Write an equation of the line that passes through (2,-1) and is parallel to the line y=-3x+8
Answers
Answer:
y = - 3x + 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 )
y = - 3x + 8 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, then
y = - 3x + c ← is the partial equation
To find c substitute (2, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - 3x + 5 ← equation of line
Related Questions
please help find them
1 AB
2 BC
Answers
Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )
please find the area of this irregular shape
Answers
Answer: 10 sq units
Step-by-step explanation:
Area of triangle: 1/2 x b x h
1/2 x 2 x 2 = 2
Area of the left triangle is 2 sq units
1/2 x 4 x 2 = 4
Area of the right triangle is 4 sq units
Area of square: l x w
2 x 2 = 4
Area of square is 4 sq units
Area of figure: A of square + A of r tri. + A of left tri.
4 + 4 + 2 = 10
The area of the figure is 10 sq units.
Pls help!!! Pls and thank you!! So much
Answers
First you need to find the measure of angle 3
To find the measure of angle three subtract 116 from 180 because angle 3 is on a straight line which is equivalent to 180 degrees. Angle 3 is 64 degrees.
Then you add 64 and 52 then subtract that sum by 180 because the measure of a triangle equals 180 degrees.
64+52=116
180-116=64
Therefore angle 1 is 64 degrees
Hope this helps :)
Answer:
I solved it for u!
Hope it helps
Step-by-step explanation:
Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it
So here angle 3 = 64°
So angle 1= 64°
what is the y-intercept for f(x)=x2-8x+15
Answers
Answer:
(0, 15)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationThe y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
Step 1: Define
f(x) = x² - 8x + 15
Step 2: Find y-intercept
Substitute x = 0: f(0) = 0² - 8(0) + 15Exponents: f(0) = 0 - 8(0) + 15Multiply: f(0) = 0 + 15Add: f(0) = 15Rewrite: (0, 15)need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7
Answers
Answer:
what's the question thougu
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.
How many boys are in each grade?
Answers
Answer:
12 boys
Step-by-step explanation:
I believe the answer is 12 boys. I hope this helps!
Students planted 2(3x + 4y) amount of trees on Saturday and then 3(x + 8) amount of trees on Sunday. What is the total amount of trees that the students planted? *
Answers
Answer:
(9x + 8y + 24) trees
Step-by-step explanation:
The total amount of trees the students planted is calculated as:
Amount of trees planted on Saturday + Amount of trees planted on Sunday
= 2(3x + 4y) + 3(x + 8)
= 6x + 8y + 3x + 24
= 6x + 3x + 8y + 24
= 9x + 8y + 24
Hence, the total amount of trees the students planted was (9x + 8y + 24) trees
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answers
Answer:
again i can not see the given point
Step-by-step explanation:
Donny has $40 saved in his savings account and wants to earn more. He begins babysitting for the neighbors and gets paid $15 per hour. He seves all of his earnings 150 136 120 a Create a graph to show his total money saved from when he started through 10 hours of babysitting money saved (dollars) b. What is the slope of the ine? 88888889 c. What does the slope meen in this situation? 5 6 7 8 9 üme babysitting (hours) d. At what point does the Ine cross the vertical () ats? e. What does the vertical intercept mean in this situaton?
Answers
Answer:
a.) since he already has 40 in his savings account, start the line at (0,40) on the y-axis and then go up 15 every hour
b.) 15 or 15/1
c.) for each hour Donny spends working, the amount of money he has go up by 15
d.) (0,40)
e.) the vertical intercept or (y-intercept) is (0,40) because this is how much money Donny already has in savings
last one! Please help me !!
Answers
Answer:
1.) A 2.) B
Step-by-step explanation:
Formula: a^2+b^2=c^2
4^2+3^2=5^2
Proof:
4^2=16
3^2=9
9+16=25
5^2=25
Kristin conducted an experiment in her science class to see how water drained from a contamer The given graph shows the data
that Kristin collected as a function of the height of the water over time
Krisin's two most accurately plotted points for the rate of flow of the water occurred when the height of the water was
fifty-five centimeters after four seconds and when the height was twenty centimeters after fourteen seconds
Use these two data points to determine the equation for the line of best fit for Krisin's experiment
Answers
Answer:
y = -3.5x + 69.
Step-by-step explanation:
Find the value of x in the isosceles triangle
Answers
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
1.The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and \$7,100is collected. How many adults and how many children were at the fair?
Answers
Answer:
568 ADULTS
284 CHILDREN
Step-by-step explanation:
5C+10A=7100
A=2C
5C +10(2C)=7100
5C+20C=7100
25C=7100
C=284
A=2C
A=568
BRAINLIEST???
Plz help it due In 20 mins
Answers
Answer:
Slope of line A= -1/3
B=-1
C= -5/4
Step-by-step explanation:
Use: slope m= y-y1/ x-x1
PLEASE HELP THANKS!!!
Answers
Answer:
235
Step-by-step explanation:
area of one square=
180
area of other square=
11 times 5 =55
55+180=235
please mark be as brainliest
Answer:
[tex]a=20cm\\b=14cm[/tex]
[tex]a_{1} =11cm\\a_{2}=a-a_{1} =20cm-11cm=9cm\\[/tex]
[tex]b_{1} =9cm\\b_{2}=b-b_{1}=14cm-9cm=5cm[/tex]
[tex]S=S_{1} +S_{2} =154cm^{2}+81cm^{2}=235cm^{2}\\S_{1}=a_{1} *b=11cm*14cm=154cm^{2} \\S_{2} =a_{2} *b_{1} =9cm*9cm=81cm^{2}[/tex]
[tex]S=235cm^{2}[/tex]
1. The temperature outside is -5°F.
Name the temperature that would make
the sum of the two temperatures 0°F.
I
Your anstver
Question 2
Answers
Answer:
1
Step-by-step explanation:
can I please have some help
Answers
Step-by-step explanation:
6.-3
8.-36
10.11
make it braintliest please
Answer:
6) q = -3
8) d = -4
10) y = 10
Step-by-step explanation:
6) -7q = 21
divide by -7 on both sides
q = -3
8) -1/3d = 12
divide both sides by -1/3
d = -4
10) -88 = -8y
divide both sides by -8
10 = y
or
y = 10
Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP
Answers
Answer: always decreasing
Step-by-step explanation:
Since it goes down without going back up it is always decreasing
Is 16 bigger than 16 11/16?
Answers
Use the figure at the right to answer questions 9-12.
Answers
Answer:
9.) 5x - 18 = 4x + 7 10.) x = 25 11.) m∠MNQ = 107° 12.) m∠MNR = 73°
Step-by-step explanation:
9. & 10.)
∠MNQ and ∠RNP are vertical angles meaning they are equivalent to each other. Knowing that, we can set their values equal to each other and solve for x.
5x - 18 = 4x + 7 (Given)
x - 18 = 7 (Subtract 4x on both sides)
x = 25 (Add 18 on both sides)
Therefore, we know the equation is 5x - 18 = 4x + 7 and we know that x = 25.
Now we can solve for the angles.
11.)
5(25) - 18
125 - 18 = 107
Therefore, m∠MNQ = 107°.
12.)
∠MNR and ∠MNQ are supplementary angles meaning their angles will add up to 180°
∠MNR + 107 = 180
∠MNR = 73
Therefore, m∠MNR = 73°.
5x^2-12=88 solve algebraically
Answers
Answer:
x = 2sqrt(5) or x = -2sqrt(5)
Step-by-step explanation:
5x^2 - 12 = 88
5x^2 = 100
x^2 = 20
x = +/- sqrt(20)
x = 2sqrt(5) or x = -2sqrt(5)
Answer:
[tex]x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]
Step-by-step explanation:
Given equation: [tex]5x^2-12=88[/tex]
Step 1: Add 12 to both sides.
[tex]\\\implies 5x^2-12+12=88+12\\\\\implies 5x^2=100[/tex]
Step 2: Divide both sides by 5
[tex]\\\implies\dfrac{5x^2}{5}=\dfrac{100}{5}\\\\\implies x^2=20[/tex]
Step 3: Take the square root of both sides (positive and negative roots).
[tex]\\\implies \sqrt{x^2}=\sqrt{20}\\\\\implies x=\pm\ \sqrt{20}[/tex]
Step 4: Simplify.
[tex]\\\implies x=\pm\ \sqrt{4\times5}\\\\\implies x=\pm\ 2\sqrt{5}[/tex]
Step 5: Separate into two cases.
[tex]\implies x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]
Another example:
https://brainly.com/question/20778317
Shasta is going to her best friend's house for dinner. Her mother says she needs to be back in 2 and a half hours. If she leaves at 5:00 pm, what time will she be back?
Answers
Answer:
It would be 7:30 pm
Step-by-step explanation:
22 lb/day ≈ ____________ oz/h
Answers
Answer:
there are 16 ounces in a pound and 24 hours in a day.
22*16= 352oz/day
352/24 = 14.66666 oz/h
i would round up because it has the about symbol. so your answer is:
15 oz/h
Step-by-step explanation:
i multiplied 22 by 16 to find out how many ounces were in 22 pounds.
i divided 352 by 24 because there's 24 hours in a day and i needed how many ounces for one hour.
Answer:
122 oz a day is the aswer
A box without cover is to be constructed from a rectangular cardboard measuring 6 cm by 10 cm by cutting out four square corners of length x cm. Let V represent the volume of the box. Express the volume V of the box in terms of x, writing the equation in factored form.
Answers
Answer:
60xcm^3
Step-by-step explanation:
6 times 10 times x
60x
In the diagram the length of segment VS is 39 units what is the length of segment TV
Answers
Answer:
33
Step-by-step explanation:
Answer: B. 38
Step-by-step explanation:
Got it right, Edge 2022.
If a triangle has three sides with the lengths 20, 16, and 12, what are the angles?
Answers
Answer:
angle a = 53.13°
angle b = 36.87°
angle c = 90°
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates ∠A, ∠B, ∠C based on given a, b and c.
∠A = arccos( b2 + c2 - a2 2bc )
= 0.9273 rad = 53.13° = 53.13°
∠B = arccos(a2 + c2 - b2 2ac )
= 0.6435 rad = 36.87° = 36.87°
∠C = arccos(a2 + b2 - c2 2ab )
= 1.5708 rad = π/2 = 90°
mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee
Answers
Answer:
what do you mean
Step-by-step explanation:
I need help with this problem
Answers
Answer:
6/5
Step-by-step explanation:
what is the answer for 2/3 z = -6
Answers
Answer:
z=−9
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3z =−6
Step 1: Multiply both sides by 3/2.
(3/2)*(2/3z)=(3/2)*(−6)
z=−9
plz give brainlyest
Someone please do this!
Answers
Answer:
£518.42
Step-by-step explanation:
