Answer:
x = 4, y = -3
Step-by-step explanation:
{2x - y = 11
{x + 3y = -5
You can use the substitution method by solving for x in the second equation:
x + 3y = -5
Subtract 3y from both sides:
x = -3y - 5
Now, substitute this value for x into the first equation:
2x - y = 11
2(-3y - 5) - y = 11
Distribute:
-6y - 10 - y = 11
Add 10 to both sides:
-6y - y = 21
Combine like terms:
-7y = 21
Divide both sides by -7:
y = -3
Next, substitute this value for x into the second equation:
x + 3y = -5
x + 3(-3) = -5
Multiply:
x - 9 = -5
Add 9 to both sides:
x = 4
Write each verbal expression as an algebraic expression.
6 times the difference of d and 5
help please
Answer:
6(d-5)
Step-by-step explanation:
i think this must be the equation
Classify the triangle as acute, right, or obtuse.
45
110°
25°
Write an inequality for this statement . ( you do not have to solve) Miguel is planning on going to the arcade with $17.60 in his pocket. It will cost him $8 to get there and get home by a taxi . If all games cost 25 cents . Write and solve an inequality to show the number of games he can play.
Answer:
8 + .25x < 17.60
Step-by-step explanation:
The inequality sign should be less or equal to 17.60, but I don't have that on my phone.
6. Which equation written in slope-intercept form represents the trend line 1 shown on the scatter plot below?
9514 1404 393
Answer:
B
Step-by-step explanation:
The line has a y-intercept of 40 (in agreement with all answer choices). It goes through the point (6, 30), so has a "rise" of -10 for a "run" of 6. The slope is ...
m = rise/run = -10/6 = -5/3
The equation with a slope of -5/3 is the one shown in choice B.
Answer:
B
Step-by-step explanation:
Helpp I don’t understand
Consider the graphs of functions f(x) and g(x). Use the drop-down menu to complete the statement. On the interval 3≤x≤∞, function Choose... has a greater rate of growth.
Answer:
g(x) has the greater rate of growth
Step-by-step explanation:
Find m
Someone pleaseee helppAnswer:
107°
Step-by-step explanation:
m∠m+m∠p= 180°
(7x+31)°(21x-19)°=180°
7x+31+21x-19= 180
7x+21x=180+19-31
28x=168
x= 168/28
x= 6
m∠p= (21x-19)°
= (21(16)-19)°=(126-19)°
= 107°
------------
hope it helps..
have a great day!!
Two chords intersect within a circle to form an angle whose measure is 53 degrees. If the arcs are represented by 3x+3 and 10x-14, find the measure of the LARGER of these two arcs.
Answer:
76degrees
Step-by-step explanation:
Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;
Angle at the vertex = 53 degrees
Half the sum of intercepted arcs = 1/2(3x+3+10x-14)
Half the sum of intercepted arcs = 1/2(13x-11)
Equating to the vertex to find x
1/2(13x-11) = 53
13x - 11 = 2 * 53
13x - 11 = 106
13x = 106 + 11
13x = 117
x = 117/13
x = 9
For the arc 3x + 3
= 3(9) + 3
= 27 + 3
= 30degrees
For the arc 10x - 14
= 10(9) - 14
= 90 - 14
= 76degrees
Hence the measure of the larger of the two arcs is 76degrees
Kyle bought a ticket to see his favorite basketball team playing at home. His seat is in the terrace section, about 178 feet from the center of the court. If the angle of depression to the court is 59 degrees, which of the following represents the height Kyle is sitting? Round to the nearest tenth.
Answer:
128.6
Step-by-step explanation:
I just did the math
Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x + 8)^2 - 7 = 0
Answer:
x
= − 5.35424868 , − 10.64575131
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x+8)^2=7
(x+8) = [tex]\pm \sqrt7[/tex]
x = [tex]\sqrt7[/tex]-8 and -8-[tex]\sqrt7[/tex]
which is about -10.65 and -5.35
Mandy made a circular flower garden with a
diameter of 7 feet. She wants to put a fence
around the outside of the garden. About how
much fence does Mandy need to buy? (Use 3.14
for r.)
A.
11 feet
B. 22 feet
C. 38 feet
D. 44 feet
Answer:
b. 22
Step-by-step explanation:
7 x 3.14 = 21.95
( you have to buy 22 because you connot buy half of one so
you have to round up)
21.95 - 22
At Super Grocery, potatoes cost $2.85 for 5 pounds. At Value Market, potatoes cost $4.20 for 7 pounds. What is the unit price of a pound of potatoes at Value Market.
Answer:
$1.66 per pound of potatoes.
Step-by-step explanation:
7/4.20 = 1.66$ per Pound
Mark as brainllest
$1.66 per pound of potatoes.
what is 1 x 5?
also what is 200 plus 200
Answer:
1 x 5 = 5
and
200 + 200 = 400
(Hope this helps! Btw, I answered first. Brainliest please! :D)
Sandra buys stamps that cost $0.65 each. She spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65.
How many stamps does Sandra buy?
Answer:
1 Stamp = $0.65
Stamps Bought= $158.60/0.65
=244 Stamps
Can someone just plz help me I'm begging plz
Answer:
x=70°
Step-by-step explanation:
Three triangles can be made out of that shape so total int. angles = 3 x 180°=540°.
so 40 + 110 + 4x + 40 + x = 540°
190+5x=540°
5x=350°
x=350/5=70°
please answer the questions
Three hikers wanted to share the weight of their backpacks equally. Their backpacks weigh 31, 37, and 25 pounds. How much weight should each hiker carry?
a) 31
b) 39
c) 93
d) 30
Answer:
A
Step-by-step explanation:
Answer:
The answer is A) 31
Step-by-step explanation:
31 +37 +25 = 93
93 divided by 3 = 31
Plz help me!!! Giving brainliest if someone else answers it. I put 2 questions
Answer:
1) C
2) A
Hope it Helps!
:)
Determine whether the Law of Cosines or the Law of Sines is needed to solve the triangle a = 11, b = 13, c = 7
Answer:
Step-by-step explanation:
Use the Law of Cosines:
c^2 = a^2 + b^2 - 2ab*cos C becomes
7^2 = 11^2 + 13^2 - 2(11)(13)cos C.
Once you have cos C, and then side c, you can use the Law of Sines to find the other two interior angles.
A data set is normally distributed with a mean of 27 and a standard deviation of 3.5.
Find the.z-score for a value of 25, to the nearest hundredth.
Answer: -0.57
Step-by-step explanation:
z-score: data - mean / standard deviation
25 - 27 / 3.5
= -0.57
HELP! I NEED HELP ASAP
Step-by-step explanation:
yes the 10' wave is the outlier
Answer:
The correct option is .The 10 foot wave is an outlier.
Step-by-step explanation:
Find the slope of this line: (15,7) (3,-2)
Help
Answer:
[tex]m=\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(15,\:7\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)[/tex]
[tex]m=\frac{-2-7}{3-15}[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]m=\frac{3}{4}[/tex]
PLEASE HELP!! Write the equation on the line that matches the table.
How many lines of symmetry does this rectangle have?
A. 1
B. 2
C. 3
D. 4
E. 5
Answer:
A rectangle has 4 sides with C: Two Lines of Symmetry.
Step-by-step explanation:
Find an expression for the perimeter of the rectangle. Write your answer in standard form.
Answer:
B. 12x + 8
Step-by-step explanation:
2x + 5 + 4x - 1 + 2x + 5 + 4x - 1
Combine like terms.
6x + 5 - 1 + 2x + 5 + 4x + 1
8x + 5 - 1 + 5 + 4x - 1
12x + 5 - 1 + 5 - 1
12x + 10 - 1 - 1
12x + 10 - 2
Subtract 2 from 10 to get 8.
12x + 8
The perimeter of the rectangle is 12x + 8, which is B.
Question 1
Which statement about the system of equations y = 3x + 9 and y = 3x – 4 is true?
A. No solution
B. Infinite solutions
C. Exactly one solution
D. Different y-intercepts so there are two solutions
Answer:
A. no solution
Step-by-step explanation:
y = 3x + 9
y = 3x - 4
Let's solve this.
We can see that both equations equal y, so we can set them equal to each other.
3x + 9 = 3x - 4
Combine like terms.
[add 4 to both sides]
3x + 13 = 3x
[subtract 3x from both sides]
13 = 0
This statement is not true; therefore, there is no solution.
If we look at the graph below, we can see the lines are parallel. Parallel lines will never intersect and have no solution in a system of equations.
Hope this helps!
Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Answer: 78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Height is 7 inches and the diameter is 2 inches what is the radius
Answer, 1
The radius is half the diameter
PLS HELP WILL GIVE BRAINY THINGY TO CORRECT ANSWER PLUS 100 POINTS!!!
Toby is choosing a bank account.
He wants to invest his money for 5 years.
Account 1: 7.2% interest paid at the end of 5 years.
Account 2: 1.49% compound interest, paid annually.
Account 3: 1.9% simple interest on the starting amount, paid annually.
How much interest will Toby earn on £1000 with each account?
Round your answers to the nearest penny.
Write down which account Toby should choose in the comment box.
Account 1: £
Account 2: £
Account 3: £
Answer:
Account 1: £720, account 2: £1227.38, account 3: £950.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
An eagle perched 40 ft up in a tree looks down at a 35 degree angle(angle of depression) and spots a vole. How far is the vole from the eagle(diagonal) to the nearest tenth of a foot?
Answer:
[tex]X=49ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height of Eagle [tex]h=40ft[/tex]
Angle of depression [tex]\theta=35\textdegree[/tex]
Generally the trigonometry equation for diagonal X is mathematically given by
[tex]Cos\theta \textdegree=\frac{Adjacent}{Hypotenuse} }[/tex]
[tex]Cos\theta \textdegree=\frac{h}{X} }[/tex]
[tex]X=\frac{40}{Cos 35 } }[/tex]
[tex]X=48.83ft[/tex]
[tex]X=49ft[/tex]