Answer:
After making x the subject of the formula, the formula is:
[tex]x = (b-a)^2[/tex]
Step-by-step explanation:
Given formula is:
[tex]\sqrt{x} +a = b[/tex]
Making a variable subject of a formula or equation means that the variable has to be isolated in the equation to write it in terms of other variables and constants.
So,
In the given formula,
Subtracting a from both sides
[tex]\sqrt{x} +a-a = b-a\\\sqrt{x} = b-a[/tex]
The subject of the formula should not be in radical form.
Taking square on both sides
[tex](\sqrt{x})^2 = (b-a)^2\\x = (b-a)^2[/tex]
After making x the subject of the formula, the formula is:
[tex]x = (b-a)^2[/tex]
In a scale drawing of a house, 2 inches : 5 feet. The actual kitchen of the house will be 17 feet long. How long will the drawing of the kitchen be?
A. 5.2
B. 6.8
C. 7.5
D. 8
Answer:
B, 6.8
Step-by-step explanation:
Let's first find how many feet it is per 1 inch. We can do this by dividing 5 by 2
5/2= 2.5
Now it is 1 inch : 2.5 feet
17/2.5 = 6.8
1 x 6.8 = 6.8
6.8 inches : 17 feet
You could also solve this by doing
17/5 =3.4
3.4 x 2 = 6.8
6.8 inches : 17 feet
PLS HELP FAST!!!!!!!!!!!!
Which diagram shows possible angle measures of a triangle?
A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees.
A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees.
A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees.
a triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
Answer:
A triangle has nagle 35, 120 degrees, and 35 degrees
Step-by-step explanation:
Answer:
The Triangle that has 115 32 33 or B
Step-by-step explanation:
115+32+33=180 All triangle angles measure 180.
Can someone help me answer this pls.
Scale shows weight = 193
Weight of assistant = 135
Weight of dog = x
x = 193 - 135
x = 58
The dog weighs 58 pounds.
Tell whether the ordered pair (2, -5) is a solution of the system:
x + 3y = -13
4x + y = 3
yes or no
B jada writes this equation for the sum of the ages (x)+(x+3) +3(x+3)-1=87 explain the meaning of the variable and each term of the equation.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex](x)+(x+3) +3(x+3)-1=87[/tex]
simplifying the equation
[tex]x+x+3+3x+9-1=87[/tex]
adding similar elements
[tex](x+x+3x)+(3+9-1-87)=0[/tex]
[tex]5x-76=0[/tex]
Thus, the equation is a linear equation in one variable 'x'.
A term is a single mathematical expression, so the simplified expression has two terms which are:
5x-76The term 5x has the variable 'x' of power 1.
The term -76 does not involve any variable, Hence, -76 is a constant term.
What is 3 ÷
2
5
?
The quotient is 7 and
.
A number line going from 0 to 3. Numbers 0, 1, 2, and 3 are marked on the line. Marks divide the spaces between each number into 5 equal parts.
Answer:
The quotient is 7 1/2.
Answer:
1/2
Step-by-step explanation:
got it right on edge
Find the slope of the line that passes through the points (1, -2) and (9,7)
Answer:
9/8
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7 - -2)/( 9 - 1)
= ( 7+2)/( 9-1)
= 9/8
Solve the inequality:
2x - 7<-5 or 10x + 5 >85
Answer:
Step-by-step explanation:
hi its me addison ray
Your teacher is giving a test worth 200 points. There are a total of 32 four-point and
seven-point questions. How many 4 and 7-point questions are on the test?
Answer: a+b=32
4a+7b=200
a = 15
b = 20
There are 15 four pointers and 20 seven pointers. You can plug in the numbers to check.
it only 5 points but it’s okay.
Step-by-step explanation:
Can somebody help me with these? Will mark brainliest!
Answer:
5) rotation
6) rotation
Nicholas has 22 nickels, dimes, and quarters. There are 3
less dimes than quarters and 2 more dimes than nickels.
How much money does he have?
Nickels: 22
Dimes: 24
Quarters: 27
2 more dimes than nickels, we already know that there are 22 nickles so...
Dimes= 24
3 less dimes that quarters ^(we already know how many dimes).
All we have to do is add 3 to the amount of dimes!
Quarters 27
____________________________________________________________
Now to find the amount of money you have to find out what each coin equals and multiply the number of coins by the cost of each coin, and then by 100 because there are 100 cents in 1 dollar.
22 nickels*5/100= $1.10
24 dimes*10/100= $2.40
27 quarters*25/100= $6.75
1.10+2.40+6.75= $10.25
The amount of money he has in $10.25
the given diagram can be used to prove the Pythagorean theorem. which expression represents the total area of the red and blue squares?
Answer: the answer a2 + b2
area of red square = a2; blue square = b2 -> total area = a2 + b2
Step-by-step explanation:
A: x = 3
B: y = 3
C: y = x
D: x = 6
help please
A box of greeting cards contains 20 birthday cards, 15 get-well cards, and 15 thank-you cards.
Find the percent of each type of card in the box
Answer:
Birthday Cards= 40%
Get-well cards= 30%
Thank-you cards= 30%
Step-by-step explanation:
If the sides to a triangle are 20, 40, and 80 cem, is it Right triangle?
Answer: no
because using Pytago theorem, we have:
20² + 40² ≠ 80²
80² + 20² ≠ 40²
80² + 40 ² ≠ 20²
Step-by-step explanation:
Answer:
No, it does not follow the Pythagorean Theorem.
Step-by-step explanation:
A right triangle must follow the equation a^2 + b^2 = c^2 for its sides to be true. 20^2 + 40^2 = 2000.
the square root of 2000 equals about 44.7213595.
Thus, a triangle with sides 20, 40, and 80 is not a right triangle.
N more then then the difference of 7 and 2
Please help me ASAP!!!!
Answer:
what exactly is your question
I really need help so please be right .Write the radical in simplest radical form and you must show all steps please. √(5/8)
Answer:
√5/6
Step-by-step explanation:
2)
2r+8-r=-7 solve the equation
Answer:
r = -15
Step-by-step explanation:
2r + 8 - r = -7
~Combine like terms
r + 8 = -7
~Subtract 8 to both sides
r = -15
Best of Luck!
Answer:
hii
Step-by-step explanation:
Group Like Terms
2r-r+8=-7
Add smiliar elements
r+8=-7
Subtract 8 form both sides
r+8-8=-7-8
SImplify
r=-15
For every 1 litre of water used to make a medicine, 150 ml of sucrose and 600ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
1 litre:150ml:600 ml
Step-by-step explanation:
1 liter water
150 ml sucrose
600 ml saline
Answer:
20:3:12
Step-by-step explanation:
what is the average rate of change?
f(x)=x^2+3
From x=0 to x=3
Answer:
dk
Step-by-step explanation:
d
Graph the line with slope
1/2 and y-intercept -9
Answer:
Step-by-step explanation:
slope is the x axis and y intercept is the y axis
so 1/2 will go on the x axis and -9 will go on the y axis
1/2 uses the rise over run method
Answer:
Answer is in the screenshot. The equation for the line is y=1/2 x - 9
Step-by-step explanation:
To graph a line when you know the slope and y intercept, you make a point on the y intercept. Your y intercept iIs -9 so you would make a point on (0,-9).
After you have the point on (0,-9) you use the slope to create the rest of your line. Slope is just Rise
Run
Your slope is 1/2. That means your next point on the line is up 1 unit and right 2 units. The next point on the line is (2,-8).
find three consecutive integers whose sum is 21
Answer:
6 + 7 + 8 = 21
Step-by-step explanation:
6, 7, and 8 are consecutive integers.
6 + 7 is 13. 13 + 8 = 21. So, 6 + 7 + 8 are consecutive integers that equal 21.
Answer:
6+7+8= 21
Step-by-step explanation:
6,7,8 follow consecutively. and if you add them, the sum is 21
What is the correct answer to this equation 2+10×2-5+3=
Answer:
20
Step-by-step explanation:
apply BODMAS
10*2+3+2-5
20
2.5kg of potatoes cost £1.40
Work out the cost of 4.25kg of potatoes
Step-by-step explanation:
2.5kg=£1.40
4.25kg= x
do cross multiplication
2.5x = 5.95
x=£2.38
Answer= £2.38
5. In the diagram, ABC is similar to ZAX. Given that AZ = XZ = 10 cm, AB = AC = 14 cm and BC = 7 cm, find the length of AX.
Answer:
Given: ABC
CD bisects AB
CD AB
Prove: ACD BCD
Statement
1. ABC
CD bisects AB
CD AB
2. AD DB Side
3. CDA and CDB are right
4. CDA CDB Angle
5. CD CD Side
6. ACD BCD
Reasons
1. Given
2. A bisector cuts a segment into 2
parts.
3. lines form right .
4. All rt are .
5. Reflexive post.
6. SAS SAS
Which Theorem Is Being Used?
Step-by-step explanation:
by SAS since line BD is a perpendicular bisector
Answer:
Pythagoream theorem is being used
Avril is reading the first Harry Potter book, Harry Potter and the Sorcerer's Stone. The book has a total of
308 pages. If Avril has read 33 pages after reading for 18 minutes, will she be able to finish the book in 3
hours? Depending on how long it takes Avril to read the book, how many more minutes will she need or
how many extra minutes will she have before 3 hours have passed?
is y=12x+5 proportional
Answer:
no
Step-by-step explanation:
i think its not proportional because 12 and 5 dont have nothing in common they are not divisble by each other
What is the sum of the coefficients in the polynomial 4x^2-3-7x^3
Answer:
-3
Step-by-step explanation:
Coefficients are numbers before variablesPLEASE ANSWER!!!!! ASAP!!! WILL GIVE BRAINlIST!!!!!!!! THANKS!!!