Answer:
Part A
Solve by substitution.
Given equations:
y = 2x − 5y = -6x + 3⇒ 2x - 5 = -6x + 3
⇒ 2x - 5 + 5 = -6x + 3 + 5
⇒ 2x = -6x + 8
⇒ 2x + 6x = -6x + 8 + 6x
⇒ 8x = 8
⇒ 8x ÷ 8 = 8 ÷ 8
⇒ x = 1
To find y, substitute the found value of x into one of the equations:
⇒ y = 2(1) - 5
⇒ y = 2 - 5
⇒ y = -3
Therefore, the solution is (1, -3)
Part B
Substituting x = 1 into the equations:
y = 2x − 5
⇒ y = 2(1) − 5
⇒ y = 2 − 5
⇒ y = -3
y = -6x + 3
⇒ y = -6(1) + 3
⇒ y = -6 + 3
⇒ y = -3
When x = 1, both equations return a y-value of -3. Therefore, the solution is verified.
Part C
If the two equations are graphed, the solution will be the point of intersection.
WILL GIVE BRAINLIEST 25 POINTS
Congruent?
If so, what property?
Answer:
Yes, by ASA congruence.
Step-by-step explanation:
Solving :
∠DAB = ∠BCD (indicated in diagram)∠ADB = ∠DBC (indicated in diagram)BD = BD (common side)ΔABD ≅ ΔCDBHence, as 2 angles and a side of the triangles are equal, we can say they are congruent by ASA congruence.
[tex]\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's check if the two triangles are } [/tex][tex] \textbf{congruent} [/tex] ~
[tex] \large\textsf{Given information } [/tex]:
[tex] \textsf{Two angles of a triangle is equal to corresponding} [/tex] [tex] \textsf{two angles of another triangle, and they} [/tex][tex] \textsf{have one side in common (should be equal} [/tex][tex] \textsf{for both) } [/tex]
[tex] \textsf{So, after analyzing this information, we can } [/tex][tex] \textsf{conclude that the two triangles are congruent by} [/tex][tex] \textsf{AAS congruency criteria.} [/tex]
[tex] \texttt{[ since two angles are equal and one} [/tex][tex] \texttt{non included side is common/equal ]} [/tex]
I didn’t understand
Please I need your help
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=\frac{2}{3}\\ y = 6 \end{cases}\implies 6=k\cfrac{2}{3} \\\\\\ 18=2k\implies \cfrac{18}{2}=k\implies 9=k~\hfill \boxed{y=9x} \\\\\\ when~x=10\frac{1}{3}\textit{ what is "y"?}\qquad y=9\left( 10\frac{1}{3} \right)\implies y=9\cdot \cfrac{31}{3}\implies y=93[/tex]
use the information provided to write the equation of each circle. center: (3, -15) radius: 3
Equation of circle in general
(x-h)²+(y-k)²=r²For centre at (h,k)
So our equation is
(x-3)²+(y+15)²=3²(x-3)²+(y+15)²=9helppppppppppppppppppppp
Answer:
10 duh
Step-by-step explanation:
If you vertically stretch the the exponential function f(x)=2x by a factor of 4, what is the equation of the new function?
Answer:
The answer would be fx=4(2x)
Step-by-step explanation:
have a good day!!
Please help I will give you so much points
Answer:
∠[tex]DEC[/tex]
Step-by-step explanation:
vertical angles are opposite angles that are made by 2 intersecting lines
Avani misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 4?
Answer:
She had a total of 80 throws.
Step-by-step explanation:
4x20 (20x5%=100%) = 80, so she had 80 throws.
3. x² +(y + 2)2 = 64
Center:
Radius:
Answer:
Center: (0, -2)
radius: 8
Explanation:
Given equation: x² + (y + 2)² = 64
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) are points of center. r denotes radius
So rewrite the equation in circle formula:
x² +(y + 2)² = 64
(x- 0)² +(y + 2)² = 8²
Identify followings:
h = 0, k = -2, radius = 8
14. Which is a true statement if Line XY is tangent to Circle P?
a. ab=bc
b. a^2 = bc
c. a = bc
d. a^2 = 5(b + c)
Answer:
d. [tex]a^2 =b(b+c)[/tex]
Step-by-step explanation:
Option d is the correct answer.
How many helmets must the company make and sell to break even? helmets
Answer: 600
Step-by-step explanation: i took test and got it right
Answer: 600
Step-by-step explanation:
the volume of a cone is 2307.9 mm^3. The height is 5 mm. What is the radius?
Answer:
21 mm
Step-by-step explanation:
Given,
Volume of cone ( V ) = 2307.9 mm³
Height ( h ) = 5 mm
To find : Radius ( r )
Formula : -
Volume of cone = πh/3 r²
Note : -
The value of π is 3.14
Volume of cone = πh/3 r²
2307.9 mm³ = 3.14 x 5/3 x r²
2307.9 = 5.23 x r²
Divide 5.23 on both sides,
r² = 2307.9 / 5.23
r² = 441
r² = 21 x 21
r² = 21²
r = 21 mm
On a scale drawing, 9 inches
represents 11 miles. How many
inches represent 55 miles?
Answer: you will get 45
Step-by-step explanation:
If you do 9x5=45 and 11x5=55
So the answer would be 45
NEED TO KNOW HOW TO GET ASNWER
The prep cook needs to make 115 sandwiches. Each sandwich contains 3 ounces of chicken salad. The chicken salad comes in a 32-ounce container. How many containers need to be purchased?
Answer:
you would need 11 containers but you would have some left over.
Step-by-step explanation:
Solve: Eleven coins (dimes and nickels) are worth 60 cents. How many
dimes are there? _____
Solve: Eleven coins (dimes and quarters) are worth 170 cents. How many
dimes are there? _____
Answer:
first solve is 10 nickels and 1 dime
second solve is 4 quarters and 7 dimes
Step-by-step explanation:
see attached picture of both math details
If cos43=p, determine.without the use of a calculator,the value of each of the following in terms of p
We need to calculate the value of cos(43) to determine the value of p
How to evaluate the expression?The equation is given as:
cos43 = p
Rewrite properly as:
cos(43) = p
Rewrite the equation as:
p = cos(43)
The above means that we simply calculate the value of cos(43) to determine the value of p
Read more about cosine at:
https://brainly.com/question/17075439
#SPJ1
5 points
11 cm
I literally dont know what to do
A committee must be formed with 2 teachers and 4 students. If there are 9 teachers
to choose from, and 9 students, how many different ways could the committee be
made?
The total number of different committees that can be made is:
C = 4,536
In how many different ways could the committee be made?If we have a set of N elements, the total number of different subsets of K elements that can be made out of these N is:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
So, the 2 teachers (out of 9) can be selected in:
[tex]C(9, 2) = \frac{9!}{7!*2!} = \frac{9*8}{2} = 36[/tex]
36 different ways.
The 4 students (out of 9) can be selected in:
[tex]C(9, 4) = \frac{9!}{5!*4!} = \frac{9*8*7*6}{4*3*2} = 126[/tex]
126 different ways.
The committee is formed by these two groups, so the total number of different committees that can be made is:
C = 36*126 = 4,536
If you want to learn more about combinations
https://brainly.com/question/11732255
#SPJ1
a number minus 4 is less than thirteen
This rectangle has a perimeter of 36 units. Create a table that shows the length and width with at least 3 different rectangles that also have a Create a table that shows the length and width with at least 3 different rectangles that also have a perimeters of 36 units. Describe the relationship between the columns of your table.
For the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units
How to create the table?The given parameter is:
Perimeter = 36 units
The perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
So, we have;
36 = 2 * (Length + Width)
Divide both sides by 2
Length + Width = 18
This means that for the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units
So, the possible table of values is:
Length Width
5 13
8 10
9 9
Read more about perimeter at:
https://brainly.com/question/24571594
#SPJ1
I need help please I’m confused
Answer:
the answer is bottom left trust
Answer:
bottom left is the answer
Step-by-step explanation:
Factor the expression completely
9z+15
Answer:
3(3z + 5)
Step-by-step explanation:
You have to factor out 3 from 9z+15 :)
Please mark brainliest
How do I solve this with a fraction?
Answer:
75°
Step-by-step explanation:
x° and (x/5)° are complementary angles.-> x° + (x/5)° = 90°-> (6x/5)° = 90°-> x° = 90° * 5/6-> x° = 75°Answer:
x = 90
Step-by-step explanation:
[tex]m\angle 1+m\angle 2=90[/tex]
[tex]\Longleftrightarrow x+\frac{x}{5} =90[/tex]
[tex]\Longleftrightarrow \frac{6x}{5} =90[/tex]
[tex]\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75[/tex]
Laticia randomly selected 25% of the seventh grade students in her school and asked them what their favorite season was. Of the students surveyed, 51 chose summer as their favorite season. Based on this data, approximately how many seventh grade students in the whole school?
Answer:
1000
Step-by-step explanation:
3x+4=25 what does x stand for
Answer:
X=7
Step-by-step explanation:
3x+4=25 (Subtract 4 on both sides)
3x=21 (Divide by 3 on both sides)
x=7
Answer: x is a variable and the number the variable is standing for is 7
Step-by-step explanation:
3x7=21 .. 21+4=25
Six people want to share five boxes of raisins. How many boxes of raisins will each person get?
5/6 or 0.83 boxes of raisins
In the figure shown, which is the value of y?
(3x)
(x)⁰
(2y)°
(2y)°
Answer: y = (x/2)°
Step-by-step explanation:
The two angles are because they are opposite angles.
Mary has 6 blouses, 5 skirts and 4 belts. How many outfits can she make, consisting of a blouse, a skirt and a belt?
Answer:
120
Step-by-step explanation:
Use the counting principle.
6 × 5 × 4 = 120
Answer: 120
whats the distance between the points (2, 7) and (2, 15)
Answer:
The distance between the points (2, 7) and (2, 15) is 8.
Step-by-step explanation:
What is the Distance between Two Points?
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
How to Solve:
Formula:[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]Putting Values:
[tex]=\sqrt{(2-2)^2+(15-7)^2}[/tex]
[tex]=\sqrt{(0)^2+(8)^2}[/tex]
[tex]=\sqrt{0+64}[/tex]
[tex]=\sqrt{64}[/tex]
[tex]=8[/tex]
NEED THIS TOO GRADUATE PLS HELP
5x - 3y = 16
4x - 2y = 14
The system when solved is
(-3, -13)
(-5, 17)
(5, -3)
(5, 3)
What is 69.1% as a decimal?
Answer:
0.691
Step-by-step explanation:
Since a percentage means out of 100, divide the percentage by 100
69.1÷100= 0.691
0.691
100% = 1.00 helps me remember where the decimal goes.
