Answer: x = 3, 19
Step-by-step explanation:
Given
Two points i.e. [tex](11,2)\ \text{and}\ (x,-4)[/tex] are given
Distance between them is 10 units
Distance is given by the distance formula
[tex]\Rightarrow d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between two points is
[tex]\Rightarrow 10=\sqrt{(x-11)^2+(-4-2)^2}[/tex]
Squaring both sides
[tex]\Rightarrow 100=(x-11)^2+(-6)^2\\\Rightarrow 100=x^2+121-22x+36\\\Rightarrow x^2-22x+57=0\\\Rightarrow x^2-19x-3x+57=0\\\Rightarrow x(x-19)-3(x-19)=0\\\Rightarrow (x-19)(x-3)=0[/tex]
i.e. [tex]x\ \text{can be }\ x=3\ or\ 19[/tex]
There are 52 crayons in a box. There are 10 boxes in a carton. Mr. Johnson ordered 5 cartons of crayons for the school. How many crayons did he get?
Answer:
2,600 crayons
Step-by-step explanation:
10 boxes in a carton
5 cartons
10x5=50
52 crayons in a box
52x10=2,600 crayons
:)
Answer:
2,600
Step-by-step explanation:
If there are 52 crayons in a box, and 10 boxes in each carton, we know that there are 520 crayons in one carton. (52 x 10) If Mr. Johnson ordered 5 cartons,
520 x 5= 2,600. So, he would get 2,600 crayons.
If I helped you, please mark me brainliest!
:)
A diver is at 20m below sea level, write his depth as a directed number
Answer:
it has to be negative because it's below sea level so it's -20
Nikki has $10 to buy snacks. She buys 2 candy bars that are $0.79 each, and she buys a pa
cookies that cost $3.89. How much did she spend in all on snacks?
Answer:
$5.47
Step-by-step explanation:
You multiply 2 by 0.79. Then you add that result (1.58) to 3.89 and you get your answer.
A line intersects the point (-3, -7) and
has a slope of -3. What is the
slope-intercept equation for this line?
Answer:
y=-3x-16
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-3(x-(-3))
y+7=-3(x+3)
y=-3x-9-7
y=-3x-16
Describe how your figure would translate given the rule. (x + 5, y - 3)
Answer: Translate 5 units to the right, 3 units down
=============================================================
Explanation:
The x+5 means we add 5 to each x coordinate. A point like (1,2) moves to (6,2) after adding on 5 to that coordinate. This visually means the point moves 5 units to the right.
The y-3 means we shift 3 units down because we subtract 3 from the y coordinate. So for example, the point (6,2) moves to (6,-1).
Overall, the rule [tex](x,y) \to (x+5, y-3)[/tex] means a point like (1,2) will move 5 units to the right and 3 units down to arrive at (6, -1). I recommend you try out more examples.
the answer choices are :
Trinomial
Monomial
Binomial
None of these
Answer:
Trinomial
Step-by-step explanation:
It has three terms
Answer:
Trinomial
Step-by-step explanation:
there are 3 variable things
BRAINLIEST GURANTEED
Given:
The function is
[tex]h=3+25t-5t^2[/tex]
To find:
The values of t where h is 8 meters.
Solution:
We have,
[tex]h=3+25t-5t^2[/tex]
Putting h=8, we get
[tex]8=3+25t-5t^2[/tex]
[tex]0=3+25t-5t^2-8[/tex]
[tex]0=-5+25t-5t^2[/tex]
[tex]0=-5(1-5t+t^2)[/tex]
Dividing both sides by -5 and interchanging the sides, we get
[tex]1-5t+t^2=0[/tex]
[tex]t^2-5t+1=0[/tex]
Here, [tex]a=1,b=-5,c=1[/tex].
Using quadratic formula, we get
[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]t=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
[tex]t=\dfrac{5\pm \sqrt{25-4}}{2}[/tex]
[tex]t=\dfrac{5\pm \sqrt{21}}{2}[/tex]
It can be written as
[tex]t=\dfrac{5-\sqrt{21}}{2}[/tex] and [tex]t=\dfrac{5+\sqrt{21}}{2}[/tex]
[tex]t=0.20871215[/tex] and [tex]t=4.7912878[/tex]
[tex]t\approx 0.21[/tex] and [tex]t\approx 4.79[/tex]
Therefore, the required values of t are 0.21 and 4.79.
GIVING BRAINLIEST
If you receive three successive discounts of 36%, 25% and 30%, you receive the same savings as one big discount of:
a) 33.6% b) 66.4% c) 71% d) 88% e) 88.5%
Answer:
B, 66.4%
Step-by-step explanation:
A theme park want to know which new ride option is the most appealing to customers. Which sampling method produces an unbiased representative sample.
A Survey 100 randomly selected parents in a theme park.
B Survey 30 customers to enter the theme park
C Survey the first 80 teenagers to enter the theme park
D Survey the first 250 customers in the line
Answer:
i would chose a or b
Step-by-step explanation:
you want to get the one person that have the most valubale commet so pick random coustimers i wouldnt pick d becuase you are probably going to get the same answer
Answer:
survey 100 randomly selected parents in a theme park
Step-by-step explanation:
random selection.It is considered a fair way to select a sample from a larger population. (since every member of the population has an equal chance of getting selected).
20 points!!!!! Please help!!!
Which set of numbers is included in the solution set of 4-3x<-2 look at image above
Answer:I belive the asnswer is D but i would get a second vote here
Step-by-step explanation:
Given the function f(x), what is the transformation f(x-r), is a real number and r>0?
A the graph shifts r units down
B the graph shifts r units up
C the graph shifts r units right
D the graph shifts r units left
Answer:
0 - r = the graph shifts r units left
Step-by-step explanation:
When you have 2 x intercepts of 0, -r then you shift left to negative
It takes an ant farm 6 days to consume 3/8 of an apple. (Show all work) At that rate, in how many days will the ant farm consume 3 apples?
Answer: 48 days
Step-by-step explanation:
Given
Ant takes 6 days to consume [tex]\dfrac{3}{8}[/tex] of an apple
Using unitary method
[tex]6\ \text{days}\rightarrow \quad \frac{3}{8}\ \text{of an apple}\\\\1\ \text{apple takes}\rightarrow \quad \frac{8}{3}\times 6=16\ \text{days}\\\\3\ \text{apples take}\rightarrow\quad 16\times3=48\ \text{days}[/tex]
how do i calculate the portion walking in degrees total hours (50) and walking is (10)
PLEASE HELP! 20 PTS
Choose ALL that apply for spring tides
Question 1 options:
Moon, Sun, and Earth are perpendicular
Moon, Sun, and Earth are aligned
Highest of the high tides and lowest of the low tides.
Occur twice a month
I tried A and B. and it was wrong.
Answer: The answers are B, C, and D (I took the quiz and it was right)
Answer:
B: Moon, Sun, and Earth are aligned
C: Highest of the high tides and lowest of the low tides.
D: Occur twice a month
Step-by-step explanation:
I took the test its right, trust me
I got 100
please help thank you :)
[tex]x + 30 + 2x + 90 = 180[/tex]
[tex]3x + 120 = 180 \\ 3x = 180 - 120 \\ \: \: \: 3x = 60 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ x = \frac{60}{3} \: \: \: \: \: \: \: \: \: \: \: \\ x = 20 \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
hope it helps you ❣❣ Mark me as brainliestAnswer:
x+30 + 2x + 90 = 180
3x + 120 = 180
3x = 60
x = 20
Step-by-step explanation:
there are 180 degrees in a triangle
For XYZ, QR ll XZ
What is the length of RY?
A. 3
B. 12
C. 13
D. 16
Please help!!!!! ASAP
Answer:
a gain of 3 points
Step-by-step explanation:
8 5/8+ 1 3/8=10
13-10=3
hope this helps
its due today please help will give brainliest
Answer:
1
Step-by-step explanation:
by using Pythagorean theorem we can find the 3rd side;
(5/13)^2 + (12/12)^2 = 169 / 169 = 1
the root of number one is also 1.
Find all angles plssss
Answer:
99
Step-by-step explanation:
All exterior angles should add up to 360. :)
can someone please help? <3
Answer:
A. 5 units is the distance from P to Q
Answer:
A. 5 units
Step-by-step explanation:
Use the formula: √(x2−x1)2+(y2−y1)2
Solve:√((3-(-1))^(2)+((-1)-(-4))^(2))
You'll get the answer: 5
Q1. Prasha has five blocks of wood. The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood.
Answer: Weight of the remaining block of wood =400g
Step-by-step explanation:
Total Weight of five(5) blocks = 3kg = 3000g
Weight of 4 out of the 5 blocks = 650x 4= 2600g
Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks
= 3000g-2600g
=400g
help with this question please
Answer:
A ≈ 28.27
Step-by-step explanation:
A jar contains 660 beans. Of them, 440 are kidney beans and the rest are cranberry
beans. What is the ratio of kidney beans to all beans?
Answer:
Step-by-step explanation:
kidney beans : all beans
440:660 (simplify by dividing each by gcf which is 2^2(5)11=220)
2:3
Answer:
440:660 OR Simplified 2:3
Step-by-step explanation:
You already had the two numbers for the ratio, they added the cranberry beans in the sentence like that to confuse you and draw you away from the real answer. All you needed to do was arrange the numbers into a ratio, and simplify.
These problems are meant to to be confusing, so to stay away from the confusing parts, just reread them and you'll get it correct 24/7!
Hope you get this right.
HELP with part (b)!! will mark brainlest!!!!
Answer:
Step-by-step explanation:
it's 7 b/c everything is halved
please help fast!! Find the total surface area of the following cylinder:
explanation:total=addition
area=base x height plus the width (area the amount beneath the surface).
equation:3cm both sides 3cm
answer: 3+3= 6cm .
Answer: 36
Step-by-step explanation:
Formula: 2 pi rh + 2 pi r2
2 pi 3 • 3 + 2 pi 9
Leave answers in terms of pi
18 pi + 18 pi = 36 pi
Answer = 36
A line passes through the points (-3,0) and (2,5). Find its equation in general
form.
Sara picked 18 to 24 roses she divided flowers into groups so that the same number of tulips and roses were in each bouquet. What is the greatest number of bouquets she could have
Answer:
6 bouquet
Step-by-step explanation:
To obtain the greatest number of bouquet she could have ;
Obtain the greatest common factor of 18 and 24
Factors of 18 : 1 , 2, 3, 6, 9, 18
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24
The greatest factor commo to both 18 and 24 is 6.
Hence, the greatest number of bouquet she could have is 6.
The Pizza Barn sells one customer 3 large pepperoni pizzas and 2 orders of breadsticks for $30. They sell another customer 4 large pepperoni pizzas and 3 orders of breadsticks for $41. How much does the Pizza Barn charge for each pepperoni pizza and each order of breadsticks
Answer:
Pizzas: $8, Breadsticks: $3
Step-by-step explanation:
1. Write an equation.
Let the variables p = price of pizzas, and b = price of breadsticks
The equation: 3p + 2b = $30 for the first customer. The equation: 4p + 3b = $41 for the other customer.
2. Use the Elimination Method.
(4p+3b=41) x3 = 12p+9b=123
- (3p+2b=30) x4 = 12p+8b = 120
------------------------------------------------
8b = 3
Pizzas: $8
Breadsticks: $3
Someone please help me!
Answer:
A = 58
B =:25
Step-by-step explanation:
C = A + B
83 = 9x + 4 + 4x + 1
83 = 13x + 5
13x = 78
x = 78/13
x = 6
A = 9x + 4 = 9 x 6 + 4 = 58
B = 4x + 1 = 4 x 6 + 1 = 25
1 Find the three rational numbers equivalent to each of the following rational number:-
i) -2/5
ii) 3/7
Step-by-step explanation:
the three rational numbers equivalent to each of the following rational number:-
i) -2/5=-4/10,-6/15 and -8/20.
ii) 3/7=6/14,9/21_and 13/28
