1. Given the equation (x – 3)2 – 32 = 17 a)
a) Solve the equation using the square root property to find the solutions. Show your work and round your final answer to the nearest tenth.
b) Explain why the given equation has two solutions.
HELP ME PLEASE MY LAST DAY TO TURN THIS IN! MARKING BRAINLIEST
Solving Systems of Equations by Elimination
3) 7x + 3y= 22 4y= 20
4) -2x + y= 10 4x - y= -14
Answer:
3) [tex]x=1\\ y=5[/tex]
4) [tex]x=-2\\ y=6[/tex]
Step-by-step explanation:
3) For this system of equation you already has one variable in the second equation. Therefore, you only need to solve for [tex]y[/tex] in the second one and substitute its value into the first equation to calculate [tex]x[/tex]:
[tex]\left \{ {{7x + 3y= 22} \atop {4y=20}} \right. \\[/tex]
[tex]y=\frac{20}{4} \\ y=5[/tex]
[tex]7x + 3(5)= 22\\ 7x=7\\x=1[/tex]
4) You must add both equations to cancel the variable [tex]y[/tex] and solve for [tex]x[/tex]. Then, susbstiute the value of this variable into one of the original equations to calculate [tex]y[/tex]:
[tex]\left \{ {{-2x+y=10} \atop {4x-y=-14}} \right.[/tex]
[tex]2x=-4\\ x=-2[/tex]
[tex]-2(-2)+y=10\\ y=6[/tex]
What is the value of n? Enter your answer in the box. n = cm Circle with two intersecting chords forming an x shape in the circle. The top left side of the x shape is labeled 7 centimeters. The top right side of the x shape is labeled 4 centimeters. The bottom left side of the x is labeled n. The bottom right side of the x is labeled 8 centimeters.
The value of n for the given circle with chords is; n = 14
How to find the length of a chord?
To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.
Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;
7(8) = 4(n)
56 = 4n
14 = n
Read more about Length of Chord at; https://brainly.com/question/13950364
Naomi needs 2 cups of chopped apples for a fruit salad she is making. she only has a one-fourth cup measuring cup. how many times will naomi need to fill the measuring cup to get 2 cups of apples
(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =
–2.8k3 – 3k2 – 3.7k
–2.8k3 + 3k2 – 1.3k
–2k3 – 3k2 – 1.3k
–2k3 + 3k2 – 3.7k
What does it mean to say that the confidence interval methods of this section are robust against departures from normality?
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Please help me thank you.
A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?y=-4x+8, y = –2x + 6, y=-1/4x+2, y = 2x + 2
y = -4x+8 thats the answer
A large suburb currently uses square signs to notify drivers of nearby bike lanes. In order to increase the visibility of these signs, the mayor wants to increase their dimensions. The new signs will be 12 inches longer and 8 inches taller than the current signs. Suppose x represents the side measure of the current signs, in inches. Determine the equation that represents the area, y, in square inches, of the new signs.
Answer:
[tex]AREA = x^{2} +20\cdot x + 96[/tex] square inches
Step-by-step explanation:
If dimension of signs are increased then new sides will be x+8 and x+12
It will change fom square into a rectangle So, its area will be given by :
AREA (y) = (x+8)(x+12)
[tex]AREA = x^{2} +20\cdot x + 96[/tex] square inches
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1. A person at ground level measures the angle of elevation to the top of a building to be 74°. If at this point the person is 34 feet away from the base of the building, then how tall is the building? Please round to the tenths place. Please show work/steps and provide units with your answer.
2. In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/ . What is the value of cos P?
A.9/41
B.41/9
C.40/41
D/41/40
Write an equation of a line that goes through the point (2,2) and has a y-intercept of 6
Trevor pays $125 in fees each semester plus $650 per college course.
Last semester Trevor paid $2,725.
Which function represents Trevor’s bill?
A.f(x) = 125x + 650
B.f(x) = 650x + 125
C.f(x) = 775x
D.f(x) = 525x
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Please help with this Algebra 1 math problem:
A system of equations is shown below:
3x - y = 2
x + y = 6
The x-coordinate of the solution to this system of equations is _____.,
To determine whether voters would be willing to vote for a tax increase to improve the city's parks, the park commission surveys 500 park users. Why is this sample likely to be biased?
A. Park users are more likely to be willing to pay more to improve parks.
B. Park users are too busy to be bothered with surveys.
C. There are not enough people in the sample.
D. The entire population of the city was not surveyed.
Answer: The answer is A
Step-by-step explanation: Think about the question and what it is asking about, raising taxes to improve the city's parks, now think about who benefits from the parks. Park users right? Okay, but since tax increase will be put on everyone living in the city, some do not use the park. Is it fair to base the survey question just to park users? No, it's biased to base it on park users only. Of course the park users will be okay improving the parks they use. An unbiased survey would ask a sample of citizens in the city whether it's a good idea to raise taxes to improve the city parks. It's not just the park user whose taxes will be raised for the improvements.
Answer:
The answer A park user are most likely to be willing to pay more to improve parks.
Step-by-step explanation:
I did the test and it was right hope this helps
If m and n are real numbers such that 4m + n = 10, then which of the following expressions represents m?
A photograph measures 12 inches wide by 20 inches long. If the picture is reduced so that the length is 8 inches. What is the new width?
To find the new width of a photograph after reducing its length to 8 inches, while maintaining the original aspect ratio, set up a proportion based on the original dimensions and solve for the new width, which results in 4.8 inches.
The question involves a proportional reduction of a photograph's dimensions. To determine the new width, we need to maintain the same ratio between the width and the length as in the original photograph. Initially, the photograph measures 12 inches wide by 20 inches long. If reduced so that the length is 8 inches, the width will also reduce in the same ratio.
Let's denote the new width as w. The original ratio is 12/20, which should be equal to the new ratio w/8.
Now, creating a proportion, we have:
12/20 = w/8
By cross-multiplying, we get:
20 × w = 12 × 8
w = (12 × 8) / 20
w = 96 / 20
w = 4.8
Therefore, the new width of the photograph is 4.8 inches.
Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. find the probability of exactly five girls in ten births.
This answer explains how to calculate the probability of having exactly five girls in ten births using the binomial probability formula.
Explanation:Probability of Exactly Five Girls in Ten Births:
Calculate the probability of having a girl in a single birth: P(girl) = 0.5Use the binomial probability formula to find the probability of having exactly five girls in ten births: P(5 girls) = (10 choose 5) * (0.5)^5 * (0.5)^5Substitute the values and calculate the probability: P(5 girls) = 0.246What is the smallest solution to the equation 3x^2-16=131
Answer:
x=7
Step-by-step explanation:
3*7*7 = 147
147-16 = 131
so x=7
note x could be -7 also
Find the Value of X. If your answer is not an integer, express it in simplest radical form.
Can anyone help me how to solve this?
PLEASE HELP ME ON THIS!!!!!!!!!!
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Which of the following equations is an example of inverse variation between variables x and y ?
A.) y=15x
B.) y= x-15
C.) y=15/x
D.) y=x/15
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Given cos x =12/13 And sin x = 5/13
what is ratio for tan x? (Explain how you got your answer)
Jorani flips two standard American quarters. How many ways can she get at least one head?
Hint: Let 2004-06-03-01-00_files/i0250000.jpg and let 2004-06-03-01-00_files/i0250001.jpg,
One side of a right triangle is 2 cm shorter than the hypotenuse and 7 cm longer than the third side. find the lengths of the sides of the triangle.
The sides will be 17, 15, and 8.
TriangleIt is a polygon of three sides and the sum of the internal angle of a triangle is 180 degrees.
Given
One side of a right triangle is 2 cm shorter than the hypotenuse
And 7 cm longer than the third side.
To findThe lengths of the sides of the triangle.
How do find the lengths of the sides of the triangle?Let the hypotenuse is H
Then the One side of a right triangle is 2 cm shorter than the hypotenuse which means H - 2
And another side is 7 cm longer than the third side which means H -2 -7 that becomes H - 9
Then according to Pythagoras theorem
[tex]\rm H^{2} = P^{2} +B^{2}[/tex]
Then
[tex]\begin{aligned} \rm H^{2} &= (H-2)^{2} +(H-9)^{2}\\\rm H^{2} &= H^{2} -4H + 4+ H^{2} -18H +81\\ H^{2} -22H + 85 &= 0 \\(H-17)(H-5) &=0\\\end{aligned}[/tex]
Hence the value of H is 17 and 5.
5 is neglected because H - 9 is negative.
So the sides will be 17, 15, and 8.
More about the triangle link is given below.
https://brainly.com/question/25813512
Combine and simplify these radicals.
radical 8 * 20
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Answer:
[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].
Step-by-step explanation:
Given : [tex]\sqrt{8 *20}[/tex].
To find : Combine and simplify these radicals.
Solution : We have given that [tex]\sqrt{8 *20}[/tex].
We can write 8 as 4 *2 and 20 as 4 *5
Then ,
[tex]\sqrt{8 *20}[/tex] = [tex]\sqrt{(4 *2 )*(4 * 5)}[/tex].
[tex]\sqrt{8 *20}[/tex] = [tex]\sqrt{4 *2}\ *\sqrt{4 *5}[/tex].
[tex]\sqrt{8 *20}[/tex] = 2 [tex]\sqrt{2}\ *2\sqrt{5}[/tex].
[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{2 *5}[/tex].
[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].
Therefore, [tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].
F(x)=−2x3+4x2+3x−3 find the average slope of this function on the interval (26). by the mean value theorem, we know there exists a c in the open interval (26) such that f(c) is equal to this mean slope. find the value of c in the interval which works
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This figure shows circle A with inscribed ∠RSQ .
m∠RSQ=24°
What is the measure of RSQ?
Enter your answer in the box.
Answer:
312
Step-by-step explanation:
The other answer has a great explanation. I am just confirming this answer to be correct! :)