Step-by-step explanation:
3x-4y=13
y=-3x-7
3x-4(-3x-7)=13
3x+12x+28=13
15x=-15
x= -1
y= -3x-7 = 3-7= -4
( -1, -4)
An employee makes less than
$
78
,
000
a year in income. Which inequality and graph represent the employee’s possible income?
The inequality of the statememt is x < 78000
How to determine the inequalityFrom the question, we have the following parameters that can be used in our computation:
An employee makes less than $78,000 a year in income.
Represent the earnings of the employee with x
So, we have
x is less than $78,000
When represented as an inequality, we have
x < 78000
See attachment for the graph
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In ΔEFG, g = 4.3 cm, e = 9.1 cm and ∠F=116°. Find the length of f, to the nearest 10th of a centimeter.
Answer:
11.6
Step-by-step explanation:
The length of f of the triangle is f = 11.7 cm
What is Law of Cosines?The Law of Cosines is a mathematical formula used to find an unknown side or angle of a triangle, given the lengths of the other two sides and the angle opposite the unknown side. It is also known as the Cosine Rule.
The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite side c, the following equation is true:
c² = a² + b² - 2ab cos(C)
where cos(C) is the cosine of angle C. This formula can be rearranged to solve for any of the variables, depending on which values are known.
Given data ,
Let the triangle be represented as ΔEFG
And , the measures of the sides of the triangle are
g = 4.3 cm
e = 9.1 cm
And , measure of angle ∠F = 116°
where c² = a² + b² - 2ab cos(C)
On simplifying , we get
a² = c² - b² + 2abcos ( C )
78.26 ( cos 116° ) - 4.3² - 9.1² = f²
f² = 135.7344
Taking square roots on both sides , we get
f = 11.7 cm
Hence , the length is f = 11.7 cm
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A person can pay $6 for a membership to the science museum and then go to the museum
for just $1 per visit. For a member of the science museum, what is the total cost of 44
visits?
Five students each wrote an expression to represent the perimeter of the given rectangle. Terrell wrote this correct expression: (2x + 2x) + (5x + 5x) + (1 + 1). Circle the name of the student who wrote an incorrect expression. Explain why the expression is incorrect. Anya: 2x + 2x + 5x + 1 + 5x + 1 Katrin: 2(5x + 1) + 2x Luis 2(2x) + 2(5x + 1) Steve: 1 + 1 + x(2 + 2 + 5 + 5)
Answer:
Luis wrote an incorrect expression.
Step-by-step explanation:
As per Terrell, the correct expression is (2x+2x) + (5x+5x) + (1+1) which is equal to 12x + 2
For you who got incorrect answer, the answer if you simplified it must be 12x + 2. Let's check:
Anya 2x+2x+5x+1+5x+1 =
12x + 2 [CORRECT]
Katrin 2(5x+1) + 2x
10x+2+2x
12x + 2 [CORRECT]
Luis 2(2x) + 2(5x+1)
4x+10x+2
14x + 2 [INCORRECT]
Steve 1+1+ x(2+2+5+5)
2+ x(12)
12x + 2 [CORRECT]
3. Identify the pair of angles,
2
O complementary
supplementary
neither
Answer:
I am almost positive it is Complementary.
Step-by-step explanation:
Sorry if i am wrong please let me know if i am.
Solve the equation. 4x-3=5x-7
Answer:
x=4
Step-by-step explanation:
4x-3=5x-7
-1x-3=-7 Subtract the 5x on both sides
-1x=-4 Add the -3 to the -7
x=4
Answer:
8q7s6271 be ta up dkdieow
find the value of x
solve for x
Answer:
20°Step-by-step explanation:
This is equilateral triangle as all sides are equal.
All the internal angles are equal to 60°.
3x = 60°x = 60°/3x = 20°Answer:
20 degrees
Have a good day!
What is the answer please
Answer:
I would say 45
Step-by-step explanation:
180-90=90
90/2=45
What is the value of x?
Answer:
a
Step-by-step explanation:
6^2+8^2=100
sqrt of 100 = 10
Answer:
A. 10
Step-by-step explanation:
The area of a rectangle is represented by 3x^2 + 14x + 8. Factor the area to determine the dimensions of the rectangle.
Answer:
(3x+2)(x+4)
Step-by-step explanation:
(3x+2)(x+4) = (3x)(x) + (3x)(4) + (2)(x) + (2)(4)
= 3x² + 12x + 2x + 8 *****
= 3x² + 14x + 8
You start by figuring it will be in the form of (3x + a)(x + b) because 3 doesn't factor. The two middle terms in the line followed by the stars must add up to 14x. And in (3x + a)(x + b), ab must be equal to the 8 on the end (the constant factor).
For most people, factoring takes a LOT of practice. And somethimes you just have to try a lot of factors before you hit the right combination. But if you do it enough, it really does get easier to 'see' the answer a lot of the time.
Hope this helped!
A right rectangular prism has a square base with a side length of 3 inches. The height of the prism is 8 1/4inches. What is the volume of this prism?
Answer:
Step-by-step explanation:
V = 3*3*8.25= 74.25 cubic inches
b(b-5)²=0
what is the answer?
Answer:
this is your answer..
OK hope this is k
helpful for you.
Mariam is a waitress at a restaurant. Each day she works, Mariam will make a guaranteed wage of $30, however the additional amount that Mariam earns from tips depends on the number of tables she waits on that day. From past experience, Mariam noticed that she will get about $9 in tips for each table she waits on. How much would Mariam expect to earn in a day on which she waits on 19 tables? How much would Mariam expect to make in a day when waiting on t t tables?
Answer:
19 tables = $201
t tables = 9t+30
Step-by-step explanation:
the slope would be 9 because she gets $9 for each table (t), 30 would be the y-intercept because she will always get that amount each week.
Insert 19 to equation:
y(t) = 9(19) + 30
Solve:
201
Hope this helped :)
What would you multiply by to increase a number by 4%?
Answer:0.04
Step-by-step explanation:4% is just 0.04. Example I multiply 2 by 4% i get 0.08. I multiply 2 by 0.04 i get 0.08. Hope this helped.
write an equation for the line that passes through the points (3,5) and (2,-2)
Answer:
Step-by-step explanation:
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Please help me with this homework
Answer:
See screenshot below
Step-by-step explanation:
Yes Bus Column:
We need to find an answer for the "no taxi" section. And we have the total and the "yes taxi" section. So, the "yes taxi" section + the "no taxi" section gives you the total. Another way of saying this is total - "yes taxi" = "no taxi"125 - 30 = 95No Bus Column:
We need to find the total of the "yes taxi" section and the "no taxi" section. So, if we add those two sections together, we'll get the total90 + 185 = 275Total column:
So, this column is really simple to fill out. All we're doing it adding our answers above to get one answer in each section."Yes Taxi" section: 30 + 90 = 120"No Taxi" section: 280Total section: 125 + 275 = 400We could have also done the total section by adding together 120 and 280, but we would get the same answer, anyway.I hope this helps!
Which of the following edges is parallel to AB?
DT
BC
QR
BR
Answer:
QR
Step-by-step explanation:
Other than all opposite pairs of sides are parallel, all other segments intersect at a point.
Answer:
QR
Step-by-step explanation:
QR is parallel to AB because it is going in the same direction as QR is, and the other answer choices are incorrect.
Look at the square find the value of C
Answer:
5
Step-by-step explanation:
Perimeter is created by add all sides together
20 / 4 sides = 5
The first three terms of a sequence are given. Round to the nearest thousand (if necessary). 9, 18, 36 Find the 6th term.
What is the slope of the line that passes through the points (5, 17) and (2,5)?
Factor.
64x2−25y2
Enter your answer in the box.
Answer:
(8x-5y)(8x+5y)
Step-by-step explanation:
Using the square principal because the square root of 64x2 is 8x and the square root of 25y2 is 5y and +- because +times- is only minus and the equation is minus.
PLEASE HELP ME I WILL MARK RBAINLIEST I SWEAR
Answer:
160=b
14
b: 2240
Answer:
b= 2240
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
then you simplify
hope this helps!
NEED HELP ASAP!!
Use Pythagorean Theorem to solve. Round to the nearest tenth
20 cm
21 cm
Your answer
Answer:
20²+21² = x²
841= x²
x= 29
nearest tenth = 30
Answer:
[tex] \boxed{x = 29}[/tex]
Step-by-step explanation:
[tex] {x}^{2} = {21}^{2} + {20}^{2} \\ {x}^{2} = 841 \\ x = \sqrt{841} \\ x = 29[/tex]
HELP PLZ MARKING BRAINLIEST
Answer:
17.5
Step-by-step explanation:
2.5 multiplier
Which of the following rational functions is graphed below?
A. F=1/3x^2
B. F=1/(x-3)^2
C. F=1/(x+3)^2
D. F=3/x^2
Answer:
B. F=1/(x-3)^2
Step-by-step explanation:
Math ez.
Plssss someoneee helppp MEE withhh thissss PLEASEEEE
Answer:
I think it is 5x+2y=41
Step-by-step explanation:
porfa ayuda plissss
(SINO SABES NO CONTESTES)
DOY PUNTOS
Answer:
B
Step-by-step explanation:
Si cuentas desde el once hasta el espacio entre A y B llegas hasta 5. Entonces el número que está en ese espacio es 11.05
Answer:
ES LA B AMIGA
Step-by-step explanation:
Which expression is equivalent to 24 x 2 - 22 x + 5?
Answer:
26x+5
Step-by-step explanation:
Heather invests $3572 in a retirement account with a fixed annual rate of 5% compounded 4 times per year what will the account balance be after 16 years
Answer:
$7910.3
Step-by-step explanation:
Given data
P=$3572
n=4
T=16 years
R= 5%
The compound interest is expressed as
A= P(1+r/n)^nt
Substitute
A=3572(1+0.05/4)^16*4
A=3572(1+0.0125)^64
A=3572(1.0125)^64
A=3572*2.21453241061
A=$7910.3
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the length of \overline{AC}? AC ?
Answer: [tex]\overline{AC}=[/tex] 12.5
Step-by-step explanation: The triangle ABC and its altitude [tex]\overline{BD}[/tex] is represented in the figure below.
Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of [tex]\overline{BD}[/tex], now we have two similar triangles, which means that ratios of corresponding sides are equal:
[tex]\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}.\overline{AD}[/tex] (1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
[tex]\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}[/tex] (2)
Substituting (2) into (1):
[tex]\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}[/tex]
We want to find f, so:
[tex]\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}[/tex]
[tex]f=\frac{10^{2}-5^{2}}{10}[/tex]
f = 7.5
The length of [tex]\overline{AC}[/tex] is
[tex]\overline{AC}=f+5[/tex]
[tex]\overline{AC}=7.5+5[/tex]
[tex]\overline{AC}=12.5[/tex]
The length of the hypotenuse of triangle ABC is 12.5 units.
Answer:
x = 20
Step-by-step explanation:
