Choose the system of equations that matches the following graph:
3x + 4y = 24
3x + y = −3
3x + 4y = 24
3x − y = 3
3x − 4y = −24
3x + y = −3
3x − 4y = −24
3x − y = 3
Answers
One of the lines passes through points (0, 6) and (-4, 3). Hence the equation is given by:
(y - 6)/(x - 0) = (3 - 6)/(-4 - 0)
(y - 6)/x = -3/-4 = 3/4
4(y - 6) = 3x
4y - 24 = 3x
3x - 4y = -24
The other line passes through points (0, -3) and (1, 0). Hence the equation is given by:
(y - (-3))/(x - 0) = (0 - (-3))/(1 - 0)
(y + 3)/x = (0 + 3)/1
y + 3 = 3x
3x - y = 3
Therefore, the system of equations representing the graph is:
3x - 4y = -24
3x - y = 3
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Related Questions
pretty sure its 8 but i just wanna be sure...
Answers
Answer:
Yup i'm pretty sure its 8 :D
Step-by-step explanation:
Answer:
yeah, basically certain it 8!!
To measure the distance across a pond, Sandy and Garrett mark a spot at on
edge of the pond and walk away from each other at a right angle. If Sandy
walked 5 yd and Garrett walked 1 yd less than the distance across the pond, what
is the distance across the pond and how far did Garrett walk?*
Answers
Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
distance across the pond: x yddistance walked by Sandy: 5 yddistance walked by Garret: x-1 ydA right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
The table below represents the number of paintings, y, that Jordan completed in x years.
Jordan's Paintings
Which equation describes the relationship between the number of paintings and the year?
y = 3x + 1
y = 3x + 4
y = x +3
y = 4x + 3
Answers
Answer:
y=3x+1
Step-by-step explanation:
It would be y=3x+1 because if you replace x with 2 and do y=3(2)+1 you would get y=6+1 or just y=7 and in the table for 2 years it says 7 paintings.
Find two numbers A
and
B
whose sum
a
+
b
is
−
3
, and whose difference
a
−
b
is
−
7
.
Your answer is
a=
b=
Answers
Answer:
the following is the answer , a is -5, b is 2
Solve the following equation for x
X^2-11x-60=0
A-x=4;x=-15
B-4;x=-15
C-x=4;x=15
D-x=-4;x=-15
Answers
Answer:
The answer is x= -4 x= 15
Step-by-step explanation:
Answer:
The answer will be B.
Step-by-step explanation:
Because when you do it like shown you will gt this
Step 1: Factor left side of equation.
(x+4)(x−15)=0
Step 2: Set factors equal to 0.
x+4=0 or x−15=0
x=−4 or x=15
Answer:
x=−4 or x=15
1) - 3 = -11
2) 4 (g – 1) = 24
3) = 0
4) - 40 = 12x + 8
5) - 2p – 3 = -19
6) 13 =
7) - 9 = - 11 +
8) Challenge!!
2q + 10 = 7q
9) d + = -
10) 5 - u =
11) - m - = - 10
12) = + 9q
13) 2 = +
14) c - = c
15) ( w - ) =
16) + 5 = 2
17) - p + = - 3p
18) - 2 n - = - 1
Answers
Answer:
1. −3≠−11 (false)
2. g=7
4. x=−4
5. p=8
7. + 2
8. q = 2
10. =−u+5
16. 5≠2 (false) or
'-3' because -3 + 5 = 2
sorry not sure how to do the others :(
what is the solution of the equation x^2 + 2x -7=0
Answers
Answer:
x = -1 + 2 sqr2
or
x = -1 -2 sqr2
Step-by-step explanation:
Please answer correctly ASAP !!!!! WILL MARK BRAINLIEST !!!!!!!!
Answers
Answer:
lool thats teams,
Step-by-step explanation:
When the value of x is 3, what is the value of Y?
Read this carefully please.
Answers
Answer:
Y would be 9
Step-by-step explanation:
i saw the picture
x:y
1:3
2:6
3:9
You times the x by 3 and keep going down
Hope this helped
A die has 12 faces numbered 1 through 12. On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12. Which is the most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times?
Answers
Answer:
Step-by-step explanation:
5/12 * 300 = 125 times
The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is 125 times.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A die has 12 faces numbered 1 through 12.
And, The theoretical probability of rolling a prime number is 5/12.
Here, On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12.
Hence,
The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is,
⇒ 300 × 5/12
⇒ 1500 / 12
⇒ 125
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ5
What can we say about U?
Answers
Answer:
U=2
Step-by-step explanation:
or U is 2 points to the right of T?
Answer: u=2
Step-by-step explanation:
Or is it going by .5
36,000 people attended a basketball game. If 80% of the seats are filled, how many seats are in the ballpark?
Answers
Answer:
45,000
Step-by-step explanation:
80/100 = 36000/x
8x = 360000
x = 45000
Answer:
45000 seats
Step-by-step explanation:
Let t= total number of seats at the ballpark
t* 80% = 36000
Change to decimal form
t*.80 = 36000
Divide each side by .80
.80t/.80 = 36000/.80
t =45000
What does the question mark equal?
Answers
Answer:
8
Step-by-step explanation:
the candy = 25
the watermelon = 1
the fish = 4
the peanut = 17
25-17=8
48. Calculate the number of sides of a regular polygon whose interior angle is
140°
A. 6 B. 9 C. 12 D. 15 E. 40
Answers
the answer is B. 9 sides
A pole that is 3.1 m tall casts a shadow that is 1.59 m long. At the same time, a nearby building casts a shadow that is 50.75 m long. How tall is the building?
Round your answer to the nearest meter.
Answers
Answer:
92 meters high.
Step-by-step explanation:
This problem involves proportion.
Let x be the unknown, which is the height of the building.
height of pole = height of the building
height of the shadow height of the shadow
3.3 m = x
1.78 m 49. 75 m
Solve for x.
(3.3 m) (49.75 m) = x
1.78 m
92.2331460674 = x
Rounded to the nearest meter, the building is 92 meters high.
Hope that helps.
There are six clearly distinguishable frogs sitting in a row. Two are green, three are red, and one is blue. Green frogs refuse to sit next to the red frogs, for they are highly poisonous. In how many ways can the frogs be arranged?
Answers
Answer:
i believe it is 18
Step-by-step explanation:
green1 green2 blue red1 red2 red3
green2 green1 blue red1 red2 red3
green1 green2 blue red2 red1 red3
green2 green1 blue red2 red1 red3
green1 green2 blue red3 red2 red1
green2 green1 blue red3 red2 red1
green1 green2 blue red1 red3 red2
green2 green1 blue red1 red3 red2
red1 red2 red3 blue green1 green 2 everthing above but this way
Answer:
24
Step-by-step explanation:
Mrs. Whimsey’s class is having a pizza party. If there are 16 students and 4 pizzas cut into 8 slices, what answer choice represents the fraction of one pizza each student receives?
A. one-third
B. one-sixteenth
C. one-fourth
D. one-eighth
Answers
Answer:
C
Step-by-step explanation:
4 pizzas cut into 8 slices each is a total of 32 slices. This means that each student would get 2 of these slices, which is equivalent to 1/8 * 2= 1/4, or choice C. Hope this helps!
Answer:
C) 1/4
4x8=32
32/2=16
two-eighths=one-fourth
what is 50% as a decimal?
Answers
Answer:
.5
Step-by-step explanation:
When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.
Anyone knows the answer of this
Answers
Answer:
La= 5x
Lb= -8x
Answer:
Step-by-step explanation:
i hope my answer helped u
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!!
Find the value of x in each case. Give reasons to justify your solutions!
Answers
Answer:
x=19
Step-by-step explanation:
Because the angle Y and X are on parallel lines then if you add Y to X you would get 180 so we know that part of Y is 90.
90+2x+3x-5=180
85+5x=180
5x=95
x=19
Find the perimeter of the outside of the hungry circle monster. The angle of its mouth is pi/3 radians and its radius is 7 inches
Answers
Answer:
C≈43.98in
Step-by-step explanation:
Rewrite 2 cos 75 degrees sin 75 degrees a double angle identity
Answers
It follows from the double angle identity for sine,
sin(2x) = 2 sin(x) cos(x),
that
2 cos(75º) sin(75º) = sin(2•75º) = sin(150º)
Alternatively, recall that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
Adding these together gives
sin(x + y) + sin(x - y) = 2 sin(x) cos(y)
Set x = y = 75º; then
2 sin(75º) cos(75º) = sin(75º + 75º) + sin(75º - 75º)
2 sin(75º) cos(75º) = sin(150º)
2 cos 75° . Sin 75° = Sin 150°
Notice:
Sin 150 º = Sin 30°
See that Sin 75° = Cos 15°
Cos 75° = Sin 15°
So :
2Cos 75° . Sin 75° = 2 Sin 15°Cos°15 = Sin 30°
What is the slope of the line that passes through the points (10,8) and (-15,18) ?
Answers
Answer:
-0.4
Step-by-step explanation:
m = 10 / -25 = -0.4
HHHEEELLLPPP PLEASE!!!!
The graph of a line passes through two given points, as shown on the graph below. What is the equation of the line
written in general form?
x - y + 5 = 0
x + y - 5 = 0
x - y - 5 = 0
Answers
Answer:
x+y-5=0
Step-by-step explanation:
From the graph, we can see that the line goes through points (0, 5) and (5, 0).
To find the slope of a line, we can use the formula (y1-y2)/(x1-x2). When we substitute the coordinates that we just found, we get (5-0)/(0-5). This equation equals 5/(-5), which equals -1. So, the slope is -1.
Then, to find the equation of the line, we can use the formula y-y1=m(x-x1).
In this equation:
y=a placeholder for the y that will be written in the actual equation
y1=needs to be replaced by a y value (you can choose which pair of coordinates it comes from)
m=slope
x=a placeholder for the x that will be written in the actual equation
x1=needs to be replaced by a x value (Needs to be in the same pair of coordinates as y1)
When we substitute the numbers we found, we will get:
y-5=-1(x-0)
y-5=-x
When we add x to both sides, we will get:
x+y-5=0
PLEASE HURRY IM IN A RUSH!!!!!!! 100 POINTS!
Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Answers
Answer:
If i am right it has to but has to be -11
13. A rectangle has a width that is twice as long as its length and an area of 722 square inches. Find the length of the diagonal, rounded to the nearest tenth.
Answers
Answer:
The diagonal of the rectangle is approximately 42.5 inches.
Step-by-step explanation:
The area of a rectangle is given by the following formula:
area = width*length
In this case the width = 2*length, therefore we have:
area = 2*length²
722 = 2*length²
2*length² = 722
length² = 361
length = sqrt(361) = 19 inches
width = 2*length = 2*19 = 38 inches
The diagonal forms a right triangle with the sides of the rectangle, where it is the hypotenuse. Therefore we can use Pytagora's theorem:
diagonal = sqrt(length² + width²)
diagonal = sqrt(19² + 38²) = 42.485 inches
The diagonal of the rectangle is approximately 42.5 inches.
Answer:
42.5 inches
Step-by-step explanation:
l = length
w = 2l
A = 722
A = l*w
722 = l * 2l
722 = 2l^2
Divide each side by 2
361 = l^2
Take the square root of each side
sqrt(361) = l
w = 2 * sqrt(361)
We want to find the diagonal so we can use the pythagorean theorem
a^2+ b^2 = c^2 where c is the length of the diagonal
l^2 + w^2 = c^2
(sqrt(361)) ^2 + (2 sqrt(361))^2 = c^2
361+1444 = c^2
1805 = c^2
Take the square root of each side
sqrt(1805) = sqrt(c^2)
42.48529 = c
To the nearest tenth
42.5 =c
A $20,000 investment earned a simple interest rate of 5.4%. How much interest was earned in one year?
Answers
Answer:
The interest earned in a year was $1080.
Step-by-step explanation:
Since the money was invested at a simple interest rate, then the amount earned in one year is given by the following formula:
M = C*r*t
Where M is the amount earned, C is the amount invested, r is the rate of interest and t is the time elapsed. Applying the data from the problem, we have?
M = 20000*(5.4/100)*1
M = 20000*0.054
M = 1080
The interest earned in a year was $1080.
Answer:
1,080
Step-by-step explanation:
Given GH is tangent to ⊙T at N. If m∠ANG = 54°, what is mAB ? A circle with centre T is given. GH is tangent to the circle which touches the circumference of the circle at point N. From N, a diameter NTB is drawn. A chord AN is also given, this chord forms an acute angle with tangent. mAB = 72 °
Answers
Answer:
mAB=72°
Step-by-step explanation:
Theorem:The angle between a Tangent and a Radius is 90 degrees.
Applying the above theorem therefore:
∠ANG+∠ANB=90°
54°+∠ANB=90°
∠ANB=90°-54°
∠ANB=36°
Now, Inscribed Angle=[tex]\frac{1}{2}[/tex] of the measure of the arc
Therefore:
36°=[tex]\frac{1}{2}X[/tex] mAB
mAB=36*2=72°
The measure of arcAB is 72 degrees
Circle geometryAccording to the theorem, the angle between a Tangent and a Radius is 90 degrees.
Applying the above theorem, therefore:
∠ANG+∠ANB=90°
54°+∠ANB=90°
∠ANB=90°-54°
∠ANB=36°
Since inscribed angle = of the measure of the arc
Therefore:
36°= mAB
mAB=36*2=72°
Hence the measure of arcAB is 72 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
A tennis supply store pays a wholesaler $90 for a tennis racquet and marks it op by 60%.
What do they charge for the tennis racquet?
Answers
Answer:
$36
Step-by-step explanation:
50%=$45 because you half it
10%= $9 because you divide it by 5 (using the 50% to find 10%)
60%= $45+$9=$54
60% discount= $54
$90-$54=$36
Answer: I think your answer is $36
Step-by-step explanation:
The graph shows the numbers of quarts of yellow
paint that must be mixed with different numbers of
quarts of red paint to make a certain shade of orange
paint.
Answers
Answer:
Step-by-step explanation:
The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Slope = (y2 - y1)/(x2 - x1)
Slope = (2 - 1)/(5 - 2.5) = 1/2.5
Slope = 0.4
The straight line cuts the y axis at y = 0
It means that c = 0
Therefore, the equation is
y = 0.4x