Answer:
2 and 4
Step-by-step explanation:
To find the answer to "What two numbers have a product of 8 and a sum of 6?" we first state what we know. We are looking for x and y and we know that x • y = 8 and x + y = 6.
Before we keep going, it is important to know that x • y is the same as y • x and x + y is the same as y + x. The two variables are interchangeable. Which means that when we create one equation to solve the problem, we will have two answers.
To solve the problem, we take x + y = 6 and solve it for y to get y = 6 - x. Then, we replace y in x • y = 8 with 6 - x to get this:
x • (6 - x) = 8
Like we said above, the x and y are interchangeable, therefore the x in the equation above could also be y. The bottom line is that when we solved the equation we got two answers which are the two numbers that have a product of 8 and a sum of 6. The numbers are:
2
4
Answer: 2 and 4
Step-by-step explanation:
2+4=6
2*4=8
Hope this helps!
WILL PAY 40 POINTS AND BRAINLIEST!!!!
A line goes through the points (-3 1) and (-2 4)
(a) What is the slope of the line? Show your work.
(b) Write the equation of the line in point-slope form. Show your work.
(c) Write the equation of the line in slope-intercept form. Show your work.
Answer:
Part A)
The slope is 3.
Part B)
[tex]\displaystyle y-1=3(x+3)[/tex]
Part C)
[tex]\displaystyle y=3x+10[/tex]
Step-by-step explanation:
We know that the line goes through the points (-3, 1) and (-2, 4).
Part A)
To find the slope of a line given two points, we can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are our two points.
So, let’s let (-3, 1) be (x₁, y₁) and let (-2, 4) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{4-1}{-2-(-3)}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{3}{-2+3}=\frac{3}{1}=3[/tex]
Hence, the slope of our line is 3.
Part B)
Point-slope form is given by:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
Where m is our slope and (x₁, y₁) is a point.
So, let’s substitute 3 for m.
For our point, we can use either of the two given. Let’s use (-3, 1) for consistency. So, let (-3, 1) be (x₁, y₁). Therefore:
[tex]\displaystyle y-1=3(x-(-3))[/tex]
Simplify. Hence, our point-slope form is:
[tex]\displaystyle y-1=3(x+3)[/tex]
Part C)
To rewrite into slope-intercept form, we can just solve for y from our point-slope form. So, we have:
[tex]\displaystyle y-1=3(x+3)[/tex]
Distribute on the right:
[tex]\displaystyle y-1=3x+9[/tex]
Add 1 to boths sides. So, our slope-intercept equation is:
[tex]\displaystyle y=3x+10[/tex]
PLEASE HELP ILL MARK BRAINLIEST
Answer:
A, C, D, and E
Step-by-step explanation:
According to following triangle, the choices that explains that [tex]\triangle DBC[/tex] is isosceles, are:
-[tex]\overline {AB}[/tex] is an angle bisector of [tex]DAC[/tex]. (Choice A)
-[tex]\angle BDC[/tex] is congruent to [tex]\angle BCD[/tex]. (Choice C)
-[tex]\angle ABD[/tex] is congruent to [tex]\angle ABC[/tex]. (Choice D)
[tex]\angle DAB[/tex] is congruent to [tex]\angle CAB[/tex] (Choice E)
2x+y =8 and y=x-7 solve by substitution
Answer:
you can do this by this please vote also
Using distributive property to write an expression that is equivalent to 8(a+4)
Answer:
8a+32
Step-by-step explanation:
8(a+4)= 8a+32
Hope helps :D
Answer: 8a+32.
Step-by-step explanation:
Determine whether the ordered pair (-5,36) is a solution to the equation 2x- y/2 = -8
Can someone please solve this before I get my phone taken away?
Answer:
option 1 or should be
Step-by-step explanation:
4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah
I worked on the project until it was completed.
Identify the subordinate clause in the complex sentence.
I worked on the project
on the project
it was completed
until it was completed
Answer:
until is was completed
Step-by-step explanation:
d on edgnuity
Find an equation of a line containing the point (-6,3) and has slope
- 1/3
Answer: y=-1/3x+1
Step-by-step explanation:
To find an equation that contains the given point and has the same slope, we can plug it into slope-intercept form to find the y-intercept.
3=-1/3(-6)+b [multiply]
3=2+b [subtract both sides by 2]
b=1
Now that we know the y-intercept, we know that the equation is y=-1/3x+1.
Which equation has no solution?
Answer:
C.Step-by-step explanation:
C.
5/8x + 25 = 3/8x + 15 + 1/4x5/8x + 10 = 3/8x + 2/8x5/8x + 10 = 5/8x10 = 0HURRY I NEED HELP: Write an equation in point-slope form of the line that passes through the point (3, 5) and has a slope of m=−1.
Answer:
[tex] \huge y - 5 = - 1(x - 3) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have the final answer as
[tex]y - 5 = - 1(x - 3)[/tex]
Hope this helps you
I am unable to understand how to solve this question, please send the working out.
Answer:
[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]
Step-by-step explanation:
Al sumar su doble, su mitad y 15 se obtiene 99.
Answer:x = numero
2x= doble
x/2= mitad
sumamos todo : x+2x+x/2+15=99
7x/2= 99-15
7x= 84(2)
x=168/7
x=24
comprueba sumando 24+48+12+15=99 suerte!!!
Step-by-step explanation:
The value of the unknown number is 33.6
Let the unknown number be "x"
The half of the number is 0.5x
Double of the number is expressed as 2x
Adding this functions together and 15 and equating to 99 will give;
0.5x + 2x + 15 =99
Solve for x
2.5x = 99 - 15
2.5x = 84
x = 84/2.5
x = 33.6
Hence the value of the unknown number is 33.6
Learn more here: https://brainly.com/question/16510024
6. A graph with a
slope decreases from left to right.
Answer:
A graph with a slope that decreases from left to right is negative. This slope would mean as x approaches +infinity y would approach -infinity and vice versa. So as x increased y would decrease and as x decreased y would increase. This is called an inverse relationship because the values change in opposite ways.
What is the mZACB?
O 10°
B
O 50°
(4x)
O 90°
O 180°
(7x-20)
C
Answer:
50 degrees
Step-by-step explanation:
The total sum of angles in a triangle is 180, thus the value of ∠ACB will be obtained as follows:
Given that the triangle is a right triangle, the sum of angles will be:
(4x)°+(7x-20)°+90=180
simplifying and solving for x we get:
4x+7x-20+90=180
11x=180+20-90
11x=110
dividing both sides by 11 we get:
(11x)/11=110/11
this gives us
x=10°
Thus substituting the value of x in:
∠ACB=(7x-20)°
=(7*10-20)
=70-20
=50°
Answer: 50°
3 (+ y) + 2x² + (1 + y)²
Answer:
2x2+y2+5y+1
Step-by-step explanation:
3y+2x2+(1+y)2
Distribute:
=3y+2x2+y2+2y+1
Combine Like Terms:
=3y+2x2+y2+2y+1
=(2x2)+(y2)+(3y+2y)+(1)
=2x2+y2+5y+1
Instantaneous vs Average Rate of change
PLEASE AND THANKSSS:))
·Has to be a number
Answer:
x=-4
Step-by-step explanation:
A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?
Answer:
4x+12
Step-by-step explanation:
A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?
(5+2x)+(7+2x)
The perimeter would be 4x+12
Hope I helped!
Please mark Brainliest!!!
Answer:
The answer is A. 4x+12
Step-by-step explanation:
Just took the test on edge 2020 :D
If u understand this May u help me please
Answer:
Sure what you need help with?
Step-by-step explanation:
What is the slope of the line with the points (3,5) and (6,4)
Answer:
The slope is -1/3
Step-by-step explanation:
(y2-y1)/(x2-x1)
(4-5)/(6-3)
-1/3
Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)
Answer:
the X - intercept is (-7,0)
the Y - intercept is (0,2)
Step-by-step explanation:
the Y intercept is where the line crosses the Y axis
the X intercept is where the line crosses the X axis
Hope this helps
Solve.
24 + d = 30
d =
Answer:
I think d = 6 because 24 + 6 = 30
Answer:
d=6
Step-by-step explanation:
Where do I place each of them?
Answer: in their slots right below them
Step-by-step explanation:
Find the difference between 8/10 and -2 Show all calculations in your final answer.
in math class , the girl to boy ratio is 8 to 6 . If there are 24 girls in the class , how many boys are there
Answer:
22 boys are in the class
Answer:
18 boys
Step-by-step explanation:
Girls: 24
Boys: ?
Ratio: 8:6
24 divided by three is 8
So 6 x 3 is 18
plz consider giving me brainliest =)
In a survey of 1,800 people who owned a certain type of car, 990 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
55%
Step-by-step explanation:
can anyone help me please heheh
Answer:
sqrt160
Step-by-step explanation:
Events A and B are disjointed. P(A) = 3/10; P(B) =2/5 . Find P(A or B). 1/3 7/10 1/10 9/10
Answer:
7/10Step-by-step explanation:
Given
P(A) = 3/10P(B) = 2/5To find
P(A or B)Solution
P(A or B) = P(A) + P(B)P(A or B) = 3/10 + 2/5 = 3/10 + 4/10 = 7/10Answer:
7/10
Step-by-step explanation:
^
Which expression is equivalent to (2x^2+3x-4)-(x^2-2x+4)
Answer:
3x + 2 = 14
Step-by-step explanation:
HELP PLZ can someone simplify this equation
7n² + 48n + 42
Combine like terms, -8n x -6n= 48n
-6 x -7= 42
Answer:
-49n^3 -n²+92n+42
Step-by-step explanation:
(7n²-8n-6)(-6n-7)
-42n^3-49n²+48n²+56n+36n+42
-49n^3 -n²+92n+42