To write the equation of the line, we will use the point-slope formula.
To do this, we need a point and a slope.
We can find out slope by using the slope formula.
m = y₂ - y₁ / x₂ - x₁
So we have 5 - 9 / 3 - 1 or -4/2 which is -2.
Now let's use the point-slope formula.
y - y₁ = m(x - x₁)
Now substitute one of our points (x₁, y₁) into our formula.
So we have y - 5 = -2(x - 3).
Distributing the -2 gives us y - 5 = -2x + 6.
Moving the -5 to the right, we have y = -2x + 11.
So y = -2x + 11 is our equation.
For the triangles described, which of the following statements must be true? In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°. (1 point) ∠Q≅∠F ∠R≅∠F DE¯¯¯¯¯¯¯¯≅PQ¯¯¯¯¯¯¯¯ ∠E≅∠Q
Answer:
∠Q≅∠F
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.
Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.
Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Therefore:
DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q
In the figure below, ABD measures 41. What is the measure of ABC?
Answer:
The answer is 82 degrees.
Which pair of measurements is not equivalent
Answer:
where are the measurements?
Step-by-step explanation:
Best and Correct answer gets BRAINLIEST!!!
Answer:
3/2
Step-by-step explanation:
K = Y/X
please help me? :( I really need it!
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
suppose sin(x) = -3/5 and cos(x) < 0. what is the value of cos (2x)?
Answer:
7/25
Step-by-step explanation:
Answer is C
Monique is paid p dollars monthly. She also receives a bonus of $5,500 once a year. Write an expression to
represent the amount of money Monique is paid in ore year?
Answer:
Step-by-step explanation:
monthly express as p
in a year she will have 12p+5,500
GUYS PLEASE HELPPPP (and dont take the points pls)
Answer:
12.9
Step-by-step explanation:
Let's understand this,
Angle of elevation is 30° and the is standing perpendicularly, we have to find the distance from the branch to the mouse.
According to question,
cosine or cos thita = Base/Hypotenuse
Cos 30° = 15/H
0.86 = 15/H
H = 0.86 × 15
H = 12.9 (Round off 13)
Hope it helps!
Sam bought an $85.00 jacket for 40% off of the regular price. He also has to pay 5% for tax. How much did he pay for the jacket after the discount and tax?
In the parallelogram below, x = [? ] 6x-57 3x+3
The value of x is 20
What is a parallelogram?A parallelogram is a quadrilateral with equal opposite sides
Since the opposite sides of a parallelogram are equal, then the following equation is true
[tex]6x - 57 = 3x + 3[/tex]
Divide through by 3
[tex]2x - 19 = x + 1[/tex]
Collect like terms, in the above equation
[tex]2x - x = 19 +1[/tex]
Evaluate the like terms
[tex]x = 20[/tex]
Hence, the value of x is 20
Read more about parallelograms at:
https://brainly.com/question/3050890
The weights of an orange in the bin at the grocery store vary normally with a mean of 10 oz. and a standard deviation of 2.5 oz. If you randomly pick two oranges out of the bin, what is the probability that the difference in their weight is at least 1 oz?
a) 0.421
b) 0.389
c) 0.778
d) 0.135
e) 0.842
Answer:
e) 0.842
Step-by-step explanation:
86.04005 is written in words as
Answer: eighty six point zero four zero zero five. OR eighty six and four thousand five, hundred thousandths
Step-by-step explanation:
the place value answer is a little confusing but its correct i believe
Solve the system
4x+5x= -27
x+9y= 1
Answer:
x=-3, y = 4/9
Step-by-step explanation:
This is in equation form.
Pleasee help ASAP I’m begging u plssss
You have a rock with a volume of 15 cm3 and a mass of 45 g. What's its density?
The formula for density is d = m/v.
d = density
m = mass
v = volume
The volume of the rock is 15 cubic centimeters.
The mass of the rock is 45 grams.
Now just plug these into the formula and solve.
d = 45/15.
45/15 = 3.
The density of the rock is 3 grams per cubic centimeters.
Mass of the rock = 45 g
Volume of the rock = 15 cubic cm
Formula:Density = Mass / Volume
Explanation:By putting the respected values, we get
Density = 45 g / 15 cubic cm = 3 gram/cubic centimeter
Answer:Density of the rock is 3 gram/cubic centimeter.
If AC = 2, CD = 6, and CE = 3, what is BC?
Answer:
Hello,
Statement: Reasons:
BC/CD = AC/CE 1. Given
∠BCA = ∠ECD 2. Vertical ∠'s =
△ACB ~ △ECD 3. SAS
Hope it helps!
Step-by-step explanation:
Answer:
i believe the answer would be number 4
What is the value of g(f(x)) ? Ο Α. . -6 OB. C. 19 D. 31
Answer:
D. 31
Step-by-step explanation:
Given:
[tex] f(x) = 4x^3 - 10 [/tex]
[tex] g(x) = \frac{3x - 4}{2} [/tex]
Required:
The value of g(f(2))
First, find f(2).
Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].
[tex] f(2) = 4(2)^3 - 10 [/tex]
[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]
[tex] f(2) = 22 [/tex]
Next, find g(f(2)).
[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]
[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = 31 [/tex]
Please I really need help with this question!!
1. Slope of segment BC
2. Slope of segment AD
3. Length of segment BC
4. Length of segment AD
5. ABCD is a ________
Answer:
Step-by-step explanation:
1 and 2.
slope is m = ( y2-y1) / (x2-x1)
slope of BC = 5-3 /6-1 = 2/5
slope of AD = 1 +1 / 7-2 = 2/5
3 and 4
use the distance formula d= √(x2-x1)² +(y2-y1)²
BC = √( 6-1)²+(5-3)² = √5²+2²= √29
AD = √(7-2)²+(1+1)² = √5²+2² = √29
5.
since BC and AD have the same slope then they are parallel
since BC and AD are same length the segments are ≅
so ABCD is a rectangle
10 times as much as 72.67
Answer:
726.7 hope this helps
how you can use Triangle congruence to solve real-world problems? give 3 examples.
Answer:
1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.
2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.
3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.
What is the equation of the ine?
Answer:
Step-by-step explanation:
x=0 is the equation because is just a vertical line
Answer: X=0
Step-by-step explanation:
Amanda has 2/3 apples. Make an equation to find how many 2/3 can go into 6.
Answer:
6 apples.
How I solved it:
2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3=
18/3
18/3=6
3/3=1
6/1= 6 apples.
Is the following a function? Each student's unique identification number paired with their grade level
Answer:
Yes, because each student's indetification number paired with their grade level
Step-by-step explanation:
Which has a value closest to 9?
63
110
99
183
Answer:
64
Step-by-step explanation
PLZ HELP ME WITH THIS!?!?! I WILL MARK BRAINLIEST!!!
Answer:
a: 1/7 +2/7
b:1/7 +1/7+1/7
please help me with my homework :)
help me pls big points
Answer:
the answer should be 18.5
Alexa is making a recipe that requires 1 cup of water and 4 cups of flour. Which of the following combinations shows the same ratio of water to flour?
A. 2 cups of water to 3 cups of water
B. 2 cups of water to 4 cups of flour
C. 2 cups of water to 8 cups of flour
D. 3 cups of water to 6 cups of flour
Answer: c
Step-by-step explanation: 1:4 is 4 times the flour to water and 2:8 is also 4 times the flour
PLEASE ANSWER ASAP!!Find a rational function that might have the given graph. (More than one answer might be possible.)
Answer:
The rational function that might have the given graph is [tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex].
Step-by-step explanation:
This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at [tex]x = -1[/tex] and [tex]x = 1[/tex]. The lead coefficient of the numerator must be 1, since horizontal asymptote must be [tex]y = 0[/tex] and intercept must be [tex]0[/tex], since [tex]y(0) = 0[/tex].
Then, we conclude that a rational function that might have the graph is:
[tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex] (1)
We present the proof that given function is appropriate.
-3 < x -10 Solve for X and simplify please
Hey there!
“-3 < x - 10”
SOME people treat the “<” “>” as an equal sign to make these types of problems easier to solve!
-3 = x - 10
Flip the equation around
x - 10 = -3
ADD both of your sides by 10
Like: x - 10 + 10 = -3 + 10
CANCEL out: -10 + 10 because it gives us 0
Keep: -3 + 10 because it gives us the value of x
-3 + 10 = x
Solve that above and you have your answer: x = 7 ☑️
Overall answer: x < 7
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)