Graph the inequality. x < 2
Step-by-step explanation:
there u have it, since y is 0, we make a straight line that passes through 2 and shade the numbers that are <2
PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two numbers?
Answer:
13 and 6
Step-by-step explanation:
20 points!!
Evaluate.
−26.6/−1= __________
Answer:
26.6
Step-by-step explanation:
simplify -26.6 divided by -1 to 26.6
Answer:
26.6
Step-by-step explanation:
- 26.6 / - 1
- 26.6 = - 1 x 26.6
- 1 = - 1 x 1
- 26.6 / - 1
= ( - 1 x 26.6 ) / ( - 1 x 1 )
= ( - 1 / - 1 ) x ( 26.6 / 1 )
= 1 x 26.6
= 26.6
6 cm
5 cm
***
-
Find volume
Water drains from a 60 gallon bath tub at a constant rate. It empties in 5
minutes. What is the rate?
10 gal/ minute
-10 gal/ minute
-12 gal/ minute
-15 gal/ minute
Answer:
-12 gal / min
Step-by-step explanation:
[tex] \frac{ - 60 \: gallon}{5 \: minutes} = - \frac{60}{5} = - 12[/tex]
Please help!
Geometry.
Proving alternate exterior angles
congruent
answers
A:
-Angle 2 is congruent to angle 3
-Angle 2 is congruent to angle 6
-Angle 3 is congruent to angle 7
-Angle 3 is congruent to angle 6
B:
-Angle 3 is congruent to angle 6 -angle 3 is congruent to angle 7 -angle 6 is congruent to angle 7 -angle 4 congruent to angle 5
Answer:
The answer to A is: "Angle 2 is congruent to angle 3"
The answer to B is: "Angle 3 is congruent to angle 7"
In a ∆ABC , angle A + Angle B = 125° and Angle B + Angle C = 150° . Find all the angles of ∆ABC.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
In triangle ABC
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]
We know,
Sum of all interior angles of a triangle is supplementary.
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]
On adding equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]
On substituting the value in equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]
Also, from equation (2), we get
[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]
Hence,
[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]
Answer:
angle A=30°
angle B=95°
angle C=55°
Triangles PQR and STU are similar. The length of PQ = 36 cm, RP = 48 cm and QR = 24
cm. THe length of the longest side of triangle STU is 92 cm. What is the perimeter of
triangle STU?
Answer:
207 cm
Step-by-step explanation:
Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm
Perimeter of triangle PQR is
P(ΔPQR) = 36+48+24 = 108 cm
Because the triangles are are similar their sides are in proportion.
But how much bigger did the second triangle get?...is (92/48) times bigger
P(ΔSTU) = 180*(92/48) = 207 cm
...you can also use proportions to find each side and then find the perimeter
TU = 24*92 /48 = 46
TS = 36*92/48 = 69
SU = 92
P(ΔSTU) = 92+69+46 =207 cm
*the triangles are not drawn to scale
The corporate team-building event will cost $72 if it has 36 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $92?
What is the equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form?
So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.
Slope of perpendicular lines is the opposite sign and the reciprocal of the other.
So if your slope was 2 the perpendicular line would have a slope of -1/2.
So the equation, 2x + y = 3
Can be rewritten as
y= -2x+3
Perpendicular slope: 1/2
Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.
y=mx+b
4=1/2(5)+b
Solve for b (y intercept)
4-2.5=b
1.5=b
So the equation of the perpendicular is
y=1/2x+3/2 or y=.5x+1.5
Please answer this big question nobody ever answers my questions im sad :(
Answer:
Step-by-step explanation:
1.
3,4,5 will make a triangle.
2.
sum of any sides > third side
difference of any two sides < third side
3+4=7>5
4+5=9>3
5+3=8>4
again
4-3=1<5
5-3=2<4
5-4=1<3
so it makes one triangle.
3.
3,4,8
4.
3+4=7 not >7
again
8-4 =4 not <3
so they do not make a triangle.
Simplify, then determine which is greater
Answer:
1) answer is 2x^2 - x + 6
2) answer is 2x^2 + 2x + 2
Step-by-step explanation:
i dont know if this is what you wanted, but i tried to follow the directions as best i could
Answer:
2x2 - 2x + 6 - (-3x) = 2x2(tiny) + x + 6
or
-(3 - 2x2) + 5 +2x = 2x2(tiny) + 2x +2
Step-by-step explanation:
I don't remember exactly how you find the smallest, sorry...
Which describes how to find the solution to 3p < 14?
Answer:
p < 14/3
Step-by-step explanation:
Answer:
a.divide both sides with 3
Step-by-step explanation:
Please help I would be very grateful
A line has a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line ?
Answer:
y = -2/3x + 6
Step-by-step explanation:
replace the coordinates in the equation
y= mx + c
y= 8
x= -3
8= -2/3 (-3) + c
c + 2 = 8
c = 8 - 2
c = 6
y= -2/3x + 6
Anna is counting the number of seeds in her fruit. Her watermelon has one less than three times the number of seeds as her apple. Her orange has 13 less than 5 times the number of seeds as her apple. Her watermelon has more seeds than her orange. Which inequality represents the number of seeds her apple could have?
Inequalities are used to represent unequal expressions
The inequality that represents the number of seeds her apple could have is [tex]\mathbf{A < 6}[/tex]
Represent the fruits with the first letter.
So, we have:
[tex]\mathbf{W =3A - 1}[/tex] --- watermelon is one less than three times apple
[tex]\mathbf{O =5A - 13}[/tex] --- orange is thirteen less than five times apple
[tex]\mathbf{W > O}[/tex] --- the seeds in watermelon exceeds orange
Substitute expressions for W and O in [tex]\mathbf{W > O}[/tex]
[tex]\mathbf{3A - 1 > 5A - 13}[/tex]
Collect like terms
[tex]\mathbf{13- 1 > 5A - 3A}[/tex]
[tex]\mathbf{12 > 2A}[/tex]
Divide both sides by 2
[tex]\mathbf{6 > A}[/tex]
Rewrite as:
[tex]\mathbf{A < 6}[/tex]
The inequality that represents the number of seeds her apple could have is [tex]\mathbf{A < 6}[/tex]
Read more about inequalitues at:
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Which equation has only one unique solution?
A.
|3 − x| = 3
B.
|x − 2| − 7 = 7
C.
-4|x| + 1 = -3
D.
9 − |2x − 1| = 9
The equation with only one unique solution is 9 − |2x − 1| = 9, with the solution x = 1/2. D.
To determine which equation has only one unique solution, let's analyze each equation:
|3 − x| = 3
In this equation, the absolute value term represents a distance.
By setting up two cases, where the absolute value is positive and negative, we can find the solutions.
Case 1:
3 - x = 3
Solving for x, we have x = 0.
Case 2:
x - 3 = 3
Solving for x, we have x = 6.
Thus, this equation has two solutions.
|x − 2| − 7 = 7
Similar to equation A, the absolute value term represents a distance.
By adding 7 to both sides, we have |x - 2| = 14.
This equation implies that the distance between x and 2 is 14.
There are two possible values for x: x = 2 + 14 = 16 and x = 2 - 14 = -12.
This equation has two solutions.
-4|x| + 1 = -3
To solve this equation, we isolate the absolute value term:
-4|x| = -4
Dividing both sides by -4:
|x| = 1
The absolute value of any number is always positive or zero.
The equation |x| = 1 has two solutions: x = 1 and x = -1.
9 − |2x − 1| = 9
The absolute value term represents a distance.
Subtracting 9 from both sides, we have |2x - 1| = 0.
The only way the absolute value of a real number can be equal to zero is if the number inside the absolute value is zero.
Thus, we set 2x - 1 = 0 and solve for x:
2x - 1 = 0
2x = 1
x = 1/2
Equation D has only one unique solution: x = 1/2.
For similar questions on unique solution
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find the equation of a line given two points (1, 2) and (4, 3).
Answer:
[tex]slope \: or \: gradient = y2 - y1 \div x2 - x1 \\ 3 - 2 \div 4 - 1 \\ 1 \div 3 \\ y = mx + c \\ 2 = 1 \div 3 \times 1 + c \\ 2 = 1 \div 3 + c \\ 2 - 1 \div 3 = c \\ c = 5 \div 3 \\ y = 1 \div 3x + 5 \div 3[/tex]
what is a set? describe the use of braces for listing the members of a set.
Answer:A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements. Curly braces are used to indicate that the objects written between them belong to a set
Answer: A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.
Curly braces are used to indicate that the objects written between them belong to a set.
What is set?A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.
here, we have,
N={1,2,3,4,.......}
Determine the sets of natural number
Represent this set with letter N
From definition of natural numbers, they are integer numbers starting from 1;
In other words: 1,2,3,4,5, and so on.
To represent this as a set of N, we have
N={1,2,3,4,.......}
The ..... means that the counting still continues.
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please help i be struggling on this..
Step-by-step explanation:
8
a. total cost ($)
→ 25 = 25×2.5 = $62.5
→ 50 = 50 × 2.5 = $125
→ 75 = 75 × 2.5 = $187.5
b. 2.5n
c. $400/2.5 = 160
therefore, she can make 160 crafts by $400.
9. 7x + 12 = 18
→ 7x = 18 - 12 = 6
→ x = 6/7
therefore value of x is 6/7.
hope this answer helps you dear...take care
Diego can type 140 words in 4 minutes.
At this rate, how long will it take him to type 385 words?
How many words can he type in 15 minutes?
If you get stuck, consider creating a table.
I hope you find this useful, Mark as Brainliest please, it's very much appreciated.
Explanation:
In one minute, Diego can type 35 words;140÷4
At this rate, it will take him 11 minutes to type 385 words;385÷35
Therefore, he can type 525 words in 15 minutes; 35×15
Answer:
Hope this helps.
Step-by-step explanation:
1. 385 x 4 = 1540/140
=11
2. 15/4 = 3.74 x 140
=525
APQR and ARST are shown.
What is m QPR?
QPR is 68 degrees
triangle=180 degrees
180-44=136
136/2=68 (R=68 and S=68)
R has two angles so both are 68 degrees
QPR=68 degrees
Find the measure angle measure.
Answer:
42.3
Step-by-step explanation:
add both angles then subtract by 180 and the negative number is your answer
Given: 3jk 2 + =15 4k− Prove: j = 10 – 3k
Answer:
j=10-3k
Step-by-step explanation:
here you go...i hope it's correct
If the equation is (3j+k)/2=15-4k then j=10-3k
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is (3j+k)/2=15-4k
We need to prove j=10-3k
(3j+k)/2=15-4k
Apply cross multiplication and solve for k
3j+k=2(15-4k)
3j+k=30-8k
Subtract k from both sides
3j=30-9k
Divide both sides by 3
j=10-3k
Hence, if the equation is (3j+k)/2=15-4k then j=10-3k
To learn more on Equation:
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Help stuck on question number 10
Answer:
y = 2/3x - 5 or in standard form 3y = 2x - 5
Step-by-step explanation:
Remember this fact: Parallel lines have the same slope
Step 1 Solve for y so that the equation is in the slope- intersect form
2x - 3y = 6
-3y = -2x + 6
-3y/-3 = -2x/-3 + 6/-3
y = 2/3 x -2
now we know the slope is 2/3 or
when the equation is in Standard form Ax + By = C you can use this fact: slope = - A/B so the slope = -2/-3 = 2/3
Remember the Parallel lines have the same slope
Find the y-intersect "b" use the slope = 2/3 and point (6, -1)
y = mx + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
Now write the equation of line that is parallel to the given line and passes through point (6, -1)
y = 2/3x - 5 or in standard form 3y = 2x - 5
Can you find the value of x please?!
Answer:
32
Step-by-step explanation:
The interior angles of a triangle add up to 180.
Subtract 98 and 50 from 180.
180-(98+50)=32
Step-by-step explanation:
you add all the values and equate them to 180
Subtract. 3- (-5) - (-2) Plot the solution on the number line.
Answer:
10. put a dot on the number 10
Step-by-step explanation:
3-(-5)-(-2)
when subtracting negatives, you actually end up adding
so
3+5+2=10
3 - (5) - (-2) = 10.
The solution will be positive 10 on the line.
HELLOOOO can somene help me
Answer:
I think it`s the second one
Step-by-step explanation:
Answer: The answer is the second choice. Hope this helps!
MARKING BRAINLEIST IF YOU ARE RIGHT!!
Answer: 1 1/14
Step-by-step explanation: sorry if im wrong
HELP ME PLEASE I NEED CORRECT ANSWER
Answer:
see explanation
Step-by-step explanation:
The vertex is the coordinates of the turning point of the parabola
The axis of symmetry is a vertical line passing through the vertex with equation
x = c ( where c is the x- coordinate of the vertex )
vertex = (0, 0 ) , axis of symmetry is x = 0 ( the y- axis )
(1)
vertex = (- 2, 4 ) , axis of symmetry is x = - 2
(2)
vertex = (7, 1 ) , axis of symmetry is x = 7
(4)
vertex = (- 3, - 2 ) , axis of symmetry is x = - 3