help please❗❗❗❗❗❗❗❗❗❗❗❗
Valerie cut a piece of material to use as a pattern. She drew a sketch of the piece of material on the coordinate plane below.
If the length of each square represents one inch, what is the length from corner B to corner C?
A.
15 inches
B.
12 inches
C.
14 inches
D.
13 inches
Answers
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Explanation:
There are three methods to solve this problem
--------------------------
Method #1
Let point D be at the location (0,6). So this point is on line BC such that it cuts BC into two pieces of BD and DC.
BD is 7 inches long since it spans from x = -7 to x = 0
DC is also 7 inches long because it spans from x = 0 to x = 7
We can treat everything on line BC as if it was a number line.
So overall, BC = BD+DC = 7+7 = 14 inches
--------------------------
Method #2
Because points B and C are on the same horizontal level, we can subtract the x coordinates of each point. We apply absolute value to ensure the result of subtraction is never negative.
|B-C| = |-7-7| = |-14| = 14
or
|C - B| = |7 - (-7)| = |7 + 7| = |14| = 14
The order of subtraction doesn't matter as long as you use absolute value.
----------------------------
Method #3
We can use the distance formula to compute the distance from B(-7,6) to C(7,6)
So we'll make (x1,y1) = (-7,6) and (x2,y2) = (7,6)
Then we have the following steps
[tex]d = \text{Distance from B to C}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-7-7)^2 + (6-6)^2}\\\\d = \sqrt{(-14)^2 + (0)^2}\\\\d = \sqrt{196 + 0}\\\\d = \sqrt{196}\\\\d = 14\\\\[/tex]
The distance from B to C is 14 inches, which is the same as saying segment BC is 14 inches long.
The distance formula is overkill in my opinion, so method 1 or 2 might be the better option.
Related Questions
If U is a universal set and A is a subset of universal set U, then (A c) c= U.
Select one:
True
False
Answers
HEY MATE THIS IS U R ANSWER
TRUE
HOPE IT HELPS YOU
Can you pls help me hurry thank you
Answers
Answer:
C = 188.4 cm
General Formulas and Concepts:
Math
π (pi) - 3.14159265Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Circumference Formula: C = 2πr
C is circumferencer is radiusStep-by-step explanation:
Step 1: Define
Radius r = 30 cm
Step 2: Solve for C
Substitute in r [Circumference Formula]: C = 2π(30 cm)[Circumference] Multiply: C = 60π cm[Circumference] Multiply: C = 188.4 cmIf I have 1/4 of a tank of gas what fraction represents the amount required to fill my tank
the rest of the way?
Answers
Answer:
1=1 whole full tank
4/4= 1
1/4 = the tank
4/4-1/4= 3/4
The amount required would be 3/4
Simplify.
Remove all perfect squares from inside the square root.
√180
Answers
Answer:
13.42
Step-by-step explanation:
[tex]\sqrt{180} =6\sqrt{5} \\\\6\sqrt{5} =13.42[/tex]
Answer:
answer: [tex]6\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{180} = \sqrt{4 * 9 * 5} \\= 2*3\sqrt{5} \\= 6\sqrt{5}[/tex]
Help pls quick!!!!ALSO TY
Answers
Step-by-step explanation:
6: (5×7)+ (2×9)= 53
7: (6×2)× (3×8) +4= 40
question 8, i havent learnt it yet
Answer:
3. is triangle (3 sides)
4. is pentagon (5 sides)
5. hexagon (6 sides)
What is 0.574 rounded to the nearest hundredth? NEED BY 2 PM! EST
Answers
Answer:
0.57
Step-by-step explanation:
The 7 is in the hundredths place. Next to it is a 4. 4 does not round up, therefore making the answer 0.57.
Hey! Do you mind helping me?
Answers
Answer:
20 - x^2 + y = 28
y+9x > 28
60 / y > 28
Step-by-step explanation:
A + B - _____ = B
PLEASE HELP
Answers
Answer:
A
Step-by-step explanation:
Because if you subtract A from A it gets rid of A leaving only B left.
There are 6 cabbages and 8 carrots in a bag. How many carrots need to be added to make the ratio of
cabbages to carrots 1:3?
Answers
Answer:
10 carrots
Step-by-step explanation:
So we have 6:8 which is 3:4, meaning that something needs to be changed
Solve for x assuming that we have 6 cabbages
1/3=6/x
x=18
Now we have 6:18, which is 1:3 simplified
There are already 8 carrots so subtract 8
18-8=10
HELP URGENT pleasssssseee
Answers
Answer:
your question is not clear so how can I help you
Answer:
iyut lang Yan
idol Yan Ang tamang sagot thank me later
Give the angle classification of the triangle
with side lengths 3 cm, 5 cm, and 7 cm.
Answers
Given:
The sides of a triangle are 3 cm, 5 cm, 7 cm.
To find:
The angle classification of the given triangle.
Solution:
Let a,b,c are the three sides of a triangle ABC, where c is the longest side.
1. Triangle ABC is acute, if [tex]c^2<a^2+b^2[/tex].
2. Triangle ABC is acute, if [tex]c^2=a^2+b^2[/tex].
3. Triangle ABC is acute, if [tex]c^2>a^2+b^2[/tex].
The sum of square of two smaller sides is
[tex]3^2+5^2=9+25[/tex]
[tex]3^2+5^2=34[/tex]
In the given triangle 7 cm is the longest sides. So,
[tex]7^2=49[/tex]
It means,
[tex]7^2>3^2+5^2[/tex]
Since [tex]c^2>a^2+b^2[/tex], therefore, the triangle ABC is an acute triangle.
Use the half-angle formulas to find the exact value of the trigonometric function sin 15°
Answers
Answer:
sin 15° = 0.2588
Step-by-step explanation:
The half angle formula is:
[tex]\sin{(\frac{x}{2})} = \pm \sqrt{\frac{1 - \cos{x}}{2}}[/tex]
sin 15°
The double of 15º is 30º. First quadrant, so the sine is positive.
[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}}[/tex]
Since [tex]\cos{30} = 0.866[/tex]
[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}} = \sqrt{\frac{1 - 0.866}{2}} = 0.2588[/tex]
sin 15° = 0.2588
How much would you need to deposit in an account now in order to have $3000 in the account in 15 years? Assume the account earns 3% interest compounded monthly.
Answers
Answer:
Principal = Total ÷ (1 + Rate)^years
That formula is found here: http://www.1728.org/compint2.htm
Principal = 3.000 / (1.03) ^ 15
Principal = 3.000 / 1.5579674166
Principal = $1,925.59
Step-by-step explanation:
Please help me I wanna get out this class
Answers
area of rectangle is length x width
8x5=40
area of triangle is base x height divide by 2
5x5=25
25 divide by 2 is 12.5
add them together
40+12.4 = 52.4
what number is 22 more than another. Their product is -121. Find the numbers by solving the equation
Answers
Answer:
what is the answers
Step-by-step explanation:
Xy^3
What is the coefficient?
Answers
Only have to do 8 and 9. 10 if you can tho please!!!!!!!
Answers
Answer:
8. a2=b2+c2 i think
9.A4 measures 210 × 297 millimeters or 8.27 × 11.69 inches I THINK
10. im not sure
Step-by-step explanation:
Yolanda needs $300 to buy a TV for her room. She has already
saved $50. She earns $ 10 an hour at her job. Set up and solve an
equation to find how many hours she needs to work to buy the TV.
(Use X +
to set up the equation.)
Answers
Answer:
she will have to work 25 hours
Step-by-step explanation:
$10 per 1 hour she has $50
$300-$50=$250
10 x 25 =250
Find the measure of each angle of the triangle HIJ. There will be three answers. (Hint: find the value of x first.)
