Answer:
6
Step-by-step explanation:
Factor the numerator, difference of squares
[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )
= x + 3
limit as x → 3 = 3 + 3 = 6
what is the value of x?
x² + 8² = 10²
x² + 64 = 100
x² = 100 - 64
x² = 36
x = 6
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
Help plzzzz for points 30 points
Answer:
B is the correct answer I believe..
Step-by-step explanation:
Answer: I strongly believe it is B
Step-by-step explanation:
More angles? More Spain- without the S. Anyway here we go!
Find the slope of through the two points (3,4) and (-2,3).
Answer:
Slope is 1/5
Step-by-step explanation:
m = (y2 - y1)/ (x2 - x1)
m = (3-4)/(-2-3)
m = (-1)/(-5)
m = 1/5
A pet store employee measures the lengths of two pet snakes, Noodles and Squiggles. Noodles measures 30 inches long, and Squiggles measures 2 feet 10 inches long. Which snake is longer, and by how much?
Answer:
4
Squiggles
Step-by-step explanation:
steps
convert the length of squiggles from feet to inches find the difference1 feet = 12 inches
2 feet = 2 x 12 = 24 inches
length of squiggles = 24 + 10 = 34 inches
squiggles is longer because 34 is greater than 30
difference = 34 - 30 = 4
Complete the table of equivalent ratios.
3
5
10
9
20
25
Answer:
Step-by-step explanation:
The first is 2, the second is 6 and the third is 14.
help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?
Answer:
401(k) plan
Step-by-step explanation:
The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
please help (no links)
Answer:
EZ Excavation: y = 24.5x
Happy Hauling Service: y = 25x
Step-by-step explanation:
✔️Equation for EZ Excavation:
This can be written in slope-intercept form, y = kx
Where k is the unit rate/slope/constant of proportionality
y = cost
x = dirt
Thus,
k = y/x
Using any given pair of values from the table, say, (8, 196),
k = 196/8
k = 24.5
To write the equation, substitute k = 24.5 into y = kx
Thus:
y = 24.5x
✔️Equation for Happy Hauling Service:
This can be written in slope-intercept form, y = kx
Where k is the unit rate/slope/constant of proportionality
y = cost
x = dirt
Thus,
k = y/x
Using the coordinate of any point on the line, say (1, 25),
k = 25/1
k = 25
To write the equation, substitute k = 25 into y = kx
Thus:
y = 25x
what are the values of x and y?
Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]
Hey there,
Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].
x² + y² + 4x + 8y = -11
(x² + 4x) + (y² + 8y) = -11
(x + 2)² + (y + 4)² = 9
If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.
(x - (-2))² + (y - (-4))² = 3²
Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.
Best of Luck!
Answer:
[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]
[tex] \text{redius} : 3[/tex]
Step-by-step explanation:
we are given a circle equation
[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]
we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by
[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]
general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:
[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]
where:
(h,k) is the centrer is the rediousnotice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious
indentifying centre and redious:
rearrange:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]
cancel 11 from both sides:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]
add 4 to the both sides so that the equality don't affect:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]
simplify addition:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]
once again to complete the square add 16 to both sides which yields:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]
complete the squares by using (a+b)²=a²+2ab+b² pattern:
[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]
we can still rewrite it to figure out the redious and the centre:
[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]
therefore we obtain:
centre:(h,k)=(-2,-4)redious:r=3and we are done!
g(x) = 4x + 3; Find g(10)
Answer:
43
Step-by-step explanation:
g(x)=4x+3
plug in 10
g(10)= 4(10)+3
= 40+3
= 43
Answer:
Sorry I just needed points
Step-by-step explanation:
How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.
Answer:
C, you can use rotations to describe a change in the position of a figure.
write the equation of the line in slope intercept form given a table
Answer:
y=3x+1
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
the formula for slope (m) is given as (y2-y1)/(x2-x1)
we can pick any 2 points to use to find the slope. For example, let's use (2,7) and (3,10)
label the points:
x1=2
y1=7
x2=3
y2=10
now substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(10-7)/(3-2)
m=3/1
m=3
the slope of the line is 3
here's our equation so far:
y=3x+b
now we need to find b (y intercept)
because the line will pass through any of the points given on the table, we can use any one of the given points to solve for b
Let's take (2,7) though since it's the first point
substitute 2 as x and 7 as y in the equation
7=3(2)+b
7=6+b
1=b
so our equation is y=3x+1
Hope this helps! :)
A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?
Answer: 90
Step-by-step explanation:
Answer:
90m
Step-by-step explanation:
you have to cross multiply.
1) multiply (12 * 15) and multiply 2 * X)
2) you get 180 = 2x
3) to get X alone divide 180 by 2 and you will get 90meters
Write an algebraic expression that represents
the following phrase:
The product of 8 and 12
Answer:
[tex]8*12[/tex]
Step-by-step explanation:
First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, [tex]8*12[/tex] is the final expression; this equals 96.
20 POINTSS PLEASE HELP
Answer:
14 units
Step-by-step explanation:
find the slope of the line through each pair of points
(3,-2),(-13,-8)
PLEASE HELP, URGENT!!!
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. Write an
equation to determine the cost per box, b.
A super is having a sale on tomatoes, 4 tomatoes for $.98. How much would it cost to buy 10 tomatoes
Answer:
Step-by-step explanation:
We need to multiply 0.98 by 2 which is 1.96 now we need to divide 0.98 by two which is 0.49, so add those together and you have 2.45. Hope this helps :)
-(4k^2-13k-12)+5k^2-8k How would I be able to write this in standard form with the greatest exponent being first.
Answer:
Step-by-step explanation:
Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)
-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k
= -4k² + 13k + 12 +5k² - 8k
Combine like terms,
= -4k² + 5k² + 13k - 8k + 12
= k² + 5k + 12
Like terms are the terms with same variable with same exponent.
(-4k² ) and 5k² are like terms
13k and (-8k) are like terms
PLS HELP ME I DON'T HAVE A LOT OF TIME !!!
Answer:
d
Step-by-step explanation:
What type of real numbers are these.
which graph represents the solution to 7x < 21 or 6x -9 > 21
Answer:
There is no solution, though the lines are confirmed as dashed with the shaded area being on the outer sides.
Step-by-step explanation:
above
Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.
a) How much is the car worth now?
b) How much did the cardecrease in value?
Answer:
The car is worth $4250 now and it decreased by $750
Step-by-step explanation:
5000* .85 is 4250
i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE
Answer:
9x+6
Step-by-step explanation:
simplify polynomials 11x⁴+3x²-10+2x³-3x⁴+9
A large box will hold 1,000 cubic inches. A small box measures 5 inches by 5 inches by 5 inches. How many smaller boxes will the large box hold?
Answer:
8
Step-by-step explanation:
Given data
Volume of large box= 1000cm^3
Dimension of small box
L=5cm
W=5cm
H=5cm
Volume of small box= 5^3
V=125cm^3
Hence the number of small box that can fill the large box is
=1000/125
=8
b) How many edges and vertices does a prism
with a 100-sided end face have?
edges
vertices
If the ratio of radii of two spheres is 4:7, find the ratio of their volumes.
Answer:
volume is equal to ratio
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!