Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
Now x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
Here, we are required to express x² + 4x - 7 in the form (x+a)² - b and determine the values of a and b.
The values of a and b are 2 and 11 respectively.By completing the square method;
a = (4/2) = 2.
Therefore, by expanding (x+a)² i.e (x+2)²
We therefore have; x² + 4x + 4
However, the question is given as x²+4x-7
Therefore, by comparison between;
x² + 4x + 4 and x²+4x-7; we have;
4 - b = -7, b = 7+4
Ultimately, b = 11
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Answer:
The size of angle PQR is 150°
Step-by-step explanation:
Lets explain how to solve the problem
- A polygon is regular when all its angles are equal and all its sides
are equal
- The measure of each interior angle an any regular polygon
= , where n is the number of its angles or its sides
∵ PQ and QR are two sides of a regular 12 sided polygon
∴ Q is one of its vertex
- We need to find the size of angle PQR
∵ Angle PQR is an interior angle in the regular 12 sided polygon
∴ n = 12
Use the rule above to find the size of the angle PQR
∵ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of angle PQR = 150°
* The size of angle PQR is 150°
This equation has one solution. 3(x – 2) + 4x = 10(x + 1) What is the solution? A.–5 B.–2 C.StartFraction negative 16 Over 3 EndFraction D.StartFraction negative 16 Over 7 EndFraction
Answer:
-16/3 = x
Step-by-step explanation:
3(x – 2) + 4x = 10(x + 1)
Distribute
3x -6 +4x = 10x+10
Combine like terms
7x-6 = 10x+10
Subtract 7x from each side
-6 = 3x+10
Subtract 10 from each side
-16 = 3x
Divide by 3
-16/3 = 3x/3
-16/3 = x
Answer:
x = -16/3
Step-by-step explanation:
All work is in the image below!
Help. I’m thinking this is either b,c,d not sure which one though
Answer:
D
Step-by-step explanation:
A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:
5y = 4x + 5
5y - 4x = 5.
Answer:
It's C I THINK but it might be D.
Step-by-step explanation:
The ages of kids in a neighborhood are shown below. What is the mode?
5,8,3,1,5, 4, 4, 6, 12, 10,4
Answer:
the mode is 4
Step-by-step explanation:
the 4 appears more than the other numbers
Answer:
4
Step-by-step explanation:
Mode = Number shown the most.
y=a(x-r)(x-s) what is a and r and s ?
Answer:
The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation. Negative a makes an upside-down parabola. Big a (in absolute value) makes a skinny parabola, small a a wider one.
r and s are the zeros of the quadratic function, the values of x that give y=0.
Answer:
a , r, s , x all are variables
please need help I will be MARKING as BRIANILIST, thank you so much.
Answer:
Here is the mpg for each 6 cylinder:
(23), (24), (30), (23) ,(21), (20) ,(23), (21) ,(23), (22)
i : between 20-24 = 9/10
ii between 25-29 = 0/10
iii at least 30 mpg = 1/10
c- 38, 28,25,26,24,25
d- the mileage of six cylinder car is less than the mileage of four cylinder cars using the same amount of fuel. it is somehow accurate, other factor that affects is the model of the car and how big it is.
What is the missing number that will complete the
factorization?
6
8
12
24
Answer:
6
Step-by-step explanation:
6xa is 6a, just like how 2xa is 2a as shown
which inequality is represented by this graph ?
Answer:
D
Step-by-step explanation:
The point is on 4 so it cannot be A or B, and it is a closed circle not an open circle so it cannot be C.
Answer:
x≥4
Step-by-step explanation:
There is a closed circle at 4 which means there is an equal to sign and the lines goes to the right which means greater than
x≥4
Which phrase best describes the figure?
A- concave nonagon
B- convex octagon
C- convex nonagon
D- concave octagon
Answer:
Hi there!
The correct answer is: B. Convex Octagon
Step-by-step explanation:
The figure first classifies as an octagon because it has 8 sides.
Next you can tell whether or not it is concave or convex by remembering: concave has a "cave" in it.
Concave or Convex
A convex octagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. When any internal angle is greater than 180° it is concave.
The given figure is convex octagon. Therefore, option B is the correct answer.
What is octagon?An octagon can be defined as a polygon with eight sides, eight interior angles, and eight vertices. When all the sides and angles of an octagon are equal in measurement, it is called a regular octagon.
Every polygon is either convex or concave. Convex octagons bulge outwards, whereas concave octagons have indentations (a deep recess). Convex octagons are those in which all the angles point outwards. A regular octagon is an example of a convex octagon. The octagon in which at least one of its angles points inwards is a concave octagon.
In the given figure, there are 8 sides and 8 angles.
Therefore, option B is the correct answer.
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Triangle ABC, with the vertices at A(0,0) B(3,5) and C(0,5) is graphed on the set of axes shown below. Name the solid that is formed when triangle ABC is rotated continuously about side AC and state the radius of the solid
Answer:
Solid formed will be a CONE
Radius of the cone = 3 units
Step-by-step explanation:
Given points of a triangle are A(0, 0), B(3, 5) and C(0, 5).
Given triangle is a right triangle.
When the given triangle ABC is rotated about a line AC, a 3D image of a solid will be created in the form of a CONE.
This cone will have the radius = BC
Length of side BC = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
= [tex]\sqrt{(3-0)^2+(5-5)^2}[/tex]
= 3
Therefore, radius of the cone = 3 units
HELPPPPP PLEASE IT'S URGENT!!!!!!
What is the volume of the composite figure? Express the
answer in terms of .
A) 1447 mm
B)1687 mm
C) 3121 mm
D) 4567 mm
Answer:
Step-by-step explanation:
Volume of the hemisphere
V = 2/3π x r^3
= 144π cu. mm
Volume of the cone
V = 1/3π x r^2 x h
V = 168π cu. mm.
Volume of the composite figure
= 144π + 168π
= 312π cu. mm.
What is the percent for;
1. 0.47
2. 0.98
3. 0.25
Don't forget the % symbol on your answer.
Answer:
47%98%25%Step-by-step explanation:
First you have to make it into a fraction, then multiply it by 100 :
Q1.
[tex]0.47 = \frac{47}{100} [/tex]
[tex] \frac{47}{100} \times 100 = 47[/tex]
Q2.
[tex]0.98 = \frac{98}{100} [/tex]
[tex] \frac{98}{100} \times 100 = 98[/tex]
Q3.
[tex]0.25 = \frac{25}{100} [/tex]
[tex] \frac{25}{100} \times 100 = 25[/tex]
the type of food you eat can lead to body odour.
true or false
Which expression is equivalent to 121 - x^2
Answer:
(11-x)x(11+x)
Step-by-step explanation:
Which of the following describe an angle with a vertex at E?
Check all that apply.
The vertex of angle is the middle letter.
E is the vertex so the answers are:
A and C
Answer:
FED and DEF
Step-by-step explanation:
vertex is the middle letter
A museum opened at 8:00 a.m. In the first hour, 350 people purchased admission tickets. In the second hour, 20% more people purchased admission tickets than in the first hour. Each admission ticket cost $17.50.What was the total amount of money paid for all the tickets purchased in the first two hours? Show your work.
Answer: $13,475
Step-by-step explanation:
1st hour = 350
2nd hour = 420
Total 770 x $17.50 = $13475
Simplify the following expression.
(9x+ 2) + 5x
Answer:
14x+2
Step-by-step explanation:
9x+5x+2
14x+2
Solve the following equations using algebraic operations ( 4x-1=2x+11)
Answer:
x = 6
Step-by-step explanation:
4x-1=2x+11
Subtract 2x from each side
4x-2x-1=2x-2x+11
2x-1 =11
Add 1 to each side
2x-1+1 = 11+1
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
directions for constructing the orthocenter of a triangle?
