Answer:
1) x^2 - 14x + 44 = 0
(x^2 - 14x + 49) - 5 = 0
(x-7)^2 - 5 = 0
2)Assuming no complex number x...
(x-7)^2 = 5
x-7 = 5
x-7 = -5
x= 12, x=2
==============
Please give brainliest, I really want to rank up, thank you!
The answers to both the subparts of the equations are shown:
(A) Re-written equation by completing the square: (x-7)² - 5 = 0(B) Solutions of the equation: x = 12, x = 2What are equations?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.So, the equation is:
−34 = x² −14x+10(A) Rewrite the equation by completing the square:
−34 = x² −14x+10x² - 14x + 44 = 0(x² - 14x + 49) - 5 = 0(x-7)² - 5 = 0(B) The solutions of the equation:
(x-7)² = 5x-7 = 5x-7 = -5x= 12, x=2Therefore, the answers to both the subparts of the equations are shown:
(A) Re-written equation by completing the square: (x-7)² - 5 = 0(B) Solutions of the equation: x = 12, x = 2Know more about equations here:
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Which statement is true about Angle C P B?
Lines C D and A B intersect at point P.
It is supplementary to Angle A P C.
It is complementary to Angle A P C.
It is congruent to Angle A P C.
It is linear to Angle A P D.
Answer:
A. It is supplementary to angle APC
Step-by-step explanation:
Vocabulary:
Supplementary Angle - Two angles that when added together equal 180 degrees.
If we look at the graph provided which is attached below we can see that if we add angles CPB and APC it forms a straight line (a straight line always = 180 degrees) Making the answer A. It is supplementary to angle APC
Answer:
Step-by-step explanation:
Which statement is true about Angle C P B?
It is supplementary to Angle A P C.
It is complementary to Angle A P C.
It is congruent to Angle A P C.
It is linear to Angle A P D.
In a controversial election district, 73% of registered voters are democrat. a random survey of 500 voters had 68% democrats. are the bold numbers parameters or statistics?
Answer:
73% = parameter
68% = statistic
Step-by-step explanation:
Parameter and statistic differs from one another in statistical parlance in that, parameter refers to nemwrical characteristic derived from the population data. In the scenario described above, 73% describes the percentage of all registered Voters (population of interest). On the other hand, statistic refers to numerical characteristic derived from the sample data. 68% represents the percentage of democrats from the sample surveyed from the the larger population.
Hence,
68% is a sample statistic and 73% is a population parameter.
What is the base area of the cone?
15 m²
25 m²
45 m²
125 m²
Answer:
45 m^2
Step-by-step explanation:
A 13 foot ladder is leaning against the wall of a house. The ladder is 5 feet away from th
base of the house. How high up the house does the ladder reach?
Answer:
12 feet
Step-by-step explanation:
Can someone please help me figure this out, thanks!
Answer:
The set of numbers that could not represent the three sides of a right triangle are;
{9, 24, 26}
Step-by-step explanation:
According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;
r² = x² + y²
Where;
r > x, r > y
Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;
Set 1;
95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle
Set 2;
82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle
Set 3;
26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle
Set 4;
39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle
Leo deposited $1,472 in an account that earned 2.5% interest compounded annually for 7 years. After 7 years, what was Leo's account balance?
Answer:
257.6
step by step explanation:
1472×2.5×7÷100
The polynomial V(x)=x^3+9x^2-16x-144 represents volume of a shipping crate. Explain how to find the area of the base of the crate? if the polynomial H(x)=x+4 represents the height of the crate
Answer:
x = − 9 , − 4 , 4
Step-by-step explanation:
Each crate is in the shape of a rectangular solid. Its dimensions are length, width, and height. The rectangular solid shown in the image below has a length
4 units, width 2 units, and height 3
units. Can you tell how many cubic units there are altogether? Let’s look layer by layer.
Breaking a rectangular solid into layers makes it easier to visualize the number of cubic units it contains. This
4 by 2 by 3 rectangular solid has 24 cubic units.
A rectangular solid is shown. Each layer is composed of 8 cubes, measuring 2 by 4. The top layer is pink. The middle layer is orange. The bottom layer is green. Beside this is an image of the top layer that says
Altogether there are 24 cubic units. Notice that 24 is the length × width × height .
The top line says V equals L times W times H. Beneath the V is 24, beneath the equal sign is another equal sign, beneath the L is a 4, beneath the W is a 2, beneath the H is a 3.
The volume, V , of any rectangular solid is the product of the length, width, and height.
V = L W H
We could also write the formula for the volume of a rectangular solid in terms of the area of the base. The area of the base, B , is equal to length × width . B = L ⋅ W
We can substitute
B for L ⋅ W in the volume, formula to get another form of the volume formula.
The top line says V equals red L times red W times H. Below this is V equals red parentheses L times W times H. Below this is V equals red capital B times h.
We now have another version of the volume formula for rectangular solids. Let’s see how this works with the
4 × 2 × 3
rectangular solid we started with. See the image below.
Besides the solid is V equals Bh. Below this is V equals Base times height. Below Base is parentheses 4 times 2. The next line says V equals parentheses 4 times 2 times 3. Below that is V equals 8 times 3, then V equals 24 cubic units.
The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis.
Which of the following is the best interpretation of the coefficient of determination r2?
About 37% of the variation in arm span is accounted for by the linear relationship formed with the foot length.
About 65% of the variation in foot length is accounted for by the linear relationship formed with the arm span.
About 63% of the variation in arm span is accounted for by the linear relationship formed with the foot length.
About 63% of the variation in foot length is accounted for by the linear relationship formed with the arm span.
Answer:
The guy above me is completely wrong hahaha.
The correct answer should have a 63%.
It's probably D. The terminology is a little confusing.
The equation of the output looks like:
-7.611 + .186(x) = y
x --> Arm span
y --> Foot span
The linear relationship is formed with the armspan.
Answer: It’s D
Step-by-step explanation:
I took the test
A board game has a spinner divided into sections of equal size(10). Each section is labeled a number between 1-5. Which number is a reasonable estimate of the number of spins on a section labeled 5 over the course of 150 spins?
A(15)
B(25)
C(40)
D(60)
a) 5x-12=2x-3
b) 8x+2=5x+8
c) 7x-5=4x-2
please
What's the question?
What are we supposed to do?
If x=6, what is the smallest natural number y that makes x2+y2 rational?
Given: If x=6, what is the smallest natural number y that makes x2+y2 rational .
To Find: Smallest value if y so that the expression is rational .
Solution : On substituting x = 6 , we have
[tex]=> x^2+y^2= 6^2+y^2\\\\ x^2+y^2= 36+y^2[/tex]
Now for the whole expression has minimum value y^2 should be minimum , also y should be natural no. The set of Natural no. is ,
[tex]=> N=\{ 1,2,3,4,... ..,\infty\}[/tex]
Therefore the smallest Natural no. is 1 . Therefore minimum value of y is 1.
The minimum value of y is 1.
Does anyone know how to do 3 & 4
Answer:
2.True
3. HGK
4. 17°
hope it helps
What is the image of (-1, 7) after a reflection over the line y = x?
Answer:
(7, - 1 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
(- 1, 7 ) → (7, - 1 )
Peterkin park has a square fountain with a walkway aroind it. The fountain measures 12 feet on each side. The walkway is 3 1/2 feet wide.Find the area of the walkway
Answer: 829.44 ft²
Step-by-step explanation:
Correction - The walkway is 31.2 feet wide.
To solve this, first find the area of the fountain:
Area of a square = Length * Width
= 12 * 12
= 144 ft²
The find the area of the walkway including the fountain:
= 31.2 * 31.2
= 973.44 ft²
To find the area of the walkway alone, subtract the area of the square from the area of the rectangle:
= 973.44 - 144
= 829.44 ft²
PLZZZ HELPPP BRAINLIESTT
Answer:
1. 4 less than x
2. v = 15.00n
Answer:
4 minus x and v = 15.00n
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
x = 5 ; z = 70
Step-by-step explanation:
Vertical angles have the same degree measure
(13x + 45) = 110
13x + 45 = 110
-45 -45
13x = 65
/13 /13
x = 5
Complementary angles add up to 180°
110 + z = 180
-110 -110
z = 70
Answer:
X = 5º
Z = 70º
Step-by-step explanation:
So we know that vertical angles are congruent. So what we do to figure out x is set the equation equal to 110º because we are given that. And then we solve for x.
