Answer:
It is a perfect square expression.
It factors to (x+2)^2
===========================================================
Explanation:
The general format for a perfect square is
(a+b)^2 = a^2 + 2ab + b^2
Which can be seen through the use of the FOIL rule.
Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:
x^2 = a^2 .... first terms4x = 2ab .... middle terms4 = b^2 .... last termsSince x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.
Because a = x and b = 2, we then can say:
(a+b)^2 = a^2 + 2ab + b^2
(x+2)^2 = x^2 + 2*x*2 + 2^2
(x+2)^2 = x^2 + 4x + 4
Showing that x^2+4x+4 factors to (x+2)^2.
Find a and b given f(x) = ax + b, f(1) = 7, and f(3) = -5.
Answer:
a = - 6, b = 13
Step-by-step explanation:
Given f(1) = 7 , that is f(x) = 7 when x = 1
f(3) = - 5 , that is f(x) = - 5 when x = 3
Substitute these values into f(x) = ax + b
a + b = 7 → (1)
3a + b = - 5 → (2)
Subtract (1) from (2) term by term to eliminate b
(3a - a) + (b - b) = - 5 - 7
2a = - 12 ( divide both sides by 2 )
a = - 6
Substitute a = - 6 into either of the 2 equations and solve for b
Substituting into (1)
- 6 + b = 7 ( add 6 to both sides )
b = 13
1. Fred bought 7 new baseball trading cards to
add to his collection. The next
day his dog ate half of his collection. There are
now only 38 cards left.
How many cards did Fred start with ?
Answer:He has 74 baseball cards
Step-by-step explanation:
He has 38 baseball cards left, and since his dog ate half of it he must have had double the amount of cards. So 38 + 38 . This equals to 74.
Answer:3
Step-by-step explanation:
Please answer quick in test!
Answer:
The first one
Step-by-step explanation:
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In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=29°, and QO = 26 feet. Find the length of PQ to the nearest tenth of a foot.
Answer:
SOH-CAH-TOA
x=14.412
x=14.412≈14.4 feet
If the radius of Brenda's bicycle wheel is 13 inches, approximately how many inches are there in the circumference of the wheel?
Answer:
There are approximately 82 inches
Step-by-step explanation:
Here, we want to calculate the circumference of the wheel
To do this, we are going to use the formula for the circumference of a circle
C = 2 * pi * r
C = 2 * pi * 13
= 26 * pi
C = 81.7 inches which is approximately 82 inches
18 points for the answers
Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.
HELP HELP PLS
What was the outcome of the Spanish-American War?
A: The united states gained Cuba and Bahamas.
B: The united states gained the Philippines, Puerto Rico, and Guam
C: The united states gained Alaska and Hawaii
D: The united states gained Panama and Columbia
I’ll mark brainliest
Select the correct answer.
Which function is an odd function?
A. f(t) = cos(-21)
B. f(x)=csc(-921)
c f(t) = sec (533)
D. f(1) = cos(12)
Answer:
b
Step-by-step explanation:
What is the slope of the line?
A. 15
B. 30
C. 18
D. 25
Answer:
15
Step-by-step explanation:
15 is the difference between 15 and 30 where the 2 dots are at
Somebody pls!! “Write the equation of the line in fully simplified slope-
intercept form.”
Answer:
y = 3/5x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope (rise / run of the line) and b is y-intercept (y value of where the line intersects with the y-axis.
The line is rising up 3 and run to the right 5 and so it's slope is 3/5. The line intersects with the y-axis at a y value of 5 and so it's y-intercept is 5.
Therefore, your answer in slope-intercept form is y = 3/5x + 5.
Find the point where the lines intersect: y = 3x and y = x + 16
A: (8,24)
B: (4,12)
C: (4,20)
D: (0,0)
Will give brainliest plz help me and explain how to do it
Answer:
exact form -108/5, decimal form -21.6, and mixed number form -21 and 3/4
How would this following triangle be classified I’ll give brainliest
Answer:
second answer
isoceles rigth
Step-by-step explanation:
Can you prove the figure is a parallelogram based on the given information? Explain.
Answer:
yes it is a parallelogram
Step-by-step explanation:
it is a parallelogram as opposite sides are equal and parallel
Answer:
Step-by-step explanation:
From the given figure, we know that opposite sides are parallel
If two pair of opposite sides are parallel, then it is a parallelogram.
2. Use the figure at the right. In the figure, line m is parallel to line n. Level (3-4)
If m∠4 = 131°, find each given angle measure. Justify your answer.
a. m∠8 =
b. m∠5
c. m∠2
d. m∠1
e. m∠6
f. m∠7
Answer/Step-by-step explanation:
Given:
m<4 = 131°
a. m<8 = 180 - m<4 (linear pair)
m<8 = 180 - 131 (substitution)
m<8 = 49°
b. m<5 = m<4 (alternate exterior angle are congruent)
m<5 = 131° (substitution)
c. m<2 = m<5 (vertical angles are congruent)
m<2 = 131° (substitution)
d. m<1 = m<8 (vertical angles are congruent)
m<1 = 49° (substitution)
e. m<6 = m<1 (vertical angles are congruent)
m<6 = 49° (substitution)
f. m<7 = m<4 (vertical angles are congruent)
m<7 = 131° (substitution)
what is the value of x ?
Answer:
x = 8
Step-by-step explanation:
EF/EC = EG/ED
21/8x-1 = 17/6x+3
cross-multiply:
21(6x+3) = 17(8x-1)
126x + 63 = 136x-17
-10x = -80
x = 8
4 slices of pizza cost $10.50. At this rate, what is the cost of 10 slices of pizza?
Answer:
$42.00
Step-by-step explanation:
Answer:
26.25
Step-by-step explanation:
If 4 slices are 10.50 $ then 8 are 21 $.We need 2 more to reach 10 slices and half of 4 is 2 so half of 10.50 is 5.25 so add 21 $ + 5.25 $ = 26.25.
Alice earns £450 in wages per month.
She pays £200 rent per month.
Next month.
her wages will increase by 2%
her rent will increase by 5%
She says
"The increase in my wages will pay for the increase in my rent."
Is she correct?
You must show your working.
Answer:
false
Step-by-step explanation:
Since in the question it is mentioned that the wages would be increased by 2% and rent would increase by 5%
So, the increased value of both is
= $450 × 1.02
= $459
And,
= $200 × 1.05
= $210
As the wages are increased to $9 and the rent is increased to $10 since the amount is not equivalent to each other so the given statement is false
A bag contains colored skittles.
• 6 skittles are red
•12 skittles are green
•6 skittles are blue
A skittle will be randomly selected from the bag. What is the probability in decimal
form that the skittle selected will be green?
convert 5000 mm = ____ cm
Answer:
it's 500 cm
HOPE THIS HELPS
Step-by-step explanation:
Answer:
500 cm
Step-by-step explanation:
i did the math
Johnny makes $30 per hour , which is 20% of Sarah hourly rate. What is Donovan's hourly rate if he makes 50% of Sarah Hourly hourly rate ?
Answer: i think its 3 i not the best at math so im so sorry if this is wrong lol
Step-by-step explanation:
PLS I REALLY NEED HELP!!!!!!!!
Answer:
- 26, - 7 , 1 , 3 , 8 , 10
hope it helps and your day will be full of happiness
Answer:
Greatest
2(5)
I-8I
3
I-1I
-12+5
4(-6)
Step-by-step explanation:
absolute value of -8 = 8
-12+5= -7
2(5) = 10
4(-6)=-24
absolute value of -1 = 1
3
How many square feet of outdoor campot will we need for this hole?
Answer:
10 ft. should be the answer if I did it correctly
Step-by-step explanation:
what number is 1/4 of 100
Write an equivalent expression to 3+2(5x)-7
Answer:
-2(2-5x)
Step-by-step explanation:
3+2×(5x)-7
Calculate the difference
-4+2×(5x)
Factor out -2 from the expression
-2(2-5x)
Thats the answer: -2(2-5x)
Hope this helps
can anyone please help me with this
Answer: I’m not very smart you don’t want my help
Step-by-step explanation:
!!20 Points and brainliest if you answer it!!
A group of students were surveyed regarding their enjoyment of country and Jazz music. 8 students enjoyed both types of music, glving a total of 32 students who enjoyed country music, and 14 who enjoyed Jazz. How many total students were questioned in this survey?
A. 54
B. 38
C. 26
D. 46
Answer:
46
Step-by-step explanation:
Answer:
D is correct
Step-by-step explanation:
What is this please anyone
what is 4.2 less than 7.6
Answer: 3.4
Step-by-step explanation: 6-2 is 4 and 7-4=3 therefore it’s 3.4
The solution is 3.4
The value of the equation 4.2 less than 7.6 is 3.4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is expressed as
A = 4.2 less than 7.6
Substituting the values in the equation , we get
A = 7.6 - 4.2 be equation (1)
On simplifying the equation , we get
The value of A = 7.6 - 4.2
The value of A = 3.4
Therefore , the value of A is 3.4
Hence , The value of the equation 4.2 less than 7.6 is 3.4
To learn more about equations click :
https://brainly.com/question/19297665
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Find the length of the arc
Answer:
23.6 or 1 4 × π × 8 = 2 π if its not right let me know
Step-by-step explanation: