Answer:
[tex]\boxed {\boxed {\sf y= 2x-12}}[/tex]
Step-by-step explanation:
We are given a slope and a point, so we can use the point-slope equation.
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and (x₁, y₁) is the point.
The slope is 2 and the point is (3,-6).
[tex]m= 2\\x_1=3 \\y_1=-6[/tex]
Substitute the values into the formula.
[tex]y--6=2(x-3)[/tex]
[tex]y+6=2(x-3)[/tex]
Distribute the 2 on the right side of the equation.
[tex]y+6=(2*x)+(2*-3)[/tex]
[tex]y+6=2x-6[/tex]
We want to get the line into the form: y=mx+b. We have to isolate y on one side of the equation. 6 is being added to y. The inverse of addition is subtraction; subtract 6 from both sides of the equation.
[tex]y+6-6=2x-6-6[/tex]
[tex]y=2x-6-6[/tex]
[tex]y=2x-12[/tex]
The line is y=2x-12 (slope=2 and y-intercept=-12)
expand this question
(a+3)(a+5)
Answer:
Work shown below!
Step-by-step explanation:
(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]
What is the solution set for 9x^2-25=0?
Answer:
A
Step-by-step explanation:
9x^2-25=0
x= 5/3 and -5/3
By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]
What is quadratic equation ?Any equation that can be written in form as [tex]ax^{2}+bx+c=0[/tex] , where x is variable and a, b and c are any real numbers and a ≠ 0 is called quadratic equation .
given quadratic equation :
[tex]9x^2-25=0\\\\[/tex]
Adding 25 both sides
[tex]9x^2-25+25=0+25\\\\\Rightarrow 9x^2=25[/tex]
Dividing by 9 on both sides
[tex]\frac{9x^2}{9}=\frac{25}{9}\\\\x^2= \frac{25}{9}[/tex]
Taking square root both sides
[tex]x= \pm \sqrt(\frac{25}{9})[/tex]
[tex]x= \pm \frac{5}{4}[/tex]
[tex]x= \{\frac{-5}{4}, \frac{5}{4} \}[/tex]
By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]
To learn more about quadratic equation visit :https://brainly.com/question/1214333
Im not exactly sure what to do, could someone help me out?
Answer:
AB = 18 in.
BC = 22 in.
ED = 33 in.
Angle B = not possible
Angle C: not possible
Angle D = 39°
Angle E: not possible
Angle F: not possible
Step-by-step explanation:
Because it is given that ΔABC≅ΔDFE, we can find the corresponding sides and angles and then find all possible missing side and angle measures from the given diagram.
AB corresponds to DF (ΔABC ≅ ΔDFE)
Because DF = 18, then AB must equal 18.
BC corresponds to FE (ΔABC≅ΔDFE)
Because FE = 22, then BC must equal 22.
ED corresponds to CA (ΔABC≅ΔDFE)
Because CA = 33, then ED must equal 33.
Angle D corresponds to angle A (ΔABC≅ΔDFE)
Because angle A = 39°, then angle D must equal 39°.
All other angles cannot be found since they are not given on the corresponding angles of the triangles in the diagram.
I hope this helps you :)
Determine the area of the figure, in square meters. HELP ME PLAES BRIANEST ASAP PLEASE HAVE A EXPLIATION
Answer:
100 sq m
Step-by-step explanation:
if you fill in the shape to be a big rectangle it will be 8 x 22 =176 sq m
then the little piece on the left that is taken out is 2 x 2 = 4 sq m
the piece on the right is 6 x 12 = 72 sq m
so subtract them from the big rectangle
176 - 4 - 72 = 100 sq m
Answer:
100m^2
Step-by-step explanation:
To do this we need to break the shape into sections as illustrated in the picture I attached, I color coded the squares to make it easier to explain. Now we just find the area of each shape and add them all together.
Area= base•height
So for the purple shape:
6•2=12
Orange:
8•8=64
Green:
2•12=24
In total:
12+64+24=100
And since it's area it would be in square units which just means it'd look like this:
[tex] {100m}^{2} [/tex]
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
BD bisects m m Find m
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
[tex]m\angle ABC = 77.2^\circ[/tex]
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
[tex]m\angle ABD=m\angle CBD[/tex]
Substituting the algebraic expressions for both angles:
[tex]2.5x + 8.6=3.5x - 3.4[/tex]
Subtracting 8.6 and 3.5x:
[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]
Operating:
[tex]-x = -12[/tex]
[tex]x = 12[/tex]
The two angles are:
[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]
[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:
[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]
[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]
1/3 (x-10)=-4 what does x represent
Answer:
-2
Step-by-step explanation:
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Step 1: Multiply both sides of the equation by 3.
Step 2: Simplify both sides of the equation.
Step 3: Move all terms not containing x to the right side of the equation.
Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.
Answer:
39.19
Step-by-step explanation:
sin(29°)=(19/x)
x= 19/sin(29°)
/= over
i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse
HELPPP!!!
help me for a brainliest!
=5^6/5^4
=5^(6-4)
=5^2 ANSWER..
Darnell is underwater 20 feet below sea level. His friend is on a hill 32 feet above sea level. How far apart are the two friends?
Answer:
52 feet apart
Step-by-step explanation:
20 + 32 = 52
Answer:
52 feet
Step-by-step explanation:
20 + 32 = 52
How many solutions does 6x= 1 = 2x + 5 + 4x + 6 have?
A. No Solutions
B. Two solutions
C. Infinitely many solutions
D. One Solutions
Answer:
C. Infinitely many solutions
Step-by-step explanation:
Answer:
INFINITE SOLUTIONS
Step-by-step :(examples)
any value of x makes the equation true
true for all= infinite solutions
one solution= x=30
no solution= 7=0
Math problem.................................................................. Nah fam you ain't gonna answer it correctly also show work :)
Answer:
Ok
Step-by-step explanation:
I WILL MARK BRAINLIEST!!!
Factor -6m + 9.
-6(m - 3)
-6(m + 9)
-3(2m + 3)
-3(2m - 3)
Answer: -3(2m - 3)
Step-by-step explanation:
Mary ran 2 miles in 23 minutes how long will it take her to run 15 miles
Cydney is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line p and labels two points on the line as (0, a) and (b, 0). Enter the answers, in simplest form, in the boxes to complete the proof. The slope of line p is . Rotate line p 90° counterclockwise about the origin to get line q. The labeled points on line p map to (−a, 0) and ( , ) on line q. The slope of line q is . The slopes of the lines are opposite reciprocals because the product of the slopes is .
Answer:
Slope of p = -a/b
(0, b) is on line q
Slope of q = ( b - 0) / (0 - -a) = b/a
Product of the slopes = (-a/b) (b/a) = (-ab) /(ab) = -1
I hope this helps (: Have a whimsical day! lol
Ally ran 5 miles in 36 minutes. If Ally runs at the same rate, how long would it take her to run 1 mile?
Answer:
7.2 Minutes
Step-by-step explanation:
Use Ratios
Miles : Minutes
5:36
Divide Both Sides By 5
1:7.2
It will Take Ally 7.2 Minutes To Run 1 Mile
I am trying to find the area of my master bedroom. The measurements are 4x-3(L) 6x-6(W).
the answer keeps coming out to be Zero. And you have to have measurements for the room, so that doesn't make sense.
Substitute x as 4.
Answer:
L= -12
W= -36
Step-by-step explanation:
-12 x -36 = 432
so the area of your master bedroom is 432.
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.
0.40
0.72
1.15
2.14
Answer: 1.15
Step-by-step explanation:
Answer:
1.15 is the answer
Step-by-step explanation:
Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4
Answer:
Point form: (4, 4)
x = 4, y = 4
I need help!!! Find m<2.
Answer:
Step-by-step explanation:
m∠2 = 180° - 113° = 67°
Consider quadrilateral EFGH.
The slope of EF is .
Which statements are true? Check all that apply.
EH is parallel to FG.
EF is perpendicular to EH.
HG is neither parallel nor perpendicular to FG.
Quadrilateral EFGH is a rectangle because it is a parallelogram with four right angles.
Quadrilateral EFGH is a trapezoid because it has exactly one pair of parallel opposite sides.
(B) EF is perpendicular to EH.
Quadrilateral:A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices). The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it is also known as a quadrangle or 4-angle. Display style "square ABCD" is sometimes used to indicate a quadrilateral with the vertices A, B, C, and D.Therefore, the correct option is (B) EF is perpendicular to EH.
Know more about quadrilaterals here:
https://brainly.com/question/16691874
#SPJ2
Answer:
B and C
Step-by-step explanation:
Please HELP D: what are the Angels of A,B,C,D
[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]
Answer:
[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]
Step-by-step explanation:
Exponents Properties
We need to recall the following properties of exponents:
[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]
[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]
We are given the expression:
[tex]2^m=n[/tex]
We need to express the following expression in terms of n.
[tex]8^m-4^{-m}[/tex]
It's necessary to modify the expression to use the given equivalence.
Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:
[tex](2^3)^m-(2^2)^{-m}[/tex]
Applying the property:
[tex](2^m)^3-(2^m)^{-2}[/tex]
Substituting the given expression:
[tex]n^3-n^{-2}[/tex]
Or, equivalently:
[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]
The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
volume. Express this density in ounces per fluid ounce. Round your answer to the
nearest hundredth.
Answer:
1.88
Step-by-step explanation:
Plzz help its only 1 question!!!
Answer:
D is correct
rost beef sandwich=7$
turkey sandwich=5$
Step-by-step explanation:
q+9p when q=18 and p=4 just the answer not how to solve
Answer:
The answer would be 54.
Answer:
The answer is 54.
Step-by-step explanation:
(Sorry I have to do this otherwise it will be deleted)
18+36
PLZ HELP FIFTY POINTS FOR WHOEVER HELPS I NEED THIS ASAP
Answer:
x = 18
y = 54
Step-by-step explanation:
A straight line equals 180 degrees.
Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.
Because there is a right angle, we can subtract 90 -72 = 18.
18 + 2x = 3x
18 = x
A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!
Which of the following are right triangle congruence theorems
Answer:
All of them
Step-by-step explanation:
-3 (4b - 10) = 114
What does b equal?
Answer:
b = -9.5
Step-by-step explanation:
-3 (4b - 10) = 144
-12b + 30 = 144
-30 -30
-12b = 114
/-12 /-12
b = -9.5
Hope this helps!
The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?
Answer:
6560lbs
Step-by-step explanation: