Answer: [tex]y=\dfrac{-1}{2}(x-2)[/tex]
Step-by-step explanation:
The equation of a line passing through points (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Given : The points from which line is passing : (-6,4) and (2,0)
Then , the equation of the line, in point slope form, that passes through (-6,4) and (2,0)will be :-
[tex](y-(0))=\dfrac{4-0}{-6-2}(x-2)\\\\\Rightarrow\y=\dfrac{4}{-8}(x-2)\\\\\Rightarrow\ y=\dfrac{-1}{2}(x-2)[/tex]
evaluate g(x)=3x+1 over the domain of g, {0,1,2,3}. What is the range of g?
Fabian has a savings account balance of $1,374.73. The interest rate on the account is %3.9 compounded twice a year. If he opened the account nine years ago, what was the value of his deposit?
Write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).
The measures of two complementary angles are in the ratio of 5:7. what is the measure of the smaller angle?
Final answer:
To find the measure of the smaller angle with a ratio of 5:7 in two complementary angles, set up an equation based on the sum of 90 degrees, leading to a solution where the smaller angle measures 37.5 degrees.
Explanation:
The question asks to find the measure of the smaller angle when two complementary angles have a ratio of 5:7. To solve this problem, we recall that complementary angles sum up to 90 degrees. Since the angles are in a ratio of 5:7, we can denote the measures of the smaller and larger angles as 5x and 7x, respectively.
By combining these ratios, we have 5x + 7x = 90 degrees, which simplifies to 12x = 90 degrees. Solving for x gives us x = 90 / 12 = 7.5. Therefore, the measure of the smaller angle is 5x = 5 × 7.5 = 37.5 degrees.
What is the midpoint m given p(-1, 2) and q(-2, -4)?
Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash? 2 trucks 3 trucks 4 trucks 5 trucks
Find the measure of an angle whose measure is 60 degrees more than the measure of its complement
Answer:
75⁰
Step-by-step explanation:
Angle = x
Complement = 90 - x
Given:
x = 90 - x + 60
2x = 150
x = 75⁰
five cakes cost £4.00 how much do 7 cost
What is the shape of a parallel cross section of a sphere?
Find two consecutive positive even integers whose product is 168
Find the value of y in the equation
The leg of a right triangle is 3 units and the hypotenuse is 7 units. What is the length, in units, of the other leg of the triangle?
4
Square root of 40
Square root of 58
10
7^2 = 3^2 +x^2
49 = 9 +x^2
x^2 = 49-9 =40
x = square root of 40
Answer:
the square root of 40 is the answer your looking for
Step-by-step explanation:
write 25.784 in expanded form
Plz can I help me with math
Sam packed 42kg of rice into one big bag and 6 small ones which are of the same size. the big bag contained 3/7 of the rice. how many kilograms of rice did each small bag contained?
SOS!!!!!!!!!!!!!!!!!!!!!!
In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.
Answer: The present age of Harry is 2 years and that of Jim is 6 years.
Step-by-step explanation: Given that in 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be.
We are to find the present ages of Harry and Jim.
Let x and y represents the present ages of Harry and Jim respectively.
Then, according to the given information, we have
[tex]x+4=y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y+2=2(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of y from equation (i) in equation (ii), we get
[tex]y+2=2x+4\\\\\Rightarrow x+4+2=2x+4\\\\\Rightarrow 2x-x=2\\\\\Rightarrow x=2.[/tex]
From equation (i), we get
[tex]y=x+4=2+4=6.[/tex]
Thus, the present age of Harry is 2 years and that of Jim is 6 years.
State the missing reasons in this flow proof.
Given: angle 5 = 40, angle 2 = 140.
Prove: a is parallel to b.
Statements:
angle 5 = 40 a. ____________.
angle 2 = 140 b. _____________.
angle 5 and angle 2 are supplementary angles c.________.
Angle 5 and angle 2 are same-side interior angles d._________.
a is a parallel to b e._______
The provided statements are either given information, interpretations from the given diagram or applying rules of geometry such as the definitions of supplementary angles and the Same-Side Interior Angles Theorem.
Explanation:The missing reasons in this geometric proof are as follows:
a. Given: The fact that angle 5 = 40 is simply provided, it's the given information in the question.
b. Given: Similarly, the measurement of angle 2 being 140 is given information.
c. Definition of supplementary angles: Angle 5 and angle 2 are supplementary because the sum of their measure equals 180 (40+140).
d. Interpretation of the diagram: Without a diagram, it's difficult to be precise, but if angle 5 and angle 2 are indicated as same-side interior angles, then this inference comes from interpreting the diagram.
e. Same-Side Interior Angles Theorem: Lastly, if the same-side interior angles are supplementary, then the lines are parallel. This is a rule encapsulated by the same-side interior angles theorem.
Learn more about Geometry Proof here:https://brainly.com/question/29391145
#SPJ3
What is the correct evaluation of 3x2 + 4x - 2y2 + 4y + 5, when x is equal to -1 and y is equal to 5?
The expression 3x^2 + 4x - 2y^2 + 4y + 5 evaluates to -26 when x = -1 and y = 5.
Explanation:The evaluation of the expression 3x2 + 4x - 2y2 + 4y + 5 when x is equal to -1 and y is equal to 5 is calculated by substituting these values into the equation.
First, substitute x = -1 into 3x2 + 4x, which gives 3(-1)2 + 4(-1) = 3 * 1 - 4 = 3 - 4 = -1.Next, substitute y = 5 into -2y2 + 4y, which gives -2(5)2 + 4*5 = -2 * 25 + 20 = -50 + 20 = -30.Add up the results from step 1 and step 2, and include the constant 5 from the original expression to find the final result: -1 - 30 + 5 = -26.Therefore, the correct evaluation of the expression when x = -1 and y = 5 is -26.
In an equilateral triangle, what is the relationship between the length of a side and the perimeter?
Answer:
1:3
If each side is x, the the perimeter is 3x. x/3x = 1/3
Step-by-step explanation:
Terms and coefficients of 7p - 3r + 6 - 5s
The terms and coefficients of the expression 7p - 3r + 6 - 5s are 7p, -3r, 6, and -5s, with coefficients of 7, -3, no coefficient, and -5 respectively.
Explanation:The terms and coefficients of the expression 7p - 3r + 6 - 5s are:
The term 7p has a coefficient of 7.The term -3r has a coefficient of -3.The term 6 is a constant and does not have a coefficient.The term -5s has a coefficient of -5.Learn more about Terms and Coefficients here:https://brainly.com/question/23992956
#SPJ12
sylvie finds the solution to the system of equations by graphing.
y=2/3x+1 and y=-2/3x-1
which graph shows the solution to sylvie’s system of equations?
a) graph 1
b) graph 2
c) graph 3
d) graph 4
Answer:
solution is (-1.5,0)
Graph 3
Step-by-step explanation:
[tex]y=\frac{2}{3}x+1[/tex]and [tex]y=-\frac{2}{3}x-1[/tex]
In the first equation [tex]y=\frac{2}{3}x+1[/tex]
slope = 2/3 and y intercept is 1
Lets start with graphing y intercept +1
then we slope , move 2 units up and 3 units to the right. stop at (3,3)
Now we graph the second equation
[tex]y=-\frac{2}{3}x-1[/tex]
slope = -2/3 and y intercept is -1
Lets start with graphing y intercept -1
then we slope , move 2 units down and 3 units to the right. stop at (3,-3)
both graph intersects at a point (-1.5,0)
answer math question, 50 pts for brainliest
71.75-41 = 30.75
7-4=3
30.75 / 3 =10.25
slope is 10.25
Answer is B
The perimeter of a rectangle is 36 inches, and the area is 65 square inches. find the length and width of the rectangle.
write an equation of the line that passes through the given point(-2,5) and is parallel to the given line 2y=4x-6
The sum of a number and its reciprocal is 13/6. find the number
Using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)? 2x2 + 4x + 6 2x2 − 4x + 6 2x2 + 4x − 6 2x2 + 4x − 6 + 1 over the quantity of x minus 2
The answer to your question would be 2x^2+4x+6
Answer:
[tex]\text{The quotient is }2x^2+4x+6[/tex]
Step-by-step explanation:
Given the dividend and divisor we have to find the remainder using synthetic division.
The given polynomial [tex]2x^3-2x-12[/tex] is divided by (x-2).
Step 1: Set up the synthetic division.
The dividend goes on the inside of the box.
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c i.e 2 by the value just written on the bottom row.
Step 4: Add the column created in step 3 and write the sum in the bottom row.
Repeat steps 1-4 until the last column.
From the last row the remainder becomes
[tex]2x^2+4x+6[/tex]
Hence, option A is correct.
What equation is graphed in this figure?
A.y-4=-1/3(x+2)
B.y-3=1/3(x+1)
C.y+2=-3(x-1)
D.y-5=3(x-1)
MATH HELP PLEASE !!!!!!!!!
3.14 *2r = 157
divide both sides by 3.14
2r = 157/3.14 =50
2r=50
divide both sides by 2
r = 50/2 =25
r = 25
You eat 3/10 of a pack of hotdogs, your friend eats 1/5 of the pack of hotdogs. what fraction of the hotdogs did you and your friend eat?