Answer:
x = -2 and y = 0
Step-by-step explanation:
5x + y = -10
4x - 7y = -8
Rearrange the first equation to equal y.
5x + y = -10
y = -10 - 5x
Replace y in the second equation with the first equation.
4x - 7y = -8
4x - 7(-10 - 5x) = -8
4x - (-70 -35x) = -8
4x + 70 + 35x = -8
Rearrange the equation to find x.
4x + 35x = -8 - 70
39x = -78
x = -2
Now that you know x, use the rearranged first equation to find y.
y = -10 - 5x
y = -10 - 5(-2)
y = -10 + 10
y = 0
Jack drove 41 1/2 miles. He used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon ?
Answer:
How do I have the same problem as a high schooler when im in 6th grade
Step-by-step ex
jsn=55
Please help!!!
Explain and correct the error in this calculation.
Answer:
for more math help use the app called connects
Convert 150 degrees to radians
Answer:
it would be 5pi/6 radians
Step-by-step explanation:
Answer:
[tex]\frac{5\pi }{6\\}[/tex]
Step-by-step explanation:
to convert degrees to radians, use the equation [tex]\frac{\pi }{180\\}[/tex]. then simplify
150*[tex]\frac{\pi }{180\\}[/tex]=[tex]\frac{150\pi }{180\\\\}[/tex]=[tex]\frac{5\pi }{6\\}[/tex]
You have 50 quarters. You find 20% more quarters in your room. Then you go shopping and spend 25% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you have left.
Answer:
$11.25
Step-by-step explanation:
f(x) = x2+ x–1 and g(x) = x+ 3, what is f o g(x)
Answer:
Step-by-step explanation:
[tex]f(x) = x^2 + x - 1\\g(x) = x +3\\\\\\(f\:o\:g)(x) = f(g(x))[/tex]
we input the function g(x) into every x in f(x)
[tex]f(g(x)) = (x+3)^2 + (x + 3) - 1\\f(g(x)) = x^2 + 6x + 9 + x + 3 - 1\\f(g(x)) = x^2 + 7x + 11[/tex]
Perimeter of ABC is 67.
ADC is equilateral and ABC is isosceles. Angle CAB=60, ACB=60 and ACB=60. Find perimeter of triangle ADC.
(Triangle ADB intersects at an angle of 60 deg in triangle ABC.)
Answer:
man can u send the pic of the diagram I will solve it
Write the equation of the line passing through a points A and B.
A(-4,3) and B(-3,9)
Answer: y=6x + 27
Step-by-step explanation:
Answer:
not sure yet. hold on. a second
A meteorologist predicted 28 mm of rain on Friday. The actual amount of rain measures 35 mm. What's the percent error in the meteorologist's prediction? Help plz
Given:
Predicted value of rain = 28 mm
Actual amount of rain = 35 mm
To find:
The percent error.
Solution:
We know that,
[tex]\text{Percent error}=\dfrac{\text{Predicted value - Actual value}}{\text{Actual value}}\times 100[/tex]
On substituting the values, we get
[tex]\text{Percent error}=\dfrac{28-35}{35}\times 100[/tex]
[tex]\text{Percent error}=\dfrac{-7}{35}\times 100[/tex]
[tex]\text{Percent error}=\dfrac{-1}{5}\times 100[/tex]
[tex]\text{Percent error}=-20\%[/tex]
Therefore, the percent error is -20%.
Which statement about the diagram are true? Select three options.
DE+EF> DF
Answer:
wheres the picture dude
Step-by-step explanation:
can anyone help ?????
F(x) = x^3 + x^2-5x-6 at x=2
Answer:
3^2+2^2-5×2-6
9+4-10-6
-3
Step-by-step explanation:
-3 is the answer
Answer:
It could be solved by filling in "x" as 2.
Step-by-step explanation:
F(x) = 2^3 + x^2 - 5(2) - 6
f(x) = 8 + 4 -10 - 6
f(x) = 12 -16
= -4
Hope this is easy enough to understand.
The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?
(−1, 1)
(1, −1)
(3, 2)
(2, 3)
Answer:
it's the point (3, 2)
Step-by-step explanation:
Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)
Answer:
C.✔(3, 2)
Step-by-step explanation:
E-2021
Paula bought a ski jacket on a sale for $7 less then half its original price. She paid $87 for the jacket. What was the original price?
