Answer:
32
Step-by-step explanation:
54 = 2(C-5)
27 = C-5
32 = C
figure out the slope of the line that passed through each pair of points (4,-11) and (7,-8)
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[tex]slope = \frac{ - 8 - ( - 11)}{7 - 4} \\ [/tex]
[tex]slope = \frac{ - 8 + 11}{7 - 4} \\ [/tex]
[tex]slope = \frac{3}{3} \\ [/tex]
[tex]slope = 1[/tex]
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4. What is the factored form of the expression 49x2 + 20?
A (7x + 215)(7x - 2/5)
B (7x + 2iV5) (7x - 2i75)
C (7xi + 275) (7xi - 215)
D (7xi +2175) (7xi - 2175
The factored form of the expression would be; (7x + 2√5) (7x - 2√5)
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression form 49x² + 20
Therefore, 49 is a perfect square,
This expression could also be given as;
(7x)²- (2√5)²
Now, we know that:
a²- b² = (a + b) (a - b)
Now plug the values then we have:
(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)
Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)
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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ 49x² + 20
The expression can be written as,
⇒ 49x² - 20i²
Simplify the expression, then we have
⇒ 49x² - 20i²
⇒ (7x)² - (2i√5)²
⇒ (7x - 2i√5)(7x + 2i√5)
The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
More about the Algebra link is given below.
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GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
Similar triangles may or may not be congruent.
The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] , [tex]\mathbf{YZ \cong PQ}[/tex] , [tex]\mathbf{X \cong N}[/tex] , [tex]\mathbf{NQ \cong XQ}[/tex] , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex] , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ, KJ and RS, QS and LJQuestion 1 to 6:
Triangles XYZ and NPQ are similar triangles.
This means that:
Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles
Question 7 to 12:
Triangles LMN and CBA are similar triangles.
This means that:
[tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{2y-12 = z + 12}[/tex]
Collect like terms
[tex]\mathbf{2y= z + 12+12}[/tex]
[tex]\mathbf{2y= z + 24}[/tex]
Make z the subject
[tex]\mathbf{z = 2y -24}[/tex]
Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]
[tex]\mathbf{14y -168 + 6 = 5y}[/tex]
[tex]\mathbf{14y -162 = 5y}[/tex]
Collect like terms
[tex]\mathbf{14y -5y = 162}[/tex]
[tex]\mathbf{9y = 162}[/tex]
Divide both sides by 9
[tex]\mathbf{y = 18}[/tex]
Recall that: [tex]\mathbf{z = 2y -24}[/tex]
[tex]\mathbf{z = 2 \times 18 - 24}[/tex]
[tex]\mathbf{z = 12}[/tex]
[tex]\mathbf{L = 60}[/tex]
[tex]\mathbf{LN = 2y - 12}[/tex]
[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]
[tex]\mathbf{LN = 24}[/tex]
[tex]\mathbf{C = L}[/tex]
[tex]\mathbf{C = 60}[/tex]
[tex]\mathbf{AC = LN}[/tex]
[tex]\mathbf{AC = 24}[/tex]
Question 13:
The congruent parts are: KL and RQ, KJ and RS, QS and LJ
Read more about congruent and similar triangles at:
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Yoko is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $40.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Yoko has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 18 weeks.
Answer:
s=40w+350; s=$1,070
Step-by-step explanation:
Our equation looks like this:
s=40w+350
Next we plug in 18 for w, our number of weeks.
s=40(18)+350
Multiply the 40 and 18.
s=720+350
Add the 350 and 720.
s=1,070
Add a dollar sign to say that the amount is in dollars.
s=$1,070
HTH :)
The equation relating the total amount of money in the savings account, S and the number of weeks Yoko has been adding the money, W is given by S = 350 + 40W.
Total amount of money in the savings account after 18 weeks is
What is an Equation?An equation is a statement in mathematics which includes two algebraic expressions or numbers relating with an equal sign.
There are left hand side and right hand side for every equation and may or may not include variables.
S is the total amount of money in the savings account of Yoko.
W is the number of weeks Yoko has been adding money.
Initial money = 350
After 1 week total money = 350 + (1 × 40)
After 2 weeks, total money = 350 + (2 × 40)
It goes on like this until the last week.
So after W weeks total money = 350 + (W × 40)
Total amount of money in the savings account after W weeks, S = 350 + 40W.
After 18 weeks, S = 350 = (40 × 18) = $1070
Hence the equation relating W and S is, S = 350 + 40W.
