x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table
m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (3, 1 )
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 2x - 5 ← equation of linear function
Please answer this!!
Answer: Choice C. 110ft
Step-by-step explanation:
Near a 30,60,90 triangle, multiply by [tex]\sqrt{3}[/tex] to approximate the distance from point B to the tree.
Answer:
82
Step-by-step explanation:
I want to say 82 but i am not positive
If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she will win first prize
Answer: [tex]\dfrac{11}{12}[/tex]
Step-by-step explanation:
Given
The odds against winning in a chess tournament are 1 to 11.
Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.
[tex]\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}[/tex]
Probability of non-occurrence i.e. she wins the first prize is
[tex]\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}[/tex]
CAN YALL HELP ME PLSSS NOW I NEED IT PLS IM BEGGING ITS FOR PYTHAGOREAN THEOREM
Answer:
The answer is 97!
Step-by-step explanation:
The formula for Pythagorean Theorem is a^2+b^2=c^2. (65)^2 + (72)^2 is 9409, which has a square root of 97. Hope this helped! :)
Which of the following expressions does not have a greatest common monomial factor?
Answer:
Step-by-step explanation:
17x²y+8y³-4x²
it has no greatest common monomial factor.
Answer:
17x²y+8y³-4x²
Step-by-step explanation:
Question 3 of 10
Is ASAM-ADEL? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer:
B. SAS
[tex] \frac{sm}{dl} = \frac{27}{9} = 3 \\ \frac{am}{el} = \frac{15}{5} = 3 \\ angle \: m= angle \: l[/tex]
Brainliest please~
By SAS similarity, ΔASM is similar to ΔDLE. Thus, option C is correct.
What is SAS?The SAS theorem is also known as the side-angle-side theorem, also known as a statement in Euclidean geometry that states two triangles are congruent if their corresponding sides are both the same length and their included angles are both of the same measures.
According to the given figure,
SM=27
DL=9
MA=15
LE=5,
∠M=∠L=31°
It is required to determine the similarity postulate that applies. Therefore,
From the ΔASM and ΔDLE, we have
[tex]\frac{SM}{DL}=\frac{27}{9} \\=3\\\frac{ML}{LE}=\frac{15}{5}\\ =3\\ Hence, \frac{SM}{DL}= \frac{ML}{LE}[/tex]
∠M=∠L=31°
Hence, by SAS similarity, ΔASM is similar to ΔDLE.
Therefore, it can be concluded that option C is correct.
Learn more about the SAS theorem here:
https://brainly.com/question/31243316
#SPJ7
Help ASAP
order -3, 5, 16, and -10 from least to greatest. Then order the same numbers from closest to zero to fastest from zero. Describe how your lists are similar. Would this be true if the numbers were -3, 5, -16, and -10?
Answer:
List from least to greatest:-16,-10,-3,5
List from closest to zero to the very far:-3,5,-10,16
Step-by-step explanation:
In order to know if the answer is accurate,draw a number line of directed numbers...the very far negative numbers,are said to be the least than the numbers almost close to zero...
Suppose that the least common multiple of the first $25$ positive integers is equal to $26A7114B4C0$. Find $100 \times A + 10 \times B + C$.
Start by removing 1 and the primes from the set {1, 2, 3, …, 25}. The LCM among these numbers will be their product.
{1, 2, 3, 5, 7, 11, 13, 17, 19, 23} ==> product = 223,092,870
Factorize the remaining numbers in the set:
{4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25} ==>
{2², 2×3, 2³, 3², 2×5, 2²×3, 2×7, 3×5, 2⁴, 2×3², 2²×5, 3×7, 2×11, 2³×3, 5²}
From each number above, remove any factor already accounted for in the product of primes:
{2, 1, 2², 3, 1, 2, 1, 1, 2³, 3, 2, 1, 1, 2², 5}
The LCM among these factors is 2³×3×5 = 120.
Then the LCM of the numbers in {1, 2, 3, …, 25} is
223,092,870 × 120 = 26,771,144,400
so that A = 7, B = 4, and C = 0. Then
100A + 10B + C = 740
A 10-foot tall tree casts a 4-foot shadow. How tall is the building next to the tree if the building’s shadow is 38 feet long?
