Answer: 11 degrees
Step-by-step explanation:
An office manager buys 34 chairs for the new office. Each chair costs $205. What is the total amount the office manager pays for chairs? Enter your answer in the box. $_____________
Answer:
so each chair will cost 205
205 will be our cost C this is our dependent due to the entire cost being base on how many chairs that will get order
the independent variable will be how many chairs that will be ordered and there are 34 chairs being ordered
34*205= 6970
the total cost will be 6970
HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).
Answer:
Y=3x+12 (its the first option)
Step-by-step explanation:
I did the assignment.
The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.
Given :
The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):
Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
Step 2 - The one-point form is given below:
[tex](y-y_1) = m (x-x_1)[/tex]
Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.
Step 4 - Now, substitute the values of slope and the point in the above expression.
[tex](y+3) = 3 (x+5)[/tex]
y = 3x + 2
For more information, refer to the link given below:
https://brainly.com/question/19300779
Given ac is perpendicular to cb and cx is perpendicular to ab, prove angle 2 is congruent to angle 3.
Answer:
Step-by-step explanation:
Given in the question,
AC ⊥ BC and CX ⊥ AB
m∠ACB = 90°
m∠ACX = 90° - m∠3
Now by applying the property of interior angle of triangle,
m∠CAX + m∠CXA + m∠ACX = 180°
m∠2 + 90° + (90°- m∠3) = 180°
m∠2 + 180° - m∠3 = 180°
m∠2 - m∠3 = 0
m∠2 = m∠3
Therefore, m∠2 ≅ m∠3.
Apply the distributive property to create an equivalent expression. (4b + 2e + 3) 3 =
Answer:
12b+6e+9
Step-by-step explanation:
You multiply 3 with every number inside the parentheses.
(3x4b)=12b
(3x2e)=6e
(3x3)=9
Find the equation of the line . Write in slope intercept form and in standard form. (SHOW YOUR SOLUTION)
1. m = -5, b=1
2. ( 1, -2), (3, 3)
3. (-2, 0) and (0, 5)
4. a = 2, b = -7
5, m = 2, (3, -1)
Answer:
1) The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.
2) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].
3) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].
4) The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.
5) The slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex]. The standard form of the line is [tex]-2\cdot x +y = -7[/tex].
Step-by-step explanation:
From Analytical Geometry we know that the slope-intercept form of the line is represented by:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the standard form of the line is represented by the following model:
[tex]a\cdot x + b \cdot y = c[/tex] (2)
Where [tex]a[/tex], [tex]b[/tex] are constant coefficients, dimensionless.
Now we process to resolve each problem:
1) If we know that [tex]m = -5[/tex] and [tex]b = 1[/tex], then we know that the slope-intercept form of the line is:
[tex]y = -5\cdot x + 1[/tex] (3)
And the standard form is found after some algebraic handling:
[tex]5\cdot x +y = 1[/tex] (4)
The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.
2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(1,-2)[/tex] and [tex](x_{2},y_{2}) = (3,3)[/tex], then we construct the following system of linear equations:
[tex]m+b= -2[/tex] (5)
[tex]3\cdot m +b = 3[/tex] (6)
The solution of the system is:
[tex]m = \frac{5}{2}[/tex], [tex]b = -\frac{9}{2}[/tex]
The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex].
And the standard form is found after some algebraic handling:
[tex]-\frac{5}{2}\cdot x +y = -\frac{9}{2}[/tex]
[tex]-5\cdot x +2\cdot y = -9[/tex] (7)
The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].
3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(-2,0)[/tex] and [tex](x_{2},y_{2}) = (0,5)[/tex], then we construct the following system of linear equations:
[tex]-2\cdot m +b = 0[/tex] (8)
[tex]b = 5[/tex] (9)
The solution of the system is:
[tex]m =\frac{5}{2}[/tex], [tex]b = 5[/tex]
The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex].
And the standard form is found after some algebraic handling:
[tex]-\frac{5}{2}\cdot x+y =5[/tex]
[tex]-5\cdot x +2\cdot y = 10[/tex] (10)
The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].
4) If we know that [tex]a = 2[/tex] and [tex]b = -7[/tex], then the standard form of the family of lines is:
[tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex]
And the standard form is found after some algebraic handling:
[tex]-7\cdot y = -2\cdot x +c[/tex]
[tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex], [tex]\forall \,c\in\mathbb{R}[/tex] (11)
The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.
5) If we know that [tex](x,y) = (3,-1)[/tex] and [tex]m = 2[/tex], then the y-intercept of the line is:
[tex]3\cdot 2 + b = -1[/tex]
[tex]b = -7[/tex]
Then, the slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex].
