The solution for the system of equations is (1, 4).
The graph is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Two equations:
y = 3x + 1
y = -x + 5
The point of intersection.
3x + 1 = -x + 5
3x + x = 5 - 1
4x = 4
x = 1
And,
y = 3x + 1 = 3 + 1 = 4
or
y = -x + 5 = -1 + 5 = 4
Now,
The graph is given below.
Thus,
The solution is (1, 4).
The graph is given below.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ6
Solve 4(3x+3)=15x+7-3x+5
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
4(3x + 3) = 15x + 7 - 3x + 5
Step 2: Solve for x
Distribute 4: 12x + 12 = 15x + 7 - 3x + 5Combine like terms: 12x + 12 = 12x + 12Subtract 12 on both sides: 12x = 12xDivide both sides by 12: x = xHere, we can see that x would be infinite amount of solutions. We can plug in any number x and it would render the equation true.
Use the graph below to find the slope of the line that goes through the points
|(1, 2) and (6,6).
Answer:
4/5
Step-by-step explanation:
m=y2-y1/x2-x1
=6-2/6-1
4/5
explain how to write function rule from the table below. Then write a function fule. x=0,2,4,6. y=2,1,0,-1
Both representations are equivalent and describe the same function.the function rule for this table is: f(x) = -1/2 x 2
What do you mean by Slope in Graph ?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.
To write a function rule for a given array, we need to determine how the values in the output column (y) relate to the values in the input column (x).
Looking at the given data, we notice that the output values decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .
The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values decrease by 1 every time the input values increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.
Therefore, the function rule for this table is:
f(x) = -1/2 x 2
where x is the input value and f(x) is the output value.
Alternatively, we can also represent the function in table entries, for example:
f(0) = 2
f(2) = 1
f(4) = 0
f(6) = -1
Both representations are equivalent and describe the same function.
Learn more about Slope of y-Coordinate here
https://brainly.com/question/17024646
#SPJ1
a) -7 + 8 = 1
b) 13 + -9 = 4
c) 23 + -9 = 14
d) -17 + 18 = 1
e) 14 + -26 = -12
f) -8 - 7 = -15
g) 13 - (+9) = 4
h) 23 – (9) = 20
i) 18 - -7 = -25
j) 26 - -14 = -40
are these correct?
Answer:
a) 1
b) 4
c) 14
d) 1
e) 12
f) 15
h) 20
i) 25
j) 40
Step-by-step explanation:
Some mistakes have been made.
Correct answers so far:
a, b, c, d, e, f are correct
h, maybe
Corrections:
g)
13 - ( + 9) can be rewritten as 13 - 9, which is 4
h) I assume the 9 is supposed to be a \(\sqrt{ 9}\) ? If so, then the answer is correct
i) 18 - -7 can be rewritten as 18 + 7 = 25. The two negatives turn into a positive.
j)26 - -14 = 40. The two negatives turn into a positive.
8.4 + 0.001 + 75.02 + 34.925 + 3.15 = __________
Answer:
121.496
Step-by-step explanation:
Columnar addition
rhombus CDEF is shown below. If the slope of FC is 25, what must be the slope of CD in order for CDEF to be a square?
Answer:
\(-\dfrac{1}{25}\)
Step-by-step explanation:
Given the rhombus CDEF, sides FC and CD are adjacent sides.
Using coordinate geometry, to proof that a quadrilateral is a square, with regards to the slope, the slope of adjacent segments must be negative reciprocals.
In fact, by definition: Two lines with slopes \(m_1$ and m_2\) are perpendicular if:
\(m_1=-\dfrac{1}{m_2}\)
Therefore if :
FC and CD are adjacent segmentsSlope of FC=25For the rhombus to be a square:
Slope of CD \(=-\dfrac{1}{25}\)
make t the subject of the formula k=2(t+3)/t-3
t = (6 + 3k)/(k - 2) is the formula for t in the equation k=2(t+3)/t-3.
The given equation is k=2(t+3)/t-3.
We need to isolate t on one side of the equation.
Let's start by cross-multiplying:
k(t - 3) = 2(t + 3)
Expanding the brackets:
kt - 3k = 2t + 6
Now, let's gather all the terms with t on one side and all the constant
terms on the other side:
kt - 2t = 6 + 3k
Factoring out t on the left side:
t(k - 2) = 6 + 3k
Finally, we can solve for t by dividing both sides of the equation by (k - 2):
t = (6 + 3k)/(k - 2)
Therefore, t is the subject of the formula, and it is given by t = (6 + 3k)/(k - 2).
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
13, 15, 17, x, 20, 21; The median is 18.
To find the median
⇒ must define what is a median
⇒Definition of median: middle number of an ordered set
Lets look at the information given
Set when ordered: 13,15, 17,x,20,21 with median of 18
⇒ In this case, there is an even number of numbers
⇒ to find the median
⇒ must find average of two numbers closest to the middle
⇒ which are 'x' and '17' which is equal to the given median 18
Let's set up the equation:
\(\frac{x+17}{2} =18\\x+17=36\\x=19\)
Answer: x = 19
Hope that helps!
What is 3.79 x 8 because hhteuensgs
Answer:
\(3.79*8=30.32\)
Step-by-step explanation:
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
3.79 × 8 = 30.32Hope it helps!
Brainliest plz....
Follow me! ;)
Describe the characteristics of metal in which metal converts into sheet.
Answer:
a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)
Step-by-step explanation:
Anne bought a piece of ribbon that is 7 over 9 m long. She used 3 over 18 m of it to tie a birthday present. She then used the remaining ribbon to form squares of sides 1 over 16 m. What was the maximum number of squares she could form?
Answer:
9 squares
Step-by-step explanation:
Anne bought a piece of ribbon = 7 over 9 m long = 63 m²
she used = 3 over 18 m = 54 m²
left = 9 m²
maximum number of squares she could form of 1 m = 9
Is the inequality 5-x^2<4 true for x=1?
5 - x² < 4
- x² < 4 - 5
- x² < - 1
=》x² < 1
Now, let's check with x = 1
x² < 1
(1)² < 1
1 < 1
1 is not less than or greater than 1. They are equals. So, the inequality 5 - x² < 4 is NOT true for x = 1.
_____
Hope it helps ⚜
A radio tower is supported by heavy wires from the top of the tower to the ground. Each wire makes a 70° angle with the ground, and is anchored to the ground at a point 100 feet from the foot of the tower. What is the height of the tower?
Answer:
use the tangent function to set up an equation:
tan(70°) = h/100
We can then solve for h by multiplying both sides by 100 and taking the tangent of 70 degrees:
h = 100*tan(70°)
Using a calculator, we get:
h ≈ 315.96 feet
the height of the tower is approximately 315.96 feet.
Hope this helps! :)
4/3y=48
solve for y
simplify answer as much as posible
\( \frac{4}{3y} = 48 \\ \)
Inverse both sides
\( \frac{3y}{4} = \frac{1}{48} \\ \)
Multiply both sides by 4
\(4 \times \frac{3y}{4} = 4 \times \frac{1}{48} \\ \)
\(3y = \frac{4}{48} \\ \)
\(3y = \frac{4 \times 1}{4 \times 12} \\ \)
\(3y = \frac{1}{12} \\ \)
Divide both sides by 3
\(3y \div 3 = \frac{1}{12} \div 3 \\ \)
\(y = \frac{1}{12} \times \frac{1}{3} \\ \)
\(y = \frac{1}{36} \\ \)
_____________________________________________
If u mean :\( \frac{4}{3} y = 48 \\ \)
Multiply both sides by the 3
\( 3 \times \frac{4}{3} y = 3 \times 48 \\ \)
\(4y = 3 \times 48\)
Divide both sides by 4
\(4y \div 4 = 3 \times 48 \div 4\)
\(y = \frac{48 \times 3}{4} \\ \)
\(y = \frac{4 \times 12 \times 3}{4 \times 1} \\ \)
\(y = 12 \times 3\)
\(y = 36\)
Please help. Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box
Answer:
\(x =13.7\)
Step-by-step explanation:
Given
See attachment
Required
Find x
The relationship between x, 47 and \(17^{\circ}\) is:
\(sin(17^{\circ}) = \frac{x}{47}\)
i.e.
\(sin(\theta) = \frac{Opposite}{Hypotenuse}\)
Solving further:
\(sin(17^{\circ}) = \frac{x}{47}\)
Make x the subject
\(x = 47 * sin(17^{\circ})\)
\(x = 47 * 0.2924\)
\(x =13.7428\)
\(x =13.7\) --- approximated
Given: AAEB and ADFC, ABCD, AE || DF, EB || FC, AC = DB
Prove: AEAB AFDC
By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.
Proving that Triangles are EqualGiven:
- Triangle ΔAEB and ΔDFC
- Line ABCD is straight (implies AC and BD are collinear)
- AE is parallel to DF
- EB is parallel to FC
- AC = DB
To prove: ΔEAB ≅ ΔFDC
Recall that:
AE || DF
EB || FC
AC = DB
AE || DF, EB || FC (Parallel lines with transversal line AB)
Corresponding angles are congruent:
∠AEB = ∠DFC (Corresponding angles)
∠EAB = ∠FDC (Corresponding angles)
Corresponding sides are proportional:
AE/DF = EB/FC (Corresponding sides)
AC/DB = BC/DC (Corresponding sides)
AC = DB
BC = DC (Equal ratios)
ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)
∠EAB = ∠FDC
∠AEB = ∠DFC
AC = DB, BC = DC
Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.
Learn more about triangles here:
https://brainly.com/question/30104125
#SPJ1
D=
E=
F=
? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Answer:
D= 1
E= 4/9
F=16/81
Step-by-step explanation:
(2/3)^x
x=0
x=2
x=4
d= (2/3)^0
e= (2/3)^2
f= (2/3)^4
PLEASE MARK BRAINLIEST!
Have a great day <3
Rewrite 19/8 as a mixed number.
Answer: 2 3/8
I got an A
Answer:
2 + 3/8
Step-by-step explanation:
Therefore we get 19 / 8 = 2 + 3/8 , which is written as 2 3/8 , called a mixed number. To convert 19/8 you do division; 8 into 19 goes 2 times with 3 left over; so 2 3/8.
Simplify the expression 5x2+6x+4+x2+x
.
Thank You!
The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
The given expression is 5x²+6x+4+x²+x
Simplifying the given expression
5x²+6x+4+x²+x
Firstly, put the similar terms together
5x²+x²+6x+x+4
Adding the similar terms
6x²+7x+4
∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.
Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
To learn more about simplification of expressions,
https://brainly.com/question/31294154
What is the value of the expression below when w=2
Answer:
26
Step-by-step explanation:
8 * 2 + 10 = 26
What is the sum of the interior angles of the polygon shown below?
Answer:
900°
Step-by-step explanation:
formula:
(n-2) x 180°
n = number of sides of polygon
5 x 180 = 900°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
(b) In a company, out of 20 candidates 14 men and 6 women apply for two vacancies. What is the probability that (1) both men are selected ? (ii) both women are selected ? (iii) one man and one woman are selected ?
i hope my answer helps you and you will give me the best answer
can somebody help me
A building is 50 feet tall. Imagine you are standing 30 feet away from it. What is the angle when you are looking up at your friend on the top of
building?
36.9 59.0 53.1 31.0
Answer:
53.1
Step-by-step explanation:
I used my protractor and that is what I got there is no detailed explanation that I came up with
help pls it’s due soon :/
Chord AB subtends two arcs with measures in the ratio of 1:5. Line PQ is tangent
to the circle at point B. Find the measure of the angle between the tangent and secant AB.
Answer:
acute: 30°obtuse: 150°Step-by-step explanation:
The angle between the secant and the tangent will be half the measure of the intercepted arc. The two intercepted arcs total 1+5=6 ratio units and 360°. That means each ratio unit represents 60° of arc. The two arcs are 60° and 300°.
Then the two angles at the tangent and secant are ...
60°/2 = 30° . . . . . . . the one marked in the attache drawing
300°/2 = 150°
A
(Triangle)ABC is isosceles.
AB= 88 and CB = 12x + 4.
B
x= [?]
Answer:
X=7 because 88=12x+4. Simple math gives you x=7
The value of X is 7.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We know that isosceles triangle has two sides of equal length.
We are Given ΔABC is an isosceles triangle, and from inspection of the given diagram:
BC = AB
Therefore we have;
12x + 4 = 88
12x = 88 - 4
12x = 84
x = 84/12
x = 7
Learn more about triangle here:
https://brainly.com/question/342881
#SPJ2
a] The area of a square is 200 cm² Find the length of its diagonal.
\("20cm"\)
Step-by-step explanation:\(Area\ of\ rq=a^2\)
\(a=\sqrt{200}=10\bullet \sqrt{2}\)
\(d\ iargul=\sqrt{2}9\)
\(=10\times \sqrt{2}\times \sqrt{2}\)
\(=20cm\)
I hope this helps you
:)
Tell which of the triangle provide enough information to show that they must be congruent. If they are congruent, state which theorem suggest they are congruent ( SAS, ASA, SSS,AAS, HL) and write a congruent statement
All three sets of triangles provide enough information to show that they must be congruent.
What does it mean for two shapes to be congruent?The phrase "congruent" refers to having exactly the same form and dimension. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
Image A (ΔDOG: ΔCAT)
\(\overline{OD}\) ≅ \(\overline{AC}\) (Side)
mLG ≅ MLT (Angle)
mLO ≅ mLA (Angle)
hence, by ASA Congruency, it is right to state that:
ΔDOG ≅ ΔCAT
Image HPXN:
\(\overline{PH}\) ≅ \(\overline{PX}\) (Side)
\(\overline{HN}\) ≅ \(\overline{XN}\) (Side)
\(\overline{PN}\) ≅ \(\overline{NP}\) (Common to both Side)
Hence by SSS, ΔPHN ≅ Δ PXN.
Image (ΔLOS: ΔDEV)
\(\overline{OL}\) ≅ \(\overline{DE}\) (Side)
\(\overline{OS}\)≅ \(\overline{EV}\) (Side)
\(\overline{SL}\) ≅ DV (Side)
Hence by the SSS Congruence rule, ΔOLS ≅ ΔEVD
Learn more about Geometric Congruence:
https://brainly.com/question/24049722
#SPJ1
Given sides b, c, and angle d
state the area of the triangle.
The area of triangle with three sides a,bc is equals to
√[s × (s – a) × (s – b) × (s – c)].
What is triangle ?
Triangle can be defined as in which it consists of three sides, three angles and sum of the three angles are 180 degrees always.
Given
in the triangle with three sides a,b,c.
Let ABC be a triangle such that the length of the 3 sides of the triangle is AB = c, BC = a and CA = b.
The semi-perimeter of triangle ABC = s = (a + b + c)/2
Then, the area of triangle ABC = √[s × (s – a) × (s – b) × (s – c)].
Therefore, The area of triangle with three sides a,bc is equals to
√[s × (s – a) × (s – b) × (s – c)].
To learn more about Triangle from the given link.
brainly.com/question/2773823
#SPJ1
what is 5 1/2 + 2 1/7 pleas help i cant figure it out
Answer:
\(\frac{107}{14}\) or \(7\frac{9}{14}\)
Step-by-step explanation:
\(5 \frac{1}{2} +2\frac{1}{7}\)
\(5 \frac{1}{2} +2\frac{1}{7} =\frac{11}{2} +\frac{15}{7}\)
\(\frac{11}{2} +\frac{15}{7}\)
\(\frac{11}{2} +\frac{15}{7}=\frac{77+30}{14} =\frac{107}{14}\)
\(\frac{107}{14} =7\frac{9}{14}\)
Hope this helps!