Answer:
6IMRYUr5yt
Step-by-step explanation:
rfuiyrbfbnggrnteetS32
Which of the following is an offer? Select one: a. Hedva walks into the Ferrari Dealership and says, “I am going to buy a car.” b. Lucy says to Zehmer “I bet you wouldn’t sell this house for $50,000.” c. "This car isn't worth what you're charging. d. Bruo says, “I will pay $25 for this book.”
Answer:
D, "I will pay $25 for this book."
Step-by-step explanation
Evaluate the following expression.
(5x)"
1
Answer:
1
Step-by-step explanation:
Anything to the power of zero is one
Two parallel lines are crossed by a transversal. Parallel lines u and w are cut by transversal t. At the intersection of lines u and t, the bottom left angle is 105 degrees. At the intersection of lines w and t, the uppercase right angle is g degrees. What is the value of g? g = 75 g = 80 g = 100 g = 105
Answer:
I think it's 105.
Step-by-step explanation:
The wording is sort of unclear, but I drew it out and it seems that they are alternate interior angles. Alternate interior angles are congruent! If this is not the right answer, please tell me and I might be able to tell another one.
Well, technically, it has to be either 75 or 105, because all of the special relationships of triangles are either that they are supplementary or they are congruent. So if it's not 105, try 75 :)
The measure of the angle "g" is also equal to 105 degrees
Find the diagram attached below;
From the diagram, we can see that angle 105 and "g" are situated at the corner on both lines u and w.
This means that both angles are equal according to the alternate interior angle theorem, hence the measure of the angle "g" is also equal to 105 degrees
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Your fixed expenses are $1,035.65/month and are 36% of your
realized income. Use proportions to compute the realized
income on your budget.
/month
Answer:
Your realized income is an estamated $2876.81 per month
Step-by-step explanation:
36% can be translated to decimal form as 0.36, when multiplying 2876.81 times 0.36 you get 1035.65, making your estimated Total monthly income $2876.81
helpppp plleaassseee
Answer:
the answer is 1/2
explanation:
the answer is 1/2 because 3 is in the middle of 1 through 6 so it would be 1/2
10 Points!!!
Which expression equals the fraction of the square that is shaded dark blue?
Answer:3/8
Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.
Answer:
1/2 * 3/4
Step-by-step explanation:
The enrollment at the 21st Century High School increased from 700
students to 1,200 students over a period of 5 years. What is the
percent increase in enrollment? Round off to the nearest percent.
Answer:
71% = P
Step-by-step explanation:
500/700 = P/100
500(100) =700p
50,000/700 = 700p/700
P=71%
The percent increase in enrollment is, 71.43%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.
Now,
Increased students = 1200 - 700
= 500
Hence, The increased percent is,
⇒ 500 / 700 × 100
⇒ 71.43%
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Find the slope of a line that crosses through (-5,-2) and (9,3)
5 / 14
if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))
Identify which of the labeled angles in the figure is an obtuse angle. answers: A) 2 B) 3 C) 1 D) 4
Answer:
D) 4
Step-by-step explanation:
To start with we can see that on all the line there are little arrows on the end which means that the line continues forever.
C and B are acute angle because we can eyeball that they are less then 90 degrees.
A is most likely to be a right angle because their are two perpendicular straight lines.
D is the correct answer because as I said the lines continue forever. So in that case both lines are not perpendicular or less than 90º.
Answer:
D
Step-by-step explanation:
hey guys can uhelp me with my question please help no one is answering :(
Answer:
Step-by-step explanation:
1)
m=(y2-y1)/(x2-x1)
m=(9-0)/(7-4)
m=9/3
m=3
2)
m=(y2-y1)/(x2-x1)
m=(4-2)/(6-9)
m=2/(-3)
m=-2/3
3)
m=(y2-y1)/(x2-x1)
m=(3-(-1))/4-4)
m=4/0
m=undefined
(vertical line)
can someone please help me on this question?
Answer:
The second figure is rhombus but the first figure is square