Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
where m is slope of the line.
To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]
So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]
So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
if the area of an equilateral triangle is 24 square root 3 metres square then its perimeter is?
Answer:
6√24 or 29.39metres
Step-by-step explanation:
Area of a triangle is bh/2
The perimeter of an equilateral triangle is 3b
This equilateral triangle can be imagined as two adjoining 30-60-90 triangles. Together, their area is the given 24√3 m²
The base of the individual triangle is √24. The height is √24√3. Multiplying those factors, we get the given area, a proof of sorts, but mure importantly, we can calculate the length of the hypotenuse as 2√24.
sin(30°) = 0.5
√24/(0.5) = 2√24
That is the length of the side of the original equilateral triangle.
The perimeter is 3 times the length of the side:
(3)(2√24) = P
6√24 meters is the perimeter.
HELP !!!! find the measurements of each angle
Simplify QP
R ( 0 , a )
S ( b , c )
Q ( 0 , -a )
P ( b , -c )
Answer:
b² + ( -c + a ) ²
Step-by-step explanation:
The amount Alex eamed last week can be modeled by the expression 25 + 5n 295, where is the number of items he sold. Which number line shows how many items he could have sold last week?
10 11 12 13 14 15 16 17 18 19 20
10 11 12 13 14 15 16 17 18 19 20
+
19 20 21 22 23 24 25 26 27 28 29
19 20 21 22 23 24 25 26 27 28 29
Answer:
Step-by-step explanation:
Simplify the radical expression below:
Square root of 80
Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{80}[/tex]
[tex]\sqrt{16} \sqrt{5}[/tex]
[tex]4\sqrt{5}[/tex]
Mrs kin picked some tomatoes from her garden. She use 5/9 of her tomatoes to make pasta sauce. Then she used 5/8 of the remainder to make a salad and saved the rest for the next day. What fraction of the tomatoes did mr kin saved
Answer:
1/6 of the tomatoes
Step-by-step explanation:
So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall. That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.
Answer:
2 and 21/32
Step-by-step explanation:
Eric is a statistician-Viking. He walks into a tavern and makes three statements about the continuity correction. Which are true?
I. You can find single probabilities (such as x - 4) using the normal approximation to the binomial. Do this by finding the probability for the range from.5 below to .5 above the number. (For x 4 you'd find 3.5x 4.5.)
Il. Using the normal approximation, x 4 is the same as x4. Using the exact binomial, x <4 is not the same as x - 4
IlI. The continuity correction removes some of the error introduced when modeling a discrete distribution with a continuous one. The correction increases accuracy by acting as though a number occupies the interval from.5 below it to.5 above it.
A. I only
B. Il only
C. Ill ony
D. I and lll
E. I, I, and III
Answer:
E. I, II and III
Step-by-step explanation:
Continuity correction is a theory in which addition or subtraction is made with the discrete variables. Continuity variable helps to find the single probabilities of the function and it removes some errors that are found in the modelling of discrete distribution.
Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?
Answer:
$19,000 after five years
Step-by-step explanation:
1900 * .5 = 3800 one year
5 * 3800 = 19,000
Write 7357 correct to 3 significant figures
Helpppppppppppppppppppp
HELP ME PLEASEEEEEEEEEEEE NOWWWW ASAPP
Find the mean and absolute deviation of 8,9,7,3,5
Answer:
6.4 and 1.92
Step-by-step explanation:
mean is 6.4 and absolute deviation is 1.92
Use the graph below to determine the number of solutions the system has.
y = -3 and x = 4
(a) one
(b) two
(c) no solution
(d) infinitely many
Please help me ASAP I’ll Mark Brainly
Answer:72
Step-by-step explanation:
Answer:
3(4 + 3 + 17)
Step-by-step explanation:
The greatest common factor of the three numbers is 3. The equation would then become 3(4 + 3 + 17)
Jane drove 864 miles in 12 hours.
At the same rate, how many miles would she drive in 9 hours?
Answer:
648 miles
Step-by-step explanation:
864/12=72
72 x 9= 648
plz mark brainliest :)
have a great day!!!
