Answer:
(2, 4)
Step-by-step explanation:
"What is the solution of this system of equations?"
Substitute 3x - 2 for y in the second equation, obtaining:
3x - 2 - 2 = x
Consolidate like terms: subtract x from both sides and add 4 to both sides:
2x = 4. Thus, x = 2. Substituting 2 for x in the first equation, we get:
y = 3(2) -2 = 4.
Thus, the solution is (2, 4)
McNeal stands at the 40 degree angle and is trying to find the width of the river. McNeal knows she is 120 feet from the tree.
A) Write a trig equation to find the river's width (nearest foot)
B) Solve your trig equation to find the river's width (nearest foot)
Answer:
Our equation is:
[tex]\displaystyle \sin(40^\circ)=\frac{w}{120}[/tex]
Solving this yields that the width of the river is about 77 feet.
Step-by-step explanation:
Part A)
We know that McNeal is 120 feet from the tree. This is the hypotenuse.
And we want to find the width of the river, which is the side opposite from our angle.
Since we want to find the side opposite to our angle and we are given the hypotenuse, we will use the sine ratio:
[tex]\displaystyle \sin(\theta^\circ)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
Our angle is 40°.
The opposite side is unknown. We can let this be w to represent width.
The hypotenuse is 120 feet. Hence, our equation is:
[tex]\displaystyle \sin(40^\circ)=\frac{w}{120}[/tex]
Part B)
Solve for w:
[tex]w=120\sin(40^\circ)[/tex]
Use a calculator:
[tex]w=77.1345...\approx 77\text{ feet}[/tex]
The width of the river is about 77 feet.
pls ans.thanks a lot
Answer:
you're answer is -2
Step-by-step explanation:
i hope this helped you have a nice day :)
What is simplifying? I honestly know what it is, but I forgot the definition.
Rotate the given triangle
90°clockwise about the origin.
21
2 21
-1 3
?
1
Answer:
Step-by-step explanation:
-1 -1 3
1 -2 -2
The new coordinates of the vertices after a 90° clockwise rotation about the origin are:
[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]
What occurred when you rotated 90 degrees clockwise?If we rotate a triangle 90° counter clockwise about the origin,
Then if one of its vertices be (x, y), it will be changed to (y, x).
The triangle is given as follows:
[tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\\\end{array}\right][/tex]
To rotate the given triangle 90° clockwise about the origin, we can use the rotation matrix:
[tex]\left[\begin{array}{ccc}cos90^{o}&-sin90^{o}\\sin90^{o}&cos90^{o}\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}0&-1\\1&0\\\end{array}\right][/tex]
To apply this rotation matrix to each vertex of the triangle, we multiply it with the coordinate vector of each vertex.
Let's denote the vertices of the triangle as A, B, and C.
A = (-1, -1)
B = (2, -1)
C = (2, 3)
Applying the rotation matrix to each vertex, we have:
[tex]A' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} -1 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ -1 \end{bmatrix}[/tex]
[tex]B' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ 2 \end{bmatrix}[/tex]
[tex]C' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ 3 \end{bmatrix} = \begin{bmatrix} -3 \ 2 \end{bmatrix}[/tex]
Therefore, the new coordinates of the vertices after a 90° clockwise rotation about the origin are:
A' = (1, -1)
B' = (1, 2)
C' = (-3, 2)
This can be written as follows:
[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]
Learn more about the rotating triangle here:
https://brainly.com/question/22878771
#SPJ7
Which factors of −14 are used to factor x2+5x−14?
Answer:
+ 7 and - 2
Step-by-step explanation:
Given
x² + 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
x² + 5x - 14 = (x + 7)(x - 2) ← in factored form
The formation of the solar system
Step-by-step explanation:
Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material.
Answer:
Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material. It was gaseous, filled with billions of stars.
Mark me brainliestt :)) ehehe
HURRY! Roberto concluded that 8th graders are more likely than 9th graders to have a summer job because more 8th graders than 9th graders responded that they have a summer job. Is Roberto correct? Explain why or why not
Answer :What words or phrases did the author use to express his opinion about city gardening?
Step-by-step explanation:
Find the percent of change.
A coat costs $250 and is on sale
for $100.
The percent of change in price is________
Answer:
150
Step-by-step explanation:
250 - 100
Pablo wants to pour 82.69 grams of salt into a container. So far, he has poured 38.4 grams. How much more salt should Pablo pour?
please help =)
helppppp
Answer:
44.29 grams
Step-by-step explanation:
82.69 - 38.4 gives you 44.29.
44.29 + 38.4 gives you 82.69.
A circle has a radius of 17 in. Find the length s of the arc intercepted by a central angle of 0.7 radians.
Round your answer to the nearest tenth .
Given:
The radius of the circle is 17 in.
Central angle of intercepted arc is 0.7 radians.
To find:
The length s of the intercepted arc.
Solution:
The formula for the length of intercepted arc is:
[tex]s=r\theta[/tex]
Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in radians.
Substituting [tex]r=17,\ \theta =0.7[/tex] in the above formula, we get
[tex]s=17\times 0.7[/tex]
[tex]s=11.9[/tex]
Therefore, the length of the intercepted arc is 11.9 inches.
(2m - 5m^3 ) - (5m + 3m^3- 7m^4 ) + (8 - 3m^3- 5m^4+ 4m)
Answer:
2m^4 - 11m³ + m + 8
Step-by-step explanation:
(2m - 5m³) - (5m + 3m³ - 7m^4) + (8 - 3m³ - 5m^4 + 4m)
2m - 5m³ - 5m - 3m³ + 7m^4 + 8 - 3m³ - 5m^4 + 4m
7m^4 - 5m^4 - 5m³ - 3m³ - 3m³ + 2m - 5m + 4m + 8
2m^4 - 11m³ + m + 8
Answer:
8 + m - 11m^3 + 2m^4
Step-by-step explanation:
Add and subtract like terms:
8 + (2m - 5m +4m) + (-5m^3 - 3m^3 - 3m^3) + (7m^4 - 5m^4) =
8 + m - 11m^3 + 2m^4
Use the graph to write a linear function that relates y to x
Answer:
y=-4x
Step-by-step explanation:
Select 2 points, I will be using (-1,2) and (0,-2)
As you can see, for every x unit to the left, there are four y units down
A school pays $1,825 for 150 shirts. This includes the $25 flat-rate shipping cost.
a. What equation models the total cost as a function of the number of T-shirts
ordered?
b. What does each variable represent?
c. What are the initial value and rate of change of the function? What does each
one represent?
Answer:
a)
We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.
First, let's find how much costs each shirt.
First, the total cost of the shirts alone (neglecting the flat-rate) is:
$1,825 - $25 = $1,800
Then each shirt costs equal to the quotient of the cost and the number of shirts:
$1,800/150 = $12
Each shirt costs $12.
Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:
C(T) = $25 + T*$12
b) C represents the cost
T represents the number of shirts ordered.
c) The initial value is the constant value, in this case, is $25
The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.
Ann’s Trail Mix Recipe
5 cups oats
3 cups seeds
1 cup nuts
2 cups raisins
Find three equivalent ratios for the
ratio of nuts to oats
Answer:
5:1, 10:2, and 15:3
Step-by-step explanation:
Help me with the math
Answer:
See below
Step-by-step explanation:
[tex] m\angle 1 = 180\degree - (90+39)\degree = 51\degree [/tex]
[tex] m\angle 2= 90\degree -51\degree =39\degree [/tex]
[tex] m\angle 3= 90\degree[/tex]
[tex] m\angle 4 = 180\degree - (90+39)\degree = 51\degree [/tex]
[tex] m\angle 5 = 180\degree - (129+34)\degree = 17\degree [/tex]
[tex] m\angle 6 = 90\degree +39\degree = 129\degree [/tex]
An art class contains 87 jars of paint. One third of the paint colors is red the remaining two thirds is purple.what is the ratio of purple paint to red paint.
9514 1404 393
Answer:
2 : 1
Step-by-step explanation:
purple : red = (2/3) : (1/3) = 2 : 1
The ratio of purple paint to red paint is 2 : 1.
Answer:
Solution :-⅓ are red
So,
No. of red colors = 1/3 × 87 = 29
No. of purple colors = 2/3 × 87 = 2 × 29 = 58
So,
Ratio = 58:29
Ratio = 2:1
[tex] \\ [/tex]
I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS
Answer:
The Clubhouse and the Swimming Pool
Step-by-step explanation:
If you look closely the points are on the buildings. The X axis is left to right.
The Clubhouses coordinate is (12,12) but the Swimming Pools coordinates is (8,12). They have the same X-Axis
Answer:
club house and swimming pool
Step-by-step explanation:
club house and swimming pool both have an x-coordinate of 12.
NEED HELP QUICKLY TYSM IF U DO :)
9. In the diagram below, Angle A is 50 degrees. What is angle B?
Answer:
130
Step-by-step explanation:
Angle B = 180 - Angle A
180 - 50 = 130
Answer:
The answer is 130 degrees.
Step-by-step explanation:
A+B should be 180, so with A being 50; B has to be 130.
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a
4-foot wall?
16 tiles
8 tiles
4 tiles
1 tile
Answer:
16 tiles
Step-by-step explanation:
Divide 4 by 1/4 to get your answer.
This is the same as multiplying 4 by the inverse of 1/4 (which is 4/1 a.k.a 4)
4 * 4 = 16
16 tiles will fit end-to-end along a 4-foot wall.
Write a polynomial expression that has the following characteristics: The polynomial expression is a trinomial. The polynomial expression has degree 2. The leading coefficient is -5. 6
Answer:
[tex] { - 5.6}xy ^{2} + yx + 2x[/tex]
Madison, Natalie, Isabella and Rebecca go shopping. Madison spent 4/5 of her money, Natalie spends 75% of her money,Isabella spends 0.68 of her money and Rebecca spends 17/20 of her money. Who has the largest percentage of their money left?
Answer:
you need common denominater so 10/10 - 9/10 =1/10 thats how much of her money she used.
Step-by-step explanation:
Arc measure - Hello! Can you please help me and if you can explain the formula that would be awesome!
9514 1404 393
Answer:
88°
Step-by-step explanation:
Angle MQP is called an "inscribed angle." Its vertex (Q) is on the circle, and its sides are chords of the circle. The ends of the sides intercept arc MP. The relationship between an inscribed angle and the intercepted arc is that the measure of the arc is twice the measure of the angle.
arc MP = 2×∠MQP = 2×44°
arc MP = 88°
i need help
https://hegartymaths.com/assessment
Answer:
It is a link or not??
find the product of (p+3q2)pq
Answer:
p²q + 3pq³
Step-by-step explanation:
(p + 3q²) pq ← multiply each term in the parenthesis by pq
= p²q + 3pq³
Expand the following logarithm:
[tex] log_{5}( \frac{ {x}^{2} }{y} )^{6} [/tex]
Answer:
[tex] \displaystyle 12 \log_{5}( {x}^{} {)}^{} - 6 \log_{5}(y ^{} )[/tex]
Step-by-step explanation:
we would like to expand the following
[tex] \displaystyle \log_{5}\bigg( \frac{{x}^{2}}{y} \bigg) ^{6} [/tex]
since we have a division of two different variable we can consider using division logarithm rule
[tex] \displaystyle \log_{5}( {x}^{2} {)}^{6} - \log_{5}(y) ^{6} [/tex]
use law of exponent:
[tex] \displaystyle \log_{5}( {x}^{12} {)}^{} - \log_{5}(y ^{6} )[/tex]
by exponent logarithm rule we acquire:
[tex] \displaystyle 12 \log_{5}( {x}^{} {)}^{} - 6 \log_{5}(y ^{} )[/tex]
and we are done!
Phillip helps his neighbors with various jobs. The table shows some jobs he did, the number
of hours he worked, and the amount he was paid. Is Phillip's pay proportional to the number
of hours he works?
Use the drop-down menus to explain your answer.
Job
Fixing a Fence
Pulling Weeds
Painting a Garage
Mowing a Yard
Hours Worked
5
4.5
6
1.5
Amount Paid ($)
75
54
78
18
Answer:
Is and his pay is always a multiple of 3
Step-by-step explanation:
I did the i-Ready
Answer: his pay is always a multiple of 3
Step-by-step explanation:
Find the area of a circle with a circumference
of 50.24 units.
units2
Use 3.14 for II and label your answer in square units. Ex: 4 square units OR 4 units squared
Answer:
Hello! answer: 200.96
Step-by-step explanation:
50.24 ÷ 3.14 = 16 16 ÷ 2 = 8 8 × 8 × 3.14 = 200.96 therefore are area is 200.96 HOPE THAT HELPS!
Answer:
200.96
Step-by-step explanation:
Khan academy
Select the equation that represents the graph of the line y=x-1 y=1/2x-1 y=1/2x + 2 y=x+2
Answer:
[tex]y = \frac{1}{2}x - 1[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
The graph equation
First, pick any two corresponding points on the line
[tex](x_1,y_1) = (2,0)[/tex]
[tex](x_2,y_2) = (4,1)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{1 - 0}{4 - 2}[/tex]
[tex]m = \frac{1}{2}[/tex]
The line equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where
[tex](x_1,y_1) = (2,0)[/tex]
[tex]m = \frac{1}{2}[/tex]
So:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac{1}{2}(x - 2) + 0[/tex]
[tex]y = \frac{1}{2}x - 1 + 0[/tex]
[tex]y = \frac{1}{2}x - 1[/tex]
solve for x. please help
Answer:
Assuming it is a 90-degree angle, the answer is x=18.5
Step-by-step explanation: