Answer:
[tex]x=2i-2,\:x=-2i-2[/tex]
Step-by-step explanation:
[tex]x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\[/tex]
[tex]\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\[/tex]
A scale drawing of a school bus has a scale of 1 inch to 10 feet. If the length of the school bus is 2 1/2 inches on the drawing, what is the actual length of the bus?
Answer: 25 feet
Step-by-step explanation:
Answer:
25 feet
Step-by-step explanation:
10 times 2 is 20 and half of 10 is 5 so 20 and 5 = 25
Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the
towns can be represented by four points: A, G, M, and W. Given that M is the midpoint of AW and MG =
MA + GA, determine the
proper order of the four towns.
Answer:
W, M, A and G
Step-by-step explanation:
The question is not correct, the correct question is Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the towns can be represented by four points: A, G, M, and W. Given that MG + WM = WG and MA = MG - AG determine the proper order of the four towns.
Answer: The line segment addition postulate states that for a line segment AC with point B which lines on AC, then this equation holds:
AB + BC = BC
Given that MG + WM = WG, this means that point M lies between the segment WG.
Also, MA = MG - AG
MA + AG = MG, hence point A lies between segment MG
Therefore the order of the points is W, M, A and G
1. Estimate
Square root 5
Answer: 25
Step-by-step explanation: 5^2 = 25, 5x5 = 25
Hope this helps!
2.2
did that help at all
Write "twenty-four and seventy thousandths" using base-ten numerals.
Answer:
24.070
Step-by-step explanation:
twenty-four and seventy thousandths
24
and means change from integers to fractions
24 70/1000
or as a decimal
24.070
what is the smallest two digit positive integer such that the product of its two digits is one-half the integer
Let x be the tens and y be the ones digits.
The product of the number is then: 10x + y
The product is 1/2, so you need to multiply the product by 2 and the number:
10x + y = 2(x+y)
10x + y = 2x + 2y
Subtract 1 y from both sides
10x = 2x + y
Subtract 2x from
Both sides
8x = y
X has to be 1 , which would make y 8
The product number becomes 18
Since the product is 1/2, multiply by 2:
18 x 2 = 36
3 x 6 = 18
The answer is 36
Read the word problem below.
Answer:
Step-by-step explanation:
Number 4if x represent the numbers of pencils per box solve the equation 8x4=196so,she put 4 in each boxA class has 30 boys and 20 girls. The average age of
boys is 12 yrs and girls 12 yrs. What is the
average age of the whole class."
Answer:
class has 30 boys and 20 girls the average age of boys is 12yr and girls 12yrwhole age of class is 12 + 12 ÷2
= 24÷2
= 12
Step-by-step explanation:
so the average of whole class is 1214x – 34 = 11x + 29
x=
Answer:
-1.31
Step-by-step explanation:
14x - 11x - 29x = 34
-26x = 34
x = 34/ -26
x= -1.31
A globe has a diameter of 14 inches. Find the volume of the globe. Round your answer to the nearest tenth.
Answer:
1436.8 in³ (nearest tenth)
Step-by-step explanation:
A globe is in the shape of a sphere.
[tex]volume \: of \: sphere = \frac{4}{3} π {r}^{3} [/tex]
Diameter= 2 ×radius
radius of globe
= 14 ÷2
= 7 inches
Volume of globe
[tex] = \frac{4}{3} π {(7}^{3} ) \\ = 1436.8 \: in^{3} \\ (nearest \: tenth)[/tex]
Step-by-step explanation:
We have given that diameter of globe (sphere) is 14 inches,Then it's radius is 14/2 = 7 inches :]To find the volume of sphere we have to use the given below formula :]
[tex] \boxed {\underline{ \underline{\bigstar\:\: \sf Volume \: of \: sphere = \dfrac{4}{3} \pi r^3 \: \: \bigstar}}} \\ \\ [/tex]
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}} [/tex]
[tex]:\implies \sf Volume \: of \: sphere = \dfrac{4}{3} \times 3.14 \times 7 \times 7 \times 7 \: \: \bigg \lgroup \bf{putting \: \pi = 3.14} \bigg \rgroup \\ \\ [/tex]
[tex]:\implies \sf Volume \: of \: sphere = \dfrac{4}{3} \times 3.14 \times 343 \\ \\ [/tex]
[tex]: \implies \underline{ \boxed{ \sf Volume \: of \: sphere = 1436.0267 \: cubic \: inches}} \\ [/tex]
Second attempt at getting this answered Please check the attachment
Answer:
Step-by-step explanation:
-18x+240 , the length of PA is 9x + 120 the length of AQ is 9x +120
The length of PQ is -18x+240
Savanna is ordering crafts for Thanksgiving for her class. Each individual craft cost $1.50. There are a shipping fee and handling fee of $10.00 per order. Why are the quantities important?
Answer:
i smell penys
Step-by-step explanation:
How to find if it is a function or not:
The set of ordered pairs (Z,A) where z is the zip code, and A is the street address.
Answer: It is not a function.
Step-by-step explanation:
A function is something that "eats" an input and transforms it into an output.
We write them as y = f(x)
Where x is the input, and y is the output.
Now, a function has an important rule, for each input x, the function can only "transform it" (or map it) into only one possible output.
This means that, for example, if we have, for x = x1.
And a single
f(x1) = y1
f(x1) = y2
where y1 and y2 are different values.
Then this is not a function, because it is mapping the value x1 into two different outputs.
In this case, we would have:
f(Z) = A.
So Z is the input, but we know that a ZIP code works for an entire city, and in a given city we have lots of different street addresses, then for a single value of the input, Z, we have a lot of possible values of the output.
This means taht the set (Z, A) can not represent a function.
what is 50 divided by 1
Help please. What is the value of the expression?? -16+(-25).
The value of the expression is -41.
Find the distance between the points (-4, 6) and (3, -7)
Answer:
the distance between (-6,4) and (3,-8) is 15 units
Solve for f.
Round your answer to 2 decimals.
9f = {(12f – 2)
Answer:
f=0.67
Step-by-step explanation:
Let's solve your equation step-by-step by isolating f.
9f=12f−2
Step 1: Subtract 12f from both sides.
9f−12f=12f−2−12f
You get:
−3f=−2
Step 2: Divide both sides by -3.
−3f/−3 = −2/−3
You get:
f= 2/3, or f= 0.67
Hope this helps! :)
5. Danny is selling cornhole boards to raise money for a local charity. He rents a booth at the state fair for $250. He sells the boards for $45. It costs him $20 to make each board. How many boards must Danny sell to break even for the cost of renting a booth? *
Answer:
10 boards
Step-by-step explanation:
$450-$250=$200. $20 * 10 boards = $200. $200-$200=0.
Therefore the answer is 10 boards
Answer:10
Step-by-step explanation:
Please help will mark brainliest 15 points answer ASAP.
Use the graph below to fill in the blank with the correct number: (1 point)
f(1) =
Answer:
f(1) = -2
Step-by-step explanation:
Remember that when dealing with functions, it is written in the form of f(x)
We know that f(1) is the value of the function when the value of x is equal to 1
In this problem, look on the graph to see
for x = 1
the value of the function is f(1) = -2
Answer:
-2
Step-by-step explanation:
Which of the following relations ia a function?
A
{(0,1), (0,2), (0,3), (0,4)}
B
{(1,6), (1,7), (7,8), (8,9)}
С
{(2,3), (3,2), (2,4), (4,2)}
D
{(1,1), (3,2), (6,3), (8,4)}
Answer:
i think the answer is c. hope it helps <3
Step-by-step explanation:
Jenna bought 5 reams of paper at the store for a total of $21. The tax on her purchase was $1. Solve 5x + 1 = 21 to determine the price for each ream of paper.
Answer:
$4
Step-by-step explanation:
From the question we have it that jenna bought the 5 reams of paper at a price of 21
The tax on this was $1
The total cost of the paper minus tax = $20
Cost of 1 team = total cost of paper / quantity
= 20/5
From the equation
5x +1 = 21
5x = 21 -1
5x = 20
X = 20/5
X = $4
Therefore we have The cost of a team of paper to be equal to $4
Write 9.1 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answer: 9 1/10 91/10
Step-by-step explanation:
Answer:
9 1/10 and 91/10
Step-by-step explanation:
hope it helps :)
brainliest pls? have a good day/night
4 b + 19 can be translated as "nineteen more than the product of 4 and a number." TrueFalse
Answer:
True
Step-by-step explanation:
Step-by-step explanation:
4b+19
If 19 is added to 4b, then yes, it is 'nineteen more than...'
4b is a multiplication expression in itself and the term 'product' means the answer to a multiplication problem.
So the answer is true.
hope it helps!
Solve the compound inequality 2.1 – 3 < 7 and 5 - 3 < 8
Step-by-step explanation:
2.1--3<7.
--0,9<7
true
5--3< 8
2<8
true
12 people can comfortably fit in a 4x4 foot square. Use this value to estimate the size of a crowd that is 10 feet deep on both sides of street along a 2 mile section of a parade route
hope this helps you out if i doesnt just comment and ill see what i can do
What is 15 to the 7 power divided by 15 to the 4 power equal to?
Answer:
3375
Step-by-step explanation:
Is 29.9 a rational, integer, whole number or all of the above?
Answer:
It is in integer
Step-by-step explanation:
An integer is any number positive or negative. A whole number would not have a decimal and if it were a rational number it could be written as a ratio.
If I add 8.0g of sugar to a cup of tea, and have 2 cups of tea in the morning, how much sugar will I have consumed from drinking tea?
Answer:
1.6g
Step-by-step explanation:
1 cup of tea= 0.8g
2 cups of tea= 0.8g×2= 1.6g
Help on these questions?
Encuentren dos números cuyo cociente sea -1 y que la resta del primero menos el segundo sea -3/2
Answer:
[tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex]
Step-by-step explanation:
Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2
Let two numbers are x and y. When they are divided the quotient is -1. So,
[tex]\dfrac{x}{y}=-1[/tex]
It can also be written as :
x = -y ....(1)
The subtraction of first minus the second is -3/2 .
[tex]x-y=\dfrac{-3}{2}\ .....(2)[/tex]
Use equation (1) in (2),
[tex]-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}[/tex]
From equation (1) : [tex]x=\dfrac{-3}{4}[/tex]
Hence, two numbers are [tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex].
A rectangle has an area of 102cm2. The length of the rectangle is 17 cm. What is the perimeter of the rectangle
Answer:
36
Step-by-step explanation:
To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.