Answers
Answer:
x = 4, y = -3
Step-by-step explanation:
Find the slope intercept form first (y = mx + b):
the one going down is y = -1/2x - 1 (slope is negative, down 1 over 2, and the y-intercept is at (0, -1) )
the one going up is y = 1/4x - 4 (slope is up 1 over 4, and the y-intercept is at (0, -4)
Convert them into standard form (Ax + By = C):
1st equation: multiply the entirety of both sides by 2 to get rid of the fraction:
2y = -1x -`2
add 1x to both sides: 1x + 2y = -2
2nd equation: multiply the entirety of both sides by 4 to get rid of the fraction:
4y = 1x - 16
subtract 1x from both sides: -1x + 4y = -16
Isolate a variable:
-x + 4y = -16
-x = -4y - 16
x = 4y + 16
Plug that into other equation:
1(4y + 16) + 2y = -2
6y + 16 = -2
6y = -18
y = -3
Substitute y into the isolated equation:
x = 4(-3) + 16
x = -12 + 16
x = 4
Related Questions
The box plots below show the distribution of salaries, in thousands, among employees of two small companies.Which measures of center and variability would be best to use when making comparisons of the two data sets?
Answers
Answer:
mean and Interquartile Range (IQR)
Step-by-step explanation:
Three paintings are shaped like an 8-foot square a 7-foot by 4-foot rectangle and a triangle with 6-foot base and height of 7 feet. If those paintings are hung together on the outside of the building how much of the building s wall they cover together ?
Answers
Answer:
113 square feet
Step-by-step explanation:
the total area covered can be determined by adding the area of the rectangle, triangle and square together
Area of a square = length² = 8² = 64 ft²
Area of a rectangle = length x width = 7 x 4 = 28 ft²
Area of a triangle = 1/2 x base x height = 1/2 x 6 x 7 = 21 ft²
64 + 28 + 21 = 113 ft²
1/3a = −5
What does a equal?
Answers
1. Combine multiplied terms into a single fraction
1/3 = −5
1a/3 = -5
2. Multiply by 1
1a/3 = -5
a/3 = -5
3. Multiply all terms by the same value to eliminate fraction denominators
a/3 = -5
3 • a/3 = 3 (-5)
4. Cancel multiplied terms that are in the denominator
3 • a/3 = 3 (-5)
a = 3 (-5)
5. Multiply the numbers
a = 3(-5)
a = -5
What is the volume of the right prism with height h=14cm, if the base of the prism is a triangle ABC with side AB=9cm and the length of the altitude to that side is ha= 6 cm. It is not 476cm2 btw.
Answers
Answer:
378 cm
Step-by-step explanation:
Which is a right triangle formed using a diagonal through the interior of the cube?
triangle ABE
triangle ABD
triangle ADH
triangle ACE
Answers
Answer:
ABE
Step-by-step explanation:
A ladder is placed against a building so that it reaches 35 feet up the side of the building when its base is 12 feet from the base of the building. How long is the ladder?
Answers
Answer:
35 multiplied by 12
Step-by-step explanation:
Because either you multiply it or you do sohcahtoa
A. (-1,0)
B. (0, -2)
C. (-2, 0)
D. (0, -1)
Answers
Answer:
the answer is B, (0, -2) :)
Step-by-step explanation:
i need help
please :)
have a good day
Answers
Answer:
I think it's probably 5 hikes
need help asap best answer gets brainliest.
Answers
Answer:
1.
∠LMN
∠NML
∠M
2.
∠M and ∠L
3.
Opposite angles are congruent (equal in measure).
A ski area has a high-speed lift that can move 2,400 skiers to the top of the mountain each hour. Write an expression describing how many skiers can be lifted in ℎ hours. Do not use spaces.
Answers
Answer:
2,400h
Step-by-step explanation:
You multiply the amount of skiers per hour (2,400) by the amount of hours (h).
for mother's day, jen took her mother hiking. they hiked three trails. the arrowhead nature trail is 1 1/5 of a mile, the coquina bay walk is 2/10 of a mile, and the robinson preserve is 4 1/2 of a mile. how far did they hike in all?
Answers
Answer:
5 and 9/10 miles
Step-by-step explanation:
Find the mean of the following numbers.
64, 82, 74, 60
Answers
Answer:
70
Step-by-step explanation:
Simple math Add the numbers and devide by the number of numbers
(64+82+74+60)/4
Answer: 70
Step-by-step explanation:
To find the mean you add the numbers up then divide by how many numbers there are so when you add them up you get 280 and then divide that by 4 which is 70. hope this helps! :')
A 258-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
Answers
Answer:
43in
Step-by-step explanation:
Let the length of the pieces be x and y
Since the total length is 258in, then;
x+y = 258... 1
If One piece is five times the length of the other, then x = 5y ....2
Substitute 2 into 1
From 1:
x+y = 258
5y+y = 258
6y = 258
y = 258/6
y = 43
Since x = 258-y
x = 258-43
x = 215
Hence the length of the shorter piece is 43in
Is the geometric mean of 6 and 8 4 times the square root of 3?
Answers
Answer:
9.798
Step-by-step explanation:
The geometric mean is 9.798 as the square root of 8 times 12. Scroll down to related links and look for more on "geometric mean".
find x. please explain
Answers
Answer:4
Answer:
5
Step-by-step explanation:
We can figure out the triangle is 30-60-90. So we use the pythagorean theorem. 13^2 - 12^2 = x^2. 25 = x^2. square root of 25 is 5.
please help with this question?!
Answers
Answer:
120 yd²
Step-by-step explanation:
The solid has 5 faces.
Bottom: rectangle 6 yd by 3 yd
Left: rectangle 8 yd by 3 yd
Right: rectangle 10 yd by 3 yd
Front & Back: 2 triangles 6 yd base and 8 yd height
area = 6 * 3 + 8 * 3 + 10 * 3 + 6 * 8
area = 72 + 48
area = 120
Answer: 120 yd²
Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a
and 5b are like terms, so they can be combined. Who is correct?
Answers
Answer:
Rosa. 5a and 5b are not like terms. The letters have to be the same
Help help me find the inverse for this pls pls
Answers
What is the measure of the missing angle?
Answers
Answer:
42
Step-by-step explanation:
1.- Maria compro $750 en mercancia, por pajar en efectivo le hacen un descuento del 15%, ¿cuánto pago Maria con el descuento?
Answers
Answer:
$637.5
Step-by-step explanation:
Given data
Cost of merchandise= $750
Discount= 15%
Let us find the amount of the discount
=15/100*750
=0.15*750
=$112.5
Hence the amount paid will be
=750-112.5
=$637.5
1)A pitcher throws a ball at 40.0 m/s, and the ball is electronically timed to arrive at home plate 0.4625 s later. What is the distance from the pitcher to the home plate?
2) radio signal travels from the earth and through space at a speed of 300,000 km/s. How far into space would the signal travel in 80 seconds?
3) bullet leaves a rifle with a speed of 1,230 m/s. How much time elapses before it strikes a target 5000m away?
Will give a brainliest if you are correct
Answers
Answer:
the answer to number one is 18.5. i'm not sure about two or three, sorry.
Step-by-step explanation:
1. I think you can use the formula for speed:
speed = distance / time
2. Transpose the equation to find distance and you'll get:
distance = speed x time
3. Substitute the given inputs...
distance = (40 m/s)(0.4625s)
4. Cancel "s".
distance = (40m)(.4625)
5. Calculate.
distance = 18.5 m -- ANSWER
1) The distance be 18.5 meter.
The Velocity of ball is v = 40.0 m/s and it taking t = 0.4625 seconds to arrive at home plate.
What is the relation between velocity, distance and time?
Velocity equals distance travelled divided by the time it takes to get there.
Now,
Velocity = distance/ time
So, Distance = time x velocity
⇒ Distance = 0.4625 x 40.0
= 18.5 m
Thus, the distance be 18.5 meter.
2) Distance of the signal travel is [tex]24 *10^{6}[/tex] [tex]km/sec^{2}[/tex].
Here, Speed of radio signal is 300,000 km/s
Time taking in travel is 80 second.
Speed = distance/ time
Distance = speed x time
= 300,000 x 80
= 24,000,000
Hence, Distance of the signal travel is [tex]24 *10^{6}[/tex] [tex]km/sec^{2}[/tex].
3) Time taking to elapses before it strikes a target is 4.06 second.
Here, Speed of bullet is 1230 m/s
Distance travel by bullet is 5000m
Now,
Speed = distance/ time
Time = distance / speed
= 5000/1230
= 4.06 second
Hence,
Time taking to elapses before it strikes a target is 4.06 second.
Learn more about the Velocity, time, distance visit:
https://brainly.in/question/18578350
#SPJ2
A scaled drawing of May’s room is a square with an area of 16 square inches. If her actual bedroom has a side length of 12 ft, what is the scale of the drawing? 1in = _____ ft
Answers
Answer:
9 ft
Step-by-step explanation:
your area in the model is 16 in, and to get area you do LxW or BxH same thing. The room is a square, which means all sides are going to be 12ft. multiply 12 by 12=144 now you have
16in=144ft
then you divide 144 by 16 and get 9.
1in=9ft
Sry if im wrong, have a great day/night :}
Edit: yes i was wrong
Which property states that if two figures share the same side or the same angle, then the shared sides or shared angles are congruent to each other.
Transitive Property
Associative Property
Distributive Property
Reflexive Property
Identity Property
Answers
Answer: the 1st one transitive property
Step-by-step explanation:
During math class, Erik draws a circle with a compass. The circle has a radius of 3 inches. What is the circle's diameter?
Answers
Answer: 6 inches
Step-by-step explanation:
The diameter is double the radius
SOMEONE PLS HELP ASAP DUE SOON PLS AND TY PLSSS I NEED HELP
Answers
Answer:
1.48
Step-by-step explanation:
Formula:
degrees × (π)/180
85 × (π)/180
85π/180
17/36π
1.483
Rounded to nudredths: 1.48
Answer:
1.48
Step-by-step explanation:
Translate The verbal sentences into an algebraic inequality
(1) x is at most 50 _________
(2) the sum of 5x and 2x is at least 70 __________
(3) the maximum value of 4x-6 is 54 _________
Answers
Step-by-step explanation:
1. x>50
2. (5x+2x)<70
3 (4x-6)>54
Use the tabel to answer the question what rule describes the function F(x)?
A) f(x)=x+3
B) f(x)=x+4
C) f(x)=3x+2
D) f(x)=5x
Answers
x+y=1212
x-y=518
please help me with it
Answers
Here,
x+y=1212••••••[tex]\bold{equation~I }[/tex] x-y=518••••••[tex]\bold{equation~II }[/tex]ADDITIONALL,both two equation.
we get that,
x+y+x-y=1212+5182x=1730x=865so,
x-y=518865-y=518y=860-518y=347What are the coordinates of point P on a directed line segment from R to Q such that P is 5/6 the length of the line segment.
Answers
Answer:
[tex]P = [-3/5,2.33][/tex]
Step-by-step explanation:
Given
See attachment for line segment RQ
[tex]P = \frac{5}{6}[/tex] of RQ
Required
The coordinates of P
Using line segment ratio formula, we have:
[tex]P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]
If P is at:
[tex]P = \frac{5}{6}[/tex]
Then:
[tex]m : n = \frac{5}{6} : 1 -\frac{5}{6}[/tex]
Solve
[tex]m : n = \frac{5}{6} : \frac{6-5}{6}[/tex]
[tex]m : n = \frac{5}{6} : \frac{1}{6}[/tex]
Multiply by 6
[tex]m : n = \frac{5}{6} *6: \frac{1}{6} * 6[/tex]
[tex]m : n = 5 : 1[/tex]
By comparison
[tex]m=5\ \& n = 1[/tex]
From the attached line segment
[tex]R(x_1,y_1) = (4,-1)[/tex]
[tex]Q(x_2,y_2) = (-5,3)[/tex]
So, we have:
[tex]P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}][/tex]
[tex]P = [\frac{-25 + 4}{6},\frac{15 -1}{6}][/tex]
[tex]P = [\frac{-21}{6},\frac{14}{6}][/tex]
[tex]P = [-3/5,2.33][/tex]
Angel está adaptando un espacio para hacer actividades recreativas en casa y quiere rodear el borde con plantas, cuántos metros mide el borde si la ecuacion para calcularlo es 2a+2b, donde a representa el ancho y b el largo del espacio, a=1 metro y b=2 metros
Answers
Answer:
El borde mide 6 metros.
Step-by-step explanation:
Sabemos que la ecuación para el borde está dada por:
borde = 2*a + 2*b
Si sabemos que:
a = 1 metro
y
b = 2 metros
podemos simplemente remplazar esos valores en la ecuación para el borde, asi obtendremos:
(es decir, donde hay una "a" en la ecuación, escribimos "1 metro", y end donde hay una "b" en la ecuación, escribimos "2 metros", luego resolvemos)
borde = 2*(1 metro) + 2*(2 metros) = 2 metros + 4 metros = 6 metros.
Podemos concluir que el borde mide 6 metros.