And the standard form is found after some algebraic handling:
[tex]-2\cdot x +y = -7[/tex] (12)
The standard form of the line is [tex]-2\cdot x +y = -7[/tex].
What is the solution set for
3x 2 + 48 = 0 ?
O {6.9, -6.9}
O {4, -4}
O {21, -21]
O {41 , -4; }
Answer:
{ 4i, - 4i }
Step-by-step explanation:
Given
3x² + 48 = 0 ( subtract 48 from both sides )
3x² = - 48 ( divide both sides by 3 )
x² = - 16 ( take the square root of both sides )
x = ± [tex]\sqrt{-16}[/tex] = ± 4i
solution set is { - 4i, 4i }
Please answer correctly !!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
∠3, it is quite clear
Step-by-step explanation:
Can someone help PLEASEE???
Answer:
44%
Step-by-step explanation:
There are a total of 25 tiles. 11 of them are shaded. To solve this divide 11/25*100. This equals 44%.
Match the vocabulary word with the correct definition.
Answer:
1. right triangle - a triangle with one angle that measures 90 degrees
2.radius- a line segment from the center of a circle to any point on the circle
3. ray- a part of a line that has 1 endpoint that goes in one direction forever
4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same
5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure
6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure
Step-by-step explanation:
HELP ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line passing through the given points using the slope formula. Enter the slope in
simplest form. Describe the slope as positive, negative, zero, or undefined.
(-5. 19) and (-1,7)
Answer:
[tex]m=-3[/tex]
The slope is negative.
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 19)
Point (-1, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-19}{-1-(-5)}[/tex]Simplify: [tex]m=\frac{7-19}{-1+5}[/tex]Subtract/Add: [tex]m=\frac{-12}{4}[/tex]Divide: [tex]m=-3[/tex]For a class of students, the association between GPA and SAT math score is roughly linear. The
equation of the least-squares regression line relating y=SAT math score to x = GPA is û = 410.54 + 67.3x. Predict the SAT math score for Jessica, who has a 3.00 GPA.
Answer:
612.44
Step-by-step explanation:
Given the linear regression equation between SAT score and GPA
y = 410.54 + 67.3x
Where
y = SAT math score ; x = GPA
THE SAT math score for Jessica who has a GPA of 3.00
x = 3
y = 410.54 + 67.3(3)
y = 410.54 + 201.9
y = 612.44
Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!
Answer:
22km= 2 hours and 45 mins
To find speed: Distance/Time
22/2.75 = 8
Your answer 8km/h
Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!
Please help me with this one please, I've been having trouble figuring this one out.
Answer:
y = - 2x - 1
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (2, - 3)
m = [tex]\frac{-3-5}{2+2}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2
The line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = - 2x - 1 ← equation of line
when have I ever done this leave me alone please
Answer:
zusvhzbzhz
Step-by-step explanation:
zuzuch bzhzhs bu sizhshsuhsnd uh s gsv sjizhs
Answer:
ok I will leave u alone
Step-by-step explanation:
(•ө•)♡
Find three consecutive integers such that if the third is subtracted from six times the sum of the first and second, the result is 452 more than twice the second.
Answer:
The numbers are 50, 51, and 52.
Step-by-step explanation:
The consecutive integers are (x-1), x, and (x+1).
6*(x-1+x)-(x+1)=452+2x
6x-6+6x-x-1=452+2x
9x = 459
x=51
The numbers are 50, 51, and 52.
A line has a slope of 2 and a y-intercept of -5. What is its equation in slope-intercept form?
Answer:
y=2x-5
Step-by-step explanation:
Help me plzzzzz
A cyclist rides her bike at a speed of 9 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 10 minutes? Do not round your answers.
Answer:
per minute: 0.15 km
in 10 minutes: 1.5
Step-by-step explanation:
there are 60 minutes in an hour. we need to find the constant rate of change (is that the name sorry). so 9/60 is 0.15. now we know she goes 0.15 km per minute. then do 10 times 0.15 since 10 minutes. you get 1.5. now we know.
8x + 8 = 180 help me please
Answer:
Step-by-step explanation:
8x=180-8
8x=172
8x/8=172/8
x=21.5
Answer:
43/2
Step-by-step explanation:
Move Constant to the left
8x+8=180
calculate
8x=180-8
divide bothsides
8x=172
Answer
z=43/2
The punch layout for a piece of 12 gage sheet metal is as shown. What is the area of the cross hatched center "star" shape ? Show all calculations! circle radius 1 foot Not drawn to scale I
Answer:
.86 square feet.
Step-by-step explanation:
Directions
You have to do this by following directions.
1, Go one circle to your right. Make it the top circle.
2, Drop a perpendicular from the circle you've just been directed to.
3. Draw until you hit the center of the circle below the circle you started your line from. You should get a square.
Find the area of the square.
Each side of the square is 2 feet. You get that because the side of the square = 2 radii -- one radii from the two circles in the center.
Area Square = s^2
Area Square = 2 * 2
Area Square = 4
Find the are of the circles
The 4 central circles that are touching (2 to the left and 2 to the right) are each are 1/4 of a full circle. 4 * 1/4 circle Area = 1 full circle.
Area = pi * r^2 = 3.14 * 1^2 = 3.14
Find the area of the star
Area of the star = area of square - area of circle.
Area of the star = 4 - 3.14
Area of the star = .86 sqr feet
Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
A. (9, 6)
B. (–1, –5)
C. (1, –8)
D. (3, 2)
Answer:c
Step-by-step explanation:
Pls help ASAP
only answer 4, 7, and 10 please
Answer:
q4: ΔGHJ≡ΔARE by ASA
q7: ΔABC≡ΔILH by SSS
q10: ΔABC≡ΔKPG by AAS
Step-by-step explanation:
q4: ΔGHJ≡ΔARE by ASA
q7: ΔABC≡ΔILH by SSS
q10: ΔABC≡ΔKPG by AAS
What is the percent of change from 4 to 1?
Answer:
1 is 25% of 4, so 75% decrease
Step-by-step explanation:
Word problem: A High School had a musical in which students ($5 tickets) and adults ($7 tickets) attended. If a total of 47 tickets were sold and they made a total of $269. How many student tickets were sold and how many adult tickets were sold?
Answer:
30 of them were students
17 were adults
Step-by-step explanation:
bunny and rabbit problems
if they were all adults
7 x 47 = 329
329 - 269 = 60
60/ (7-5) = 30
30 of them were students
17 were adults
Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.
Answer:
678
678 is even, so it's divisible by 2
6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3
Since 678 is divisible by both 2 and 3, it has to be divisible by 6
Step-by-step explanation:
Your cell phone plan costs $34.99 per month plus $0.15 for each text message you send or receive. You have at most $40 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?
Answer:
33 texts
Step-by-step explanation:
34.99+0.15(t)=40
lets say t is number of texts
subtract 34.99 from both sides
0.15(t)=$5.01
divide 5.01 by .15
33.4
but you cant send .4 of a text
so 33 texts
A company makes 130 bags.
49 of the bags have buttons but no zips.
32 of the bags have zips but no buttons.
39 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
130-49 = 81
Answer 81/130
The probability that the bag has buttons is 0.38.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, a company makes 130 bags.
Here, the number of favorable outcomes = 49 and the total number of outcomes =130
Now, probability of an event = 49/130
= 0.38
Therefore, the probability that the bag has buttons is 0.38.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ3
whats the slope of (-1,4) and (-2,5)
Answer:
the slope is -1
Step-by-step explanation:
rise over run
hduuw8sisihaisiswkjznaswiqqlnaa
Answer:
whats ur question?
Step-by-step explanation:
Answer:
I don't understand
Step-by-step explanation:
Sorry, I cannot help
-2/3d -1/4d= -22 for d
Please help I am dumb!!
Answer:
ok so the answer is d = 24
Step-by-step explanation:
happy to hellp!
Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)
Answer:
The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.
But let's be more complete:
Let's find the equations for each line:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
1) Here the points are (2,2) and (4,5)
then the slope is:
a = (5 - 2)/(4 - 2) = 3/2
y = (3/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)
2 = (3/2)*2 + b
2 = 3 + b
2 - 3 = b
-1 = b
y = (3/2)*x - 1
2) Here the points are (0,1/2) and (2,3/2)
then the slope is:
a = (3/2 - 1/2)/(2 - 0) = 1/2
y = (1/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)
1/2 = (1/2)*0 + b
1/2 = b
y = (1/2)*x + 1/2
3) Here the points are (-1,2) and (5,0)
then the slope is:
a = (0 - 2)/(5 + 1) = -1/3
y = (-1/3)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)
2 = (-1/3)*-1 + b
2 = 1/3 + b
2 - 1/3 = b
5/3 = b
y = (-1/3)*x + 5/3
4) Here the points are (-5,-3) and (-3,5)
then the slope is:
a = (5 + 3)/(-3 + 5) = -4
y = -4*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)
5 = -4*-3 + b
5 = 12 + b
5 - 12 = b
-7 = b
y = -4*x - 7
Now that we have all the equations, we can find the graphs.
where the colors are:
(4) green
(3) orange
(2) Blue
(1) Gray.