Answer:
The equation of a line in the slope-intercept form is:
y = 5x - 18
The slope-intercept form of the line equation
where
m is the slope
b is the y-intercept
In our case, we are given
m = 5
Point (4, 2)
now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept
y = mx + b
2 = 5(4) + b
20 + b = 2
subtract 20 from both side
20 + b - 20 = 2 - 20
b = -18
now substituting b = -18 and m = 5 in the slope-intercept form of the line equation
y = mx + b
y = 5x + (-18)
y = 5x - 18
Therefore, the equation of a line in the slope-intercept form is:
y = 5x - 18
Pls mark me as brainliest thank you
Answer:
Step-by-step explanation:
m = 4
y = mx +c
y= 4x + c
Plugin x = 3 and y= 4 in the above equation
4 = 4*3 + c
4 = 12 +c
4 - 12 = c
c = -8
Equation of the line :
y = 4x - 8
PLEASE ANSWER THIS AS FAST AS YOU CAN
Answer:
x = 8 and y = 21
Step-by-step explanation:
3y + 27 = 90 so 3y = 90 -27 which is 63 and to get y you divide 63 by 3 to get 21
Angles on a straight line add up to 180 so 180 = x + 90 + 8x + 18
Then you minus 90 from 180 to get 90 = x + 8x + 18 which simplifies to 90 = 9x + 18
Then you minus 18 from 90to get 72 = 9x
Then divide 72 by 9 to get x = 8
ANSWER ASAP PLEASE!!!!!
What is the domain of the square root function graphed below?
A. x is less than or equal to -1
B. x is greater than or equal to -1
C. x is less than or equal to 0
D. x is greater than or equal to 0
Answer:
Step-by-step explanation:
A. If you need proof message me.
Answer:
D
Step-by-step explanation:
its correct
how do you do vectors
Answer:
i learn and solve them easily they r easy
The sum of two consecutive even integers is 122. What are the two numbers?
Answer:
Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
The numbers are : 60 , 62
Step-by-step explanation:
Let the two consecutive even numbers be 2x , 2x + 2
2x + 2x + 2 = 122
Combine like terms
4x + 2 = 122
Subtract 2 from both sides
4x = 122 - 2
4x = 120
x = 120/4
x = 30
2x = 2*30 = 60
2x + 2 = 2*30 + 2 = 60 + 2 = 62
Class:
ons
Notes/Examples
Parts of an Isosceles Triangle:
• The angle where the legs intersect is called the
• The side opposite the vertex angle is called the
• The angles along the base are called
Answer:
Vertex angle.Base.Base angles.Step-by-step explanation:
Using the Base Angles Theorem to define the terms relating to an isoceles triangle:
The Base Angles Theorem states that if the two sides of a triangle are congruent, then it means that the angles opposite to those sides are also congruent.An isoceles triangle has two congruent sides, referred to as the legs. As the legs of a triangle are slanted, they will intersect at a point known as the vertex angle. The side that is opposite to the vertex angle is the base of the triangle.
Therefore, the following are the missing terms in the given problem:
The angle where the legs intersect is called the vertex angle.The side opposite the vertex angle is called the base.The angles along the base are called base angles.60 divided by the ratio of 7:3
9x^2-(3x+1)(4x-5)+1+6x=0
Answer:
x = -1/3 or x = 6
Step-by-step explanation:
For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.
does anyone know how to do this? find the X,Z,Y
Drag the expressions to order them top to bottom from least to greatest.
Answer:
|-5[tex]\frac{3}{7}[/tex]|
|5[tex]\frac{1}{7}[/tex]|
|-4[tex]\frac{6}{7}[/tex]|
|-4[tex]\frac{3}{7}[/tex]|
|4[tex]\frac{2}{7}[/tex]|
Step-by-step explanation:
absolute value is how far the the number is away from zero, it does not matter if it is negative or positive
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality
on a number line.
Answer:
whats your equation?
Step-by-step explanation:
Ill edit my answer after.
Answer:
Step-by-step explanation: Sorry if im late
There are two numbers the second number is 1 larger than twice the first number. The sum of the reciprocals of the number is 7/10. Find the two numbers.
Let the first no be x
second no=2x+1ATQ
[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]
[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]
On solving we get
[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]
Take it 2First no=2
Second no=5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = 2x + 1 ...1
1/x + 1/y = 7/10 ...2
From equations 1 and 2, then we have
1/x + 1/(2x + 1) = 7/10
10(2x + 1 + x) = 7x(2x + 1)
30x + 10 = 14x² + 7x
14x² - 23x - 10 = 0
14x² - 28x + 5x - 10 = 0
14x(x - 2) + 5(x - 2) = 0
(14x + 5)(x - 2) = 0
x = 2, - 5/14
At x = 2, then the value of y is given as,
y = 2 (2) + 1
y = 5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
B)How fast is the area of the triangle changing 2 minutes later?
Answer: 5 in
Step-by-step explanation: Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in.
In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?
Answer:
Here plz give brainliest not easy to explain in detail like this
Step-by-step explanation:
We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.
We have two points on the graph: (4, 4290) and (8, 3850)
Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:
m = (y2 - y1)/(x2 - x1) Slope formula
m = (3850 - 4290)/(8 - 4) Substitution
m = -440/4 Solve the subtraction problems in the parenthesis
m = -110 Reduce the fraction
Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line. I will use the first point, but either point will produce the same answer.
y - y1 = m(x - x1) Point-slop e formula
y - 4290 = -110(x - 4) Substitution
y - 4290 = -110x + 440 Distribute the -110
y - 4290 + 4290 = -110x + 440 + 4290 Add 4290 to each side
y = -110x + 4730 Simplify
Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.
P(t) = -110t + 4730
To predict the population in 2006, we need to determine the years from 1990 to 2006.
2006 - 1990 = 16
P(16) = -110 (16) + 4730
P(16) = -1760 + 4730
P(16) = 2970
(I’m having trouble with this question, it would be greatly appreciated if I could have some help, thank you)
What is the equation of a line that is parallel to – 2x + 3y = -6 and passes through the point (-2, 0)?
Answer:
y = 2/3x + 4/3
Step-by-step explanation:
you need to know the slope of the line -2x + 3y = -6 because parallel lines have the same slopes
let's put the equation in y=mx+b format (slope-intercept format)
-2x + 3y = -6
add 2x to each side to get:
3y = 2x - 6
divide each side by 3 to get:
y = 2/3x - 2
the equation now shows us the slope is 2/3 and the y-intercept is (0,-2)
now we use y=mx+b again and use the point (-2,0) and the m=2/3 to get the y-intercept ('b' value) of the equation that is parallel:
0 = 2/3(-2) + b
0 = -4/3 + b
b = 4/3
equation would be:
y = 2/3x + 4/3
What is the solution for the system of equations?
y=−x+4y=x−2
Question 1 options:
(1, 3)
(−2, 1)
(3, 1)
(1, −2)
Answer:
(3, 1)
Step-by-step explanation:
y = −x + 4
y = x − 2
-x + 4 = x - 2
4 = 2x - 2
6 = 2x
3 = x
y = (3) − 2
y = 1
Answer:
x = 3 and y = 1
Step-by-step explanation:
A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500. The counselor converts the frequency table to a conditional relative frequency table by column. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0. 12, 0. 88, 1. 0. The third column is labeled lower than 90 with entries 0. 28, 0. 72, 1. 0. The fourth column is labeled total with entries X, Y, 1. 0. What is the value of X? 0. 16 0. 20 0. 24 0. 40.
Answer:
it's 0.24 because if you do 500/120 in the first data table it gives u 0.24 and bc I just took the test
The frequency table is used to find the relative frequency. The value of x is 0.24. Option C is correct.
How to find the relative frequency?Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The given data from the table as follows;
The subgroup count of the column = 120
The total count = 500
Let x be the relative frequency
The relative frequency is found as;
[tex]x = \dfrac{120}{500} \\\\x = 0.24[/tex]
Therefore, the value of x is 0.24. So, Option C is correct.
To learn more about the frequency table;
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I need help on 26 please and thank you
Answer:
your answer is 1.65 or E :)
Find the least common multiple of each set of numbers . 4, 10
4, 8, 12, 20
10, 20
The least common multiple of 4 and 10
I hoped this helped. :)
Rose spent 124 on 10 cars & 4 cats what is the cost for 1 car & 1 cat.
Answer:
$6 per cat, $10 per car
Step-by-step explanation:
I guess and checked my work.
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 4 : 3. Find the number of blue marbles in the bag.
Answer:
9
Step-by-step explanation:
→ Divide the number of red marbles by the ratio of red marbles
12 ÷ 4 = 3
→ Multiply 3 by the ratio of 3
9
In a survey of 2,600 people who owned a certain type of car, 1,820 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
is/of =x/100
i need answers thank you
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 17. find the value of a.
Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:
(2a-1+a+7)/2 = 17
(3a +6)/2 = 17
3a + 6 = 34
3a = 28
a = 9[tex]\frac{1}{3}[/tex]
A group of 169 students needs to be seated in a square formation for a
yearbook photo. Solve the equation N² = 1,024 to find how many students
should be in each row. ASAP
We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-
[tex]r = \sqrt{169} = 13[/tex]
Then, a square of 13 rows and 13 columns will fit the 169 students.
If the number of students is 1024, then the number of rows N can be calculated as :-
[tex] {N}^{2} = 1024[/tex]
[tex]N = \sqrt{1024} [/tex]
[tex]N = 32[/tex]
Final Answer :-169 students will seat in a 13×13 formation.
1024 students will seat in a 32×32 formation (N=32)
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Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?
Answer:
5/6
Step-by-step explanation:
3 hours= 2 1/2 miles
1 hour= 2 1/2 divided by 3
It would take him 5/6 of an hour
Hop this helps!
The ratio of collectible coins Juanita owns to coins that Elia owns is 3:1. Elia has 32 coins. How will the ratio of Juanita’s coins to Elia’s coins change if they both sell one fourth of their coins? Explain.
cody spent 3 hours and 5 minutes looking for his missing cat if he finally found it at 7:35 what time was it when he originally started
Answer:
4:30
Explanation:
Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30
Can anyone help? I don’t know how to do #28
Answer:
enlarge the equilateral triangle and put -2
Step-by-step explanation:
Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also
gave her Skydiving Instructor a tip of $20.
(a) Define the unknown in the scenario and assign it a letter or symbol.
Bob has a piece of wood that is 3/4 inches long. He decides to cut pieces that are 1/8 inches long. How many pieces can Bob cut?
Answer:
Bob can cut 6 pieces
Explanation:
Since he decided to cut pieces that are 1/8 inches long, divide.
> 3/4 ÷ 1/8
To get the answer which is 6