Answer:
[tex]\boxed{\boxed{b=\frac{d-c}{a}; a\neq 0}}[/tex]
Step-by-step explanation:
[tex]ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\ \boxed{b=\frac{d-c}{a}; a\neq 0}[/tex]
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm? A scalene triangle where all sides are of different lengths. The base of the triangle is labeled 2a, is twice that of the shortest side labeled a. The other side is labeled b.
Answer:
9.3 + b = 14.5
Step-by-step explanation:
We are learning about perimeter.
Look for the formula of the perimeter,
P = a + b + c
The question states "The longest side is twice that of the shortest side."
A is the longest side while b is the shortest side.
The shortest side equation would be found below :
6.2 = 2c
c = 3.1
Making a completion of the longest side :
14.5 = 6.2 + 3.1 + b
14.5 + 9.3 + b
Answer:
B.)
Step-by-step explanation:
Which is an equivalent equation solved for t? t = t equals StartFraction f minus v Over a EndFraction z. t = t equals StartFraction f minus a Over v EndFraction z. t = a(f – v) t = v(f – a)
Answer:
[tex]t=\dfrac{f-v}{a}[/tex]
Step-by-step explanation:
The equation that represents the final velocity of an object is given by :
f=v+at ....(1)
v is initial velocity
a is acceleration rate
t is time
We need to solve the above equation for t.
Subtracting both sides of equation (1) by v
f-v=v-v+at
f-v=at
Dividing both sides of the above equation by a
[tex]\dfrac{f-v}{a}=\dfrac{at}{a}\\\\t=\dfrac{f-v}{a}[/tex]
So, the value of t is [tex]\dfrac{f-v}{a}[/tex].
Answer:
the answer is A
i am doing the assignment right now and i got it correct
Someone help me pleaseeeee!!
Answer:
Answer is attached below :)
(It's the 4th option)
(❁´◡`❁)
Divide 25)1,658.
To find the quotient, start by dividing
into
The required quotient would be 66 8/25 or 66.32 which is determined by dividing 1,658 by any divisor 25.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 12×2 = 24
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have to determine the quotient.
⇒ 1,658 ÷ 25
Apply the Division operation, and we get
⇒ 1,658 / 25
⇒ 66.32
⇒ 66 8/25
Therefore, the required quotient would be 66 8/25 or 66.32.
Learn more about the quotient here:
brainly.com/question/27796160
#SPJ5
OMG OMG OMG PLEASE HELP!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
[tex]\frac{3-\sqrt{3} }{3+\sqrt{3} } *\frac{3-\sqrt{3} }{3-\sqrt{3} } \\\\=\frac{(3-\sqrt{3})^{2} }{(3+\sqrt{3} )(3-\sqrt{3} )} \\\\=\frac{9-2*3\sqrt{3}+3 }{9-3}\\\\=\frac{12-6\sqrt{3} }{6} \\\\=2-\sqrt{3}[/tex]
A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made is 21cm long.Find the area of the enlargement
Answer: The area of the enlargement is 315cm.
Step-by-step explanation:
If the picture has 35cm as the area and it has a length of 7cm then we can find the width by dividing the area by the length.
w= 35/7
w = 5
So in this care the width of the picture in 5cm.
Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply by 3.
In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.
w= 5*3 = 15
The width is 15cm and the length is 21cm so multiply them to find the area.
A = 15 * 21
A = 315cm
What are the steps for using integer tiles to evaluate the expression 45-15?
ООО
Start with 15 tiles and separate them into 3 same-sized groups.
Start with 45 tiles and separate them into 15 same-sized groups.
Assemble 45 groups of 3 tiles each.
Assemble 45 groups of 15 tiles each.
Answer: B. Start with 45 tiles and separate them into 15 same-sized groups
Step-by-step explanation:
In this case, 45 is divided by 15
#1 we should start with the total amount (dividend) that is going to be divided which is 45
#2 we should separate the dividend into the divisors amount which is 15
with all the steps, we will get the 3 groups of 15 which will be the answer
#CarryOnLearning
Answer:
its b sorry im late
Step-by-step explanation:
what’s the answer choice?
Answer:
[tex]\huge\boxed{Option \ A}[/tex]
Step-by-step explanation:
a) 11 + 2x
[More than => Addition, Sum]
b) [tex]\frac{5}{x} - 2[/tex]
[Quotient => Division, Less than => Subtraction ]
c) 4(x+8)
[Product => Multiplication and it says that there are two terms to be multiplied]
1 => 4 and 2 => (x+8)
Where they are multiplied, they are written as:
=> 4(x+8)
Solve n/3 = 16
Please help :)
Step-by-step explanation:
To solve for n, we need to isolate the variable n.
Multiply both sides of the equation by 3 to cancel out the 3 on the left side, and multiply 3 by 16 to get our final answer.
[tex]\frac{n}{3}*3=n\\16*3=48[/tex]
Our final answer: n = 48
I need the answers... Help please
The members of one possible set C ={4,5,8,10}
What are the coordinates of the vertices of ∆A′B′C′ after each movement?
Answer:
multiply each coordinate by 2
Step-by-step explanation:
your welcome
If you're good at math i'd love some help :)
Answer:
x = 10 x = -2
Step-by-step explanation:
(x-4)^2 -28 = 8
This is a parabola on the left and a constant line on the right. The parabola will cross the line twice, so there will be two solutions
see attached
Add 28 to each side
(x-4)^2 -28+28 = 8+28
(x-4)^2 = 36
Take the square root of each side
sqrt((x-4)^2) = ±sqrt(36)
x-4 = = ±6
Add 4 to each side
x-4+4 = 4±6
x = 4+6 x = 4-6
x = 10 x = -2
Answer:
x = 10, and x = - 2
Step-by-step explanation:
This equation has two solutions, as it resembles a quadratic equation. When graphed it will be a parabola, and hence intersects the x - intercept at two points, giving us two solutions.
Let's start by expanding the equation,
(x - 4)² - 28 = 8,
(x - 4)² = 28 + 8,
(x - 4)² = 36,
x - 4 = √36, and x - 4 = - √36
x - 4 = 6, and x - 4 = - 6
Solution(s) : x = 10, and x = - 2
Jordan drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total rime takes half an hour, how far does she live from the store?
Answer:
10 miles away
Step-by-step explanation:
If she travels at only 20 miles per hour, and half of one hour is 30 minutes, then you would divide the amount of miles (20) by 2 to get 10. I'm sorry this isn't the best explanation, but I hope you understand what I am trying to say :((
e=mc^2 solve for c please help will mark brainliest
Answer:
c= - (sqr em)/m
Step-by-step explanation:
Answer:
c = ± [tex]\sqrt{\frac{e}{m} }[/tex]
Step-by-step explanation:
Given
e = mc² ( divide both sides by m to isolate c² )
[tex]\frac{e}{m}[/tex] = c² ( take the square root of both sides )
c = ± [tex]\sqrt{\frac{e}{m} }[/tex]
The integer -2-(-5) can also be written as
Answer: Hello!
-2-(-5) can also be written as -2 + 5.
When subtracting a negative, you're essentially adding, because you are subtracting a negative value. So we would add 5 to -2.
Hope this helps!
Use the distance formula to find the distance between point A(-5, 4) and point B(7, -5)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{15 \: units}}}}}[/tex]
Step-by-step explanation:
Given,
A( -5 , 4 )⇒ ( x₁ , y₁ )
B ( 7 , -5 )⇒ ( x₂ , y₂ )
Finding distance between these two points
[tex] { \boxed{ \sf {{ distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}[/tex]
plug the values
[tex] \sf{ = \sqrt{ {(7 - ( - 5))}^{2} + {( - 5 - 4)}^{2} } }[/tex]
[tex] \sf{ = \sqrt{ {(7 + 5)}^{2} + {( - 5 - 4)}^{2} } }[/tex]
Calculate the sum
[tex] \sf{ = \sqrt{ {12}^{2} + {( - 9)}^{2} } }[/tex]
Evaluate the power
[tex] \sf{ = \sqrt{144 + 81} }[/tex]
Add the numbers
[tex] \sf{ = \sqrt{ 225} }[/tex]
Calculate
[tex] \sf{ = 15 \: units}[/tex]
Hope I helped!
Best regards!!
Louise is making bags of party favors. She has 16 stickers and 24 bracelets. She wants each bag to be alike, and she needs to use all of the stickers and bracelets. What is the greatest number of party bags she can make?
Find the multiples of each number:
16: 2, 4, 8, 16
24: 2, 3, 4, 6, 8, 12
Now for the greatest number of bags, use the greatest common factor.
The greatest common factor is 8
16 / 8 = 2
24 / 8 = 3
She can make 8 bags which contains 2 stickers and 3 bracelets in each bag.
Answer:
8 party bags.
Step-by-step explanation:
We are dealing with greatest common factor.
16= 1,2,4,8
24=1,2,3,4,6,8,12
Now we see the greatest common factor is 8 bags. Since we know its 8 bags, we can make this conclusion. 16/8= 2 stickers each bag. 24/8=3 bracelets each bag. So, the greatest number of party bags she can make is: 8 bags.
More info: 2 stickers each. 3 bracelets each.
Hope this helps! :)
tan(theta)=40/58 How do u solve? How do u isolate theta? show work plz!
Answer:
34.60°
Step-by-step explanation:
[tex] \tan \theta = \frac {40}{58}[/tex]
[tex] \tan \theta = 0.689655172[/tex]
[tex] \theta =\tan^{-1} 0.689655172[/tex]
[tex] \theta =34.592288671\degree [/tex]
[tex] \theta =34.60\degree [/tex]
Answer:
[tex]\Large \boxed{\theta = 34.59228868\°}[/tex]
Step-by-step explanation:
tan(θ) = 40/58
To isolate theta (unknown angle), we must take the inverse tangent of both the sides.
tan^-1(tan(θ)) = tan^-1(40/58)
The inverse tangent and tangent cancels.
Simplify the equation.
θ = tan^-1(20/29)
θ = 34.59228868°
Functions stuff. Picture attached. 30 points. thanks <3
Answer:
A
Step-by-step explanation:
So we have the function:
[tex]f(x)=\frac{3+x}{x-3}[/tex]
And we want to find:
[tex]f(a+2)[/tex]
To do so, substitute in (a+2) for x:
[tex]f(a+2)=\frac{3+(a+2)}{(a+2)-3}[/tex]
Simplify the numerator and denominator. Add 2 and 3 in the numerator. Subtract in the denominator:
[tex]f(a+2)=\frac{5+a}{a-1}[/tex]
The answer is A.
Answer:
[tex]\Large \boxed{\mathrm{A}}[/tex]
Step-by-step explanation:
[tex]\displaystyle f(x) = \frac{3+x}{x-3}[/tex]
For f(a + 2), the input for the function f(x) is (a + 2).
Replacing x with (a + 2).
[tex]\displaystyle f(a+2) = \frac{3+(a+2)}{(a+2)-3}[/tex]
Simplify the rational function.
[tex]\displaystyle f(a+2) = \frac{(3+2)+a}{a+(2-3)}[/tex]
[tex]\displaystyle f(a+2) = \frac{5+a}{a-1}[/tex]
Keisha spent a total of $52 at the grocery store. Of this amount, she spent $39 on fruit. What percentage of the total did she spend on fruit?
Answer:
75%
Step-by-step explanation:
Percentage of total spent on fruit = (39/52)×100%
= 0.75×100%
= 75%
The graph shows the relationship between the height of a tree and its age in years. What is the unit rate of growth for the tree? 0.25 feet per year 0.5 feet per year 2 feet per year 3 feet per year
Answer:
The unit rate is 2 feet per year
Step-by-step explanation:
The graph is missing (See attachment)
To determine the unit growth;
First, we have to pick any two corresponding on the x and y axis
When x = 5; y = 10
When x = 1; y = 2
These can be represented as;
[tex](x_1,y_1) = (5,10)[/tex]
[tex](x_2,y_2) = (1,2)[/tex]
Next, is to determine the slope using;
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute values for x and y
[tex]m = \frac{2 - 10}{1 - 5}[/tex]
[tex]m = \frac{-8}{-4}[/tex]
[tex]m = 2[/tex]
Hence, the unit rate is 2 feet per year
Answer:
the unit rate is 2ft per year i got 100% on a quiz for this
Write the equation of a line that passes a given point and has the given slope. Answer in standard form. 1. Point (-3,5), m = -7 2. Point (4,7), m = 0
Answer:
y -5 = -7(x +3)y = 7Step-by-step explanation:
The point-slope form of the equation can be used for this. It is generally written as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
1. For m=-7, (h, k) = (-3, 5), the equation is ...
y -5 = -7(x +3)
__
2. For m=0, (h, k) = (4, 7), the equation is ...
y -7 = 0(x -4)
y = 7
_____
Comment on the form of the answer
Since a point and slope are given, "the equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...
y -7 = 0
Sometimes, "the equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...
y = -7x -16
There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.
If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
Answer:
[tex](h - g)( - 2) = 18[/tex]Step-by-step explanation:
g(x) = x² - 2x - 6
h(x) = 2x² - 5x + 2
To find (h-g) (-2) we must first find h - g(x)
To find h - g(x) subtract g(x) from h(x)
We have
[tex](h - g)(x) = {2x}^{2} - 5x + 2 - ( {x}^{2} - 2x - 6) \\ = {2x}^{2} - 5x + 2 - {x}^{2} + 2x + 6 \\ = {2x}^{2} - {x}^{2} - 5x + 2x + 2 + 6[/tex][tex](h - g)(x) = {x}^{2} - 3x + 8[/tex]To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2
That's
[tex](h - g)( - 2) = ({ - 2})^{2} - 3( - 2) + 8 \\ = 4 + 6 + 8 \\ = 10 + 8[/tex]We have the final answer as
[tex](h - g)( - 2) = 18[/tex]Hope this helps you
find the slope(-1,-1),(2,-2)
Answer:
[tex]\huge\boxed{slope=-\dfrac{1}{3}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the coordinates of the given points (-1, -1) and (2, -2):
[tex]m=\dfrac{-2-(-1)}{2-(-1)}=\dfrac{-2+1}{2+1}=\dfrac{-1}{3}=-\dfrac{1}{3}[/tex]
Select the correct answer.
Which of the following represents a coefficient from the expression given?
9x - 20 + x2
9
O
20
O
х
x2
What is it ?
Answer:
9
Step-by-step explanation:
edmentum
Maggie earns money from working at the pet store and answering phones. She earns $10 each hour she works at the pet store and $0.25 for each phone call she answers. Maggie answered 60 phone calls and earned $115 last week.
Part A: Create an equation that will determine the number of hours she worked at the pet store. (3 points)
Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)
Part C: How many hours did Maggie work at the pet store last week? (1 point)
Answer:
11hr 20 phone calls
Step-by-step because Maggie earns money from working at the pet store and answering phones. She earns $10 each hour she works at the pet store and $0.25 for each phone call she answers. Maggie answered 60 phone calls and earned $115 last week.
What is the volume of the following prism?
A. 96 in³
B. 480 in³
C. 48 in³
D. 108 in³
Answer:
C
Step-by-step explanation:
To find the volume, we can multiply the area of the base by the height. The base is a triangle so its area is (4 * 3) / 2 = 6 and the height is 8 so the volume is 6 * 8 = 48 in³.
Answer:
C. Vol = 48 in³
Step-by-step explanation:
Vol = base area of a triangle x height.
Vol = ( 1/2 * 3 * 4 ) x 8
Vol = 48 in³
What is 2 3/5 x 1 3/7
math ... answer meeee
You need to find the GCF (greatest common factor) of 45 and 90, which is 45.
45 times ? gets you 45
? would be 1
45 times 1 equals 45.
45 times ? gets you 90
? would be 2
45 times 2 equals 90
45(1+2) = 45+90 = 135
♡ Hope this helps! ♡
❀ 0ranges ❀
Answer:
45(1 + 2)
Step-by-step explanation:
To find the greatest common factor, we find the multiples of 45 and 90.
45: 1, 3, 5, 9, 15, 45
90: 1, 2, 3, 5, 6, 9, 15, 18, 45...
The easier way to do this is divide 90 by 2 to get our GCF, 45.
We place the 45 (GCF) in the first box and we place 1 and 2 in the parentheses because when you distribute, we get our original answer.
45(1 + 2)
Givin the sequence 2,6,10
What are the next numbers in the sequence ?
12,16
16,24
14,20
14,18