Total amount of money after 18 weeks = $1070
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A baker has 5 bags of raisins in the cupboard. Each bag weighs 24 ounces. How many pounds of raisins does the baker have in the cupboard?
Answer:
7 1/2 pounds
Step-by-step explanation:
5 x 24 = 120
16oz = 1 pound
120oz = 7 1/2 pounds
Answer:
7.5 lbs of raisins
Step-by-step explanation:
24 x 5 = 120 ounce (oz)
1 lb = 16 oz
120 ÷ 16 = 7.5 lbs
The sum of two integers is 5. Their difference is 11. What are
the two integers?
A 3 and 14
B
-3 and 8
C 2 and 3
D -14 and -3
Find the value of x for which d ||m.
Answer:
29
Step-by-step explanation:
The class had to identify the divided And divisor for a division problem 56÷7. Which number is the divided ? Which number is the divisor?
Answer:
56÷7=8
Step-by-step explanation:
answer is 8
Tell whether the lines through the given points are parallel, perpendicular or neither. You must have a work that supports your answer
HELP WITH THESE TWO ASAP
Cait went apple picking with 3 friends. The 4 of them picked 17.4 lbs of
apples and want to split it equally. How many lbs of apples do they each
get?
Answer:
4.35 pounds each gets
Step-by-step explanation:
if you divide 17.4 by 4 you get 4.35 pound per each of the 4 people get
Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?
14%
24%
48%
36%
Answer:
24% is the answer
Step-by-step explanation:
Answer Asap Will mark brainlest if it's right.
Answer:
B........................
what is the slope intercept formula
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y=mx+b
Explanation:
The slope-intercept formula is y=mx+b. The b represents the y-intercept, which is the point where a line on a graph meets the y-axis. The coordinates for this would be (0,b). The m represents the slope, which is the rate of change. The x represents any x variable that you plug in. The y represents the y variable.
I give Brainliest!
Determine whether the following statements are sometimes, always or never true.
Equilateral triangles are also right triangles.
All angles of an equilateral triangle are congruent.
Answer: Equilateral triangles are also right triangles sometimes. All angles of an equilateral are congruet sometimes.
POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
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1 2 3
4
5
6
ET Review
If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
At hoffman's bike rentals,it cost $35 to rent a bike for 7 hours .How many hours of bike does the customer get per dollar?please help
Answer:
your answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5
Answer
Answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5
Can somebody answer quick please!
Answer:27/2
Step-by-step explanation: The ratio stays the same. So 4/6 = 9/x. Solve that and get 27/2
Answer: 18 in.
Step-by-step explanation:
71 3/7% Express the percent as a fraction in simplest form.
please help.
Answer:
5/3
Step-by-step explanation:
We want to express the percentage as a fraction
We have;
500/3/100 = 500/300 = 5/3
If the average grade of an English class rose from 70 to 80 what is the approximate percent increase
Answer:
10
Step-by-step explanation:
please help, my time is running out
Answer: 40 ?
Step-by-step explanation:
2 (4x-2)- 5x=-18
HELP!!
Answer:
x = -14/3
Step-by-step explanation:
2 (4x-2) - 5x = -18
8x - 4 - 5x = -18
8x - 5x = -18 + 4
3x = -14
x = -14/3
I'm not sure if this is what you were asking for but, ya..
What is 6.5% of 39.99?
The probability of getting 3 is the half of getting 6. Is Victoria correct?
yes because 6÷2 is 3 and that gets you the answer
slope for (1,5) (3,4)
Answer:
-1,2
Step-by-step explanation:
4-5=-1
3-1=2
y2-y1
x2-x1
The Pie Arsquare Bakery sold 869 pies during the month of January. What was the mean number of pies sold per day? (Hint: how many days are in January) Round to the nearest tenths.
Answer:
28
Step-by-step explanation:
divide 869 by the number of days in January
how to turn a fraction into a decimal, help
A fraction is really just another way to write a division problem without dividing. So all you have to do is divide, then round to whichever decimal place your teacher wants.
y = 6x - 10
y = 2x + 2
Answer:
1. x= 5/3 or 1.6 and y= -10
2. x= -1 and y= 2
Step-by-step explanation:
1. y= 6x - 10, 0= 6x - 10, -6x= -10, x= 5/3
2. y= 2x + 2, 0= 2x + 2, -2x= 2, x= -1
A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost
Answer:
$49.12
Step-by-step explanation:
