The value of k is 8
Solution:
Given that, points (9, 9) and (10, k) fall on a line with a slope of -1
To find: value of "k"
The slope of a line with points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Here given that,
slope = m = -1
[tex](x_1, y_1) = (9, 9)\\\\(x_2, y_2) = (10, k)[/tex]
Substitute the values in formula, and solve to get value of k
[tex]m = \frac{k-9}{10-9}\\\\-1 = \frac{k-9}{10-9}\\\\-1 = \frac{k-9}{1}\\\\k-9 = -1\\\\k = -1+9\\\\k = 8[/tex]
Thus the value of k is 8
The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of hypotenuse B C is 15 centimeters. What is the length of Line segment A C? Round to the nearest tenth. 3.0 in. 9.8 in. 10.5 in. 12.8 in.
Answer:
10.5 in
Step-by-step explanation:
The correct question is
The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of B C is 15 inches. What is the length of Line segment A C?
Note: BC is not the hypotenuse of the right triangle ABC
see the attached figure to better understand the problem
In the right triangle ABC of the figure
we know that
[tex]tan(55^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)
[tex]tan(55^o)=\frac{15}{b}[/tex]
solve for b
[tex]b=\frac{15}{tan(55^o)}[/tex]
[tex]b=10.5\ in[/tex]
Answer:
10.5 in
Step-by-step explanation:
What is often the overall goal of a statistical investigation?
The goal of a statistical investigation is to answer research questions by understanding phenomena through data analysis, which includes planning the study, examining the data with descriptive statistics, and making inferences to answer broader questions.
The overall goal of a statistical investigation is to understand phenomena and answer research questions using data. This involves several key components:
Ultimately, statistical investigations aim to use descriptive statistics and statistical inference to generate insights that can answer a wide range of research questions, especially when sophisticated numerical analysis is needed.
i need the answer to this question (geometry)
Answer:
11.3
Step-by-step explanation:
The parallel lines divide the transversals into proportional segments, so ...
x/8.25 = (4+11)/11
x = 8.25·(15/11) = 11.25
x ≈ 11.3 . . . . . rounded to one decimal place
Write 2x2 – 16x + 14 = 0 in the form (x - p)2 = q by completing the square.
Answer:B (x-4)^2=9
Step-by-step explanation:
Solve proportion to x:
12/15=36/x
And then 160/10.
Don’t use a calculator show the work. PLEASE
Answer:
45
Step-by-step explanation:
12/15=4/5
4/5=36/x
cross product
5*36=4*x
180=4x
x=180/4
x=45
please tell me this equation y– 4 = 20 in words
Answer: A number decreased by 4 equals 20
explanation: Decreased represents 4 being subtracted from y.
A number represents y
Answer:
Step-by-step explanation:
y decreased by 4 equal 20
.or
4 subtracted from a number equals 20
What happened to my first question posed last night?
Answer:
it probably got deleted or you willl have to scroll a long way down to find it
Step-by-step explanation:
pleae mark brainliest just need 3 more
Simplify the expression (2/9) ^2
exponent of 2
A. 4/81
B. 4/18
C. 4/11
D. 2/9
Answer:
A 4/81
Step-by-step explanation:
(2/9)² is the same as 2/9×2/9, which is 4/81.
what does this equation equal
4=1/2x+3
Answer:
X=2
Step-by-step explanation:
FIRST YOU SUBTRACT 3 FROM BOTH SIDES:
4=1/2X+3
-3 -3
1=1/2X
THEN U DIVIDE BOTH SIDES BY 1/2:
1=1/2X
1/1/2=X
1*2/1=X
2=X
Which value below is included in the solution set for the inequality statement?
-3(x-4) > 6(x - 1)
3
-1
7
2
Option B:
–1 is the value included in the solution set
Solution:
Given inequality is –3(x – 4) > 6(x – 1).
⇒ –3x + 12 > 6x – 6
Add 3x on both sides of the expression.
⇒ –3x + 12 + 3x > 6x – 6 + 3x
⇒ 12 > 9x – 6
Add 6 on both sides of the expression.
⇒ 12 + 6 > 9x – 6 + 6
⇒ 18 > 9x
Divide by 9 on both sides of the expression.
⇒ 2 > x
⇒ x < 2
Therefore the solution set is x < 2.
In the given options 3 and 7 are greater than the solution set.
x < 2, so 2 is also not in the solution set.
–1 is the only value which is in the solution set x < 2.
Hence, –1 is the value included in the solution set.
Can anybody answer this question #13 and tell me how they got the answer.... thank you
Answer:
C 6
Step-by-step explanation:
The point P is the centroid of the triangle (the intersection of medians). The centroid divides the median into parts in the ratio 2:1, with the longer part between the centroid and the vertex.
Here, that means ...
NP/PQ = 2/1
NP = 2·PQ = 2·3
NP = 6
what is the midpoint of the line segment with endpoints(-2,-2) and (4,6)
Answer:
The midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].
Step-by-step explanation:
Given points are [tex](-2,-2)\ and\ (4,6)[/tex]. We need to find the midpoint of the line segment.
The formula of finding midpoints between the point [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is
[tex](\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)[/tex]
W have points [tex](x_1,y_1)=(-2,-2)[/tex]. And [tex](x_2,y_2)=(4,6)[/tex]
Let us plug the value in Equation (1)
[tex](\frac{-2+4}{2} ),(\frac{-2+6}{2})[/tex]
[tex](\frac{2}{2}),(\frac{4}{2})\\ \\(1,2)[/tex]
So, the midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].
3. From (3x² + x-14) subtract (-x² – 3x – 2).
Answer:
W
Step-by-step explanation:
Tvivyvyvububi
Answer:
4x^2+4x-12
Step-by-step explanation:
(3x^2+x-14)-(-x^2-3x-2)
3x^2+x-14+x^2+3x+2
3x^2+x^2+x+3x-14+2
4x^2+4x-14+2
4x^2+4x-12
51%, 0.57, 0.61, 6/10 least to greatest
Answer:
least is 51%
Step-by-step explanation:
so 51%, .57,6/10 and .61
Factor out a negative 1 from each expression. - 4 - (5 + 3)
Answer:
-12
Step-by-step explanation:
-4-(5+3)
-4-(8)
-4-8
-12
-12 is the value of the expression - 4 - (5 + 3).
What is Expression?An expression is combination of variables, numbers and operators.
Given expression is -4-(5+3)
Minus four minus of five plus three.
In the given expression we have positive and negative signs which tells that there is addition and subtraction operations.
-4-(5+3)
Add the numbers in parenthesis
-4-8
Now we get -12
Hence, -12 is the value of the expression - 4 - (5 + 3).
To learn more on Expressions click:
https://brainly.com/question/14083225
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Solve for x.
2(3x+8) = 40
Simplify your answer as much as possible.
Answer:
x = 4
Step-by-step explanation:
2(3x+8) = 40 (By PEDMAS, distribute parentheses first)
3x (2) + 8(2) = 40 (next do multiply)
6x + 16 = 40 (subtract 16 from both sides)
6x = 40 - 16
6x = 24 (divide both sides by 6)
x = 24/6 = 4
please answer asap.......
Answer:
"-" always means "less" or a "drop"
Therefore the answer is a drop of 8 meters (the first one)
Hope this helps! :]
Laura, Chau, and Jose sent a total of 152 text messages. Jose sent 4 times as many messages as Laura. Laura sent 8 fewer than Chau. How many messages did they each send?
Answer:
The number if texts sent by Chau = 32
The number of texts sent by Laura = 24
The number of texts sent by Jose = 96
Step-by-step explanation:
The total number of sent texts = 152
Let us assume the number of texts sent by Chau = k
So, the number of texts sent by Laura = 8 fewer than Chau = k - 8
Also, the number of texts sent by Jose = 4 times as many messages as Laura
= 4 x (k-8)
So, now the total number of texts = texts sent by ( Chau + Jose + Laura)
or, 152 = k + (k-8) + 4(k-8)
⇒ k + 5(k-8) = 152
or, k + 5 k - 40 = 152
or, 6 k = 192
or, k = 32
So, the number if texts sent by Chau = k = 32
The number of texts sent by Laura = k - 8 = 24
The number of texts sent by Jose = 4 (24) = 96
9a-2b = -8
-7a + 3b = 12
Select factors of x^2-x-56
Answer:
Step-by-step explanation:
x² - x - 56 = x² - 8x + 7x - 7*8
= x*(x - 8) + 7 (x - 8)
= (x - 8) (x + 7)
Convert `[-3,oo)` to inequality notation use the variable x.
Answer:
x≥-3
Step-by-step explanation:
the bracket means the the number is inclusive, so the answer would be
x≥-3
Final answer:
To convert the interval [-3,∞) to inequality notation, we would write x ≥ -3, indicating that x includes -3 and extends to positive infinity without an upper bound.
Explanation:
To convert the interval notation [-3,∞) to inequality notation using the variable x, we consider the meaning of the interval. The square bracket [ indicates that the number -3 is included in the interval, which corresponds to x ≥ -3. The infinity symbol (∞) suggests that there is no upper bound to the values of x, hence the interval does not include any particular largest number, which is why the parenthesis ) is used rather than a square bracket. Therefore, the equivalent inequality notation for the interval [-3,∞) is x ≥ -3.
find the value of the expression 74.9+5.23-81.4-16
Answer:
To find the value of this expression you need to add and subtract from left to right
74.9+5.23-81.4-16 (add the first two, first)
80.13-81.4-16 (74.9+5.23=80.13) (next subtract the next two)
-1.27-16 (80.13-81.4=-1.27) (Last subtract the last two)
-17.27 (-1.27-16=-17.27)
-17.27
Hope this helps ;)
24.94 is 29% of what number
Final answer:
To find the number that 24.94 represents 29% of, you set up the equation 24.94 = 0.29 × x and solve for x, yielding x = 86.
