9514 1404 393
Explanation:
This is a self-answering question: you solve it by graphing the equations.
The solution is where the lines intersect. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.
__
The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.
If the measure of angle 2 Is (4x+10)degrees and the measure of angle 3 is (3x-5)degrees, what is the measure of angle 2 in degrees?
Answer:
110°
Step-by-step explanation:
4x+10 + (3x-5) = 180
7x + 5 = 180
7x = 175
x = 25
∠2 = 4(25) + 10 = 110
The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.
To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:
(4x + 10) + (3x - 5) = 90
Now, let's solve the equation to find the value of x. First, combine like terms:
4x + 3x + 10 - 5 = 90
7x + 5 = 90
Next, isolate x by subtracting 5 from both sides:
7x = 85
Finally, divide by 7 to solve for x:
x = 85 / 7 ≈ 12.14
Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:
Angle 2 = 4x + 10
Angle 2 = 4(12.14) + 10
Angle 2 ≈ 48.56 + 10
Angle 2 ≈ 58.56 degrees
To know more about angle here
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0.0543 nearest whole number
Answer:
0
Step-by-step explanation:
Ignore the next 2 numbers after 0.05. To the nearest whole number, round 0.05 to the nearest tenth, 0.1. Then round that to the nearest whole number, 0, which is your answer.
can someone help me solve this pls ? solve |x| + 7 < 4
Answer:
no solution
Step-by-step explanation:
|x| + 7 < 4
Subtract 7 from each side
|x| + 7-7 < 4-7
|x| < -3
But an absolute value must be greater than or equal to zero
There is no solution
Answer: No solutions
Let's solve the inequality step-by-step
[tex]|x|+7<4[/tex]
First subtract 7 from both sides
[tex]|x|+7-7<4-7\\|x|<-3[/tex]
Now usually you'd solve absolute value, but absolute value cannot be less than 0 so there can't be a solution.
NEED HELP ASAP PLEASE
Assume that a three-month CD purchased for $3000 pays simple interest at an annual rate of 10%. How much total interest does it earn?
$ ____
What is the balance at maturity? ______
Answers:
interest = $75balance at maturity = $3075=============================================================
Explanation:
The simple interest formula is
i = p*r*t
where in this case,
p = 3000 = principal (amount deposited)r = 0.10 = annual interest rate in decimal formt = 3/12 = 0.25 = number of yearsSo,
i = p*r*t
i = 3000*0.10*0.25
i = 75 is the amount of interest earned
This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)
The balance at maturity is p+i = 3000+75 = 3075 dollars
---------------
In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.
2x^2 + 3x - 12 when x = 5 help pls
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2x^2 + 3x - 12}[/tex]
[tex]\mathsf{= 2(5)^2 + 3(5) - 12}[/tex]
[tex]\mathsf{5^2}[/tex]
[tex]\mathsf{= 5 \times 5}[/tex]
[tex]\mathsf{\bf = 25}[/tex]
[tex]\mathsf{2(25) + 3(5) - 12}[/tex]
[tex]\mathsf{2(25)}[/tex]
[tex]\mathsf{= \bf 50}[/tex]
[tex]\mathsf{3(5)}[/tex]
[tex]\mathsf{= \bf 15}[/tex]
[tex]\mathsf{= 50 + 15 - 12}[/tex]
[tex]\mathsf{50 + 15}[/tex]
[tex]\mathsf{= \bf 65}[/tex]
65 - 12
[tex]\mathsf{= \bf 53}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 53}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground? 5.78 inches 11.56 inches 2.88 inches
Answer:
104/4 pi
Step-by-step explanation:
Answer: The circumference of a circle is:
Radius = r, Diameter = d, C = Circumference
C=2πr (as 2r=d)
C=πd
-------------
If the radius of the circle is 26" then its diameter must be 52".
This means that the bicycle wheel has a circumference of 52π".
I'm going to divide 52π" into 360 parts (because a circle is made up of 360 degrees). I'll then multiply this value by 80 to give you an answer.
PLS HELP
Which is a solution for the inequality -6x – 5 <-23 ?
(1) O
(2) 2
(3) -2
(4) 5
)Which statement best describes the area of the triangle shown below?
A coordinate grid is shown with a triangle.. The base is 4 units, and the height is 4 units.
It is one-half the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a square of side length 4 units.
9514 1404 393
Answer:
(b) It is one-half the area of a square of side length 4 units.
Step-by-step explanation:
The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.
Answer:
B
Step-by-step explanation:
Hope you have a nice day! :o)
Which expression is equivalent to 1/2 (6x + 1/2)
Answer:
3x + 1/4
Step-by-step explanation:
1/2 (6x + 1/2)
Distribute
1/2 * 6x + 1/2 * 1/2
3x + 1/4
which exponential equation is equivalent to the logarithmic equation below? log478=a
A. 478^10 = a
B. a^10 = 478
C. 478^a = 10
D. 10^a = 478
i need help finding the answer with step by step
Answer:
x= -1
Step-by-step explanation:
if
f(x) = -x-3
and
f(x) = -2
than
-x-3 = -2; add 3 to both sides
-x-3+3 = -2+3
-x = 1 ; multiply both sides by -1
x= -1
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment.Each group of students needs 3/8 pint of vinegar.Trey draws the number line model and writes the equation below to help Ms. Nellies figure out how many 3/8-pint serving of vinegar she has.Are Trey's number line model and equation correct?
Trey's number line is _______ because it represents the expression _________.The correct equation is _______.Ms. Nellies has enough vinegar for _________ groups of students.
1st blank box: correct or incorrect
2nd blank box: 2 1/2 x 3/4,2 1/2 ÷ 3/4,2 1/2 x 3/8,or 2 1/2 ÷ 3/8.
3rd blank box: 2 1/2 ÷ 3/8= 6 2/3,2 1/2 ÷ 3/8 = 3 1/3,2 1/2 x 3/8 = 2 3/16, or 2 1/2 ÷ 3/8 = 15/16
4th blank box: 2,6,3,or 0
Answers:
Trey's number line is incorrect because it represents the expression 2 1/2 ÷ 3/4.
The correct equation is 2 1/2 ÷ 3/8 = 6 2/3.
Ms. Nellies has enough vinegar for 6 groups of students.
===========================================================
Explanation:
Trey has the right idea, but made a mistake on how the tickmarks are set up. Focus on the interval from 0 to 1. This section is cut into 4 equal pieces. So each tickmark represents 1/4 of a unit.
Going 3 tickmarks across means 3/4 of a unit is represented. Since each larger arc represents 3/4 of a unit, this means we're dividing the 2 & 1/2 over 3/4 instead of 3/8
That's why Trey's model represents 2 1/2 ÷ 3/4
The value 3 & 1/3 at the end is correct. Visually we see 3 whole jumps plus an extra 1/3 of a jump to arrive at 2 & 1/2. But again, Trey didn't cut the number line up in the right way, so it doesn't matter that he arrived at the correct result of 3 & 1/3 since his initial setup is faulty.
------------------------------
See the diagram below to see what Trey should have drawn. Notice each tickmark represents 1/8 instead of 1/4. Each large blue arc jump represents 3/8 of a unit. We have exactly 6 of these blue arcs plus 2 additional smaller arcs that are 1/3 of the blue arc. So that accounts for the 1/3+1/3 = 2/3 portion.
Overall, we would say that the equation is 2 1/2 ÷ 3/8 = 6 2/3
If you're curious why that equation works, check out the steps below
[tex]2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \div \frac{3}{8}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \times \frac{8}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5*8}{2*3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{40}{6}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{20}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18+2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18}{3}+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6\frac{2}{3}\\\\[/tex]
So again, the equation is 2 1/2 ÷ 3/8 = 6 2/3
------------------------------
What does this all mean? Well it means the teacher can break up the vinegar into 6 whole parts plus an additional 2/3 of a part.
In other words, 6 groups will get 3/8 of a pint each. The leftover part 2/3 isn't enough to form that 7th group. Notice in the diagram below, we have 2/8 = 1/4 of a pint which is smaller than 3/8 of a pint.
1/4 = 0.25
3/8 = 0.375
So this is another way to see that the leftovers isn't enough to form a 7th group.
Therefore, she has enough vinegar for 6 groups
40 oz < 3lb
Is it true or false ?
Answer:
True
Step-by-step explanation:
40oz = 2.5 lb
10 = 0.625
Determine the list of numbers 14, 18 and 33 can be measured of the sides of a triangle if so clarify the triangle as a cute right or obtuse
9514 1404 393
Answer:
no
Step-by-step explanation:
The measures 14, 18, 33 cannot correspond to the sides of a triangle. The two short sides total 32 in length, so cannot meet up with the ends of the side whose length is 33. A triangle cannot be formed.
this................................................................................................
Answer:
5
Step-by-step explanation:
3-(-2)
the two negative signs cancel out and it turns into
3 + 2
3 + 2 = 5
Answer:
5
Step-by-step explanation:
minus * minus = plus
3-(-2) = 3 + 2 = 5
At a sale this week, a suit is being sold for $235.60. This is a 62% discount from the original price.
What is the original price?
Answer:
$620
Step-by-step explanation:
（1-62%）X=235.6
X=235.6/38%
X=620
The original price is $620
can someone please tell me the answer .
Answer:
Step-by-step explanation:
Answer:
the last one
Step-by-step explanation:
congruent means they are the same and all sides of a square are the same size.
What is an inscribed polygon is being constructed
A square
Step-by-step explanation:
because there're only 2 circles being create whereas with an equilateral
Answer:
A square
Step-by-step explanation:
Find the area of the triangle, WILL GIVE BRAINLIEST
Answer:
10 cm^2
Step-by-step explanation:
area= 1/2 b*h
1/2 (5) (4)
= 1/2 (20)
=10
area= 10cm^2
Answer:
a = 10cm²
Step-by-step explanation:
a = (1/2)bh
a = (1/2)(5)(4)
a = 10cm²
I need help please :)
4( x + 2) + 6x in the simplest form
Answer:
10x+8
Step-by-step explanation:
4( x + 2) + 6x
Distribute
4x+8 +6x
Combine like terms
10x+8
Answer:
10x+8
Step-by-step explanation:
4x+8+6x
(4x+6x)+8
10x+8
fill in the blanks
864+2006=--------+864
5351 +(574+799)= 574+(5351+_____)
Answer:
2006
799
Step-by-step explanation:
Given the expression:
The right hand side of the sun must be equal to the left hand side ;
Therefore ;
864+2006=--------+864
The sum of 864 and 2006 must be equal to the right hand side sum ; hence
864+2006= 2006 +864
Similarly, the left hand side and right havd side must also be equal here ;
5351 + 574 + 799 = 574 + 5351 + 799
Hence, the missing value is 799
The base of a triangle is 9cm correct to the nearest cm.
The area of this triangle is 40 cm2 correct to the nearest 5 cm?.
Calculate the upper bound for the perpendicular height of this triangle.
Answer:
can you show the picture plz
Can somone help me solve this
Answer:
solid shade above
Step-by-step explanation:
graph line same way you would if it was an equal sign
all the y's that are greater are above the line
its solid because is greater than OR equal to. Equal to includes the line itself as a set of solutions
What is the value of “a” in the function equation?
Answer: the value of A is 2
Step-by-step explanation:
Find the surface area of a square pyramid with side length 4 and slant height 5.
Answer:
56
Step-by-step explanation:
the surface area = (4×4) + (4×½×4×5)
= 16 + 40
= 56
ANSWER ASAP!! Use the substitution method to solve the system of equations. 3x+7y=1 and y=x-7
Answer:
x=5
y = -2
(5,-2)
Step-by-step explanation:
3x+7y=1 and y=x-7
Substitute the second equation in for y in the first equation
3x+7( x-7)=1
Distribute
3x+ 7x - 49 = 1
Combine like terms
10x - 49 =1
Add 49 to each side
10x-49+49 = 1+49
10x = 50
Divide by 10
10x/10 = 50/10
x = 5
Now find y
y = x-7
y = 5-7
y = -2
What is the MEDIAN or Q2 of the data set: 24, 25, 29, 30, 31, 31, 32, 34, 34?
Answer:
31
Step-by-step explanation:
Median = middle number in terms of value
Usually the first step is to list the numbers in order from least to greatest however the numbers are already listed in order from least to greatest
24, 25, 29, 30, 31, 31, 32, 34, 34
We the just go to the middle number
The middle number would be 31
So we can conclude that the median is 31
If the original quantity is 14 and new quantity is 35 what is the percent change
Answer:
150%
Step-by-step explanation:
given:
original quantity = 14
new quantity = 35
increased quantity = 35 - 14
=21
percent change = increased quantity /original quentity * 100%
=21/14 *100%
=21100/14 %
=150 %
Simplify each expression by writing the expression without absolute value bars
Answer:
-1
Step-by-step explanation:
When b<4
|b-4| is negative
|b-4| = - ( b-4)
- (b-4) / ( b-4) =
Factoring out (b-4)
-1
