Answer:
(3, -2)
Step-by-step explanation:
In order to find the focus of a parabola, you must know that the equation of a parabola in a vertex form is y=a(x−h)2+k where a represents the slope of the equation. From the formula, we can see that the coordinates for the focus of the parabola is (h, k+1/4a).
Factor 2x² + 13x + 20
Answer:
(2x+5)(x+4)
Step-by-step explanation:
9514 1404 393
Answer:
(x +4)(2x +5)
Step-by-step explanation:
To factor this, you look for factors of 2·20 = 40 that have a sum of 13.
The factor pairs of 40 are ...
40 = 1·40 = 2·20 = 4·10 = 5·8
The sums of these factor pairs are 41, 22, 14, 13. The last one is the one we want.
There are several ways to use this factor pair. One of the more straightforward methods is to rewrite the middle term as a sum using these numbers:
2x² +5x +8x +20
= x(2x +5) +4(2x +5) . . . . . factor pairs of terms
= (x +4)(2x +5) . . . . . . . . . factor out the common factor
Rewrite the expression in the form b^n b^10÷b^6=
Answer:
[tex] {b}^{10} \div {b}^{6} = {b}^{4} \\ \\ \frac{ {b}^{10} }{ {b}^{6} } = b^{10 - 6} = {b}^{4} [/tex]
I hope I helped you^_^
phương trình vi phân tuyến tính cấp 1: xy' - 2y = 2x^4
Answer:
.........................
Step-by-step explanation:
............................................................................
Find the value of x.
Answer:
x=60
Step-by-step explanation:
x=180-120
please help l am in big problem please☹️☹️☹️
Step-by-step explanation:
they are all just trignometric formulas
Tamara rode her bicycle 8 miles in 0.5
hours. What was the average rate that
she rode her bicycle in miles per hour?
pls give me the step by step
Answer:
16 miles per hour (mph)
Step-by-step explanation:
Okay, so the beginning of the question states that Tamara rode her bicycle 8 miles in 0.5 hours.
0.5 is equivalent to 1/2 (one-half).
This means that she rode 8 miles in just half of an hour (30 minutes).
If she continues at this rate, she will have rode another 8 miles in the next 30 minutes.
And, 8 + 8 = 16.
Therefore, the average rate that she rode her bicycle is 16 miles per hour (mph).
Let me know if you have any questions.
Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.
Step-by-step explanation:
your answer
mark me a brainlistAnswer this question please
9514 1404 393
Answer:
A. 500 cm²
Step-by-step explanation:
The height of the piece of cardboard is the same as the height of the prism: 20 cm.
The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.
The area of the cardboard is the product of its height and width.
A = HW
A = (20 cm)(25 cm) = 500 cm²
Jordan has $20 to share among three people Jordan types 20÷3 into his calculator and gets 6.666666667 where should Jordan round
Answer: to the nearest tenth i believe, 6.8
Step-by-step explanation:
The round off should be ones place.
What is Rounding Off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
Given:
20÷3
The resulting value is 6.666666667.
So, divide the money it should be round off to ones place to get a whole number which can make it easy to divide.
Hence, the round off should be ones place = 7
Learn more about rounding off here:
https://brainly.com/question/13391706
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Given the explicit formula for an arithmetic sequence find the term
named in the problem. *
an = 21 + (n − 1) • 45
Find a38
Answer:
Step-by-step explanation:
n = 38
a38 = 21 + (38 - 1)*45
a38 = 21 + 37*45
a38 = 21 + 1665
a38 = 1686
The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day
Answer:
45000rupees
Step-by-step explanation:
cost of 1 litre of petrol=60rupees
cost of 750 litres of petrol=750×60rupees
=45000rupees
what is a radian measure of a 75° angle?
Answer:
1.309
Step-by-step explanation:
75° =the radian of 1.309
hope it's right have a great day!
Answer:
[tex] \frac{5 {\pi}^{c} }{12} [/tex]
Step-by-step explanation:
Radian measure of 75°
[tex] = 75 \times \frac{ {\pi}^{c} }{180 \degree} \\ \\ = \frac{5 {\pi}^{c} }{12} [/tex]
Given the form of the equation 3x + 2y = 3 and x – 3y = -10. Then determine the result of 3x - y !
Answer:
-6
Explanation:
x= -1 and y=3
3x- y
=> 3(-1)-3 = -3-3= -6
Answer:
3x – y = -6
Step-by-step explanation:
To solve on the problem above, you can do it by substitution and elimination of the two equations.
3x + 2y = 3
➡️ 3x + 2.3 = 3
➡️ 3x + 6 = 3
➡️ 3x = -3
➡️ x = -1
➡️ 3x – y = 3(-1) – 3
➡️ = -3 – 3 = -6 ✅
Multiply -7/-6 x 7 x 1/3 write in simplest form
Step-by-step explanation:
Multiply -7/-6 x 7 x 1/3 write in simplest form
Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y = 4 - 3x\\y = -3x+4[/tex]
Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].
Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,5) and solve for b:
[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+8[/tex]
I hope this helps!
4. A craft store offered sewing classes on 12 of the 30 days in November.
What decimal is equivalent to the fraction of days in Movember that classes were
offered at the restaurant?
A
0.4
C. 0.5
B.
0.6
D. 0.3
Answer:
A. 0.4
Step-by-step explanation:
Write 12 of 30 as a fraction:
12/30
Convert this to be a fraction over 100 by setting up an equation:
Variable x = proportional answer to 12/30
12/30 = x/100
Cross multiply:
12 × 100 = 30 × x
1200 = 30x
40 = x
40/100
Convert this number into a decimal by adding a zero and decimal point before the "4" in 40:
0.40
Simplify:
0.40 = 0.4
I converted it into a decimal through the use of fractions, but you can also find the answer by doing long division: 12 ÷ 30. However, showing work for long division over a message is too complex so I solved the problem this way instead.
if 5-3(2a+1)=-4a+10, what is the value of a+2
Answer:
-2
BRAINLIEST, PLEASE!
Step-by-step explanation:
5 - 3(2a + 1) = -4a + 10
5 - 6a - 3 = -4a + 10
2 - 6a = -4a + 10
-2a = 8
a = -4
-4 + 2 = -2
Answer:
a+2 = -4+2 = -2
Step-by-step explanation:
5-3(2a+1)=-4a+10
Distribute
5 - 6a -3 = -4a +10
Combine like terms
-6a +2 = -4a +10
Add 6a to each side
-6a+2 +6a = -4a+6a +10
2 = 2a+10
Subtract 10 from each side
2-10 =2a+10-10
-8 = 2a
Divide by 2
-8/2 =2a/2
-4=a
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
round 6.7 to the nearest whole number.
Answer:
7[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
Answer:
9Step-by-step explanation:
[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
[tex] = 1 + 8 - 0[/tex]
= 9 (Ans)
What is the relationship between the 6s in 675,002 and 385,621?
Answer:
6647 is a whole. For you to know the relationship between the 6s in this number write their values. The value of the first 6 is 6000. The value of the second 6 is 600.
If a = b, then a^2 = b^2
What is the proof of this statement?
Step-by-step explanation:
a²=b²
since a=b, therefore we can write a in place of b or b in place of a,
a²=a² or b²=b²
Hence, it is proved.
I hope it helped U
I hope it helped Ustay safe stay happy
6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.
Answer:
60:20
100:?x
60×x=100×20
=33.333 %
58 round of to the nearest 10
Answer:
58 to the nearest ten is = 60
Answer:
Here is your answer ⤵️
58 rounded to the nearest tens is 60.
Write the vector in component form.
Answer:
8i+3j
Step-by-step explanation:
let point P2(0,3)
point P1(-8,0)
vector P1P2= Position vector of P2- position vector of P1
vector= (0,3)-(-8,0)
vector= (8,3)
vector=8i+3j
Please help!
Find the value of x for which ABCD must be a parallelogram.
Answer:
x=5
Step-by-step explanation:
5x-8=2x+7
5x-2x=7+8
3x=15
X=15/3
x=5
Answer:
5
Step-by-step explanation:
cause
angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7
5x-2x=7+8
3x=15
or x=5
Supervisor: "You have been averaging 55 sales per day. Per our new policy, everyone
needs to increase his or her sales per day by 10% in the next month. Rounding up, by
next month you will need to be up to
sales."
Answer:
22
Step-by-step explanation:
Find the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 πpi and enter your answer as a decimal
Answer:
C (circumference) = 2 pi R for circle
A (arc length) = R * theta = pi R = pi * 9 = 28.27
The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?
6.0 cm
6.1 cm
8.4 cm
8.5 cm
Answer:
6.1 cm
Step-by-step explanation:
it depends on what your teacher told you and wants to see.
because, theoretically, it would be 6.0 cm. but that would render the whole triangle into a flat line, as the 2 equal sides together (2×6 = 12) would be exactly as long as the baseline (12) of the triangle.
which is again a theoretically possible construct (counting as extreme triangle).
but it is more likely that your teacher wants the definition applied that for each combination of 2 sides this combination has to be larger (and not larger or equal) than the third side.
so, the 2 equal sides have to be larger than 6 cm.
the smallest number in your answer options to fit that criteria is 6.1 cm
just FYI - your teacher was not very precise in the phrasing, because there are many numbers smaller than 6.1 that would still be correct.
like 6.01, or 6.005, ...
Rounded to the nearest tenth, the smallest possible length is 6.1 cm.Thus, the answer is B) 6.1 cm.
In an acute isosceles triangle, the longest side is opposite the largest angle. Since the triangle is isosceles, the two congruent sides are equal in length.
In an acute triangle, the largest angle is less than 90 degrees. In an isosceles triangle, the two base angles are congruent. Therefore, each base angle must be less than 45 degrees.
Now, let's apply the triangle inequality theorem to determine the smallest possible length of one of the congruent sides. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the longest side is 12 centimeters. Let's assume each of the congruent sides has a length of x centimeters.
Based on the triangle inequality theorem, we have the following inequality:
2x > 12
To find the smallest possible length, we divide both sides of the inequality by 2:
x > 6
Therefore, the smallest possible length of one of the two congruent sides is greater than 6 centimeters.
Rounded to the nearest tenth, the smallest possible length is 6.1 cm.
Thus, the answer is B) 6.1 cm.
To know more about congruent sides , here
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The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?
Answer:
41
Step-by-step explanation:
i think i dont know that much