Explanation:
To find the number that 24.94 is 29% of, we can set up an equation. If 24.94 is 29%, then we are looking for the whole (100%). We represent the whole number with a variable, let's call it x. The equation is as follows:
24.94 = 0.29 × x
To solve for x, we'll divide both sides of the equation by 0.29,
x = 24.94 ÷ 0.29
Now, let's do the math:
x = 86
Therefore, 24.94 is 29% of 86.
250 people went to party at 9pm. 70 people left at 11pm.how many couples remain at the party? ar
Answer:
The answer is that 90 couples remained at the party after 11 pm
Step-by-step explanation:
Number of people who went to the couples only party at 9 pm = 250
Number of people who left the party at 11 pm = 70
How many couples remained at the party?
People that remained at the party = 250 - 70 = 180
Couples that remained at the party = 125 - 35 = 90
The answer is that 90 couples remained at the party after 11 pm
You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint. How much blue paint and how much red paint do you use?
Answer:
3 quarts of blue paint and 2 quarts of red paint
Step-by-step explanation:
Let
x ---> quarts of blue paint
y ---> quarts of red paint
we know that
You make 5 quarts of purple paint
so
[tex]x+y=5[/tex] ----> equation A
The ratio of of blue paint to red paint is
[tex]\frac{x}{y} =\frac{(1/2)}{(1/3)}[/tex]
[tex]\frac{x}{y}=1.5[/tex]
[tex]x=1.5y[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation A
[tex]1.5y+y=5[/tex]
solve for y
[tex]2.5y=5\\y=2[/tex]
Find the value of x
[tex]x=1.5(2)=3[/tex]
therefore
3 quarts of blue paint and 2 quarts of red paint
What is 15% of $67,000?
Answer:
$10,050
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number. First, change the percent to a decimal by dividing it by 100.
15% of $67,000 =
= 15% * $67,000
= 0.15 * $67,000
= $10,050
Which square has a dark blue section that is 1/3 ×2/5 of a square?
Answer: B and d has a dark blue section that is 1/3 x 2/5 of a square
Step-by-step explanation:
Answer:
sorry was there suppost to be a picture with this? which dark blue square? or do we draw it ourselves?
Step-by-step explanation:
sorry i wish i could help :(
Of the 24,000 cellular phones inspected in the last production run , 50 were defective . What fraction of the cellular phones inspected was defective
Answer:
Step-by-step explanation:
24,000 inspected.....50 were defective
50/24,000 reduces to 1/480 <===
A company produces three combinations of mixed vegetables that sell in 1-kg packages. Italian style combines 0.4
kg of zucchini, 0.3
kg of broccoli, and 0.3
kg of carrots. French style combines 0.5
kg of broccoli and 0.5
kg of carrots. Oriental style combines 0.2
kg of zucchini, 0.3
kg of broccoli, and 0.5
kg of carrots. The company has a stock of 17 comma 800
kg of zucchini, 28 comma 300
kg of broccoli, and 38 comma 900
kg of carrots. How many packages of each style should it prepare to use up existing supplies?
Answer:
Italian style = 18,000 packages
French style = 14,000 packages
Oriental style = 53,000 packages
Step-by-step explanation:
See the attached figure to represent the question
let the number of packages of Italian style = x
let the number of packages of French style = y
let the number of packages of Oriental style = z
Italian style ⇒ 0.4 kg of zucchini, 0.3 kg of broccoli, and 0.3 kg of carrots.
French style ⇒ 0.5 kg of broccoli and 0.5 kg of carrots.
Oriental style ⇒ 0.2 kg of zucchini, 0.3 kg of broccoli, and 0.5 kg of carrots.
The amount of zucchini ⇒ 17,800 = 0.4x + 0 * y + 0.2z
The amount of broccoli ⇒ 28,300 = 0.3x + 0.5y + 0.3z
The amount of carrots ⇒ 38,900 = 0.3x + 0.5y + 0.5z
Solving the 3 equations together to find x , y and z
Using the calculator:
x = 18,000 ⇒ Italian style packages
y = 14,000 ⇒ French style packages
z = 53,000 ⇒ Oriental style packages
the ratio of girls to boys in 6th grade is 3:4. If there are 182 6th graders, how many are girls
Answer:
78 girls
Step-by-step explanation:
Ratio is 3:4, so that means the total number of 182 can be divided into 7 parts. 182 divided by 7 is 26, so each part is 26. The ratio of girls is 3, so 3 times 26 is 78. You can check this by putting (3*26)/(4*26) simplifies to 78/104 to 3/4 which is the right ratio
Answer:
78 girls
Step-by-step explanation:
the person below me explained it