Step-by-step explanation:
It Jun glt tm my tb my tu meri of ft me rh my
is 9y+3=0 a nonlinear ?
Answer:
Its not nonlinear
Step-by-step explanation:
Answer:
no, it is a linear function as y has a degree of 1
A square has area x cm^2, and perimeter of x cm . What is the value of x?
Let the perimeter be 100cm
Then value of x = 100/4
x = 25cm
Answered by Gauthmath must click thanks and mark brainliest
find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.}
p = 6/11.
So we have a bag that contains 6 red marbles and 6 green marbles.
Then the total number of marbles that are in that bag is:
6 + 6 = 12
There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.
Now we draw two marbles, we want to find the probability that one is red and the other is green.
The first marble that we draw does not matter, as we just want the second marble to be of the other color.
So, suppose we draw a green one in the first attempt.
Then in the second draw, we need to get a red one.
The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)
Then the probability is:
p = 6/11.
Notice that would be the exact same case if the first marble was red.
Then we can conclude that the probability of getting two marbles of different colors is:
p = 6/11.
simplify 4x^2-3xy+2xy+9x^2
Answer:
13x^2 - xy
Step-by-step explanation:
4x^2-3xy+2xy+9x^2
=13x^2-xy
Glven: 3x < 9.
Choose the solution set.
Answer:
x<3
Step-by-step explanation:
We divide equation by 3. So we get x<3. You can think of it with logic, too.
Answer:
x<3
Step-by-step explanation:
3x< 9
Divide each side by 3
3x/3 <9/3
x < 3
There is an open circle at 3 and a line going to the left
5. What are the solutions of the equations x2 - 4x = -5
a. 2 + 2i
b. 2 - i
c. 2 + i.
d. 2 - 2 i
Answer:
b and c
Step-by-step explanation:
Given
x² - 4x = - 5
Solve by using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 2)x + 4 = - 5 + 4
(x - 2)² = - 1 ( take the square root of both sides )
x - 2 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 2 to both sides )
x = 2 ± i
Then solutions are
x = 2 - i → b
x = 2 + i → c
Give an example of a trinomial with a GCF of 6a.
9514 1404 393
Answer:
18a +42ax +24az
Step-by-step explanation:
6a(3 +7x +4z) = 18a +42ax +24az
__
Additional comment
In order for 6a to be the GCF, the terms inside parentheses cannot have any common factors.
y = 4x – 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(–2, 2)
(2, –2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),
y = 4x – 10 2 = 4x – 10
Add both sides by 10 12=4x
Divide both sides by 4 x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
Can someone explain
Answer:
You need to use sohcahtoa to find your answer.
first you gotta identify what sides of the triangle you have.
You're missing the hypotenuse, and you have the value of the adjacent.
since you have the adjacent and need the hypotenuse, you're going to use cosine to find x
cos(65) = 16/x
x = 37.859
Answer:
x = 37.85
this is a standard "trig" question
it requires two pieces of insight.
First that a triangle has 180° interior angles.
from that you can determine that the third angle is 25° because
90 + 65 + β = 180
the red symbol lets you know that it is 90°
the second think that will help is SOHCAHTOA
that is if you have a "right triangle" (one with a 90° angle)
in this problem (in your mind rotate the triangle so the 65° is at the bottom left and the two long sides are pointing up
in this case you have the 16 on the bottom (adjacent to the angle) and
the x is on the hypotenuse...
you have the A& H that is COS
thus you have cos(65) = [tex]\frac{16}{x}[/tex]
x = 37.85
Step-by-step explanation:
The Jones family was one of the first to come to the U.S. They had 9 children. Assuming that the
probability of a child being a girl is .5, find the probability that the Jones family had:
at least 7 girls?
at most 8 girls?
Answer:
At least 7 girls: 0.5^7 OR 0.0078125
At least 8 girls: 0.5^8 OR 0.00390625
Find the slope of the line passing through (6.-1) and (7,3). Let (x1, y1) = (6.-1) and (x2.72) =
(7,3). List the coordinates, fill in the slope formula, and then simplify.
1 =
X2=
J1 =
12=
slope =
Answer:
X1=6
X2=7
y1= -1
y2= 3
now,
slope = y2-y1/x2-x1
= 3+1/7-6
=4/1
=1
hence slope= 1
5. At a wedding reception, an equal
number of guests were seated at
12 round tables. The 13 people in
the wedding party were seated at
a rectangular table. There were 121
people at the reception altogether.
Which equation could you use to find
the number of guests, n, seated at each
round table?
A 12 + 13n = 121
B 12n + 13= 121
C 121 = 12n - 13
D 121 = 13n - 12
Answer:
b i think
Step-by-step explanation:
convert r=2sin(2theta) into rectangular cords.
Answer:
[tex](x^2+y^2)^3 = 16x^2y^2[/tex]
Step-by-step explanation:
We want to convert the polar equation:
[tex]\displaystyle r = 2 \sin 2\theta[/tex]
To rectangular form.
Recall the double-angle identity for sine:
[tex]\displaystyle \sin 2\theta = 2\sin\theta\cos\theta[/tex]
Hence:
[tex]\displaystyle r = 4\sin\theta\cos\theta[/tex]
Since x = rcosθ and y = rsinθ:
[tex]\displaystyle r = 4\left(\frac{x}{r}\right)\left(\frac{y}{r}\right)[/tex]
Multiply:
[tex]\displaystyle r = \frac{4xy}{r^2}[/tex]
Recall that x² + y² = r². Hence:
[tex]\displaystyle r = \frac{4xy}{x^2 + y^2}[/tex]
By squaring both sides:
[tex]\displaystyle r^2 = \frac{16x^2y^2}{(x^2+y^2)^2}[/tex]
Substitute:
[tex]\displaystyle x^2+y^2 = \frac{16x^2y^2}{(x^2+y^2)^2}[/tex]
And multiply. Therefore:
[tex](x^2+y^2)^3 = 16x^2y^2[/tex]
Problem 3 Find the value of x.
value of x should be 3.2 units
Answered by Gauthmath must click thanks and mark brainliest
which kind of triangle is shown.
1. obtuse isosceles
2. acute equilateral
3. obtuse scalene
4. right scalene
Answer: 2, acute equilateral
Step-by-step explanation:
the image shows a triangle with all 3 sides congruent and 3 acute angles
A cab company charges $0.25 per 1 mile as well as a flat fee of $2.25 just for taking a ride in the
cab. If this scenario is represented as a function, what would the y-intercept be?
Answer:
y - intercept = 2.25
Step-by-step explanation:
y = mx + c
Where,
y = Total cost
x = additional cost
m = slope
c = y - intercept
y = 0.25x + 2.25
Relating with the above equation,
y - intercept = 2.25
Slope, m = 0.25
What is the units digit of 7⁷?
Answer:
[tex]7^{7}[/tex] = 823543
the unit position (the first) is equal to "3"
Step-by-step explanation:
I need help like rq
Answer:
h(x) = ½x + 5
Step-by-step explanation:
From the question given above, the following data were obtained:
Function, f(x) = 2x – 10
Inverse, h(x) =?
The inverse of the function, h(x) can be obtained as follow:
f(x) = 2x – 10
Let f(x) = y
y = 2x – 10
Interchange x and y
x = 2y – 10
Make y the subject by rearranging
x + 10 = 2y
Divide both side by 2
y = (x + 10) / 2
y = ½x + 5
Replace y with h(x)
h(x) = ½x + 5
Thus, the inverse of the function is
h(x) = ½x + 5
Solve for x in each of the following equations.
A)
X + 2 = 8
B)
- 5 - 4x = -21
C)
13 + 5x = 34 + 2x
Answer:
Step-by-step explanation:
a) x=6 (x= 8-2)
b) x=4 ( 4x=21-5=16 -> x=4
c) x=7 (3x=34-13=21 -> x=7)
tại teamart,1 ly trà sữa có giá a đồng và 1 ly kem có giá là b đồng.Hãy viết biểu thức đại số biểu thị số tiền bạn Cúc mua 3 ly trà sữa và 4 ly kem
Answer:
3 a + 4 b
Step-by-step explanation:
Biểu thức đại số biểu thị bạn Cúc mua 3 ly trà sữa và 4 ly kem là:
3 a + 4 b
18+17+16+15+14+13+12+11+10 what is the answer
Please help me I’m struggling