Answer: (7, 0)
Step-by-step explanation:
We have the system of equations:
9*x - y = 63
x = y + 7
We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:
9*x - y = 63
9*(y + 7) - y = 63
Now we have an equation that only depends on one variable, so we can solve it:
9*y + 63 - y = 63
8*y + 63 = 63
8*y = 63 - 63 = 0
y = 0/8 = 0.
Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:
x = y + 7 = 0 + 7 = 7
Then the point that is a solution for the system of equations is (7, 0)
x + x2 - 5x -5 = 0
state the possible rational zeros and find all the zeros of the polynomial
Answer:
The zeros of the polynomial are -1 and 5
Step-by-step explanation:
Quadratic Equation Solving
The standard representation of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have the following equation to solve:
[tex]x+x^2-5x-5=0[/tex]
Before attempting to solve it, we must simplify the equation.
Collecting like terms and reordering:
[tex]x^2-4x-5=0[/tex]
Here: a=1, b=-4, c=-5
The discriminant of this quadratic equation is:
[tex]d=b^2-4ac[/tex]
[tex]d=(-4)^2-4(1)(-5)=16+20=36[/tex]
Given d is positive, the equation has two roots, and since d is a perfect square, both roots are rational.
Applying the formula:
[tex]\displaystyle x=\frac{4\pm \sqrt{36}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{4\pm 6}{2}[/tex]
Dividing by 2:
[tex]x=2\pm 3[/tex]
Separating both roots:
x = 2 + 3 = 5
x = 2 - 3 = -1
The zeros of the polynomial are -1 and 5
In AHIJ, m_H=(8x-6)°, m_1=(2x-4)', and m2)=(x-8)". Find mcH.
9514 1404 393
Answer:
m∠H = 138°
Step-by-step explanation:
Perhaps you have ΔHIJ and want the measure of ∠H.
∠H +∠I +∠J = 180°
(8x-6) +(2x-4) +(x-8) = 180
11x -18 = 180 . . . . . . collect terms
11x = 198 . . . . . . . . . add 18
x = 18 . . . . . . . . . . . divide by 11
Then angle H is ...
m∠H = (8(18) -6)°
m∠H = 138°
6t - 9 + t +13. help please
Answer:
7t + 4
Step-by-step explanation:
hope this helps (✿◕‿◕✿)
ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′.
Select the option that completes the statement:
The triangles' corresponding angles are ________, and their corresponding sides are ________; therefore, the triangles are ________.
A. congruent; similar; proportional
B. congruent; proportional; similar
C. proportional; congruent; similar
D. proportional; similar; congruent
The statement is that when ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′, their corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar. The correct answer is option B
In order to prove the given statement, we will need to know that dilation is a transformation in which a figure is stretched in a particular direction by a certain factor (scale factor) while keeping its shape constant. We use this transformation to create similar figures.
When a figure is dilated, all of its corresponding sides are stretched, and the angles remain the same.The corresponding angles are the angles that have the same location in the two similar figures. The corresponding sides are the sides that have the same position in the two similar figures.
Since the triangles are similar, we can say that the corresponding sides of the triangles are proportional. On the other hand, the corresponding angles are congruent.
The correct option is B, which states that the triangles' corresponding angles are congruent, their corresponding sides are proportional, and therefore the triangles are similar.
For more questions on scale factor
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PLEASE PLEASE HELP I WILL GIVE BRAINALSIT
Answer:
Veggie soup
Step-by-step explanation:
Plz Mark as brainliest!!!
A proportional relationship is shown in the table below:
xxx 000 333 666 999 121212
yyy 000 0.50.50, point, 5 1.01.01, point, 0 1.51.51, point, 5 2.02.02, point, 0
What is the slope of the line that represents this relationship?
\qquad
Graph the line that represents this relationship.
Answer:
1/6
Step-by-step explanation:
1,6
Answer:
1,6
(0,0); (6,1)
Step-by-step explanation:
help mw with thes two plz owo
Answer:
for the first one y would be zero
for the second one c would be -13/3
Write the value of pi correct to
six decimal places.
Please answer quick
Answer:
3.141592
Step-by-step explanation:
The Obstacle Fitness Course is scored by awarding 12 points for every
station that is passed and deducting 8 points for every station that is failed.
Stations that are not tried do not affect the score. Monica passed 7
stations and failed 4 stations. Julie passed 9 stations and failed 7 stations.
Who got a higher score?
Answer:
They had the same score
Step-by-step explanation:
Monica (12x7)+(-8x4)= 52
Julie (12x9)+(-8x7)= 52
The polygons are similar. Find the value of x and y.
Answer:
x = 9, y = 27
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{x-1}{6}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )
12(x - 1) = 96 ( divide both sides by 12 )
x - 1 = 8 ( add 1 to both sides )
x = 9
Also
[tex]\frac{y+1}{21}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )
12(y + 1) = 336 ( divide both sides by 12 )
y + 1 = 28 ( subtract 1 from both sides )
y = 27
help please i would give 20 points if you do
Answer:
6 1/10
Step-by-step explanation:
Answer
6 1/10
Step-by-step explanation:
2 3/5+3 1/2
2+3=5
3/5=6/10 find the common denominator 1/2=5/10
6/10+5/10=11/10
11/10=1 1/10
5+1 1/10= 6 1/10
3) Find the perimeter of the following
polygon.
-4 yd.
9 yd.
P =
Answer:
p = 42yds.
Step-by-step explanation:
The single dashes indicate that each of those lines are equivalent
The double dashed lines are equal to each other
Because there are 6 single dashed lines that are all equal to 4 yards, and 2 double dashed lines that are both equal to 9 yards, your equation will look like this:
(4 x 6)+(9 x 2)=p
now just solve this using the order of operations
4 x 6 = 24 and 9 x 2 = 18 and 18 + 24 = 42 so p = 42yds.
^^^^
please help :)))
2x-1.1/4+x/3=2
2x-1/4+x/3=2
2x-1/4+x/3+1/4=2+1/4
2x+x/3=9/4
3(2x+x/3)=3.94
7x=27/4
7x/7=27/4/7
x=27/8
PLEASE MARK ME AS BRAINLIEST IF U LIKE MY ANSWER AND SORRY FOR GIVING THE ANSWER LATE BECAUSE I'VE GIVEN U ANSWER FROM MY LAPTOP PLEASE TELL THAT IT'S CORRECT OR NOTName the property shown 6+8=8+6
Answer:
The property that is shown here is communitive property.
Step-by-step explanation:
It is that because the number are switched but you can still get the same answers.
Express 10500 in terms of its prime factors
Step-by-step explanation:
[tex]10500 = 3 \times 5 \times 5 \times 5 \times 7 \times 2 \times 2 \\ \\ 10500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \times 7 \\ 10500 = {2}^{2} \times 3 \times {5}^{3} \times 7[/tex]
simplify
21-(x+7)
how do i solve it.
The actual packing volume in cubic feet, p(s), within a packing crate depends on the length of the side of the base, s, in feet, and of the square-based supports by spanning placed at each corner. This relationship is represented by the table.
If the bases of the supports never have dimensions greater than feet by feet, which statements describe the function represented in the table and the given information? Select two options.
The function is cubic.
D = {R} and R = {R}
R = {15.625 ≤ p(s) ≤ 91.125}
The function has constant second differences.
Answer:
B and D sorry
Step-by-step explanation:
Got it right on my test :)
Answer:
2 and 4
Step-by-step explanation:
1) What is the slope of the line in the graph show below?
A. -2
B. -1
C. 1
D.2
2) Find the slope of a line that passes through (-2,-3) and (1,1).
A. 1/3
B. 1
C. 2
D. 4/3
1) Answer is D which is 2
2) Answer is D which is 4/3
I am 100% Positive it is right. Brainliest would be appreciated!
Write the slope intercept form of the equation of the line through the given point plz
Answer:
y = 5/2x + 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 5/2
Point (-4, -5)
Step 2: Find y-intercept b
Define: y = 5/2x + bSubstitute in point: -5 = 5/2(-4) + bMultiply: -5 = -10 + bIsolate b: 5 = bRewrite: b = 5Step 3: Write linear equation
y = 5/2x + 5
I need to find x can some one show me how to do It
Answer:
x=4
Step-by-step explanation:
Because 3x4 = 12, and 12 is the number on the other side of the triangle because the sides are equal.
Hope this helps! :)
Question 1 of 8
Which of the following math statements contain variable(s)? Check all that
apply.
O A. 11 - x= 9
B. 4 + 6 = 10
O C. 6 - 6 = 0
D. ? + 1 = 5
What is C
Solve for C
Answer:
Step-by-step explanation:
68 degree F to C.
9/5c+32=68
C=20
Answer:
The answer is C=20
because 9/5c+32=68
Direction:Determine between what two integers the following square root of a number is. Select the letter of your choice below.
A. 3 and 4. G. 8 and 9
B. 4 and 5. H. 9 and 10
C. 5 and 6. I. 10 and 11
D. 6 and 7. J. 11 and 12
E. 7 and 8. K. 12 and 13
_1. √11. _6.√109
_2.√35. _7.√124
_3.√41. _8.√131
_4.√67. _9.√146
_5.√89 _10.√155
GIVE ME SOME ANSWER JUST FOR MY MODULE
Answer:
following square root of a number is. Select the letter of your choice below.
A. 3 and 4. G. 8 and 9
B. 4 and 5. H. 9 and 10
C. 5 and 6. I. 10 and 11
D. 6 and 7. J. 11 and 12
E. 7 and 8. K. 12 and 13
_1. √11. _6.√109
_2.√35. _7.√124
_3.√41. _8.√131
_4.√67. _9.√146
_5.√89 _10.√155
GIVE ME SOME ANSWER JUST FOR MY MO
help now give me like yuuuuh
Answer:
Step-by-step explanation:
D
Simplify -3√72
A
-18√6
B
-6√6
C
-18√2
D
6√2
Answer:
C. -18√2
Step-by-step explanation:
Find the value of x in the triangle shown below.
16
12
Answer:
20
Step-by-step explanation:
What is the measure of ∠EGF?
°
What is the measure of ∠CGF?
Answer:
measure of <EGF =65°
measure of <CGF=115°
Step-by-step explanation:
180°-50°=130°
130°:2=65°
180°-65°=115°
Answer:
Angle EGF is 65 degrees
Angle CGF if 115 degrees
Check your answers by clicking all of the items
you included in your explanation.
A.A large portion of an organism's mass is in
the form of water.
B.Water contains two hydrogen atoms and one
oxygen atom.
C.The mass of oxygen is sixteen times that of
hydrogen.
Answer:
A and C
Step-by-step explanation:
Please help quickly I will give brainliest to the first correct response!
Jackie took $24 to the movie theater with her and her friends. The price of each bag of popcorn is $4 and the price of each candy bar is $3.
Let the x axis represent the number of candy bars and the y axis represent the number of bags of popcorn.
What is the x intercept and what does it mean?
What is the y intercept and what does it mean?
Answer:
x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.
y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars.
Step-by-step explanation:
Answer:
When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.
Step-by-step explanation:
The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.
Which of the following tables of equivalent ratios is completed correctly? Choose all that apply. Show your work.
The first picture is A
The second one is B
And the third one is C