(13x + 45) = 110
13x + 45 = 110
-45 -45
----------------------
13x = 65
÷13 ÷13
---------------
x = 5
Now, we plug x into the equation. (13x5 + 45) = 110 so we know that x = 5
Now, we also know that a straight line equals 180º so what we do is subtract 110 from 180.
180 - 110= 70º
z = 70º
If it takes Laine 4 hours to wash the windows, Leslie 5 hours to wash the same windows, and Lance 6 hours to wash the windows, how long would it take them all working together?
.8 hours
6 hours
1.6 hours
3.2 hours
1/4+1/5+1/6=1/x
LCM = 60
15/60+12/60+10/60=1/x
37/60=1/x
37x=60
x=60/37=1.62, round =1.6
1.6 HOURS
The number of hours they would take them all working together is around 1.6 hours.
What are ratios and proportions?A ratio is the divide of the two variables and the lower variable known as the denominator should not be zero.
Given that laine takes 4 hours to complete work
In 1 hour Laine will do 1/4 part of the work.
In 1 hour Leslie will do 1/5 part of the work.
In a 1-hour Lance will do 1/6 part of the work.
so let's suppose all done work by x hours then
1/4 + 1/5 + 1/6 = 1/x
x =1.6 so all together done the work by 1.6 hours.
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Find the sum of (6x2 - 9x + 7) and (- 8x2 + 10x - 14)
Answer:
-2x² + x - 7
Step-by-step explanation:
(6x² - 9x + 7) + (-8x² + 10x - 14)
6x² - 9x + 7 - 8x² + 10x - 14
6x² - 8x² - 9x + 10x + 7 - 14
-2x² + x - 7
There are 30 students going on a field trip. Each car can take 4 students. Which inequality would be used to find the least number of cars needed?
Please Help! I'll give Brainliest!
Answer:8 cars
Step-by-step explanation:
to find the least amount of cars dived 30/4 which equilds 7.5
Since there are 2 remaining students, an additional car will be needed bringing the total to 8 cars.
Tuition for one year at Mount Tusk University is $13,400. Elijah has saved
$1,800 for this year's tuition. His parents have agreed to pay $5,000 this
year, and he earned a football scholarship for $3,500. Elijah hopes to earn
the rest of the money through his work-study job tutoring in the math
center. How much money does Elijah need to earn tutoring? (Enter the
quantity only)
Your answer
Answer:
The answer is 3,100
Step-by-step explanation:
If you subtract the 8,500 from his parents and his football scholarship you get 4,900 and then take the 1,800 from his saved money, You get what he still needs, which is 3,100.
anyone know this answer??
Answer:
two
Step-by-step explanation:
The exact value of sec(60°) sec ( 60 ° ) is 2 .
when drawing a marble from a bag that has 6 pink marbles, 3 blue marbles, and 7 green marbles. What is the probability of green. A) 1/2 B) 7/16 C) 9/16 D) 7/9
Answer:
B
Step-by-step explanation:
The total number of marbles in the bag is 3 + 6 + 7 = 16
The number of green marbles is 7
The probability is 7/16
Complete the remainder of the table for the given function rule: y = 2x + 4
Answer:
eight.
Step-by-step explanation:
2(6) ÷ 3
12÷3
4+4
8
Question is in picture
Answer:
27.5ft
Step-by-step explanation:
a² + b² = c²
Plug in what you have:
a² + 12² = 30²
Get a by itself:
a² = 30² - 12²
Simplify:
a² = 900 - 144
Simplify:
a² = 756
Simplify:
√a = √756
Then you get 27.49 and when you round you get 27.5
CAN SOMEONE HELP PLS :D will mark brainliest ;)
Answer: the second one/ \/36/6
Step-by-step explanation:
What is the length of the terrace?
Answer:
A) 12 feet or d) 10 feet..
Help me please and thank you
Answer:
c
Step-by-step explanation:
Tbh you can guess for the fractions
Answer:
4:1 ratio
Sugar: 1 cup
Butter: 3/4 cups
Eggs: 2
Baking powder: 3/8 tsp
Flour: 5/8 tsp (you need way more flour for cookies)
Salt: 1/8 tsp (original # was hard to make out but I think it was 1/2 tsp)
Explain the characteristics of authoritarianism and identify two central Asian countries that have this type of government.
Answer:
Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner. Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights. A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey.
Answer:
. . A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner
Someone please help me.
Answer:
with what life
Step-by-step explanation:
