Answer:
Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).
Solve the system of equations by substitution.
3x - 4y = 13
5x + 4y = 11
The solution of the system is x = and y=
(Type integers or simplified fractions.)
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
Step-by-step explanation:
[tex]3x - 4y = 13[/tex]
[tex]5x + 4y = 11[/tex]
isolate x for 3x-4y=13
[tex]\mathrm{Subsititute\:}x=\frac{13+4y}{3}[/tex]
[tex]\begin{bmatrix}5\cdot \frac{13+4y}{3}+4y=11\end{bmatrix}[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
now isolate y for [tex]\frac{65+32y}{3}=11[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
[tex]65+32y=33[/tex]
[tex]32y=-32[/tex]
Divide both sides by 32
[tex]\frac{32y}{32}=\frac{-32}{32}[/tex]
[tex]y=-1[/tex]
[tex]\mathrm{For\:}x=\frac{13+4y}{3}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]x=\frac{13+4\left(-1\right)}{3}[/tex]
[tex]=\frac{13-4\cdot \:1}{3}[/tex]
[tex]=\frac{9}{3}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3[/tex]
[tex]=3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
what is 4x^2 if x is 1/8?
Answer:
1/6
Step-by-step explanation:
He company spent 32% of its annual budget developing a new machine what fraction of the company‘s budget was spent developing the new machine
The fraction of the company's annual budget which was spent on developing a new machine is; 8/25.
What fraction of the company budget was used to develop the new machine?It follows from the task content that the company in discuss spent 32% of its annual budget developing a new machine.
This insinuates that the percentage given can be as a fraction as follows;
= 32/100
When expressed in it's simplest form;
= 8/25
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Thermometer A measures the temperature at 75 degrees Fahrenheit. Thermometer B measures the temperature at
22 degrees Celsius. Which thermometer displays the greater temperature?
Thermometer A
Thermometer B
Based on the temperatures displayed by Thermometer A and Thermometer B, the thermometer displaying the greater temperature is Thermometer A
How to find the thermometer with the greater temperature?The best way to find the thermometer that is displaying the greater temperature is to convert the units of temperature to a single unit so that a proper comparison can be made.
Convert Thermometer B to degrees Fahrenheit. Celsius to Fahrenheit gives:
= (1°C × 9/5) + 32
= (22°C × 9/5) + 32
= 71.6 degrees Celsius
This means that Thermometer A is displaying the greater temperature.
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A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation
must the ladder be positioned in order to reach the top of the wall?
Answer:
7.2
Step-by-step explanation:
What is 4/9 + 10/7
GIVING BRAINLIEST TO FIRST ANSWER
Answer:
14/16
Step-by-step explanation:
Answer:
1.86234q3eq23423we2q34e12342134
Step-by-step explanation:
YOU FIRGURE IT UR SELF U SCAMMED ME
round 307,451 to the nearest thousand
Answer: 307,000
Step-by-step explanation: Since 451 is less than 500, you want to round down.
Answer: 307,000
Step-by-step explanation: A number rounded to "the nearest thousand", must be multiple of 1000. In this case the value would be 306,000 or 307,000, or 308,000 or 309,000, depending on which of these our given number is closest (nearest) to. 307,495 is less than 307,500 , which is the value halfway between 307,000 and 308,000.
Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤-3/4-1
No, because (-1. 5) is above the line
Yes, because (-1, -5) is below the line
No, because (-1, 5) is on the line
Yes, because 1-1, 5) is on the line
Answer:
(-1, -5) satisfies the inequality and will be the solution to the inequality.
From the attached figure, it is clear that (-1, -5) is below the line.
Therefore, the correct option is:
''Yes, because 1-1, 5) is on the line''.
Step-by-step explanation:
Given the inequality
[tex]y\le -\frac{3}{4}x-1[/tex]
substituting (-1, -5) to check whether it satisfies the inequality or not
[tex]-5\le \:-\frac{3}{4}\left(-1\right)-1[/tex]
[tex]-5\:\le \:\frac{3}{4}-1[/tex]
[tex]-5\:\le -\frac{1}{4}[/tex]
TRUE
Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.
From the attached figure, it is clear that (-1, -5) is below the line.
Therefore, the correct option is:
''Yes, because 1-1, 5) is on the line''.
Please help. Have a good day
Which decimal number is equal to
2/4?
Answer:
.5
Step-by-step explanation:
2/4 2 goes into 2 1 time and 2 goes into 4 2 times so therefore 2/4 is = 1/2
1/2= .5
I WILL GIVE BRAINLIEST I NEED HELP
Answer:
c
Step-by-step explanation:
If a family has 6 children, in how many ways can the parents have 3 boys and 3 girls as children?
Answer:
one way?
Step-by-step explanation:
huh? what do you mean by this question?
PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
We know that f(x) is a positive, decreasing, and concave down function.
Therefore, the order, from least to greatest is:
right endpoint (since you're considering the smallest values)actual areamidpoint trapezoidalright endpointPLEASE HELP WITH BOTH I WILL GIVE BRAINLIST PLEASE THANK YOUUU
50 Points!
During a particular week, a company wants Angie and Dylan to work at most 60 hours
between them. Write the inequality that shows x, the number of hours Angie works,
and y, the number of hours Dylan works.
Pllzzzzzzz help now it’s due today
Answer:
Step-by-step explanation:
Simplify using the distributive property.
7/6 (30 − 18)
A. 14
B. 35
C. 56
D. I don't know.
The distributive property to simplify the expression 7/6 (30 − 18) is (a) 14
Using the distributive property to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
7/6 (30 − 18)
When the expression is expanded, we have the following
7/6 (30 − 18) = 7/6 * 30 − 7/6 * 18
Evaluate the products
This gives
7/6 (30 − 18) = 35 − 21
Lastly, we have
7/6 (30 − 18) = 14
Hence the expression when simplified is (a) 14
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A cookie recipe calls for 3 cups of sugar and yields 24 cookies how much sugar will be needed to make 3 dozen cookies
Answer:4.5 cups of sugar
Step-by-step explanation:
Okay so 24 cookies is 2 dozen
1 cup of sugar would be used for every 8 cookies
3 dozen is equal to 36 cookies
36/8=4.5 so you would need 4.5 cups of sugar
please help I really need it guys
Answer:
45 feet.
Step-by-step explanation:
The Lighthouse is half of the Base.
help. please. I need help
Does any one know how to solve 1.69 x 6?
10.14
explain explain explain explain
Answer:
10.14
Step-by-step explanation:
1.69
x 6
------
10.14
The decimal points do not need to line up when multiplying..
1. The 6 on the bottom is multipled by the 9 on top which gets us 54 we write down the 4 and carry the 5.
2. The 6 on the bottom is now multiplied with the other 6 on top which gets us 36 plus the 5 that we carried earlier in the first step which equals 41. 36 + 5 = 41 We write down the 1 and carry the 4.
3. The 6 on the bottom is now multiplied with the 1 on top which gets us 6 plus the 4 that we carried ealier in the second step which equals 10. 6 + 4 = 10
4. So now we have the numbers 1014 but we can't forget about the decimal. Count all the numbers behind the decimal in the top and bottom numbers (if the bottom number doesn't have any numbers behind it, then no need to count), and we get two numbers behind the decimal.
5. When a number has no decimal in between the numbers then the decimal will always be at the end. So now we move the decimal (at the end) two times to the left and get 10.14
Check:
10.14 ÷ 6 = 1.69
True statement.
Hope this helps :)
I also need help with this cuase honestly i'm really bad at math
Answer:
A
Step-by-step explanation:
Angles that form a straight line ( add up to 180 ) are supplementary
angles 1 and 2 / 3 and 4 / 5 and 6 /angles 7 and 8 are all supplementary
Angles 1 and 7 are congruent angles
so angle 2 = 125
Subtract 125 from 180 = 55
180 - 125 = 55 degrees
solve 7(82 - 60) + 3³
Answer:
181
Step-by-step explanation:
7× (82 - 60) + 3³
or. 7 × 22 + 27
or 154 + 27
or. 181
PLZ HELP THANK YOU BRAINLIEST IF CORRECT select all that apply (look at the photo)
PLS HELP ASAP
Simplify 8 − (14). (1 point)
Question 5 options:
1)
−22
2)
−6
3)
6
4)
22
1. Find the mean, median, mode, and range of
the following set of data: 1,2,4,6,4,4
Step-by-step explanation:
the median is 4
the mean is 1+2+4+6+4+4/6
21/6=7\2
6.5 the mode is 4
Pls help 10pts which model shows 33 1/3?
The model that shows 33 1/3% is the first model that has one shaded box and two unshaded boxes.
What is percentage?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency and the sign used to represent percentages is %.
33 1/3 % is expressed as a mixed fraction, that is it is made up of a whole number and a proper fraction. In order to convert 33 1/3 % to a fraction, divide 33 1/3 % by 100
33 1/3 % ÷ 100 = 1 / 3
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PLEASE HELP ME WITH THIS
Answer:
"dadadaddda"
Step-by-step explanation:
"daddadada"
Find the slope of the line that passes through the given points.
(−9, 8) AND (6, -3)
m =
Suppose that the functions q and r are defined as follows.
g(x)=x² +5
r(x)=√x+7
Find the following.
(roq)(2) = 0
&
X
(q or)(2) =
5
?
Answer:
(r o g)(2) = 4
(q o r)(2) = 14
Step-by-step explanation:
Given
[tex]g(x) = x^2 + 5[/tex]
[tex]r(x) = \sqrt{x + 7}[/tex]
Solving (a): (r o q)(2)
In function:
(r o g)(x) = r(g(x))
So, first we calculate g(2)
[tex]g(x) = x^2 + 5[/tex]
[tex]g(2) = 2^2 + 5[/tex]
[tex]g(2) = 4 + 5[/tex]
[tex]g(2) = 9[/tex]
Next, we calculate r(g(2))
Substitute 9 for g(2)in r(g(2))
r(q(2)) = r(9)
This gives:
[tex]r(x) = \sqrt{x + 7}[/tex]
[tex]r(9) = \sqrt{9 +7{[/tex]
[tex]r(9) = \sqrt{16}[/tex]{
[tex]r(9) = 4[/tex]
Hence:
(r o g)(2) = 4
Solving (b): (q o r)(2)
So, first we calculate r(2)
[tex]r(x) = \sqrt{x + 7}[/tex]
[tex]r(2) = \sqrt{2 + 7}[/tex]
[tex]r(2) = \sqrt{9}[/tex]
[tex]r(2) = 3[/tex]
Next, we calculate g(r(2))
Substitute 3 for r(2)in g(r(2))
g(r(2)) = g(3)
[tex]g(x) = x^2 + 5[/tex]
[tex]g(3) = 3^2 + 5[/tex]
[tex]g(3) = 9 + 5[/tex]
[tex]g(3) = 14[/tex]
Hence:
(q o r)(2) = 14