Answers
If AC = x + 6, and AB = 15 solve for x.
Answers
AC = AB
15 = 6 + x
15 - 6 = 9
8 cookies eaten in 2 minutes
Answers
Answer:
wow so what's the question then
Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares need to be colored
Answers
Given:
Some boxes are fully colored.
Each fully colored ten block represents 1 whole.
The number of colored boxes will be divided into 11 equal part.
To find:
The number of squares need to be colored on each of the 10 blocks.
Step-by-step explanation:
From the given figure, it is clear that,
Number of colored box = 55
The number of colored box will be divided into 11.
[tex]\dfrac{55}{11}=5[/tex]
Therefore, 5 squares need to be colored on each of the 10 blocks.
9x + 18 - 5x = 2 + 4x
Answers
Answer:
There are no solutions
Step-by-step explanation:
9x+18−5x=2+4x
Step 1: Simplify both sides of the equation.
9x+18−5x=2+4x
9x+18+−5x=2+4x
(9x+−5x)+(18)=4x+2(Combine Like Terms)
4x+18=4x+2
4x+18=4x+2
Step 2: Subtract 4x from both sides.
4x+18−4x=4x+2−4x
18=2
Step 3: Subtract 18 from both sides.
18−18=2−18
0=−16
Answer:
There aren't any values of x that would make the equation true.
NO SOLUTION
Hope this helped <3
When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
B. Multiply 3x−3y=1 by 3, and multiply −2x+4y=2 by −2.
C. Rewrite both equations in slope-intercept form.
D. Add the equations together.
Answers
Answer:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
Step-by-step explanation:
Given
[tex]3x - 3y = 1[/tex]
[tex]-2x+ 4y = 2[/tex]
Required
A good first step
A good first step is to eliminate x and this is done as follows:
Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)
Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)
This gives:
[tex]6x - 6y = 2[/tex]
[tex]-6x + 12y = 6[/tex]
Add both equations
[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]
[tex]6y = 8[/tex]
[tex]y = \frac{4}{3}[/tex]
Hence (a), is true
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.
Answers
Answer:
$3283.2
Step-by-step explanation:
Given data
Principal= $2700
Rate= 4%
Time= 5 years
Required
the final Amount A
The compound interest formula is
A=P(1+r)^t
Substitute
A=2700(1+0.04)^5
A=2700(1.04)^5
A=2700*1.216
A=$3283.2
Hence the balance in the account after 5 years is $3283.2
HELPPPPPPP PLEASEEEE I AM SO DESPERATE
Answers
Answer:
Select A, C, D, and F
Step-by-step explanation:
B is not multiplication
C is correct
D is shorter form, correct
F is correct
Plz mark as brainliest if correct! Have a nice day!!!
Population data from three towns is displayed in the tables below. Which town has grown that follows an exponential model?
Answers
Answer:
Step-by-step explanation:
there is no tables
If you feed your puppy 8 ounces of dog food twice a day how many pounds of food do you feed in one day
Answers
Answer:
u add 8+8 or 8x2 and you get 16 onces then convert that to pounds and you get 1 pounds bc 16 onces = a pound
step-by-step explanation:
brainliest?
add the complex numbers: (4 + 8j) + (-2 - j)
Answers
Answer:
7j+2 or 2+7j
Step-by-step explanation:
(4+8j)+(−2−j)
Subtract 2 from 4 to get 2.
2+8j−j
Combine 8j and −j to get 7j.
2+7j
Complete the sentence
Answers
Answer: b, d
Step-by-step explanation:
Corresponding angles are formed when two parallel straight lines are cut by a transversal
[tex]\angle b=62^{\circ}[/tex]
In the figure, [tex]\angle d\ \text{and}\ 62^{\circ}[/tex] are alternate angle
[tex]\therefore \angle d=62^{\circ}[/tex]