Answer:
X=4, y=-7
Step-by-step explanation:
To use elimination method, you want to cancel x or y when adding the equations together. So let’s multiply the first equation by -2
2(y)=2(-x-3)
2y=-2x-6
——————
add above equation 2y=-2x-6
to second equation Y=2x-15
add together. 3y=-21
Y=-7
—————————————-
solve for x by substituting y value (7) into either equation
y=-x-3
-7=-x-3
-4=-x
4=x
If θ is an angle in standard position and its terminal side passes through the point (-7,-5), find the exact value of cot θ cotθ in simplest radical form.
Plot the point (-7, -5). We are in quadrant 3.
We also know that tan θ = opp/adj.
Cot θ = adj/opp.
Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.
Look: (-7)^2 + (-5)^2 = r^2
If you should ever need to find r, do this:
(-7)^2 + (-5)^2 = r^2
(49) + 25) = r^2
74 = r^2
Take the square root on both sides of the equation to find r.
sqrt{74} = sqrt{r^2}
sqrt{74} = r
It is ok to simplify the sqrt{74} but not needed.
We now have the three sides of the triangle that is form in quadrant 3.
We can now read cot θ from the triangle itself.
So, cot θ = adj/opp = (-7)/(-5) or 7/5.
No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
Pamela is 10 years older than Jiri. The sum of their ages is 54. What is Jiri's age?
Answer:
22
Step-by-step explanation:
∆ABC is mapped onto ∆A'B'C' which is then mapped onto ∆A"B"C". ∆ABC and ∆A"B"C" are shown in the diagram.
a. Describe the sequence of transformations from ∆ABC to ∆A"B"C".
b. Describe a single transformation from ∆ABC to ∆A"B"C".
c. What is the relationship between ∆ABC and ∆A’’B’’C’’? Explain your reasoning.
Answer:
1rotation translation dilation
2dilation
3the relationship is the shapes are the same just dilated and in different spots. The shapes are in different spots and are different sizes ut they are the same shape making them related.
Step-by-step explanation:
What is the length of bc in the right triangle?
Answer:
D.39
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2 (Where a and b are the legs of the triangle and c is the hypotenuse)
Using this:
(AB)^2+(AC)^2=(BC)^2 (Pythagorean theorem)
15^2+36^2=(BC)^2 (Substitution)
225+1296=(BC)^2
(BC)^2=1521
BC=39
Answer:
D. 39
Step-by-step explanation:
The three interior angles of a right triangle always have a sum of 180°, and right angles always equal 90°.
Adding the angles shown here,
36+15+90 = 141
And, 180 - 141 = 39°.
Therefore, the length of angle BC is 39°.
1. In the following inequality, x = -2, what type of circle would appear on the number line (open
or closed circle) and in which direction would the arrow point on the number line(right or left)?
Also, what is a possible solution to x2 -2?
Please answer all of the questions in sentence form. *
Answer:
For number one it would be a closed circle poiting to the left because it is a negative number and it is not equal to or less than anything.
For number 2 a possible solution will be 2^2-2 which would equal 2 because 2^2=4 then 4-2=2
I hope this helps you!!
A motorcycle raced around a track at a speed of 110 miles per hour.
If the motorcycle raced for 0.5 hours, how many miles did it travel?
1. Anne and Kelly are exploring a desert. Anne leaves camp and walks for 2 miles at 125 degrees. She then turns to a direction of 40 degrees and walks straight for 3 miles. How far and in what directiort will she have to walk to get back to camp?
. (3, 6) and (6,9)
slope of the line
Answer:
1
Step-by-step explanation:
→ Write down slope formula
[tex]\frac{y2-y1}{x2-x1}[/tex]
→ Identify the values
y₂ = 9, y₁ = 6, x₂ = 6 and x₁ = 3
→ Substitute in values into formula
[tex]\frac{9-6}{6-3}[/tex]
→ Simplify
1
Someone help plz make sure it’s right if it is will mark brainiest:)
Answer:
39
Step-by-step explanation:
At the local farmers market, it costs $10 to rent a stand and $7 for every hour you stay. If you pay a total of $38, how many hours did you stay at the farmers market? *
Answer:
Hello! your answer would be, 4 HOURS
Step-by-step explanation:
38 - 10 = 28
28 / 7 = 4
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
Is (2,21) a solution for y=7x? No Yes
Answer:
No
Step-by-step explanation:
y=7x
21=7(2)
21=14
It is not since the values are not equal.
Brainliest? :o
No, the pair of coordinates (2,21) is not a solution for the equation; y=7x
Solution of an equationAccording to the question;
The pair of coordinates given is (2,21).Hence, by testing the coordinates in the equation; y=7x, we have;
21 = 7(2)21 = 14.Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.
Read more on solution of an equation;
https://brainly.com/question/1397278
what is 5% of 3200? Plz help bro
Find the area of the region bounded by the graphs of f(x)= x^3 + x^2 -6x and
g(x) = 2x - x^2.
A. (20/3)
B. 36
C.(148/3)
D. (256/3)
Convert the number to scientific notation.
299,792,458 meters per second
=
Answer:
2.99792458 × 10∧8 m/s
Step-by-step explanation:
If you want you can shorten the decimal number. m/s means meters per second.
The piecewise defined function f(x) is graphed below. What is the value of f(2)?
The piecewise defined function f(x) is graphed below. What is the value of f(2)?
f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined
Mark this and return
Answer:
the answer is f(2)= - 1
Step-by-step explanation:
i took the test i failed it but i get that right.
Answer:
f(2) = -1
Step-by-step explanation:
took the test
a circle has a radius of sqrt37 units and is centered at 1.3,-3.5
Answer:
80
Step-by-step explanation:
Answer:
(x-1.3)^2 + (y+3.5)^2 = 37
In general, (x-c)^2 + (y-k)^2 = r^2 where (c,k) is the center and r is the radius.
So if the circle with radius 5 has center (3,-4) then it's equation is:
(x-3)^2 + (y+4)^2 = 25
Notice that the second term is (y+4)^2 because the y-coordinate is -4 and y-(-4) = y+4
Factor completely 2x^3 + 6x^2 + 10x + 30
Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
Given equation: ax³ + bx² + cx + dGroup a & b, c & d: (ax³ + bx²) + (cx + d)Pull GCFs and factorsLet's apply these steps to the given equation.
Given equation: 2x³ + 6x² + 10x + 30Group a & b, c & d: (2x³ + 6x²) + (10x + 30)Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
List GCFs: 2x², 10Create a term: (2x² + 10)Finally, we'll need to simplify this one by taking another GCF, 2.
Pull GCF: 2(x² + 5)Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
Can someone plz help me
Answer:
X=37.6 because the 90 degree angle plus the 52.4 equals 142.4 the subtract that from 180 then ta da.
please help ASAP will give brainleast to correct answer plus thank you!
Answer:
B
Step-by-step explanation:
Answer:
B. 0.8(9+w)
Step-by-step explanation:
By combining like terms you will get an equation of 7.2 + 0.8w. I noticed this could be simplified further by grouping and got answer B.
multiple choice, need help with this ASAP; I'll give BRANIEST to whoever gets it right and no links
Answer:
so it should be a,c,e, and b
Step-by-step explanation:
49s square root is 7 and 7 is an integer so check.
7 is a whole number check
7 is rational check
and 7 is a real number check.
How to Subtract this and put in Standard form?
Answer:
-12a2 + 9a - 5
Step-by-step explanation:
the 2 should be small
Find the volume of the sphere. Round your answer to the nearest tenth.
Radius = 18
Answer:
V≈24429.02
Explanation:
V= [tex]\frac{4}{3}[/tex] π r³
Calculate the size of the exterior angles of a regular polygon which has interior angles of:175⁰
Answer: 5
Step-by-step explanation: 180-175=5
Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?
Answer:
See Explanation
Step-by-step explanation:
Given
New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]
We can assume the parent function to be:
[tex]y = \cos (x)[/tex]
The new function can be represented as:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]
Where
A = Vertical stretch factor
B = Period
C = Right shift
By comparison:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]
[tex]A = 3[/tex]
[tex]c = \pi[/tex]
[tex]\frac{2\pi}{B} = 10[/tex]
Solve for B
[tex]B = \frac{2\pi}{10}[/tex]
[tex]B = \frac{\pi}{5}[/tex]
Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:
Vertically stretched by [tex]3[/tex]Horizontally compressed by [tex]\frac{\pi}{5}[/tex]Right shifted by [tex]\pi[/tex]A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. Which hypotheses would determine if the proportion of households that support starting school earlier has changed this year?
Group of answer choices
H 0: p not-equals 0.70, H alpha: p = 0.70
H 0: p = 0.70, H alpha: p not-equals 0.70
H 0: p = 0.65, H alpha: p greater-than 0.65
H 0: p = 0.65, H alpha: p not-equals 0.65
Answer:
C
Step-by-step explanation:
Considering the situation, the hypotheses set that would determine if the proportion of households that support starting school earlier has changed this year is given by:
[tex]H_0: p = 0.65, H_\alpha: p \neq 0.65[/tex]
What are the hypotheses tested?At the null hypotheses, it is tested if there has been no change, that is, the proportion is still of 0.65 = 65%, hence:
[tex]H_0: p = 0.65[/tex]
At the alternative hypotheses, it is tested if there has been a change, that is, the proportion is not of 0.65 = 65% anymore, hence:
[tex]H_\alpha: p \neq 0.65[/tex]
More can be learned about an hypotheses test at https://brainly.com/question/26454209
Could someone help me with these 2 questions
Answer:
Q5: S.A = 216 cm²
Q6: S.A = 254 cm²
Step-by-step explanation:
Q5:
Surface area of a cube = 6a²
a = 6 cm
Plug in the value of a
Surface area of the cube = 6(6²)
= 6(36)
S.A = 216 cm²
Q6:
Given:
Length (L) = 9 cm
Width (W) = 4 cm
Height (H) = 7 cm
Required:
Surface area
Solution:
Surface area of the rectangular prism = 2(LW + LH + HW)
Plug in the values
S.A = 2(9*4 + 9*7 + 7*4)
= 2(36 + 63 + 28)
= 2(127)
S.A = 254 cm²
Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.
Answer:
I think we are missing part of the question.
But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.
On the way home, it was 14 students in the van and 42 students in the bus, the ratio changes to 1:3
You mix 1/2 cup of red paint for every 1/4 cup of blue paint to make 12 cups of
purple paint. How much red paint and
blue paint do you use?
Matteo is working two jobs, making $15 per hour at the movie theater and $18 per hour washing cars. Last week Matteo worked a total of 30 hours and earned a total of $480. Determine the amount of hours Matteo worked at the movie theater and the cash wash.
Answer:
movie theatre = 20 hours
car wash = 10 hours
Step-by-step explanation:
this would be solved using simultaneous equation
let a = hours worked in theatre
b = hours spent wash cars
15a + 18b = 480 eqn 1
a + b = 30 eqn 2
multiply eqn 2 by 15
15a + 15b = 450 eqn 3
subtract 1 from 3
3b = 30
b = 10 hours
substitute for b in eqn 2
a + 10 = 30
a = 20 hours