Answer:
Step-by-step explanation:
The 2 lines are y=2x+12 (slope of 2 y-intercept at 12) and y=26 (line at y=26).
intersection= (7,26)
11. Find the H.C.F of 96 and 120.
Answer:
24.
Step-by-step explanation:
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Then the greatest common factor is 24.
A line is perpendicular to x + 3y - 4 = 0 and has the same y-intercept as 2x + 5y - 20 = 0. Find the equation for the line.
This is equivalent to y = 3x+4 (slope intercept form)
By "standard form", I mean the form Ax+By+C = 0.
====================================================
Explanation:
Let's solve the first equation for y
x+3y-4 = 0
x+3y = 4
3y = 4-x
3y = -x+4
y = (-x+4)/3
y = (-x/3) + (4/3)
y = (-1/3)x + (4/3)
The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.
Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.
So this mystery perpendicular line we're after has a slope of 3.
It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.
2x+5y-20 = 0
2(0)+5y-20 = 0
5y-20 = 0
5y = 20
y = 50/5
y = 4
The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.
-------------------------------------
We found that:
m = 3 is the slope of the perpendicular lineb = 4 is the y intercept of the perpendicular lineSo we know that,
y = mx+b
y = 3x+4
is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well
y = 3x+4
y-3x = 4
-3x+y = 4 .... one way to express standard form
-3x+y-4 = 0 .... another standard form
Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 63 manufacturing companies located in the Southwest. The mean expense is $50.63 million and the standard deviation is $11.48 million. Is it reasonable to conclude the sample data are from a population that follows a normal probability distribution?
Answer:hi
Step-by-step explanation:
Hi
helpppppppp plzzzzzzzzzzzzzzzzzzzz
Answer:
14 sq units
Step-by-step explanation:
2 units by 7 units is 14 square units
Need help fast pleasee??
Answer:
Option 3.) f(-3) = g(-3), since that x-value of the point of intersection
Hope this helps!
HELPPP PLSSS ITS DUE TOMORROW
Show your work. a2 + b2 = c2
c is the side length of the hypotenuse. c2 is the hypotenuse side length multiplied by itself. You need to find the square root of the c2 value in order to solve for c.
We'll be using the Pythagoras property to solve this question.
According to the Pythagoras property,
H² = B² + P²H denotes hypotenuse
B denotes base
P denotes perpendicular
Here,
H = xP = 35 cmB = 12 cm→ (x)² = (35 cm)² + (12 cm)²
→ x² = 1225 cm² + 144 cm²
→ x² = 1369 cm²
→ x = √(1369 cm²)
→ x = 37 cm
Therefore, value of x is 37 cm.
What is the area of the figure below?
15 in 2
20 in 2
30 in 2
25 in 2
Q.2
What is the area of the trapezoid?
9 ft 2
12 ft 2
13 ft 2
13.5 ft 2
Answer:
30 in 2
Step-by-step explanation:
What is the area of the figure below?
Ahmad made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $19.20. If the beads cost a total of , $12.80,how much did each pendant cost?
give brainliest
Answer:16 cents
Step-by-step explanation:
i’ll give brainliest:) help thanks
Answer:
A
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the other 3 arent right cause they arent shown in the dictionary enry
Pls help I need help with #11 pls I need a answer and a explanation pls and thank you!
Answer:
15 = t
Step-by-step explanation:
3 = t - 12
3 + 12 = t
15 = t
Answer:
C:15 if were going off t
Step-by-step explanation:
if you switch around the equation a bit you get t-12=3 now what number minus 12 equals three thats what your trying to find so the only logical answer is C because 15-12=3 so t=15
−12 = 2 + 5v + 2v
help me plzzzzzzzzzzzz
Answer:
v = - 2
Step-by-step explanation:
Given
- 12 = 2 + 5v + 2v ( subtract 2 from both sides )
- 14 = 7v ( divide both sides by 7 )
- 2 = v
which equation best represent the line of fit that is drawn??
A)
y=0.8x+15
B)
y=1.0x+10
C)
y=1.6x+8
D)
y=–0.8x +12
Answer: Choice B
y=1.0x+10
==============================================================
Explanation:
Without the actual (x,y) coordinates for each point, it's nearly impossible to get the answer. However, we can note that the blue regression line is intersecting the y axis at y = 10 (or around there). So its very likely that the answer is y=1.0x+10 which is choice B
The equation y=1.0x+10 is in the form y = mx+b with,
m = 1.0 = slopeb = 10 = y interceptThe next best answer is y = -0.8x+12, since 12 is fairly close to 10. The y intercept portion isn't fully shown but again it appears the blue line is crossing at y = 10.
Hunter did not want to spend more than 150$ for a flight from Reno to Los Angeles. Write the inequality that models this situation and determine the first two possible solutions
Answer:
[tex](a)\ x < 150[/tex]
[tex](b)\ x = 149; x = 148[/tex]
Step-by-step explanation:
Given
[tex]Amount = 150[/tex] --- not more than
[tex]x \to[/tex] spending
Solving (a): Represent as an inequality
Not more than means <
So, the inequality is:
[tex]Spending < Amount[/tex]
[tex]x < 150[/tex]
Solving (b): The first two possible solutions
These are the numbers closest to 150 i.e. 149 and 148
Hence, [tex]x = 149; x = 148[/tex]
Estimate the perimeter and the area of the shaded figure to the nearest tenth.
-Please help me-
Answer:
Perimeter = 12+4pi
Area = 16+8pi
Step-by-step explanation:
Description of the assumed shape:
A rectangle 2 x 8 superimposed on a semi-circle of radius 4.
Perimeter:
P = 2+8+2+(4)(pi) = 12+4pi
Area :
A = 2*8 +(pi)4^2/2 = 16 + 8pi
Paul and Mia have stamp collections. Paul has 446 stamps and Mia has 625 stamps. How many more stamps does Mia have?
Answer:
179
Step-by-step explanation:
Step 1: Subtract the lesser amount from the larger amount
[tex]625 - 446 = 179[/tex]
Therefore, Mia has 179 more stamps than Paul
Find the volume thank for answer
Given :
A cuboid shaped tank with sides 3.2 cm , 2.8 cm and 1.6 cm.
To Find :
The volume of the tank.
Solution :
We know, volume of a cuboid is given by product of its sides or :
[tex]V = l\times b \times h\\\\V = 3.2 \times 2.8 \times 1.6 \ cm^3\\\\V = 14.336 \ cm^3[/tex]
Therefore, the volume of the tank is 14.336 cm³ .
What is the value of -4d2 + 15d2 = 5 for d = 1?
Answer:
Step-by-step explanation:
-4(1)^2 + 15(1)^2 =5
-4 + 15 = 5
since the equation is false, 15-4 does not equal 5 , then something has been left off the equation. look carefully , did you forget anything?
HELPPP 5TH GRADE MATHH
Answer:
When you multiply a number by a fraction, the number always decreases. When you multiply a number by 1/2, it's always half of the original number
Step-by-step explanation:
For example, take 4 x 1/2. It can be written as four halves. What do we get when we add four halves together?
1/2 + 1/2 + 1/2 + 1/2 = 2!
2 is less than 4. It is also half of the number four
6x and _____ are like terms.
Answer:
2(3x) or 3x+3x could work
4. Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.
GIVEN: Here given that f(x)=g(x)
TO FIND: We need to find by the given relation what f(x) and g(x) represents.
SOLUTION:
f(x) is a function of x.
Also, g(x) is function of x.
The are holding the relation of equality that means
graphically we get a curve or a conic section by it.
Algebraically it gives the values of x.
PLESE HELP ME RN PLEASE
Write an algebraic equation for this tape diagram. Then determine the value of x. You may use a calculator.
Answer:
16+3x=22.75
22.75-16=6.75
6.75÷3=2.25=x
Solve for x and graph the solution on the number line
15 > 2x – 9 > -23
The answer is 12>x>-7
Step-by-step explanation:
it's first divided into 2 parts
1 . 15 > 2x - 9
2. 2x - 9 > -23
Then solve them individually.
let's do it,
First half
15 > 2x - 9
15+9 > 2x
24 > 2x
24/2 > x
12>x
Second half
2x-9>-23
2x>-23+9
2x>-14
x>-14/2
x>-7
Joining of the two halves
We have :
12>x>-7
Find the midpoint and distance of the line segment AB connecting the two points: A(- 4, 5) and B(0, 8)
what is the measure of the angle marked to the nearest 10th? (giving brainliest and thanks to all!)
How do I solve this?
Please help
hey! i’ll give brainliest please help
Please help I will give brainliest
Answer:
x < -4
I have attached the graph of the equation below and it looks exactly the same to the graph given!
Hope this helps!
Here is the graph of the equation above:
i19-1 practice question seven
Answer:
D
Step-by-step explanation:
Angle 1 and Angle 2 are supplementary. Which equation could you use to find the measure of Angle 2?
Angle 1: 67°
Angle 2: x degrees
Answer: 67 + x = 180
Step-by-step explanation:
Since the angles are supplementary, together they'd add up to 180. Since we do not know the degrees of Angle 2, we arrange x in the equation.
Hope this helps you! Good luck! <3
OKAY, HELP PLEASE! NEED AT LEAST AN 80 WERE AT 56!
Answer:
24km²
Step-by-step explanation:
12-4 is 8 and if you visualize the triangle being put on top of the other triangle it makes a complete rectangle in which you multiple 8 time 3 to get 24 km²
Answer:
24 km²
Step-by-step explanation:
12 - 4 = 8
8 ÷ 2 = 4
4 · 3 = 12
12 ÷ 2 = 6
4 · 3 = 12
6 km² + 12 km² + 6 km²
24 km²