find the value of x and y, (x+y, 2x-y)= (13, 2)
Answer:
Step-by-step explanation:
comparing corresponding elements
x + y = 13
2x - y = 2
Now use substitution method.
x + y = 13
x = 13 - y equation(i)
substitute the value of x
2x - y = 2
2(13 - y) - y = 2
26 - 2y - y = 2
-3y = 2 - 26
y = -24/-3
y = 8
substitute the value of y in eqaution(i)
x = 13 - y
x = 13 - 8
x = 5
therefore , x = 5 and y = 8
To check :
x + y = 13
when we add x and y then must come 13
5 + 8 = 13
13 = 13
2x - y = 13
substitute the value of x and y . REsult must come 2
2*5 - 8 = 2
10 - 8 = 2
2 = 2
10 - 8 = 2
Answer:
x = 5, y = 8
Step-by-step explanation:
Another way to write (x+y, 2x-y)= (13, 2) is
x + y = 13 -- (1)
2x - y = 2 -- (2)
using the elimilation method,
Rewriting (1), y = 13 - x --(1)'
Replacing (1)' into (2),
2x - ( 13 - x) = 2
2x - 13 + x = 2
3x = 15
x = 5 -- (3)
Replacing (3) into (1),
5 + y = 13
y = 8 -- (4)
Accorindg to (3) and (4),
x = 5, y = 8
If this helps you, please give brainliest!
A question abouts angles
Answer:
x = 16
Step-by-step explanation:
These are corresponding angles meaning they are equal to each other.
4x + 30 = 94
4x = 64
x = 16
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4.
Answer:
[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]
Step-by-step explanation:
We want to write the equation of a line that passes through the point (3, -1) and is perpendicular to the line:
[tex]y=6x-4[/tex]
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
The slope of the given equation is 6.
So, the slope of our perpendicular line is the negative reciprocal of 6, which is -1/6.
Next, we are given that it passes through the point (3, -1). Since we are given a point and know the slope, we can use the point-slope form. Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
We will substitute -1/6 for m and (3, -1) for (x₁, y₁). Hence:
[tex]\displaystyle y-(-1)=-\frac{1}{6}(x-(3))[/tex]
Simplify:
[tex]\displaystyle y+1=-\frac{1}{6}(x-3)[/tex]
Our answer is valid as it as, but we can simplify this into slope-intercept form. Distribute:
[tex]\displaystyle y+1=-\frac{1}{6}x+\frac{1}{2}[/tex]
And subtract one from both sides. Therefore, our equation is:
[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]
Find the equation of a vertical line passing through the point B(2,-1)
Answer:
x = 2
Step-by-step explanation:
In a vertical line, all x-coordinates are the same.
x = 2
Answer:
x =2
Step-by-step explanation:
A vertical line means the x value remains constant
The x value is 2
x =2
Can someone please help me?the question is in the picture. Thank you
Answer:
It would be 9π
Step-by-step explanation:
(x-1)²π
(x-1)(2x-4)
mathematics can uh solve this please
Answer:
[tex]a^3 + 1 = 0[/tex]
Step-by-step explanation:
We start with the equation:
[tex]a + \frac{1}{a} = 1[/tex]
We want to find the value of:
[tex]a^3 + 1 =[/tex]
We can start with our previous equation and multiply both sides by a:
[tex](a + \frac{1}{a})*a = 1*a\\a^2 + 1 = a[/tex]
Now we can rewrite our initial expression as:
[tex]a = 1 - \frac{1}{a}[/tex]
Replacing that in the right side, we get:
[tex]a^2 + 1 = a = 1 - \frac{1}{a}[/tex]
Now again, let's multiply both sides by a
[tex]a*(a^2 + 1) = a*(1 - \frac{1}{a} )\\a^3 + a = a - a/a\\a^3 + a = a - 1\\a^3 = -1\\a^3 + 1 = 0[/tex]
So we can conclude that:
[tex]a^3 + 1 = 0[/tex]
determine the equation of the circle graphed below
Answer:
The equation would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.
Step-by-step explanation:
Firstly, we need to find the radius of the circle. In this case, through the Pythagorean theorem, we can find it to be √(9-4)^2 + (4-3)^2 = √25 + 1 = √26.
Therefore, the equation of the circle would be (x – h)^2+ (y – k)^2 = r^2, where h and k are the x and y-coordinates of the center of the circle respectively, and r is the radius. Hence, the equation of this circle would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.
Hope this helped!
Answer:
(x - 3)² + (y - 4)² = 26Step-by-step explanation:
Equation in standard form:
(x - h)² + (y - k)² = r²,where (h, k) is the center and r- radius
On the graph we have (h, k) = (3, 4)
Find the r² using the distance formula:
r² = ( 4 - 3)² + (9 - 4)² = 1² + 5² = 26The equation is:
(x - 3)² + (y - 4)² = 26Elsa uses exactly 60 cubes of ice to build a rectangular ice prism. Each cube has side lengths of 1 unit. Enter the dimensions of the rectangular ice prism below assuming that none of the sides can have a length of 10 units. Your answer should be typed like this with the numbers going from smallest to largest: 1, 2, 3 *
Answer:
2, 5, 6
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where all variables to the right are dimensions of the prism.
Therefore, we're looking for three numbers that multiply to be 60.
Since the question stipulates that no side length may be 10, we have:
[tex]2\cdot 5\cdot 6=60[/tex]
What is the volume of a triangular pyramid if the base area is 125 square feet and the height is 15 feet
Answer:
625 cubic feet
Step-by-step explanation:
Given data
Base area= 125 square feet
Height = 15feet
The expression for the volume of a pyramid is given as
V= a^2*h/3
but a^2= 125 square feet
V= 125*15/3
V= 1875/3
V=625 cubic feet
SOMEONE HELP FAST PLEASE.
Answer:
f(0) = g(0)
Step-by-step explanation:
The functions intersect at x =0, which means they have the same y value at x=0
f(0) = g(0)
Nathan has a $75 budget to rent a car for a day. The daily rental charge is $29.50 and then he will also have to pay $0.55 per mile. How many miles can he drive the car without exceeding his budget? (All partial miles are counted as full miles )
A- 25 miles
B- 83 miles
C- 82 miles
D- 136 miles
Answer:
82
Step-by-step explanation:
82x.55=45.10
45.10+29.50=74.60
Solve: x/2 = -10
the / means divided
Answer:
x=-20
Step-by-step explanation:
x=-10•2
• means multipled
please help with 3 , 4 & 5 i mark Brian list
Answer:
see belowStep-by-step explanation:
Question-2:the square of x-5 given by
[tex] \displaystyle (x - 5) ^{2} [/tex]
use (a-b)²=a²-2ab+b² to simplify so we obtain:
[tex] \displaystyle {x}^{2} - 10x + 25[/tex]
hence
our answer is 2)
Question-3:to find:
[tex]f(x) - g(x)[/tex]
substitute the value of f(x) and g(x):
[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - ( {2x}^{2} - 4x + 4)[/tex]
remove parentheses and change its sign:
[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - {2x}^{2} + 4x - 4[/tex]
combine like terms:
[tex] \rm \displaystyle{6x}^{2} + 12x - 5 - {2x}^{2} - 4[/tex]
collect like terms:
[tex] \rm \displaystyle{4x}^{2} + 12x -9[/tex]
hence,
our answer is 3)
Question-4:given Polynomial:
[tex] \displaystyle {5x}^{3} + 2 {x}^{2} + 7[/tex]
substitute the value of x:
[tex] \displaystyle {5.(10}^{3}) + 2 ({10}^{2}) + 7[/tex]
simplify squares:
[tex] \displaystyle 5(1000) + 2 (100) + 7[/tex]
simplify multiplication:
[tex] \displaystyle 5000 + 2 00 + 7[/tex]
simplify addition:
[tex] \displaystyle 5207 [/tex]
hence our answer is 1)
Question-5:given:
12x³y⁶,8x⁴y,20x²y⁵notice that,
every time there's a GCF of 4x²y
hence our answer is 4)
Where would the last point need to be in order to finish graphing a square using the points (1, 3), (5, 3), and (5, 7)?
A. (1, 5)
B.(5, 1)
C.(3, 7)
D.(1, 7)
Can someone explain if this is correct. I’m unsure!
Answer:
Step-by-step explanation:
Need this in now like ASAP.
Fill the blanks in with yes or no
Answer-
a. no
b. yes
c. no
Help geometry ……………..
Answer:
Angle F
Step-by-step explanation:
=====================================================
Explanation:
We see that angle A = angle E as shown by the arc marking. The tickmark says that side AB is the same length as side EF.
In the letter sequences "AB" and "EF", erase the first letters A and E to be left with B and F. This is one way to show how angle B pairs with angle F, and that is enough to show the two angles are congruent.
what is the average rate of change for the quadratic function for the interval from x = 3 to = 5?
Answer:
8x.
Step-by-step explanation:
coordinates: (3,10) (5,26)
use slope formula (y2 - y1/x2-x1)
26-10/5-3
16/2
= 8
Simplify...................
Answer:
(a+b)/2(a-b)
Step-by-step explanation:
Explained in the paper
Goodluck
Find the diameter, given the circumference of a circle is 40.035 cm.
Answer:
12.75
Step-by-step explanation:
c = π x d
40.035= 3.14 x d
40.035/3.14 = 12.75
Pat was shopping and found a
jacket with the original price of
$120 on sale for $12. What was
the percent decrease in the
cost? %
Hint: Change over original
Answer:
91.7%
hope I helped
In the rectangle below, EI = 2x+6, FI= 5x-6, and m ZIFE = 490.
Find EG and m LIGF.
E
F
Guy
MZIG
H
G
Answer:
gyufigaruofhasidjfdskcm
Step-by-step explanation:
which inequality best represents the graph?
Answer:
A y ≥ (1/2)x + 5
Step-by-step explanation:
The shaded area is above the solid line
the correct symbol is ≥
Somebody really smart!!!?
Answer:Its the last one to the left up
Step-by-step explanation:
Answer:
78.5 square feet
option b
Step-by-step explanation:
area = pi*r^2
a = 3.14*5^2
a = 3.14*25
a = 78.5
I need help quick it's urgent!
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
start by squaring both sides:
[tex](\sqrt{-8+3x} )^2=(2)^2[/tex]
squaring a square root cancels it out:
[tex]-8+3x = 4[/tex]
solve for x by first adding 8 to both sides:
[tex]3x=12[/tex]
then divide both sides by 3:
[tex]x=4\\[/tex]
Here are the equations of two different graphs: y = x-7 and y = 3x - 7 Are the gradients of the graphs the same or different? Explain how you know.
help please
Answer:
this two graph is not same because they have different slopes for this they are not same
A shadow of a gurl standing in the sun is 110 cm long whereas the shadow of a 30cm ruler is 20 cm long how tall is Sierra?
Answer:
165 cm
Step-by-step explanation:
We solve using the rule
Shadow of ruler/Length of ruler = Shadow of the girl /Length of the girl
Shadow of ruler = 20cm
Length of ruler = 30cm
Shadow of the girl = 110cm
Length of the girl = x
Hence:
20/30 = 110/x
Cross Multiply
20x = 30 × 110
x = 30 × 110/20
x = 165 cm
Therefore, Sierra(the girl) is 165cm tall
Which of the following is/are equal to 3.4?i)314ii)5115iii)3410
Your math test scores have been: 73, 86, 91,88 Just from these scores, your current grade is 84.5 You just scored a 67 on the last test. What is your new grade?
Answer:
[tex]81[/tex]
Step-by-step explanation:
The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].
Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.
Please help and show clear instructions will give brainliest !
Answer:
Answer is 3 because
Step-by-step explanation:
a=2
20*2= 40
40-1 = 39
b = 13
so 39/13 = 3