Answer:
$188
Step-by-step explanation:
first you would do 87 + 7 which is 94
then multiply it by 2 which is 188
hope this helps :)
Answer:
The original price of the jacket was $188
Step-by-step explanation:
1/2x - 7 = 87
+7 +7
1/2x = 94
x2 x2
x = 188
PLEASE ANSWER QUESTION ASAP BEFORE 6:30 p.m.
SHOW WORK PLEASE
WRITE IT ANSWER FRACTION PLEASE
As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Alonso bought a 1994 Plymouth Neon for $9559. One year later, the value of the car was $8500. What was the percent of decrease of the value of the car?
P.S. This is a percent increase/decrrease
from: 9559
to: 8500
%/100 = differences of to and from/ from ( before the number )
( no negative difference, bigger number subtract smaller number)
Answer:
11%
Step-by-step explanation:
$9559-$8500=1059
1059/9559= .110786
.110786 x 100= 11.0786%
11.0786%= 11%
how do i find the slope of a line graph
Answer:
rise over run
Step-by-step explanation:
you count the y axis from one point on a line to another then you count the x axis from the same two points and turn this into a fraction of y over x
y/x this is the slope
Find the area of the shape below.
16 cm
7 cm
7 cm
20 cm
Answer:
Area = 230 cm
Step-by-step explanation:
We can split this shape into different parts: a rectangle and a triangle (I attached an image below as a visual aid).
The area of a rectangle is given as:
[tex]Area = width * length[/tex]
and the area of a triangle is given as:
[tex]Area = \frac{1}{2} *base * height[/tex]
Let's first solve for the area of the rectangle. The width of the rectangle is 20cm, and the height of the rectangle is 7cm. So, the area is 7 × 20 = 140cm.
Now, let's solve for the area of the triangle. The base of the triangle is 20 cm, and the height of the rectangle is 16 - 7 = 9cm. So, the area is [tex]\frac{1}{2} * 20 * 9[/tex] = 90cm.
We add the two values together to get the combined area of the shape. 140 + 90 = 230 cm.
What is the opposite of - 7/16
Answer: Positive 7/16
Step-by-step explanation:
Answer:
7/16
Step-by-step explanation:
because the opposite of a negative is a positive.
On the Cartesian plane, the midpoint between two points $A(a,b)$ and $B(c,d)$ is $M(m,n)$. If $A$ is moved vertically upwards 8 units and horizontally to the right 2 units, and $B$ is moved vertically downwards 2 units and horizontally to the left 10 units, then the new midpoint between $A$ and $B$ is $M'$. What is the distance between $M$ and $M'$?
Answer:
5
Step-by-step explanation:
The distance between M and M' is 5 units in the cartesian plane.
What is Distance?The length along a line or line segment between two points on the line or line segment.
The midpoint M of A(a,b) and B(c,d) is given by:
M(a+c/2, b+d/2)
After the two points are moved, the new coordinates are A'(a+2,b+8) and B'(c-10,d-2).
The new midpoint M' of A'(a+2,b+8) and B'(c-10,d-2) is given by:
M'(a+2+c-10/2 , b+8+d-2/2)
M'(a+c-8/2 , b+d+6/2)
To find the distance between M and M', we can use the distance formula:
d(M,M')=√((a+c)/2 - (a+c-8)/2)²+((b+d)/2-(b+d+6)/2)²
=√4²+(-3)²
=√16+9
=5 units
Hence, the distance between M and M' is 5 units.
To learn more on Distance click:
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PLEASEE HELP ME PLEASE IT IS 30 POINTSS
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
round off 0.02435 to three significant and add to 0.00732
Answer:
0.03172
Step-by-step explanation:
Leading zeros (Zero before non-zero numbers) are not significant
0.02435 have 4 sigfig, round off to 0.0244, 3 sigfig
0.00732+0.0244 =0.03172
Find the equation that passes through points A and B
Answer:
Step-by-step explanation:
A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2
Equation of a line AB is
((y-y1) = m(x-x1)
y - 7 = 2(x-1)
y - 7 = 2x-2
y = 2x + 5
Answer:
y = 2x +5
Step-by-step explanation:
Equation of a line
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The image provides two points A(1,7) and B(-3,-1), thus the slope is:
[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]
[tex]\displaystyle m=\frac{-8}{-4}[/tex]
m = 2
Now we apply the point-slope form taking the point (1,7):
y - 7 = 2 ( x - 1 )
Operating:
y - 7 = 2x - 2
Adding 7:
y = 2x +5
Which expression is equivalent to 4(x+12)
Answer:
4(x + 12) = 4x + 48
Step-by-step explanation:
Answer:
2(2x + 6)
Step-by-step explanation:
G
E
D
B
C
In the figure, angle I measures 56° and angle A measures 38°
The measurement of angle B is
The measurement of angle C is
The measurement of angle Fis
Answer: The measurement of angle B is 34. The measurement of angle C is 108. The measurement of angle F is 72.
Step-by-step explanation:
Find the measure of each numbered angle.?
please show work and I'll give bonus points I rlly need the answers
Answer:
8. 95°
9. 85°
10. 49°
11. 53°
Step-by-step explanation:
8) m + 28° + 57° = 180°
m = 180°–28°–57°
m = 95°
9) m∆4 + m∆5 = 180°
95° + m∆5=180°
m∆5 = 180°–95°
m∆5 = 85°
10) 180°–36°–95°=49°
11) 180°–42°–85°=53°
B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]
The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.
What is a triangle?A closed shape with both inner and exterior angles, a triangular is created by three lines. the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side.
The value of AE is given as 21.
From the diagram that is given, it is indicated that according to the midpoint theorem
BD║AE
Also, BD= 1/2 ×AE
BD = 21/2
BD = 10.5 cm.
Therefore, option D is the correct option.
Learn more about triangles, Here:
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The question is incomplete, the complete question will be :
A. 42
B. 21
C. 11.5
D. 10.5
Please help me with this
Answer:
Step-by-step explanation:
The question is ambiguous. Is the longer side the hypotenuse of the length of the other leg making up the right angle.
The missing side is the hypotenuse
x + 2x + sqrt(x^2 + (2x)^2 ) = 28
3x + sqrt(x^2 + (2x)^2 ) = 28
sqrt(x^2 + (2x)^2 ) = 28 - 3x Square both sides
x^2 + 4x^2 = 784 - 168x + 9x^2
5x^2 = 784 - 168x + 9x^2
0 = 784 - 168x + 4x^2 Use the quadratic formula to solve this. It does not factor.
x = 5.34
2x = 10.68
hypotenuse = sqrt (5*5.35^2)
hypotenuse = 5.35*sqrt(5)
hypotenuse = 11.96
=============
Shortest leg = 5.35
Other leg = 10.7
Hypotenuse = 11.96
Total = 28.01
So the answer is mathematically correct for the hypotenuse being the unknown.
#################################
If the leg is unknown, then I'll set up the equation and you can solve it.
x + sqrt(4x^2 - x^2) + 2x = 28 subtract x from both sides
sqrt(4x^2 - x^2) + 3x = 28 Square both sides
sqrt(3x^2) = 28 - 3x
3x^2 = 784 - 168 + 9x^2
6x^2 - 168x + 784 = 0
x = 5.91
You can carry on from here.
Answer:
Step-by-step explanation:
Let's call the sides a,b,c
P=28 so
a+b+c=28
twice as long means a = 2b substitute in equation above
2b+b+c=28
3b+c=28
but we also know is a right triangle so thhe Pythagorean Theorem can be apply yet we shoud figure what side is the hypothenuse
Since a=2b, b-cannot be the hypothenuse because is not the biger side so is eithher a or c
a² = b²+c² or c² = b²+a² substitute a² for (2b)²=4b²
4b² = b²+c² or c² = b²+ 4b²
3b² = c² or c² = 5b²
yet 3b+c=28, c=28-3b, so c²= 28²- 168b+9b² =9b²-168b+784
9b²-168b+784=3b² or 9b²-168b+784=5b²
6b²-168b+784=0 or 4b²-168b+784=0
and probably solve using quadratic equations
Point M is the midpoint of A and B
What are the coordinates of point B?
Answer:
(6, 7) is where B is.
Step-by-step explanation:
If you go down 1/2 and right 5, you get to M. If you go another 1/2 down and right 5, you will get to B.
This is because M is the midpoint, or center point, of line AB. That means there is equal distance going from A to M and equal distance going from B to M.
#teamtrees #WAP (Water And Plant)
–5x+2 - 4; Prove: x = 6
Answer:
Step-by-step explanation:
-5x+2-4 if x =6
-5(6)+2-4
-30+2-4
-30-2
-32
Kevin wants to buy 2.5 pounds of chicken at $6.49 per pound. How
much will he pay?
Answer:
16.225
just times 2.5 times 6.49
need help on this too
Answer:
I am pretty sure it’s either the first one or the last one
Step-by-step explanation: