3*-6-2*-11=14
-18+22=14
22=14+18
10
Answer: First, remember that parallel lines have the same slope. So we first need to find the slope of the line we are given, 3x+2y=27. The quickest way to find the slope of this line is to put it into slope-intercept form (y=mx+b)
subract 3x from both sides:
2y=-3x+27
divide each term by 2:
y=-3/2x +27/2
Now we can see that the slope is -3/2.
From here, we use the slope we found and the ordered pair given (7,-4) and find the equation of the new line. We will have to use point-slope form (y-y1)=m(x-X1) to find the new line because the ordered pair given is not the y-intercept.
(y-(-4))=-3/2(x-7)
distribute -3/2:
(y-(-4))= -3/2x + 21/2
simplify double negative on left side of equals sign:
y+4=-3/2x + 21/2
Subtract 4 from both sides:
y= -3/2x + 13/2
This is your answer in slope intercept form. Because the directions specifically ask for standard form, we have one more step. Standard form (ax+by=c) needs the terms with x and y to be on the same side of the equals sign. So, we simply have to move the term with x (-3/2x) to the other side by adding.
Finished product:
3/2x+y= 13/2
Step-by-step explanation:
Express your answer in scient 9.3.107 - 3.4.106 Stuck? Watch a video
Answer:
o resultado coreto é 59.001
21. 3a + 5b = -27
4a + 10b = -46
how to solve with substitution
Answer:
a = -4 and b = -3
Step-by-step explanation:
Step 1: Solve 3a + 5b = -27 for a
3a + 5b = -27
3a + 5b + -5b = -27 + -5b
(Add -5b go both sides)
3a = -5b- 27
3a = -5b - 27
3 3
(Divide both sides by 3)
a = -5 b - 9
3
Step 2: Substitute -5 b - 9 for a in 4a + 10b = -46
3
4a + 10b = -46
4(-5 b - 9) + 10b = -46
3
10 b - 36 = -46
3
(Simplify both sodes of the equation)
10 b - 36 + 36 = -46 + 36
3
(Add 36 to both sides)
10 b = -10
3
10/3 b = -10
10/3 10/3
(Divide both sides by 10/3)
b = -3
Step 3: Substitute -3 for b in a = -5/3 b - 9
a = -5/3 (-3) - 9
a = -4
(Simplify both sides of the equation)
Need help ASAP!! Question in the photo.
Answer:
to hang a lamp at the center of your room
Step-by-step explanation:
yes to hang a lamp in the center of a room is the correct way to use midpoint formula
What is 0 divided by 0
Answer: undefined
Step-by-step explanation:
Answer:
um.. the answer is "0"
Step-by-step explanation:
this goes to the question i just posted someone please help me please
Answer:
Ok only if yo help me with my last question
Step-by-step explanation:
Which of the following is the correct graph of the solution to the inequality -18 > -5x + 2 > -48?
Answer:
3rd option down
Step-by-step explanation:
Simplify the inequality and you should get this:
-48[tex]\leq[/tex]-5x+2<-18
-2 . -2 . -2
-50[tex]\leq[/tex]-5x<-20
Divide by -5
Remember to switch places since we are dividing by a negative number
You should get this 4[tex]\leq[/tex]x<10
The only number line that shows that properly would be the 3rd one down.
Answer:
c
Step-by-step explanation:
y = -x +7 and y = x + 4 Are the equations parallel, perpendicular, or neither?
Answer:
Perpendicular
Step-by-step explanation:
They are perpendicular because the slopes are negative reciprocals.
Answer:
They are neither.
Step-by-step explanation:
They intersect at a non- 90 degree angle, so it cannot be perpendicular or parallel.
Given a∥b and m∠5=77° .
What is m∠2 ?
Enter your answer in the box.
Answer:
Step-by-step explanation:
m<5 and m<4 are supplementary angles => m<5 + m< 4 = 180
m<4 = 180 -77 = 103
m<4 and m<2 are corresponding angles => m<4 = m<2 = 103
The measure of the angle m∠2 is 103.
What are supplementary angles?The supplementary angles are defined as the angles having a sum of 180 degrees. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
In the given image the given angle is m∠5=77°. The measure of the angle m∠2 will be calculated by using some of the angle properties.
m∠5 and m∠4 are supplementary angles:-
m∠5 + m∠4 = 180
m∠4 = 180 -77 = 103
m∠4 and m∠2 are corresponding angles => m∠4 = m∠2 = 103
Therefore, the measure of the angle m∠2 is 103.
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A car travels 196 miles in 3.5 hours. Which of the following is NOT an equivalent number of miles per hour?
Answer:
56mph
Step-by-step explanation:
Evelyn can run 3 miles in 40 minutes. Which equation can be solved to find m, the number of miles Evelyn can run in 60 minutes? ___1 4 and ____ 4 10 ___3 40 5 _1 m __1 2 and __6 12 ___3 40 5 __ 60 m __ 3 8 and __9 16 ___3 40 5 __ m 1 __ 2 6 and ___3 12 ___3 40 5 ___ m 60
Answer:
Step-by-step explanation:
Let m be the number of miles that evelyn can run in 60 minutes.
If evelyn can run 3 miles in 40 minutes, to calculate the number of miles she can run in 60 minutes, we will apply the equality postulate as shown;
3 miles = 40 minutes
m miles = 60 minutes
Cross multiply
40* m = 3* 60
40m = 180
Divide both sides by 40
40m/40 = 180/40
m = 180/40
m = 4.5 miles
The equation that can be used to find m is 40m = 180 and the value of m is 4.5miles
which pair of ratios forms a proportion? hint: check for cross products. a. 6/9=9/12 b. 8/16=10/21 c. 6/15=10/25 d. 4/14=6/27
Answer:
c. 6/15 = 10/25
Step-by-step explanation:
Using the hint, we can form the cross products of the offered choices:
a. 6(12) vs 9(9) ⇒ 72 vs 81 . . . not a proportion
b. 8(21) vs 16(10) ⇒ 168 vs 160 . . . not a proportion
c. 6(25) vs 15(10) ⇒ 150 vs 150 . . . IS A PROPORTION
d. 4(27) vs 14(6) ⇒ 108 vs 84 . . . not a proportion
__
The cross products are the same for choice C, so that is a pair of ratios that form a proportion:
6/15 = 10/25
Which is a correct verbal expression for
8n?
F n more than 8
G the quotient of 8 and n
H the product of 8 and n
J 8 increased by n
The correct verbal expression for 8n is "the product of 8 and n". therefore, option H is the correct choice.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The correct verbal expression for 8n is "the product of 8 and n". Therefore, option H is the correct choice.
Option F "n more than 8" would be written as "n + 8".
Option G "the quotient of 8 and n" would be written as "8/n".
Option J "8 increased by n" would be written as "8 + n".
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How to measure 1 cup of milk
Answer:
you get a one cup measurments and pour milk to the 1
Step-by-step explanation:
ive done it before
What is the domain of the function f(x) = x+ 2?
Answer: Choice D) [tex]x \ge -6[/tex]
=========================================================
Explanation:
Taking the square root of a negative number leads to a nonreal result.
So we want the radicand to be 0 or positive
Set the stuff under the square root to be 0 or larger. Solve for x.
[tex]\frac{1}{3}x+2 \ge 0\\\\\frac{1}{3}x \ge 0-2\\\\\frac{1}{3}x \ge -2\\\\x \ge 3(-2)\\\\x \ge -6[/tex]
If x is -6 or larger, then [tex]\frac{1}{3}x+2[/tex] is 0 or larger leading to some real number for f(x).
The inequality sign does not flip because we multiplied both sides by a positive number. The inequality sign only flips when we multiply both sides by a negative number.
given m ll n find the value of x.
Answer:
45 degrees
Step-by-step explanation:
Since the angle x and angle 135 degrees are supplementary, you just have to minus 135 from 180 which the answer is 45 degrees.
The value of the angle x will be equal to 45 degrees.
What are lines and angles?An endlessly long row of evenly spaced dots that spans in both directions makes up a line. Its length is the only dimension it has. A geometry called an angle is created when two line segments, lines, or rays intersect.
Given that the line is crossing the two parallel lines making an angle of 135 degrees with one line. The value of x will be calculated by using the supplementary angle property.
x + 135 = 180
x = 180 - 135
x = 45
Therefore, the value of the angle x will be equal to 45 degrees.
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Help me solve this problem please
[tex]5x - (x - 2) \geq 2x - 4(x - 8)\\5x - x + 2 \geq 2x - 4x + 32\\5x - x - 2x + 4x \geq 32 - 2\\6x \geq 30\\x \geq 5\\[/tex]
Interval notation: [tex]x \in \lbrack 5, \infty \rangle[/tex]
-3y > 9 or 2y – 6 > 2
Pls solve with steps and explain
Answer:
[tex]y<-3\quad \mathrm{or}\quad \:y>4[/tex]
Step-by-step explanation:
so first lets solve -3y>9
[tex]-3y>9\\[/tex]
div both side by -3( rember to switch sign)
[tex]y<-3[/tex]
thats the first answer
2nd, lets solve 2y-6>2
[tex]2y-6>2[/tex]
add 6 to both side
[tex]2y>8[/tex]
div both side by 2(no switch sign)
[tex]y>4[/tex]
Rafael is going for a walk. He takes 4 hours to walk 6.4 miles. What is his speed?
Answer:
Step-by-step explanation:
1.6
1.6 miles per hour is speed of Rafael.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, Rafael is going for a walk. He takes 4 hours to walk 6.4 miles.
From the general formula of speed:
Speed = distance/time
In our case,
Distance= 6.4 miles
Time = 4 hours
Thus,
Speed = 6.4/4
Speed in miles per hour = 1.6
therefore, the speed of Rafael is 1.6 miles per hour.
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A 2-column table with 9 rows titled December Temperatures. Column 1 is labeled Day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9. Column 2 is labeled Temperature (degrees Fahrenheit) with entries 33, 34, 42, 36, 39, 36, 39, 40, 44. What is the range of the data set?
Answer:
11
Step-by-step explanation:
The range of the data set is 11.
A 2-column table with 9 rows titled December Temperatures. Column 1 is labeled Day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9. Column 2 is labeled Temperature (degrees Fahrenheit) with entries 33, 34, 42, 36, 39, 36, 39, 40, 44.
Here,
A 2 - column table with 9 rows titled December temperature.
Column 1 is labeled day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9.
Column 2 is labeled temperature with entries 33, 34, 42, 36, 39, 40, 44.
What is range of data set?
The range is the difference between the highest and lowest values within a set of numbers.
Now,
For find the value of range set,
The highest value in given table = 44
The lowest value in given table = 33
Range of the data set = highest value - lowest value
= 44 - 33
= 11
Hence, The range of the data set is 11.
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what is the solution for this? Y = 3bx - 7x
Answer:
[tex]x=\frac{y}{3b-7}[/tex]
Step-by-step explanation:
Rewrite the equation as [tex]3bx-7x=y[/tex].
Factor x out of 3 b x
[tex]x(3b)-7x=y[/tex]
Factor [tex]x[/tex] out of [tex]x(3b)+x*-7[/tex]
[tex]x(3b-7)=y[/tex]
Divide each term by [tex]3b-7[/tex] and simplify.
Divide each term in [tex]x(3b-7)=y[/tex] by [tex]3b-7[/tex].
[tex]\frac{x(3b-7) }{3b-7} =\frac{y}{3b-7}[/tex]
Cancel the common factor of [tex]3b-7[/tex]
How is this number expressed in scientific notation? 0.01463
Which statements are appropriate to use in an online academic environment? Check all that apply.
I completely agree with Gabi’s interpretation of the book’s theme.
By the way, what did you find out about tickets to Friday’s concert?
Mr. Sherman’s lecture on social media today was inspiring.
OMG! That idea is gr8!
prof. grants review helped me understand the topic much btter
The writing prompt left me puzzled #writingprompt #confused.
In my opinion, we might want to consider examining the theme of greed.
Answer:
1,3, and 7th option.
Step-by-step explanation:
I just did the questions.
Add me on instagram sheluvsayden
Answer:
1 3 7
Step-by-step explanation:
can someone tell me how to do this I am so confused
Answer:
I think it is D.
Step-by-step explanation:
Alex, Bart, and Carl are brothers. Alex is the oldest and Carl is the youngest. The sum of the ages of the three brothers is 42. Alex's age is 3 more than twice Carl's age. The difference between Bart's and Carl's age is 7 years. Which system of equations could be used to determine the ages of all three brothers?
A = Alex
B = Bart
C = Carl
B - C = 7
A + B + C = 42
C / 2 x 3 = A
System of equations could be used to determine the ages of all three brothers are :
x + y+ z = 42
x = 3+ 2z
y -z = 7
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, let suppose the ages of all the brothers Alex, Bart, and Carl be x,y, z respectively :
x = Alex
y = Bart
z = Carl
Then according too the question the :
The equation representing the sum of the ages of the three brothers is 42 is :
x + y+ z = 42
The equation representing Alex's age is 3 more than twice Carl's age is :
x = 3+ 2z
The equation representing the difference between Bart's and Carl's age is 7 years is :
y -z = 7
Therefore, system of equations could be used to determine the ages of all three brothers are
x + y+ z = 42
x = 3+ 2z
y -z = 7
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Plz help me!!!!!i need to get this correct plz help!!!
Answer:
yes
Step-by-step explanation:
if you divide 18 by 3 you get six and if you divide 15 by 3 you get 5, so it simplifies to 6:3 which is the same as the ratio for rings
Rudy took a test and earned a 92%. If Rudy answered 46 questions correctly, how many questions were on the test?
How many questions did he answer incorrectly?
How many questions would have to be correct if he made an 88%?
Answer:
50
4 were incorrect
44/50 would make it 88%
Step-by-step explanation:
Answer:
1. There are 50 questions on the test.
2. He answered 4 questions incorrectly.
3. To make an 88 he would have gotten 44/50 questions right.
What is between 49 and 50
2. At Burger World, you can buy a party platter of 25 burgers for $75. What
is the unit rate price of one hamburger?
Answer:
$3
Step-by-step explanation:
25 times 3=75
pls help!!!!!!!!!!!!!!!
Answer:
ok
Step-by-step explanation:
Answer:
Step-by-step explanation:
c i think
Due Today! A student used the slope-intercept form to write the equation of a line that has a slope of -2 and passes through the point ( - 3/10, 5) The student’s work is shown to the left. Analyze the steps to identify the error.
A. Step1: student switched the x and y values
B. Step 3: student needed to add 6/10 to both sides
C. Step 5: student subtracted incorrectly
D. Step 6: student needed to add the b value
Answer:
Answer d (student needed to add the b value)
Step-by-step explanation:
I got it right
Answer:
D. Step 6: student needed to add the b value
Explanation:
I got the question right.
Hope this Helps!