The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Let the unknown number be "x"
The square of an unknown number is expressed as x²4 times the square of a number is 4x²Seven less than 4 times the square of a number is 4x² - 7If the resulting expression is 18, this will be expressed as 4x² - 7 = 18
Solving the resulting expression
[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]
Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
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Please HELP!!
Which linear inequality is represented by the graph
Answer:
The answer should be y ≤ 1/3x - 1 I believe
.....................................................
Find the measure of the indicated angle to the nearest degree
Please show all steps ty
Answer:
71 degrees
Step-by-step explanation:
1. We know that the angle is unknown as demonstrated by '?'
2. The 17 side is opposite of the unknown angle
3. The 18 side the hypotenuse (not in contact with the right angle)
4. Therefore sine will be used where, sine(degree) = opposite/hypotenuse
5. The equation should be sine(degree) = 17/18
6. Since we don't know the degree we bring sine to the left and has a negative power of 1
7. The equation now becomes degree = sine^-1 (17/18)
8. The answer to this is 70.811... which equals 70 degrees and 48 minutes which rounds to the nearest degree of 71
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
What's the answer to this?
Answer:
3 the answer is 3
Step-by-step explanation:
true of false? the slope of thia equation is zero
y=x+5
Answer:
false
Step-by-step explanation:
no solution
I did it on a graph and I think its true?
Solve 4x + 8y = 16 for x.
O A. x=-8y + 4
O B. x= -2y+ 16
O C. x= -2y+ 4
D. X = 8y + 16
4x + 8y = 16
4x = 16 - 8y
4x = 4 (4 - 2y)
x = 4( 4 - 2y)/4
X = 4 - 2y
X = -2y + 4
A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left?
Answer: (t,u) -> (t-3, u+8)
Step-by-step explanation: Up is the y value and left is the x value.
In the point ( t,u) t is the x value and u is the y value.
Moving to the left, you subtract the value and moving up you add the value.
The answer would be (t, u) → (-t – 3, u + 8)
In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?
Given:
Consider the below figure attached with this question.
[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,
[tex]m\angle 3=m\angle 4[/tex]
[tex](x+30)^\circ=(2x-80)^\circ[/tex]
[tex]x+30=2x-80[/tex]
[tex]x-2x=-30-80[/tex]
[tex]-x=-110[/tex]
[tex]x=110[/tex]
Now,
[tex]m\angle 3=(110+30)^\circ[/tex]
[tex]m\angle 3=140^\circ[/tex]
Therefore, the measure of angle 3 is 140 degrees.
1/2/2/3
Which question can be answered by this expression?
Answer:
1/2 / 2/3
(1*3) / (2*2)
3/4
Two-thirds of a half equals three-quarters
Answer:
no question
Step-by-step explanation:
it cant thats not an answet
Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race? PLEASE HELP IM ON A EXAM!!!
Answer:
student a
Step-by-step explanation:
i just took the exam
A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many months has he been a member?
Answer:
HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(
Step-by-step explanation:
the math team has 11 boys 10 girls and 1 coach. What is the ratio of coach to students?
The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?
2 and 109
2 and -109
-2 and -109
Answer:
-2 and 109
Step-by-step explanation:
just put that
Answer 2 and -109
Step-by-step explanation:
I did the test
how can you use the pythagreom therem to solve real-world problem
Answer:
This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope.
Answer:
Architecture, Engineering, Astronomy, etc.
Step-by-step explanation:
Engineers use the Pythagorean Theorem by knowing the height of the roof and the length for it to cover, and it will result in the diagonal length of the roof's slope. Architects use the Pythagorean Theorem to calculate the heights of buildings and the lengths of walls. Astronomers sometimes use the theorem to calculate the paths of spacecraft, including rockets and satellites.
Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
A school district is planning on buying new desks for its classrooms. Each secondary classroom is to have 5 more desks than an elementary classroom. For 20 elementary classrooms and 25 secondary classrooms, a total of 1,115 desks are needed.
How many desks are to be in each secondary classroom?
Answer:
27
Step-by-step explanation:
which of the following graphs represents a function?
Answer: you didnt post graphs to look at
Step-by-step explanation:
A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.
Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.
PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?
Store A:
Store B:
Store C:
Store D:
Answer:
Store A:
✔ $1.98 per loaf
Store B:
✔ $1.95 per loaf
Store C:
✔ $2.01 per loaf
Store D:
✔ $2.02 per loaf
Step-by-step explanation:
determine the value of x , (5)(x)=0
Answer:
x=0
Step-by-step explanation:
The parenthesis mean that it's multiplication, so it might be easier to convert that to: 5 · x = 0. We then know that anything times zero equals zero, so 5 · 0 = 0! I hope this helps! :)
Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when they taught it to us. PLzzzz.Will make it the brainiest if its corrected and explaining how to solve problems like these.
Answer:
x = 20
Step-by-step explanation:
You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]
a = 12
b = 16
and c would be x.
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
square root
c = 20 or x = 20
Please help
Much appreciated
Answer: First one, 25x^2y^22
Step-by-step explanation:
if you multiply y^5*2 you get y^10 and x^2
that makes x^2y^10
then, if you multiply y^3*4 you get y^12
so you have to add the y s that makes x^2y^22
Andy found these used car prices in the newspaper
Answer:
Good for him also there is no question
Step-by-step explanation:
Answer: whats the car prices that was in the news paper
Step-by-step explanation:
Please help i will mark braniliest and 30 points
If you solve the inequalty 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7
A) x=8
B) x = 7
C) x = 12
D) x= -8
Answer:
D) x = -8
Step-by-step explanation:
All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.
Which triangle is congruent to triangle ABC?
Carmen is admiring a statue in Weston Park from 14 feet away. If the distance between the
top of the statue to Carmen's head is 50 feet, how much taller is the statue than Carmen?
feet
Submit
Work it out
Not feeling ready yet? These can help:
Answer: 36?
It's too short. Write at least 20 characters to explain it well.
helppp this is due at 1:20
Answer:
Total Bill: $138
Step-by-step explanation:
115 * 1.20 = 138
Answer:
138
Step-by-step explanation:
115 × 20% = 23
115 + 23 = 138
Answer is 138
BRAINLIEST
The vertices of an ellipse are (0,-1) and (8,-1). The endpoints of the minor axis are (4,1) and (4,-3). Write the equation of the ellipse in general form
Answer:
x^2+4y^2-8x+8y+4=0
Step-by-step explanation:
The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
What is an ellipse?An ellipse can be defined as a shape that looks like an oval circle.
The equation of an ellipse is
[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]
Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.
The vertices of an ellipse are (0,-1) and (8,-1).
The endpoints of the minor axis are (4,1) and (4,-3).
The following equations take into account the different properties of an ellipse:
[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]
[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]
We get that h = 4 k = -1, a = 4, and b = 2
The standard form of the given ellipse is
[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]
So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.
Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
Learn more about ellipses here:
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SOMEONE PLEASE ANSWER
the equation is 7x-3 over 9 > 8-2x
Answer:
solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]
The graph is attached below.
Option C is correct option.
Step-by-step explanation:
We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]
First we will solve the inequality to find value of x
Solving:
[tex]\frac{7x-3}{9}\geq 8-2x[/tex]
Step 1: Multiply both sides by 9
[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]
Step 2: Adding 3 on both sides
[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]
Step 3: Add 18x on both sides
[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]
Step 4: Divide both sides by 25
[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]
So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]
The graph is attached below.
Option C is correct option.
Solve the system of equations y = -2x - 9 and -x + 3y = 8 using the substitution method.
Answer: (-5,1)
Step-by-step explanation: Explanation in picture.