Answer:
x = 7, x = -7
Step-by-step explanation:
Hi there!
We are given the following equation:
x²-49=0
And we want to solve it for x
x²-49 is actually written in the difference of squares formula, which is a²-b²=(a+b)(a-b)
In this case, x² and 49 represent a² and b², so we'll need to find a and b
For x², we need to find which number or variable multiplies itself to equal x²; in this case, it will be x (x*x=x²)
For 49, we need to find which number multiplies itself to equal 49; in this case, it will be 7 (7 * 7 = 49)
Thus, a in this case is x, and b is 7
Now substitute these values into the formula.
(a+b)(a-b)= (x+7)(x-7)
Now set (x+7)(x-7) (which is x²-49, just expanded out) equal to 0
(x+7)(x-7)=0
Now using zero product property, split and solve:
x+7=0
subtract 7 from both sides
x=-7
x-7=0
Add 7 to both sides
x=7
Therefore, the answer is x = 7, x = -7 (there are 2 answers here that work!)
Hope this helps!
See more on the difference of squares here: https://brainly.com/question/1414397
How many solutions does the system have?
\begin{cases} y = -2x-4 \\\\ y = 3x+3 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=−2x−4
y=3x+3
the answer of the question is infinite
AC = BC, CP = CQ and <BPQ = 20°
<ACP = ?°
Answer: See attached image
Step-by-step explanation:
A squirrel runs across a road in 3 seconds. The road was more than 34 feet wide. Which inequality can be used to determine the squirrel’s speed? What is the solution to the inequality? Round to the nearest tenth, if necessary. How can you interpret the solution?.
Answer:
✔ 3r > 34
✔ r > 11.3
✔ The squirrel ran faster than 11.3 feet per second.
Step-by-step explanation:
The inequality used to define the squirrel's speed is 3r > 34
What is an inequality?
'In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal.'
According to the given problem,
Let the speed of the squirrel be x feet per second
We know,
Speed × Time = Distance
Distance given is greater than 34 feet
Inequality of the given problem,
3x > 34
⇒ x > 34/3
⇒ x > 11.3 feet/second
Hence, we can conclude that the speed of the squirrel is more than 11.3 feet per second.
Learn more about inequalities here: https://brainly.com/question/15137133
#SPJ2
I NEED HELP ASAP CONGRUENCY IS NOT MY STRONG POINT
Answer:
4.) SAS
Step-by-step explanation:
to sides are congruent and both angles are 90 degrees
Answer:
4)It's RHS i.e. Right hand side
I don't know th full form of HL as there is difference in studies between countries. But right hand side applies when there is 90° angle , hypotenuse and a side equal in both the triangles. Would appreciate if you tell me what HL stands for.
5) ASA
6 SAS
Step-by-step explanation:
5) Angles are equal
the side is same for both the triangle.
6) Sides are given equal.
Angles are vertically opposite to each other.
Which value of x solves the equation below?
10(x - 1) = 8x - 2
x = 6
X = 4
x = 5
x = 2
O Q Q
27 i 15
4. If a car is traveling 20' west of straight south, what is its true bearing? Draw a diagram to
show the path of the car. (10.9 Approaching)
5. If a plane is traveling 30" north of straight west, what is its true bearing? Draw a diagram to
show the path of the plane (10.9 Approaching)
Step-by-step explanation:
straight south is 180°.
so it is 180° 20'.
straight west is 270°.
so, it is 270° 0' 30".
Adwoa made fresh orange juice. If she used 2 oranges per a glass.How many oranges did she use?
Answer:
You have a picture of the problem?
Answer:
12 oranges.
[tex]2 * 6 = 12[/tex]
so that means that she used 12 oranges total for 6 glasses.
Hope this helps! Have a great day. ♣
Can someone help me I'm lost
Answer: [tex]\sqrt{6}[/tex]
This is the same as typing in sqrt(6)
=======================================================
Explanation:
The square has all four sides the same length, which in this case is [tex]\sqrt{3}[/tex] units.
The diagonal of the square splits it into two identical right triangles.
Use the Pythagorean Theorem to find the hypotenuse x, aka the diagonal.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\x = \sqrt{\left(\sqrt{3}\right)^2+\left(\sqrt{3}\right)^2}\\\\x = \sqrt{3+3}\\\\x = \sqrt{6}\\\\[/tex]
Or you can take the shortcut
[tex]\text{hypotenuse} = (\text{leg})*\sqrt{2}\\\\x = \sqrt{3}*\sqrt{2}\\\\x = \sqrt{3*2}\\\\x = \sqrt{6}\\\\[/tex]
Which applies to 45-45-90 right triangles.
let's recall that a square has four equal sides, Check the picture below.
how would you find "b" in the y=mx+b equation? I have the "m" but I cannot find the "b"
[tex] \sqrt[3]{5555} [/tex]
what is the cuberoot of 5555
A rectangular dining room is 7 meters long and 3 meters wide. What is its area?
Answer:
7x3 or 21
Step-by-step explanation:
Answer:
21 feet.
Step-by-step explanation:
You calculate area by using Length x Width. 7x3 = 21.
I need help I have been struggling with this question for 15 minutes
The square of the quantity three less than a number n is seven(answer in an algebraic expression)
Answer:
[tex](n - 3)^2 = 7[/tex]
Step-by-step explanation:
From the question, we understand that the number is n.
Three less than n is:
[tex]n - 3[/tex]
The square is:
[tex](n - 3)^2[/tex]
The square equals 7;
So, we have:
[tex](n - 3)^2 = 7[/tex]
I will mark brainiest
Answer:
C. 63 [tex]cm^{2}[/tex]
Step-by-step explanation:
When trying to find the area of a parallelogram, you multiply the base times the height.
7 x 9 = 63
Therefore, 63 [tex]cm^{2}[/tex] is the correct answer.
-kiniwih426
What is x/4+7=-2 please answer
Answer:
your answer is -36 negative thirty six
Step-by-step explanation:
(-2)-7
(-9)*4
-36
Answer:
x = -36
Step-by-step explanation:
We need to isolate the x in this equation to solve.
1. Subtract 7 from both sides of the equation.
x/4 = -9
2. Multiply 4 from both sides of the equation.
x = -36
x = -36
What is the volume of this rectangular prism?
Answer:
[tex]57,600cm {}^{2} [/tex]
Solving steps:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
=> 40 cm[tex] {}^{2} [/tex] × 30cm[tex] {}^{2} [/tex] × 48 cm[tex] {}^{2} [/tex]
multiply all the numbers
=> 57,600cm[tex] {}^{2} [/tex]
Hi hi hi hi
Answer:
[tex]57,600cm {}^{2} [/tex]
Solving steps:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
=> 40 cm × 30cm × 48 cm
multiply all the numbers
=> 57,600cm[tex] {}^{2} [/tex]
smh other one didnt work what is this someone please tell me
Answer:
x > 125
Step-by-step explanation:
I'm not sure how much you know about solving equations, but solving inequalities is in many ways very similar.
In this inequality, to isolate x, we must multiply both sides of the inequality by 25. This will put x by itself with another number on the other side of the inequality symbol. 5 times 25 is 125, so our final inequality is x > 125.
Hopefully, that's helpful! Let me know if you have any more questions.
The volume of a sphere is 4,186. 7 cubic feet; find the radius of the sphere. Use 3. 14 as an approximation of pi
Answer:
R=9.9983
Step-by-step explanation:
A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided. Input numbers: 1, 2, 3, 4, n. Output numbers: 3, 1, -1, -3, _. Can someone please quickly explain this to me?
Answer:
5 -2n
Step-by-step explanation:
There are several ways you can find the linear function for this table of values.
find the slope and intercept and write the slope-intercept equationfind the slope and use a point to write the point-slope equation; solve for yrecognize the x-values are sequential starting with 1, so the y-values are an arithmetic sequence; write the formula for the n-th term of an arithmetic sequenceUsing the last approach, we see that the first term is 3, and the common difference is 1-3 = -2. Then the n-th term is ...
an = a1 +d(n-1) . . . . . . general term of arithmetic sequence with first term a1 and common difference d
an = 3 -2(n-1) . . . . sequence with a1=3, d=-2
The output when the input is n is ...
3 -2(n -1)
This can be simplified to ...
5 -2n . . . . output for input of n
Please does anyone know the answer to 5^(2m-1)=1/625
Answer:
1/625 0r 0.0016 is the product of the given expression.
Step-by-step explanation:
Step-by-step explanation:
Here, The given expression, 5^{-1} / times 5^-3
We can write, 5^-1 / times 5^-3=/frac{5^{-1}}{5^3} (because we can write a^m=1/a^{-m})
⇒5^-1 / times 5^-3=/frac{1}{5^1/times 5^3}
⇒5^-1 / times 5^-3=/frac{1}{5^{1+3}} (because a^m/times a^n=a^{m+n})
⇒5^-1 / times 5^-3=/frac{1}{5^{4}}
⇒5^-1 / times 5^-3=/frac{1}{625}=0.0016
Dennis has a credit card with an APR of 10. 14% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of November. Date Amount ($) Transaction 11/1 517. 87 Beginning balance 11/9 31. 63 Purchase 11/23 64. 10 Purchase 11/26 65. 75 Payment If the finance charge for November is $3. 82, which method of calculating the finance charge does Dennis’s credit card company use? a. Adjusted balance method b. Previous balance method c. Daily balance method d. There is not enough information to determine which method was used Please select the best answer from the choices provided A B C D.
