2. How many solutions does the system have?
y = 2x - 5
y = 2x + 3
a. One solution
b. Two solutions
c. No solutions
d. Infinitely many solutions
Answer:
I think it is b or d I'm not sure though
What is the measure of AXG
Answer:
angle AXG will be 40°
because AXG is vertically opposite to FXD
so they both will be equal
Determine the solution to the system of equations:
x = 2y - 5
3y + x = 10
Answer:
In this system of equations, x is equal to one, and y is equal to three.
Step-by-step explanation:
We can solve this by rearranging either equation to define either x or y, and plugging that into the other. As it happens, the first equation is conveniently arranged to define x, so let's use that:
3y + x = 10
3y + (2y - 5) = 10
5y - 5 = 10
y - 1 = 2
y = 3
Now that we know the value of y, we can plug it in to either of the original equations to find x:
x = 2y - 5
x = 2(3) - 5
x = 6 - 5
x = 1
Now we can check that our answer is correct by plugging that x value into either of the original equations:
3y + x = 10
3y + 1 = 10
3y = 9
y = 3
And because that gives us our original y value, we know that our answer is correct.
Which ordered pair is a solution to the system of equations? 3x 2 3y 5 29 2x 1 y 5 23
Answer:
Step-by-step explanation:y=3x4y5815
ASAP pls pls pls pls pls pls
Answer:
D is the answer.
[tex]16x {}^{2} - 81 = 0 \\ (4x - 9) \times (4x + 9) = 0 \\ [/tex]
[tex]4x - 9 = 0 \\ 4x = 9 \\ x = \frac{9}{4} \\ or \\ 4x + 9 = 0 \\ 4x = - 9 \\ x = - \frac{9}{4} [/tex]
Use a calculator to find the trigonometric value to
4 decimal places.
tan 31°
=
Answer:
Approximately 0.6009
The value of tan 31 is 0.6008606.
What is Trigonometry?
The branch of mathematics concerned with specific functions of angles and their application to calculations.
As, the angle 31° lies between 0° and 90° (First quad).
So, tangent function is positive in the first quadrant.
Tan 31 degrees= tan (0.54105 . . .) in radians.
As, using degree to radian conversion,
θ(radians) = θ in degrees × (π/180°)
31 degrees = 31° × (π/180°) rad
= 0.5410
So, tan 31°
= tan(0.5410)
= 0.6008606.
Hence, tan 31= 0.6008606.
Learn more about trigonometry here:
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If James measures 5 feet 4 inches tall, how tall is James in inches? Answer without units. plss help
Answer:
64
Step-by-step explanation:
he's 64 inches tall
- multiply 12 by 5, which is 60
- then add four, 60 + 4 = 64
A can of soda weighs 336 grams. Find the weight in kilograms of 15 cans.
Answer:
5.04
Step-by-step explanation:
1 can equals to 336 grams
so 15 cans will equal to 336 X 15
which is 5040grams
now covert it into kg by dividing it by 1000
which 5.04
plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1
Step-by-step explanation:
dy/dx
= d/dx [x / (1 - x²)]
= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²
= (1 + x²) / (1 - x²)².
When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.
=> 1 + x² = 1 - x²
=> 2x² = 0, x = 0.
Also when x = 0, y = (0) / [1 - (0)²] = 0.
Hence the coodinates is (0, 0).
Casey paid a total of $24.00 for 4 shirts. If each shirt costs the same amount, what is the price of one
shirt?
Answer:
$6
Step-by-step explanation:
6 x 4 = 24
8 (n + 2) = __n + __
Answer:
The blanks are 8 and 16
Step-by-step explanation:
Distribute the 8:
8(n + 2) = 8*n + 8*2 = 8n + 16
please answer fast this is a test question
Which value for d makes the expressions 3d−4 and 12d÷6 equivalent?
Answer:
4
Step-by-step explanation:
We can actually make the two equal each other like so:
3d-4=12d/6
Multiply both sides by 6:
18d-24=12d
Add 24 to both sides:
18d=12d+24
Subtract 12d from both sides:
6d=24
Divide by 6:
d=4
4
Your school is going to have a free dress day if 80% of students do their homework. There are 300 students at your school and 210 of them did their homework. What percent of students did their homework last week?
Answer: 70 % of students did their homework last week.
Step-by-step explanation:
Given :
Total students = 300
Students who did their homework = 210
Percentage of students who did their homework = [tex]\frac{\text {Students who did their homework}}{\text {Total students}}\times 100\%[/tex]
Putting the values we get:
Percentage of students who did their homework = [tex]\frac{210}{300}\times 100\%=70\%[/tex]
Thus 70 % of students did their homework last week.
February 29th is on Sunday. on what day will the next February 29th be?
Answer: Friday
Step-by-step explanation:
If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.
First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.
We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.
Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.
Helppp me plsss!!!! I need help
Find the area of the figure. Round your answer to the nearest tenth.
Answer:
[tex]17.3\:\mathrm{m^2}[/tex]
Step-by-step explanation:
Solution 1:
As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be [tex]\frac{4}{2}\cdot\sqrt{3}=2\sqrt{3}[/tex]. The area of this figure can be given as [tex]b\cdot h[/tex], therefore our answer is [tex]5\cdot 2\sqrt{3}\approx \fbox{$17.3$}[/tex].
Solution 2:
The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by [tex]\frac{1}{2}ab\sin C[/tex]. Since there are 2 of these triangles, the area of the entire figure is [tex]2\cdot\frac{1}{2}\cdot4\cdot 5\cdot \sin 60^{\circ}\approx \fbox{$17.3$}[/tex].
can someone help me with this please? 10 points!
Answer:
The answer is D.
Step-by-step explanation:
The car travels 16 miles in 1 hour, then stops for 3 hours, and finally travels 1 hour again for 32 miles.
pls help will give brainlist
Answer:
95π
Step-by-step explanation:
area of a circle=πr²
radius of the big circle = 24/2=12
area of big circle = π(12)² = 144π
are of small circle = π(7)² = 49π
shaded area = area of big circle - area of small circle
= 144π-49π
= 95π
13
A new business is hiring managers and employees. The company needs at least 20 managers and no more than 500 employees. A total of at least 400 people
must be hired. Complete the table to show a system of linear inequalities representing the constraints of this situation. Let a represent the number of
managers and let y represent the number of employees. Enter your answer in the box provided.
Constraint
Inequality
A total of at least 400 people must be hired
No more than 500 employees
At least 20 managers
Only number 14. Pls explain this is confusing
Answer:
9.8
Step-by-step explanation
basically its just x/sin55=12/sin90 bc you plug into equation a/sina= b/sinb so then you x/sin55=12
sin55*12=x x=9.8
hi i’ll give you brainliest if you answer my question.
Given the function f (x)=2^x
determine the equation of a new function, g(x), that is reflected over the x-axis and then shifted 5 united down
is it b or d pls help
Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7
Answer:
[C] f(-3) = 11
Step-by-step explanation:
f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =11Find the new amount given the original amount and the percent of change. $35,000; 7% decrease
Answer:
7%=50
34950 7% decrease
35050 7% increase
Step-by-step explanation:
if 35000 is before the 7% decrease then it would be 34950
if after 35050
Then after you graph what is the ordered pair (x,y)
Answer:
Step-by-step explanation:
Are these triangles similar?
Answer:
B. Yes, by the AA Similarity Postulate
Step-by-step explanation:
This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...
m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)
m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°
Then from here we know that
m∠BDC = 180° - 85° - m∠CBD
m∠BDC = 95° - 42°
m∠BDC = 53°
From here we see that they are similar because of the AA Similarity Postulate, since
m∠ABE = m∠CBD = 42°
m∠BDC = m∠EAB = 53°
m∠AEB = m∠BCD = 85°
In Jefferson Middle School, 5% of the sixth graders have red hair. If there are 100 sixth graders, how many have red hair?
5
20
50
95
help im am i n a test !!!!
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
[tex] \frac{5}{100} \times 100[/tex]
If line a and b are parallel, what is the value of x?
Please help me
5/2=d−2/4 solve the proportion
Answer:
5/2+2/4=d
or d=3
Step-by-step explanation:
its all
the diagram shows an isosceles triangle. the area of the triangle is 12cm squared. workout of the perimeter of the triangle
Answer: X= 2.4cm
Step-by-step explanation:
Take half the triangles base which is 2.5 CM
draw a line up through the middle, and get half the area which would be 6cm^2
now divide 6cm by 2.5 and get 2.4 Cm
So x=2.4 CM
The Perimeter of the isosceles triangle is 15.8 cm
Let h represent the height of the triangle. Using Pythagoras theorem:
x² = h² + 2.5²
h² = x² - 6.25
h = √(x² - 6.25)
The area of the triangle is 12 cm², hence:
12 = (1/2) * 5 * √(x² - 6.25)
√(x² - 6.25) = 4.8
x = 5.41 cm
Perimeter of triangle = 5 cm + 5.41 cm + 5.41 cm = 15.8 cm
The Perimeter of the isosceles triangle is 15.8 cm
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What is the ratio of 3 to 5 to 7 susan shared amounts to 3500 calculate the total s of the number Brian's share and tye percentage of the total amount that mark receives