Answer:
y=2x+12
Step-by-step explanation:
We first double the smaller number (2x) and then increased it by 12 (+12), this makes the larger number y.
The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding height.
Answer:
Height of the parallelogram = 37.5 cm
Step-by-step explanation:
As given,
Base of a parallelogram = 75 cm
Height of a parallelogram = 25 cm
As,
we know that
Area = Base × Height
= 75 × 25
= 1875 cm²
As the parallelogram is same
So, Area = Base × Height
⇒1875 = 50 × Height
⇒ Height = [tex]\frac{1875}{50}[/tex] = 37.5 cm
So, we get
Height of the parallelogram = 37.5 cm
[
1
What is the distance between the points (-4, -8) and (10,-8)?
Need help
Answer:
2
Step-by-step explanation:
√(-8-8)^2 +(10+4)^2=
✓-32+28
✓4
=2
25a² -4b²+28bc-49c² factorize
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
Step-by-step explanation:
= 25 a²- ( 4b²- 28bc +49c²)
=. 25a²- {( 2b)²- 2(2b)(7c)+ (7)²}
= 25a²- { (2b - 7c)²}
= (5a)²- (2b -7c)²
= { 5a -(2b-7c)} { 5a+ ( 2b-7c)}
= ( 5a - 2b +7c) ( 5a +2b - 7c)
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
plz you find it useful plz mark my answer as brainlist.
Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=
Answer:
Seventh term is 64
Sum of the first seven terms is 127
Step-by-step explanation:
The common ratio is 2
[tex]a_{n} = a_{1} r^{n - 1}[/tex]
n = 7 and the first term is 1. So,
[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]
Seventh term is 64
[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]
[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]
[tex]= \frac{128 - 1}{1} = 127[/tex]
Sum of the first seven terms is 127
If using the method of completing the square to solve the quadratic equation
x2 + 7x – 27 = 0, which number would have to be added to "complete the
square"?
To determine the constant that makes the expression (x² + kx) a perfect square,
Take the coefficient of the second term which is k and ÷2
In this case, it is (7/2)²
At the end it looks like
x² + 7x + (7/2)² = 27 + 49/4
(x + 7/2)² = 157/4
The number is added is 7/2² or 49/4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x² + 7x – 27 = 0.
Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x
So, x² + 7x – 27 +7/2² - 7/2² = 0.
( x+ 7/2)² – 27- 49/4 = 0.
( x+ 7/2)² = 157/4
Hence, the number is added is 7/2² or 49/4.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ5
give all relationships between angle 1 and angle 2 select all that apply
Answer:
vertical maybe if try it and see
help PLEASE!!! [URGENT]
Please help me........
Answer: i don't know
Step-by-step explanation:
hi i don't know any of this stuff i hope you don't learn anything Bye
6(-5x - 16) = 30y + 84
. What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y S4?
A.(-1, -3)
B.(10, -1)
C.(-4, 6)
D.(-2,-8)
3. Which of the following is not a solution to this system?
Answer:
(-1, -3)
Step-by-step explanation:
What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?
Using the coordinate point (-1, 3)
If x = -1 and y = 3
Substitute into the expressions and check if they are true
2x - 7y >5
= 2(-1)-7(-3)
= -2 + 21
= 19
Since 19 is greater than 5, hence the inequality 19 > 5 is true
Substituting into 3x - y < 4
3(-1)-(-3)
= -3 + 3
= 0
Since 0 < 4, hence this is also true for the inequality.
The coordinate point that satisfies the inequality is therefore (-1, -3)
Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).
(-1,7) X (8,7) Y ( 6-2), ( -3 -2).
10 Points<>I need help ASAP!!!
Answer:
Step-by-step explanation:
A and D
The blizzard company sent a survey to their world of warcraft subscribers and asked if they were expected about the up coming expansion. From the survey, 16 people of the 20 people surveyed said they were excited. A) the probability that 2 people were excited without replacement is
Answer:
0.6316
Step-by-step explanation:
The computation of the probability that 2 people were excited without replacement is shown below:
There is a total of 20 people
out of which 16 are excited and the remaining 4 would be non-excited
Now the probability would be
[tex]= \frac{^{16}C_2}{^{20}C_2}[/tex]
= 0.6316
does anyone know what this is ?
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.
Tan = Opposite/Adjacent
tan(θ) = y/x
Sin = Opposite/Hypotenuse
sin(θ) = y/4
The given relation is ...
tan(θ) = 2·sin(θ)
y/x = 2(y/4)
2 = x . . . . . . . multiply by (2x/y)
_____
Additional comment
Then the angle can be found from the relation ...
Cos = Adjacent/Hypotenuse
cos(θ) = x/4 = 2/4 = 1/2
θ = arccos(1/2) = 60°
and the value of y is ...
y = 4·sin(60°) = 2√3
=. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
per week. Priya starts with $30 in her savings account and adds $15 each week.
After three weeks, who has more money in their savings account? Explain how you know.
a.
Answer:
diego. 80+(5x3)= 95
it isn't priya because 30+(5x3)=45
You deposit $500 in an account that earns 6.5% annual interest compounded yearly. Write a function that represents the balance y (in dollars) after x years.
Answer:
f(x)=.65+y
Step-by-step explanation:
.
The function for compound interest is A = 500 ( 1.065 )ˣ
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the compound interest amount be represented as A
Now , the interest rate r = 6.5 %
The number of times the interest is applied = yearly
The principal amount P = $ 500
n = 1 ( compounded yearly )
t = x ( number of years )
So, the function that represents the balance y (in dollars) after x years is:
y ( x ) = 500 ( 1 + 0.065/1 )ˣ
On simplifying , we get
y ( x ) = 500 ( 1.065 )ˣ
Hence , the function is A = 500 ( 1.065 )ˣ
To learn more about compound interest click :
https://brainly.com/question/21270833
#SPJ2
I dont really understand this question, can anyone help me out?
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Angles.
Complementary angles sum up together to become 90°.
Supplementary Angles sum up together to become 180°.
hence,
1.) Ans ==>Angle ABC and Angle NMP
2.) Ans ==> angle ABC and angle EFG
Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse DF is 13, the length of E F is 5, and the length of E D is 12.
What is the length of the side opposite ∠D?
units
sin(D) =
Answer:
5 and 5/13
Step-by-step explanation:
What is the length of the side opposite ∠D?
✔ 5
units
sin(D) =
✔ 5/13
Can someone solve this equation for me?
[tex]f(x)=(1-0.08)^{(\frac{1}{52})^{12t}[/tex]
Answer:
$\frac{4\cdot\left(5^2\right)^5\left(-20\right)^3\left(-8\ right)^{-6}}{5^{-3}\cdot\:25^3\ ... 3(−8) −65 −3· 25 3(( −5) −2) −4 =−251024 ( Decimal : −0.0244140625) .
Rewrite the function by completing the square.
f(x) = x^2 + 14x + 64
Step-by-step explanation:
step 1. (x^2 + 14x + 49) + 15
step 2. (x + 7)^2 + 15.
If = 58° and m = 120 in, what is the value of p to the nearest tenth of an inch?
Answer:
141.5 in
Step-by-step explanation:
sin 58 = m/p = 120/p
120 = psin58
120/sin 58 = p
p = 141.5 in.
Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side. Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p
flora has a summer job where she earns $9.50 per hour. At this company, employees get a 10% raise after working for 400 hours. If flora works 640 hours over the summer, how much money will she make?
At the student store, pencils are sold in either packs of three or packs of eight.
Without opening any packages, which numbers of pencils is it possible to buy?
Which numbers are impossible?
Answer
4, 7, 5, 10, 13, .......
Step-by-step explanation:
the only numbers that are impossible to get are the non-multiples of 3 and 8
and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to
Mare has a monthly cell phone plan that has a fixed charge of $12 per month plus
$0.30 per text message. Marie wants to spend no more than $40 per month on her
call phone. Which inequality represents the number of text messages, X, that Marie
Please hurry
You need to multiply the cost per text message by the number of messages (x) add that to the fixed charge.
The total of those need to be less than or equal to the amount she wants to spend.
The equation would be written as:
0.30x + 12 <= 40
pregón de servicio
kjjj
Answer:
what
Step-by-step explanation:
what’s the slope_____
Answer:
-4
Step-by-step explanation:
The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).
[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]
Simplify the fraction
[tex]= -4[/tex]
Therefore, the slope of the line is equal to -4.
I hope this helps!
Brandon buys a radio for $43.75 in a state where the sales tax is 7%.
Part 1 out of 2
How much does he pay in taxes? If necessary, round to the nearest cent
Answer:
Tax: $3.06
Step-by-step explanation:
7% of 43.75 = 0.07 × 43.75 = 3.0625
43.75 increase 7% =
43.75 × (1 + 7%) = 43.75 × (1 + 0.07) = 46.8125
Radio: $43.75
Tax: $3.06
Total: $46.81
How can I solve this question?
draw a rectangle triangle :
sin B=8/17 that means that de biggest side are 17 ("hipotenusa"), and another side is 8. Applying de theorem of pythagoras:
[tex]17^{2} =8^{2} +x^{2} \\x^{2} =17^{2} -8^{2}\\x=\sqrt{17^{2} -8^{2}} \\x=5\sqrt{5}[/tex]
Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .
Complete Question:
Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.
Order the values of the differences from least to greatest.
Student: Raj. Difference (in.): 4/5
Student: Clara. Difference (in.): -1 1/2
Student: Jacob. Difference (in.): 0.9
Answer:
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
The greatest is: 0.9
By student names: Clara, Raj and Jacob
Step-by-step explanation:
See comment for complete question
Given
Differences:
[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
Required
Order from least to greatest
We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
First convert fractions to decimal
[tex]\frac{4}{5} = 0.8[/tex]
[tex]-1\frac{1}{2}= -1.5[/tex]
[tex]-\frac{3}{4} = -0.75[/tex]
So, the differences become:
[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]
Now arrange from least to greatest
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
From the above representation,
The greatest is: 0.9
By student names, we have:
Clara, Raj and Jacob
This is done by simply replacing the numbers with the student name.
See attachment for number line
Answer:
4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob
Step-by-step explanation:
Which answer choice correctly identifies the missing information in the problem? Joey and Kirk are in the 6th grade. Kirk is 5 feet 4 inches tall. Joey is 4 feet 8 inches tall. How much taller is Kirk than Joey?
Answer:Kirk is taller than Joey by 8 inches
Step-by-step explanation:
Step 1
Kirk's height is given as =5 feet 4 inches tall.
Joey's height 4 feet 8 inches tall
Difference in height = 5 feet 4 inches
- 4 feet 8 inches
=
Step 2
Bear in mind that 12 inches = 1 feet . Now,8 cannot be subtracted from 4 , so we borrow 1 feet from 5feet, which is equivalent to 12 inches and add to inches so it becomes
4 feet (12+4)inches = 4 feet 16inches
- 4 feet 8 inches - 4 feet 8 inches
= 8 inches
Therefore Kirk is taller than Joey by 8 inches