The method employed by the credit card company is the adjusted balance method, the correct option is A.
What is the adjusted balance method?The adjusted balance method is a financial accounting method that bases finance charges on the amounts owed at the end of the current billing cycle after credits and payments post to the account.
Though the payment is not given but from the beginning balance and the purchases, Dennis owes a certain amount of money.
The finance charge is based on the amount owed by Dennis.
Thus, the method employed by the credit card company is the adjusted balance method.
Learn more about the adjusted balance method here: brainly.com/question/1808408
What is the area of the triangle 3 yd + 10 yd
Answer:
Answer:
The area is 30 sqr yds
Step-by-step explanation:
Let suppose the given area is a box or a room.
Let length = 3yds
Let width = 10 yds
Area of a rectangle or square is = length x width
Area = 3 x 10
Area = 30 yds
Step-by-step explanation:
Answer:
15 yards
Step-by-step explanation:
If there is a triangle of base and height B and H we can find the area by using the formula:
0.5×B×H
0.5×10×3 = 15
Supongamos que estás en el infierno y el diablo te reta a un juego. Él piensa en un número natural.Cada día, tú tendrás una oportunidad de adivinar ese número (él nunca cambia el número que pensó). Si lo adivinas, el diablo te permitirá salir del infierno.Recuerda que tienes una eternidad para adivinar, la pregunta es: ¿Cuál es el orden de los números naturales que adivinarías?
Answer:
En síntesis, se inicia con el número natural más pequeño en el primer y se prosigue con los números siguientes en caso de no dar con [tex]n[/tex], de modo que el participante pasará en el infierno únicamente [tex]n[/tex] días, algo pequeño en comparación con la eternidad.
Step-by-step explanation:
Los números naturales comprenden el subconjunto más pequeño de los números reales conformado por los siguientes elementos:
[tex]\mathbb{N} = \{1,2,3,4,...\}[/tex]
Sea [tex]n \in \mathbb{N}[/tex] el número que tiene el diablo en su mente, tal que [tex]n \geq 1[/tex]. Comenzamos el primer día con 1, si este no corresponde con [tex]n[/tex]. Entonces se utiliza 2 al día siguiente y este no corresponde, se emplea al día siguiente y así sucesivamente hasta conseguir [tex]n[/tex].
En síntesis, se inicia con el número natural más pequeño en el primer y se prosigue con los números siguientes en caso de no dar con [tex]n[/tex], de modo que el participante pasará en el infierno únicamente [tex]n[/tex] días, algo pequeño en comparación con la eternidad.
solve 2x + 12 = -4. show wrk
2x +12=-4
2x= -4-12
2x=-16
x=-16/2
x= -8
Step-by-step explanation:
2x+12=-4
2x=-4-12
x=-16/2
x=-8
hope this helps you
have a good day.
what is 20+60x50/80.2=??
Answer:
57.4064837905
Step-by-step explanation:
MATH
What is the value of s?
units
07
B
a
A
15
5
D
Answer: Ahh yes the value of s is A 15
Step-by-step explanation:
Will someone please help me with this?
Eric think you are cutting board is 10 inches long and 8 inches wide. What is its area ? ASAP PLS
Answer:
80 inches
Step-by-step explanation:
10 x 8 = 80
PLS HELP ASAP!!!
What is the x-intercept of the line with this equation 1/3x +y=-15?
Enter your answer in the box.
(_,0)
Answer:
(-45,0)
Step-by-step explanation:
We know that the x intercept is the point where y equals '0' in an equation. Which means in a function including the y value as a variable, we can substitute 0 for y to get the x intercept!
Here's how you do it:
[tex]1/3x + y = -15\\y=0\\1/3x + (0) = -15\\1/3x = -15\\x = -45[/tex]
That makes the x intercept -45!
Hope I was of assistance! #SpreadTheLove <3
x- intercept = -45
Step-by-step explanation:
equation: 1/3x + y = -15
=> to find intercept, y=0
=> 1/3x + 0 = -15
=> 1/3x = -15
=> 1x = -15 × 3
=> x = -45 / 1
=> x = -45
Divide \frac{\left(10x^4+20x^3-31x^2+x+19\right)}{\left(x+3\right)}
(x+3)
(10x
4
+20x
3
−31x
2
+x+19)
. What is the Remainder?