Answer:
y = -2/9x+2/3
Step-by-step explanation:
First find the slope
m= (y2-y1)/(x2-x1)
= (0-2)/(-3-6)
= -2 /-9
2/9
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 2/9x+b
Using the point -3,0
0 = 2/9(-3) +b
0 = -2/3+b
b = 2/3
y = -2/9x+2/3
A is the point (0, 8) and R is the point (5, 6). Find the point Con the y-axis such that angle ABC is 90°
Answer:
(0, -13/2) or (0, -6.5)
Step-by-step explanation:
a point on the y-axis means x=0.
so, the solution is a point (0, y).
and I assume (5, 6) is not R but is B.
for the angle at B being 90 degrees, we are looking at a right-angled triangle, and basic Pythagoras has to be true :
c² = a² + b²
with c being the Hypotenuse (the line opposite of the angle with the 90 degrees).
in our case, this c is the connection from A to C.
and a and b are the connections AB and BC.
so,
AC² = AB² + BC²
the distance between two points is again calculated via Pythagoras, where the differences in x and y directions are the sides, and the distance itself is the Hypotenuse.
so, we get
(0-0)² + (8-y)² = (0-5)² + (8-6)² + (5-0)² + (6-y)²
(8-y)² = -5² + 2² + 5² + (6-y)²
64 - 16y + y² = 25 + 4 + 25 + 36 - 12y + y²
64 - 16y + y² = 90 - 12y + y²
64 - 16y = 90 - 12y
-26 = 4y
y = -26/4 = -13/2 = -6.5
What is the factored form of 1,458,43 – 2?
Answer:
Factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458. There are 14 integers that are factors of 1458. The biggest factor of 1458 is 1458. Positive integers that divides 1458 without a remainder are listed below.
I don’t know if I get this right so can someone correct it or check it ?
Answer:
i think thats right
Step-by-step explanation:
Anna and Damien still haven't finished inventory for their pet store. They just received a shipment of 4 chinchillas. They already had 3 cages with 4 chinchillas in each. What expression shows Anna and Damien how many chinchillas they have now?
Answer:
16!
Step-by-step explanation:
4 x 3 = 12 + 4 = 16
10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number
Answer:
11
Step-by-step explanation:
To calculate the mean you add all the numbers and divide by the number of numbers. There are 4 numbers in this set so we will divide by 4.
Let x be the unknown number,
(10+4+7+x)/4=8(mean)
To solve for x, we first mutliply both sides by 4.
To simplify the left side we can add 10+4+7 and get 21 where now our equation is 21+x=32. Subtract 21 on both sides and you will get 11 which is our answer.
Plug-in 11 and solve for the mean to verify where we do indeed get 8 as the mean.
HELP PLEASE ASAP!!!!! Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
GIVE ME BRAINLIEST
Step-by-step explanation:
4 = t/2.5
t=?
i am not sure how to divided this... also what is t?
Answer:
"t" is not a specific thing, this is just the sign of your variable.
t = 4 × 2.5
t = 10
please answer if you can
Step-by-step explanation:
denominator
add numerator
Which two ratios represent quantities that are proportional?
A. 25/28 and 5/7
B. 22/33 and 14/21
C. 16/13 and 13/16
D. 48/60 and 35/42
Answer:
B
Step-by-step explanation:
22/33 = 0.667
14/21 = 0.667
Since both quantities both have the ratio of 2:3, they are proportional
The other choices are not proportional
25/28 = 0.893
5/7 = 0.714
16/13 = 1.231
13/16 = 0.813
48/60 = .8
35/42 = .833
Please help me find the sides of this triangle using the special right triangle method, 45-45-90. With work :)
Answer:
see explanation
Step-by-step explanation:
The sides of a 45- 45- 90 triangle are in the ratio 1 : 1 : [tex]\sqrt{2}[/tex]
where 1 , 1 are the legs and [tex]\sqrt{2}[/tex] the hypotenuse
If we let the ratio be a : a : [tex]\sqrt{2}[/tex] a , then
AT = AD = a = 10
DT = [tex]\sqrt{2}[/tex] a = 10[tex]\sqrt{2}[/tex]
Answer:
Step-by-step explanation:
The basic 45-45-90 triangle ratio is :
Side opposite to 45° angle: x
Side opposite to 45° angle: x
Side opposite to 90° angle: x√2
Ratios of sides of 45-45-90 triangle is x : x : x√2
Side opposite to ∠D which is 45° is : 10
AT = x = 10
Side opposite to ∠T which is 45° is : 10
AD = x = 10
Side opposite to ∠A which is 90° is : TD
TD = x√2 = 10*√2 = 10√2
Please answer correctly and you will receive a crown and brainliest.
Answer:
See explanation
Step-by-step explanation:
Chevy Malibu hybrid = 6.8
Ford mustang = 9.6
Nissan Pathfinder = 10.8
Toyota Corolla = 6.3
1. Chevy Malibu hybrid to Toyota Corolla = 6.8 to 6.3
= 6.8 : 6.3
= 6.8 / 6.3
2. Nissan Pathfinder to Ford mustang = 10.8 to 9.6
= 10.8 : 9.6
= 10.8 / 9.6
= 2.7 / 2.4
3. Toyota Corolla to Nissan Pathfinder = 6.3 to 10.8
= 6.3 : 10.8
= 6.3 / 10.8
4. Ford mustang to Chevy Malibu hybrid = 9.6 to 6.8
= 9.6 : 6.8
= 9.6 / 6.8
= 2.4 / 1.7
A large container is partially filled with n liters of water. Ito adds 10 liters of water to the container, making it 60% full. If Ignacio adds 6 more liters of water, the container will be 75% full.
What is the value of n?
Answer:
[tex]14\text{ liters}[/tex]
Step-by-step explanation:
Let the total amount of water the container can hold be [tex]t[/tex]. Currently, there are [tex]n[/tex] liters in the container. If Ito adds 10 liters of water, the container will be 60% full. We can express this statement in the following mathematical equation:
[tex]n+10=0.6t[/tex]
Next, we're given that if we add 6 more liters to this, the container will be 75% full.
Therefore, we have:
[tex]n+10+6=0.75t,\\n+16=0.75t[/tex]
This is a system of equations:
[tex]\begin{cases}n+10=0.6t,\\ n+16=0.75t\end{cases}[/tex]
Subtract both equations to conveniently get rid of [tex]n[/tex]:
[tex]10-16=0.6t-0.75t,[/tex]
Combine like terms:
[tex]-6=-0.15t[/tex]
Divide both sides by -0.15:
[tex]t=\frac{-6}{-0.15}=40[/tex]
Now substitute [tex]t=40[/tex] into any equation (I'll choose the first):
[tex]n+10=0.6(40),\\n+10=24[/tex]
Subtract 10 from both sides:
[tex]n=24-10=\boxed{14\text{ liters}}[/tex]
14 A curve has equation y=x2 - 6x² + 16. Find the coordinates of the two turning points.
Step-by-step explanation:
there is something wrong with your problem description.
you really mean x² - 6x² + 16 ?
or is it 2x - 6x² + 16 ?
in any case this would be a squared equation, which does not have 2 turning points.
we would need an equation with x³.
for that we would create the 1st deviation, which would be then a squared equation with 2 solutions, which would be the 2 turning points of the initial equation.
In right A ABC, B is a right angle and sin _ C= x.
sin A=
V1 – *2
22
Ох,
O2 - 1
+1
Answer:
Step-by-step explanation:
Need help here please and thank u
Answer:
I think C sorry if wrong
Step-by-step explanation:
SUBJECT: Graphs and Function
Identify the range of the function shown in the graph.
Segment addition and midpoints
The measure of QS is 11 units.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment QT, where the length of line segment QT refers to the distance between its endpoints, Q and T.
Q_________R___________S_________T
Given that RT= 12
And RS=7
⇒ RT= RS + ST
⇒ ST= RT - RS
⇒ ST= 12-7
Substitute the values of RT and RS,
⇒ ST= 5
⇒ QT= 16
⇒ QR = 16 - RT= 16 - 12 = 4
⇒ QS = QR + RS
Substitute the values of QR and RS,
⇒ QS = 4 + 7=11
⇒ QS = 11
Hence, the measure of QS is 11 units.
Learn more about the line segment here:
brainly.com/question/25727583
#SPJ2
5(^ 1/5 +-4) 2(-4)(-0.8)^ 2
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} \frac{5(\frac{1}{5}+(-4) )}{2\cdot(-4) \cdot (0-0,8)^2} =\frac{^1 \ 5^{ }\!\!\!\!\diagup\cdot \frac{1}{5\!\!\!\!\diagup}-20 }{-8 \cdot 0,64 } = \\\\\\ \frac{-20+1}{-5,12} =\frac{-19}{-5,12} \cdot \frac{25}{25} =\frac{475}{128} =\boxed{\pmb{3\frac{91}{128} }}[/tex]
Three is subtracted from a number, and then the difference is divided by eleven. The result is twelve. What is the
number?
Answer:
The number is 135.
Step-by-step explanation:
1) Form an equation
Three is subtracted from a number
⇒ [tex]x-3[/tex] (where x is "the number")
The difference is divided by 11
⇒ [tex]\displaystyle \frac{x-3}{11}[/tex]
The result is 12
⇒ [tex]\displaystyle \frac{x-3}{11}=12[/tex]
2) Solve the equation
[tex]\displaystyle \frac{x-3}{11}=12[/tex]
Multiply both sides by 11
[tex]\displaystyle \frac{x-3}{11}*11=12*11\\\\x-3=132[/tex]
Add 3 to both sides
[tex]x-3+3=132+3\\x=135[/tex]
Therefore, the number is 135.
I hope this helps!
Challenge: For a particular job, the Amax Employment Agency charges a fee that is equal to 15% of the first
month's pay. If the job pays X dollars annually, express the agency fee algebraically.
Answer:
0.0125x or x/80
Step-by-step explanation:
Salary: x dollars per year
To find the pay per month, we divide the annual pay by 12.
The monthly pay is x/12
15% of the first month's salary is
15% of x/12 = 0.15 * x/12 = 0.0125x = x/80
Answer: 0.0125x
Which number lines have points that represent additive inverses? Check all
that apply
-54-3 -2 -1 0
1
2
3
4 5
-513 2-1
0
1
2.
3
4 5
5 4 3 2 1
1
2
3 4
-54-3-2-1
0
1
2
3 4 5
Answer:
2nd and fourth one
Step-by-step explanation:
I just did it and if you look at both of them and if you look closely they each have a negative and a positive
The measure of an angle is 32.6º. What is the measure of its supplementary angle?
Answer:
147.4°
Step-by-step explanation:
Supplementary angles sum to 180° , then
supplementary angle = 180° - 32.6° = 147.4°
What shape is this? I’m so confused and I need to get this done really quickly!
The shape is an irregular pentagon
Find the slope intercept form and the point slope the line perpendicular to 4x-7y=2 going through (-6,1)
Answer:
Slope-intercept form: [tex]y=-\frac{7}{4}x-\frac{19}{2}[/tex]
Point-slope-form: [tex]y-1=-\frac{7}{4}(x+6)[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line perpendicular to the line 4x-7y=2 that goes through (-6, 1) in slope-intercept form, as well as the point-slope form
Slope-intercept form is defined as y=mx+b, where m is the slope and b is the y intercept
Point-slope form is defined as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
Meanwhile, perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1
So let's find the slope of the line 4x-7y=2
The equation of the line is in standard form, which is ax+by=c, where a, b, and c are integer coefficients a is non-negative, and a and b aren't 0
So let's find the slope of the line 4x-7y=2
One way to do that is to convert the equation of the line from standard form to slope-intercept form
Our goal is to isolate y onto one side
Subtract 4x from both sides
-7y=-4x+2
Divide both sides by -7
y=[tex]\frac{4}{7}x-\frac{2}{7}[/tex]
So the slope of the line 4x-7y=2 is [tex]\frac{4}{7}[/tex]
Now, we need to find the slope of the line perpendicular to it
Use this formula: [tex]m_1*m_2=-1[/tex]
[tex]m_1[/tex] in this case is [tex]\frac{4}{7}[/tex]
[tex]\frac{4}{7}m_2=-1[/tex]
Multiply both sides by [tex]\frac{7}{4}[/tex]
m=[tex]-\frac{7}{4}[/tex]
Let's see the equation of the perpendicular line so far in slope-intercept form:
y=[tex]\frac{-7}{4}x[/tex]+b
We need to find b now
The equation of the line passes through (-6,1), so we can use it to solve for b.
Substitute -6 as x and 1 as y
[tex]1=-\frac{7}{4}*-6+b[/tex]
Now multiply
1=[tex]\frac{42}{4}+b[/tex]
Subtract 42/4 from both sides to isolate b
-19/2=b
Substitute -19/2 as b into the equation
The equation in slope-intercept form y=[tex]\frac{-7}{4}x-\frac{19}{2}[/tex]
Now, here's the equation in point-slope form
Recall that the slope is [tex]\frac{-7}{4}[/tex] , our point is (-6, 1), and point-slope form is [tex]y-y_1=m(x-x_1)[/tex]
Let's label the value of everything to avoid any confusion
[tex]m=-\frac{7}{4} \\x_1=-6\\y_1=1[/tex]
Now substitute those values into the equation
[tex]y-1=-\frac{7}{4}(x--6)[/tex]
We can simplify the x--6 to x+6
[tex]y-1=-\frac{7}{4}(x+6)[/tex]
Hope this helps!
how do i find the length of VN
Answer:
30
Step-by-step explanation:
let the length of VN be x
VNB ~ VMD
VN/VM = BN/DM
x/(30+x) = 12/24
24x=12(30+x)
24x=360+12x
12x=360
x = 30
Can you check if this text is well written?
It's easy but I'm learning French. I appreciate your help.
Bonjour à tous, aujourd'hui je vais répondre à la question "Qui sont vos sportifs préférés ?
Je vais vous décrire ma athlète préféré et vous devriez y prêter attention. À la fin, vous me direz de qui je parle, d'accord ?
Commençons
Question 1 : Quel sport pratique l'athlète ?
Football, basketball o volleyball.
Elle joue au volley-ball
Ma sportive préférée, c'est une joueuse de volley-ball.
Elle est péruvienne et fait partie de l'équipe féminine péruvienne de volley-ball.
Question 2 : Comment est-elle?
Moche, musclée o petite?
Elle est musclée
Elle est brune et musclée.
Elle est grande et mince aussi.
Elle est très belle.
Question 3 : Comment sont ses cheveux
et ses yeux ?
Ses cheveux et ses yeux sont brunes.
Elle a les cheveux brunes et courtes. Elle a les cheveux frisées aussi.
Ses yeux sont brunes comme ses cheveux.
Question 4 : Quel âge a-t-elle ?
Elle a vingt-quatre ans.
Question 5 : Est-elle de petite taille?
Non, elle est grande.
Elle fait 1 mètre 85!
Elle est très grande
Bonsoir,
"Qui sont vos sportifs préférés ?
Je vais vous décrire mon athlète préférée et vous devrez prêter attention. À la fin, vous me direz de qui je parle, d'accord ?
Commençons
Question 1 : Quel sport pratique l'athlète ?
Football, basketball ou volleyball.
Elle joue au volley-ball
Ma sportive préférée, c'est une joueuse de volley-ball.
Elle est péruvienne et fait partie de l'équipe féminine du Pérou de volley-ball.
Question 2 : Comment est-elle?
Moche, musclée ou petite?
Elle est musclée
Elle est brune et musclée.
Elle est grande et mince aussi.
Elle est très belle.
Question 3 : Comment sont ses cheveux
et ses yeux ?
Ses cheveux et ses yeux sont bruns.
Elle a les cheveux bruns , courts et frisés .
Ses yeux sont bruns( on dirait plutôt marron) comme ses cheveux.
Question 4 : Quel âge a-t-elle ?
Elle a vingt-quatre ans.
Question 5 : Est-elle de petite taille?
Non, elle est grande.
Elle fait 1, 85m!
how many degrees are between 50 and 85
Answer:
35 degrees
Step-by-step explanation:
50+35=85
(c) calculate the area of a 2D parallelogram 2.1 3.1
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A sample of 500 U.S. teachers are asked to express their opinions on standardized testing for their students. The population in this study is _______________.
A. all U.S. students
B. standardized tests
C. all U.S. teachers
D. the 500 U.S. teachers
Answer:
Option A
Step-by-step explanation:
Dont let the sample of 500 teachers fool you the 500 teachers opinion is on their students standardized testing experience. In this case the students are the test subjects(population).
can someone please help me with this math thing, i'm being timed and i don't know what else i can do, if someone wants to help just do the Nick one the graph and the Sammy and Mariam one i’ll try to do by myself but please help me
Answer:
Step-by-step explanation:
a. amt. of weeks and hours worked