Answer :-
Value of two integers are 22 and 24Step-by-step explanation:
Given :-
The product of 2 consecutive even integers is 528To Find :-
Value of each integersSolution :-
Let one integer be xother integer be x + 2According to question,
Product of two integers = 528↠ (x)(x + 2) = 528
↠ x² + 2x = 528
↠ x² + 2x - 528 = 0
↠ x² + 24x - 22x - 528 = 0
↠ x(x + 24) - 22 (x + 24) = 0
↠ (x + 24) (x - 22) = 0
↠ x = -24 or 22
Hence,
1st integer = 222nd Integer = 22 + 2 = 24Value of two integers are 22 and 24
Step-by-step explanation:
It is given that, The product of 2 consecutive even integers is 528 and we have to find the value of each integers.
So, Let us assume the 1st consecutive even integer as y and the 2nd as (y + 2)Now, As it is stated in the question that the product of 2 consecutive even integers is 528, So
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { y(y + 2) = 528 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y = 528 }}}} \: \: \\ \\[/tex]
Subtracting both sides by 528 we get :
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 528 - 528 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 0 }}}} \: \: \\ \\[/tex]
We have to find two numbers such that,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { p + q= 24 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { p \times q= 528 }}}} \: \: \\ \\[/tex]
The two numbers are 24 and 22. So,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + (-22y) + 24y - 528= 0 }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}(y -22) + 24(y - 22)= 0 }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { (y -22) (y + 24)= 0 }}}} \\ \\ [/tex]
Whether, the value of y is (-24) or 22.[tex] \: [/tex]
So, The first consecutive even integer is 22.
Now,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=y \:+2 \: }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=2 2+2 \: }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=24 }}}} \\ \\ [/tex]
Therefore,
The value of each integer is 22 and 24.Find YW, would it just be 6?
Answer:
6
Step-by-step explanation:
AX=1/2XY,. BX=1/2WX
=) AB||WY and AB=1/2WY. [Midpoint theorem]
=) 2AB=WY
=) 2×3=WY
=)6=WY
PLA MARK IT AS BRAINLIEST (•‿•)(•‿•)(•‿•)
This works for triangles with a Midline having two of these properties:
The midline should be parallel to the third sideThe midline is half as long as the third sideThe third side of the triangle (the one parallel to its midline) is twice the length of its midline.
Example:The given question above:
ΔWYX
(Midline) AB = 3
YW = ?
Solution:
[tex]\frac{1}{2}[/tex] YW = AB
[tex]\frac{1}{2}[/tex] YW = 3
YW = (2)3
YW = 6
#learnwithbrainly
Which equation has a vertex at (0, 5) and focus of (three-halves, 5)?
x = three-halves (y minus 5) squared
x = negative three-halves (y minus 5) squared
x = StartFraction 1 Over 6 EndFraction (y minus 5) squared
x = negative StartFraction 1 Over 6 EndFraction (y minus 5) squared
Answer: C
Answer:
C
Step-by-step explanation:
Edge 2021
Answer:
C
Step-by-step explanation:
Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range
y = x + 2x - 5
Answer:
d. D: allreal numbers
R: y>= -6
Step-by-step explanation:
You are allowed to use a graphing calculator to see the graph. See image.
This curve is a parabola. Upward and downward opening parabolas have a domain of all real numbers. Any x can be found on the graph and/or any x can be used in the equation without limit. That's "all real numbers"
See the graph does not exist below -6. Range is all the y's on the graph and/or all the possible y's the equation will spit out. Here we can clearly see the graph only exists from -6 and up. Range is y>= -6.
Hey.. I’m really stuck on this page of homework, can anyone help?
Answer:
Easy!
Step-by-step explanation:
All you have to do is.. Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.
Hope this helps :)
=
In the accompanying diagram of isosceles triangle ABC,
AB = BC, mZBAC = x, and mLABC = x + 30.
What is the value of x?
B
(x + 30)
A
The value of x is
The measure of the vertex angle is
degrees.
Answer:
x = 50
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
Since triangle ABC is an isosceles triangle the measure of <c is also = x
x + x + x + 30 = 180 add like terms
3x + 30 = 180 subtract 30 from both sides
3x = 150 divide both sides by 3
x = 50
Please help me with question 1.
Answer:
C =66
Step-by-step explanation:
A. Find the perimeter of each figure
(Math) [please answer this correctly] thank you
1. Find the unknown length of the side labeled X.
Answer:
Step-by-step explanation:
The graph below shows the relationship between the number of oranges purchased and the cost. Which statement about the unit rate of the graph is true?
The unit rate is 1.
The unit rate is13
The unit rate is 3.
The unit rate is 9.
Answer: The unit rate is 1/3
Step-by-step explanation:
The slope of the line, which also represents the unit rate, is 1/3.
Find the area of this circle. Use 3.14 for a 11 ft The area of the circle is about ft2. (Round to the nearest hundredth as needed.)
Answer:
Area of circle is 379.94 feet²Step-by-step explanation:
Given:
Radius of circle = 11 feetTo Find:
Area of circle.Solution:
Here given that radius of circle is 11 feet. Using the formula of area of circle we will get the required area of circle
Area of circle = πr²On substituting the required values:
Area = 3.14 × (11)²
Area = 3.14 × 121
Area = 379.94 feet²
Hence,
Area of circle is 379.94 feet²Which method would be the best to solve the following system of equations?
{5z + 3y = -7
{-2x - 3y = 19
Answer:
substitution or elimination
I need help with some geometry workbook pages!
Answer: D
Step-by-step explanation:
5.000g rounded to the nearest whole gram
Answer:
5 g hope this helps
Elaine has three types of nuts, peanuts, cashews and almonds, that she combines and stores in a large container: There are three times as many ounces of peanuts as of cashews. There are 5 more ounces of almonds than cashews_ The total weight of the mixed nuts is 20 ounces: How many ounces are there of peanuts?'
Answer:
There are 9 ounces of peanuts
Make the ounces of cashews equal to three, and this works! Don’t know the math otherwise :|
Juan plays little league baseball. In 36 at-bats, he had 12 hits. What is the ratio of at-bats to hits?
Answer:
The Ratio is 8:16.
Step-by-step explanation:
Given the figure below with mBFA = 166° and mBD = 88°, what is Help
Answer:
it should still be 166
Step-by-step explanation:
because bfa should be the same as bda
that's what i learnt about this
but i did this a long time ago so im about 70 percent sure that this is correct
Does someone know how to do this? I only have a few hours before I have to turn this in
Answer:
Check out the attached photo it might help
A road is 4350m long, correct to the nearest 10 metres. Kirsty drove along the road in 205 seconds, correct to the nearest 5 seconds.
The average speed limit for the road is 80km/h
Could kirsty’s average speed have been greater than 80km/h?
Kirsty's Average speed is not greater than 80km/h
What is speed?Speed is the rate of change of distance.
Analysis:
length of road = 4350m = 4350/1000km = 435/100km
time taken = 205 seconds = 205/3600 hour
Her Speed = 435/100 ÷ 205/3600 = 435/100 x 3600/205 = 76.4km/h
In conclusion, Kirsty's average speed is not greater than 80km/h.
Learn more about speed: brainly.com/question/4931057
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Solve for x.
Enter your answer in the box.
X=
Answer:
x = 30
Step-by-step explanation:
2x - 6
----------- = 9
6
2x - 6
----------- = 9(6)
6(6)
2x - 6 = 54
+6 +6
2x = 60
÷2 ÷2
x = 30
I hope this helps!
If LOVE is a square with LO = 2x + 3 and OV = 9, what is the value of x?
Answer:
3
Step-by-step explanation:
2x+3=9
You have to get rid of the 3 and the operation that is happening between the 2x and 3 is addition so you must do the opposite which is subtract .
2x+3-3=9-3
Cross out the 3's . What you do to one side do it to the other side .So subtract 3 from both sides .
2x÷2=6÷2
Now to get rid of the 2 you divide because the operation that is happening between the 2 and x is multiplication.And what u do to one side do it to the other . So
x= 3
Hope this helps and sorry if you don't under the explanation
Step-by-step explanation:
LO = 2x + 3 and OV = 9,
9=2x+3
9-3=2x
6=2x
6/2=x
x=3
Cathys playing a board game the game pieces are each in the shape of a triangle a triangle has a base of 1.5 inches in height of 2 inches what is the area of the pieces
Answer:
1.5
Step-by-step explanation:
Area of a Triangle = b x h /2
2 times 1.5 is 3, divided by 2 is 1.5
Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 6, 11, 16, ...6,11,16,....
A bag of marbles has 3 red and 6 green marbles. What is the probability of selecting two red with replacement?
Answer:
1/9
Step-by-step explanation:
With replacement, we use the principle of multiplication with counting.
[tex]\frac{3redballs}{9total balls} * \frac{3redballs}{9total balls} = \frac{1}{3}* \frac{1}{3} = \frac{1}{9}[/tex]
The probability of selecting two red marbles with replacement is 1/9.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.
If we select a marble at random from the bag, there are 3 red marbles out of 9 total marbles. After replacing the marble back in the bag, the probability of selecting another red marble is still 3/9 (assuming the first marble selected was red).
To find the probability of selecting two red marbles with replacement, we need to multiply the probabilities of each event happening.
Therefore, the probability of selecting two red marbles with replacement can be calculated as follows:
P(selecting two red marbles with replacement) = P(selecting a red marble) x P(selecting a red marble given that the first marble was red)
P(selecting two red marbles with replacement) = (3/9) x (3/9)
P(selecting two red marbles with replacement) = 1/9
Therefore, the probability of selecting two red marbles with replacement is 1/9.
To know more about probability follow
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pls help me !!
a sector of a circle has a central angle measure of 90°, and an area of 7 square inches. what is the area of the entire circle?
area of the circle = __ square inches
Step-by-step explanation:
area of circle - pie x r x r
22/7 x 7/2 x 7/2 ( 7 as diameter because it's straight line passing through centre)
77/2 is the sq inches
Writing Expressions and Equations the product of 6 and 11
Answer:
The product of 6 and 11 is 66
But what is the reason for this?The product of two or more numbers is the same as multiplying those numbers together. The product will always be the result.
[tex]6 * 11 = 66~or~66 / 11 = 6[/tex]
Notice how the division problem is just the multiplication problem backwards, for the purpose of better understanding.
Hence, the correct answer is 66
Explain the error and solve with correct step.
-5x + 9 - 9x < 21
-4x + 9 < 21
-4x < 12
x > -3
How could you find the distance between the points (-2.5, 4.5) and (1.25, 4.5)?
Answer: By using the distance formula
Step-by-step explanation:
The distance formula can be used to find the distance between two coordinate points, as given here. They come in the order of (x, y) and you would plug in your values.
Need to solve for the distance?
Taking the formula, we will plug in the coordinate points given and solve.
[tex]\displaystyle d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]
[tex]\displaystyle d = \sqrt{(1.25--2.5)^{2} +(4.5-4.5)^{2}}[/tex]
[tex]\displaystyle d = \sqrt{(1.25+2.5)^{2} }[/tex]
[tex]\displaystyle d = \sqrt{(3.75)^{2} }[/tex]
[tex]\displaystyle d =3.75[/tex] units
Write an equation for a direct variation that includes the point (3, 12).
Answer correctly with good explanation. Please and thank you
Answer:
The cost is $352.80
Step-by-step explanation:
step 1. 14 * 12 = 168 ----> find out the area (base times height)
step 2. 168 * 2.10 = 352.80 -----> multiply the area with the cost of per square foot of the carpet
I hope this helped :))
find x - Please help and hurryy!!
thank you
4 X + z = 90- 35 = 55°
4X = 55 - Z
X= (55 - Z) / 4
Further cannot be done.