Answer:648
Step-by-step explanation:
The school says that no less than a third of the juniors went to prom. If 37 juniors went, what the minimum amount of juniors at the school?
Answer: 37 times 3 is 111. So there are 111 junior at that school.
1/3 times the # = the answer.
5 less than a number is -2. What is the
number? Write on
equation and solve.
Answer:
3 - 5 = -2
Step-by-step explanation:
Cause 3 is lower than 5
And since 5 - 3 = 2
If it's the other way around it's a negative number
Answer:
3
Step-by-step explanation:
Start from 0 and do 3 minus 5 which gets you -2
=======================================================================================
Answer:
I do not understand
Step-by-step explanation:
What is the value of x in the equation below?
3(12x-24) = 16
A) 2
B) 6
C) 8
D) 10
ANSWER: B) 6
Answer:
3(12x - 24) = 16 (use the distributive property)
36x - 72 = 16 (add 72 to both sides to get the x-term alone)
36x = 88 (divide both sides by 36 to isolate x)
x = 2.4 (the four is repeating. that's the exact answer.)
I would say the answer is A because 2.4 is close to 2 than any of the other answers.
Step-by-step explanation:
I hope this helps :))
PLS HELP THANKS!
Which ordered pair is a solution to the system of equations
Answer:
its the bottom one my dude
Answer:
x= ( -1/2,4) which is D
Step-by-step explanation:
Simple math...
r/3+2=21 solve for r
Answer:
r=63
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
r/3-(21)=0 r
Simplify —
3
r
— - 21 = 0
3 2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
21 21 • 3
21 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
If f(x) = -2 and g(x) = 2x² + x-3, find (f +9)(x).
Answer:
(f + g)(x) = 2x² + x - 5
Step-by-step explanation:
Given
[tex]f(x) = -2[/tex]
[tex]g\left(x\right)\:=\:2x^2+\:x-3[/tex]
To determine
(f + 9)(x) = ?
Using the formula
(f + g)(x) = f(x) + g(x)
substituting f(x) = -2 and g(x) = 2x² + x - 3
= -2 + 2x² + x - 3
= 2x² + x - 5
Therefore, we conclude that:
(f + g)(x) = 2x² + x - 5
PLEASE HELP!!! WILL GIVE POINTS
Answer: 2
Step-by-step explanation: By adding all the desserts together, you get 20, so you then divide that by the number of tables which is 10, therefore getting 2 which is the average/mean
PLEASE NEED HELP aS FASt
Answer:
The second choice
Step-by-step explanation:
The second choice is correct because:
1.5*4=6
6) Find the distance between -8 and 10.
) What is an expression that represents the
distance? Complete the expression.
1
-8
10
1
- 10 -8
What is the distance?
?
units
A concrete mixing machine weighing 800 pounds needs to be loaded with rocks and sand. Trucks carrying 120 pounds of sand
and 30 pounds of rocks will be used to load the machine. In order for the machine to function properly, the combined weight
of the machine and the mixing load cannot exceed 2,800 pounds.
Which inequality describes the restriction on truck loads, x, to ensure the mixing machine functions properly?
A. 120x+800 > 2,800
B. 150x + 800 > 2 2,800
C. 800x + 150 < 2,800
D. 150x+800 < 2,800
The inequality to ensure the mixing machine functions properly is,
D. 150x + 800 < 2800
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
From the given information and the statement that the combined weight should not exceed 2800 pounds the inequality that represents the number of loads it can take to ensure the mixing machine functions properly is,
150x + 800 < 2800.
learn more about inequalities here :
https://brainly.com/question/28823603
#SPJ1
What is an angle that is adjacent to AEB?
Please help :(
Answer:
Angle DEA
Step-by-step explanation:
It lies in the same line
Can someone teach me how to do a step by step explanation answer on brainly please
Answer:
Its very easy, tap on the question ? button for help OwO
Step-by-step explanation:
I'll mark you brainlist if you answer quickly!!
Graph the equation 2x + 3y + z = 6
2x + 8=12 what is the value of 4x + 2
Answer:
2x + 8 = 12
x = 2
4x = 2 = 10
Step-by-step explanation: