Answer:
The equation of line is: [tex]\mathbf{4x-3y=-18}[/tex]
Step-by-step explanation:
We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?
The equation of line in slope-intercept form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=-6,y_1=-2, x_2=-3, y_2=2[/tex]
Putting values and finding slope
[tex]Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}[/tex]
So, we get slope: [tex]m=\frac{4}{3}[/tex]
Finding y-intercept
Using point (-6,-2) and slope [tex]m=\frac{4}{3}[/tex] we can find y-intercept
[tex]y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6[/tex]
So, we get y-intercept b= 6
Equation of required line
The equation of required line having slope [tex]m=\frac{4}{3}[/tex] and y-intercept b = 6 is
[tex]y=mx+b\\y=\frac{4}{3}x+6[/tex]
Now transforming in fully reduced form:
[tex]y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18[/tex]
So, the equation of line is: [tex]\mathbf{4x-3y=-18}[/tex]
Which pair shows equivalent expressions?
Help quick please!
Answer:
i think A
Step-by-step explanation:
Three people take 90 minutes to water a garden. How many minutes would six people take?
Answer:
45
Step-by-step explanation:
it will take 45 minutes for 6 people to water a garden
Answer:GIVEN
Three people take 90 minutes to water a garden.
TO DETERMINE
The time (minutes) taken by six people to complete the work
EVALUATION
SOLVE USING RULES OF THREE
Now if the Number of people increases then the time take taken will decreases
Here the number of people and Time taken are in inverse proportion
So the time required
FINAL ANSWER
The required time = 45 minutes
Step-by-step explanation:
If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?
Step-by-step explanation:
Given: Radius , r =21 cm
The angle at the center of the circle, n° =140°
Length of an arc =?
W.K.T Formula, Length of an arc = 2πr( n°÷360°) units
= 2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Answer:
2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Step-by-step explanation:
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.
Answer:62% Step-by-step explanation:
What is the y-intercept of the line?
It crosses the y axis at 4... it is 4 :)
Answer:
a. (0, 4)
General Formulas and Concepts:
Algebra I
The 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:
According to the graph, the line crosses the y-axis at y = 4. Therefore, our y-intercept is 4. Writing it in coordinate point would be (0, 4), as definition of the y-int.
a baseball player got 13 hits in 50 times at bat. what percent of her times at bat did she get a hit
Answer:
26%
Step-by-step explanation:
Identify the GCF of 36 and 24
6
12
2
8
Answer:
12...you already figured it out but alr
Step-by-step explanation:
There are 42 boys and 48 girls in sixth grade and each student must be assigned a home room. Each homeroom should have the same number of boys and the same number of girls.
what is thegreatest possible number of sixth grade students?
Answer:
50
Step-by-step explanation:
you add 42 and 48 i think
4. After taking 20% off the original price, Amber paid $35 for her dress. What was the original price? A. $63.75 B. $54.25 O C. $49.50 D. $43.75
Answer: D. $43.75
Step-by-step explanation:
I need help again again
Answer:
12.34
Step-by-step explanation:
Answer:
12.34
Step-by-step explanation:
since its out of 100, it would be 12.34
Which algebraic expression is equivalent to the expression below?
--------------------------
(4n + 14) + (6 + 7n)
--------------------------
A. 24n + 7
B. 10n + 21
C. 18n + 13
D. 11n + 20
Answer:
D
Step-by-step explanation:
Combine like terms 4n can only be added with 7n and 14 can only be added to 6
Answer:
11n + 20
Step-by-step explanation:
Because all of the signs are + , the parentheses can be removed.
Next, combine like terms:
4n + 14 + 6 + 7n = 11n + 20
None of the three given possible answers is correct.
Juan pago $50.00 pesos por 3 cajas de paquetes y 5 cajas de clavos, mientras que Pedro compró 5 cajas de taquetes y 7 cajas de clavos y tuvo que pagar $ 74.00 pesos . ¿ Cual es el precio de cada caja de taquetes y clavos ?
a) ¿ Cuantas incógnitas hay en el problema ?
b) ¿ Cuántas ecuaciones puedes construir según el texto?
c) ¿ Cuales son esas ecuaciones?
Need help Pronto! Will give braintliest.
Answer:
2
Step-by-step explanation:
I did my work here, and can u pls answer my recent question
100 points! hard problem!
Answer:never gonna give you up
Step-by-step explanation:by rick astley
"you wouldnt get this from any other guy and i just wanna ask you how your feeling, gotta make you underatnd, never gonna give you up, never gonna let you down."
nEvEr gOnnA giVe U uP
What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3
Answer:
Step-by-step explanation:
the formula for Volume of the sphere is
V=4/3 * π*r^3
diameter =4, r=2
V=4/3 * 3.14 * 8=33.49
Choose all that apply!!
Answer:
B and D. I think
A .14kg baseball is dropped from rest. It has a momentum of .78kg x m/s just before it lands on the ground. For what amount of time was the ball in the air?
Answer
what r the options? a b c d?????
i wuld say it is 2.5
Step-by-step explanation:
The age of a car and the value of the car
O Positive Correlation
O Negative correlation
Sue bought 7 notebooks for $8.75. Jolie bought 4 notebooks for $5.08. Who got the better bargain? By how much?
Answer:
235
Step-by-step explanation:
Answer:
sue.
Step-by-step explanation:
sue paid 1.25 per book while Joliet paid 1.27. hope that helps
find the distance between (9,3) and (5,-3) in simplest radical form
Answer:
[tex]d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 3)
Point (5, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(5-9)^2+(-3-3)^2}[/tex]Subtract: [tex]d = \sqrt{(-4)^2+(-6)^2}[/tex]Exponents: [tex]d = \sqrt{16+36}[/tex]Add: [tex]d = \sqrt{52}[/tex]Simplify: [tex]d = 2\sqrt{13}[/tex]What is the best name of the line?
plz help me on this final i beg of u!!!
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
Its asking for how long did she watch for both videos.
[tex] \frac{3}{8} + \frac{1}{8} = \frac{4}{8} [/tex]
4/8 is half. so simplest form would be
[tex] \frac{1}{2} [/tex]
Answer:
1/2 minutes
Step-by-step explanation:
you add the two fractions together and because they have a common denominator you just add across.
1/8+3/8=4/8
now we simplify
the numerator and denominator can both be divided by 4.
4÷4=1
8÷4=2
1/2
What is the domain of the relation shown?
will mark as branliest
Answer:
2 or 4
Step-by-step explanation:
If I say I’m sick on Tuesday at 8pm and they say I have 72 hours till I can work again and I work at 12 am what time and what day will I work on?
Answer:
Saturday
Step-by-step explanation:
I think
What is the slope of the line that passes through the points (-3, -9)(−3,−9) and (22, -4) ?(22,−4)? Write your answer in simplest form.
Answer:
1/5
Step-by-step explanation:
Equation: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Points: (-3, -9) and (22, -4)
[tex]y_{2}[/tex] is the second y point that shows up on the question, basically go by order. So it's -4
[tex]y_{1}[/tex] is -9, because again, in order of which coordinates pop-up first in the question
[tex]x_{2}[/tex] is 22, [tex]x_{1}[/tex] is -3
Now input into the equation, to make it easier we'll split the fraction into 2 equations:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] = [tex]y_{2} - y_{1}[/tex] and [tex]x_{2} - x_{1}[/tex], we'll put them back in a fraction later
[tex]y_{2} - y_{1}[/tex] = -4 - (-9) = -4 + 9 = 5
[tex]x_{2} - x_{1}[/tex] = 22 - (-3) = 22 + 3 = 25
now put it in the fraction, remember y on top x on the bottom:
5/25, simplify, 1/5
What is the domain of the given function?
{x | x = –6, –1, 0, 3}
{y | y = –7, –2, 1, 9}
{x | x = –7, –6, –2, –1, 0, 1, 3, 9}
{y | y = –7, –6, –2, –1, 0, 1, 3, 9}
Answer:
{x | x = –6, –1, 0, 3}
Step-by-step explanation:
doin the test rn
What is the length of the unknown leg in the right triangle
Answer:
i think it might be 15m
Step-by-step explanation:
what is the solution of sqaure root -4x = 100
Answer:
I’m pretty sure it’s -2500
Step-by-step explanation:
Answer:
I think it would be x = -2500
Step-by-step explanation:
You square both sides to get rid of the square root and get -4x = 10000 then divide 10000 by -4 to get -2500
A table is 600 inches long. How long is the table in feet?
Answer:
50 ft
Step-by-step explanation:
Answer: 50
Step-by-step explanation: there are 12 inches in a feet. 600 inches/ 12 feet= 50
The three angles of a triangle have
measures of 56°, (2x + 4)º, and xº
What are the measures of the three
angles of the triangle? (TEK 8.8D)
A. 56°, 80°, 44°
B. 56°, 90°, 34°
C. 56°, 84°, 40°
D. 56°, 60°, 64°
Answer:
56°, 84°, 40°
Step-by-step explanation:
The three angles of triangles have measures of 56°, (2x + 4)º, and xº.
We need to find the measures of the three angles of the triangle.
We know that, the sum of angles of triangle is equal to 180º. Using this property we get :
56°+ (2x + 4)º + xº =180º
Solving for x.
60 + 3x = 180
3x = 120
x = 40º
Other angle, = 2x+4
= 2(40)+4
= 80+4
= 84º
So, the measures of the three angles of the triangle are 56°, 84°, 40°. Hence, the correct option is (c).
