Answer:
I. The point (6, -2) is not a solution for the given equation
II. The slope of the line going through (-4, 1) and (-7, -5) is 2
III. The slope of the line x = -7 is ∞
IV The slope of the line y = -6 is 0
V. The coordinate of the x-intercept is (12.5, 0)
The coordinate of the y-intercept is (0, 25)
VI. The equation of the line is y = 17·x + 59
Step-by-step explanation:
I. The given equation is -4·x - 5·y = 32
The given point = (6, -2)
Therefore;
The x-coordinate value of the point = 6
The y-coordinate value of the point = -2
Plugging in the x and y-coordinate values into the given equation gives;
-4 × (6) - 5 × (-2) = -14 which does not correspond to the given equation, therefore, the point (6, -2) is not a solution for the given equation;
We can also show, by making y the subject of the formula of the given equation, weather the point is a solution of the given equation as follows;
-4·x - 5·y = 32
y = (-4/5)·x - 32/5
For x = -2, we have;
y = (-4/5) × (-2) - 32/5 = - 4.8
Therefore, the point (6, -2) where y = 6 when x = -2 is not a solution of -4·x - 5·y = 32
II. The slope of a straight line, given two points on the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where the two points are (-4, 1), and (-7, -5), we have;
x₁ = -4, y₁ = 1, x₂ = -7, and y₂ = -5
[tex]Slope, \, m =\dfrac{-5-1}{-7-(-4)} =2[/tex]
The slope, m, of the line going through (-4, 1) and (-7, -5) is m = 2
III. The slope of the line x = -7 = ∞ because, the difference in the x-value which is the denominator of the slope equation = 0 for all differences in the y-coordinate values
IV The slope of the line y = -6 is 0 because, the difference in the y-values which is the numerator of the slope equation = 0 for all differences in the x-coordinate values
V. The x and y-intercept of an equation is found by finding the values of the variable, x or y, in the equation, when the other variable, y or x is equal to zero respectively, which is given as follows;
The given equation is y = -2·x + 25
When y = 0, we have the x-intercept as 0 = -2·x + 25
∴ 2·x = 25
x = 25/2 = 12.5
Therefore, the coordinate of the x-intercept is (12.5, 0)
When x = 0, we have the x-intercept as y = -2·x + 25 = -2 × 0 + 25 = 25
The coordinate of the y-intercept is (0, 25)
VI. The general equation of a straight line is y = m·x + c
Where;
m = The slope of the line
c = The y-intercept
For the line that goes through the points (-3, 8) and (-4, -9), we have;
[tex]The \ slope, \, m =\dfrac{-9-8}{-4- (-3)} = \dfrac{-9-8}{-4+3} = 17[/tex]
The equation in point and slope form is y - 8 = 17 × (x - (-3))
∴ y = 17·x + 51 + 8 = 17·x + 59
The equation of the line is y = 17·x + 59
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Help me I am going to dye I have bean on the same question for 20 min! Brooo I'm in 6th grade and don't know what multiply 6 and 42 using distributive property is OMG HELP ME
Answer:
6 * 42 = 6 * (20 + 22)
= (6 * 20) + (6 * 22) = 120 + 132 = 252
Step-by-step explanation:
Here, we want to multiply 6 by 42 using distributive property
In this case, we can have the distributive property as;
a * ( b + c) = ab + bc
Thus, we can represent 42 as (20 + 22)
so 6 * 42 becomes 6 * (20 + 22)
Using the distributive property, we have
(6 * 20) + (6 * 22)
= 120 + 132 = 252
48 ounces of liquid detergent
for $6.19
Find the unit rate
Answer:
Step-by-step explanation:
48/6.19=7.7544
Round that answer so it’s 7.75
Unit rate is $7.75 per ounce
find the determinant of the following matrix. [2 3] [1. 4]
The determinant of a 2x2 matrix is defined as
[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]
So, in your case, the determinant is
[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]
Given matrix is:
[tex]\begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix}[/tex]As we know that,
→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]
then,
The determinant will be:
= [tex]2\times 4-1\times 3[/tex]
= [tex]8-3[/tex]
= [tex]5[/tex]
Thus the above response is correct.
Learn more about determinant here:
https://brainly.com/question/20333341
please, someone help me
Answer:
the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4
Step-by-step explanation:
Translate the following equation into a verbal sentence: x-6=2(8+x)
A- six less than x is two times the sum of eight and x
B-the difference between 6 and x is two times eight plus
C-six less than xis two times eight plus x
D- the difference between 6 and x is two times the sum of eight and x
Item 8 Starting at 1:00 p.M., the temperature changes −4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach −1°F. An equation is ? =−1. It will take hours to reach −1°F.
Answer:
The answer is "9".
Step-by-step explanation:
Given equation:
[tex]\to 35-4x=-1 \\\\\to 35+1 = 4x\\\\\to 36=4x\\\\\to 4x= 36\\\\\to x=\frac{36}{4}\\\\\to x=9[/tex]
Please Help!!
Simplify the expression (-3i)(-4i)
Answer:
......................................................................................
Step-by-step explanation:
Answer:
i=-12
Step-by-step explanation:
What is a positive infinitesimal quantity?
Answer:
it is a number that is a infinite in its size (infintely big,infintely small, ect.)
Step-by-step explanation:
a great example of this is the number 0
PLEASEEEE HELPPPPPP!
Answer:
We conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
Step-by-step explanation:
Given the equation
x = 2a - b²
Let us solve the equation to solve for 'a'
[tex]x=2a-b^2[/tex]
switching sides
[tex]2a-b^2=x[/tex]
Add b² to both sides
[tex]2a-b^2+b^2=x+b^2[/tex]
Simplify
[tex]2a=x+b^2[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]
Simplify
[tex]a=\frac{x+b^2}{2}[/tex]
Therefore, we conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
A bag of rice weighs 20 kg more than one of sugar. If 50 kg of sugar is added to the second bag, its weight becomes twice that of the bag of rice. Find the weight of the bag of rice
What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?
Answer:
A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]
Step-by-step explanation:
Equation of a Line
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where:
(h,k) is a point through which the line passes.
The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.
Two perpendicular lines with slopes m1 and m2 satisfy the equation:
[tex]m_1m_2=-1[/tex]
We'll find the slope m1 of the given line and then solve the above equation for m2:
[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]
The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]
Now we calculate the second slope:
[tex]\displaystyle m_2=-\frac{1}{2}[/tex]
We use the point-slope form, given the point (6,-7):
[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]
Operating the parentheses:
[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]
Simplifying:
[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]
A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]
Which of the following values could x represent in the bar diagram?
PLEASE HELP!!! Worth 27 points!!
Answer:
$48. is correct answer friend
Step-by-step explanation:
OK please follow me
write and equation of the line below
Answer:
y = 1/4x + 0 or just y = 1/4x
Step-by-step explanation:
First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.
A store charges customers $85 for a video game. This is 170% of what the store paid for the game.
How much did the store pay for the game?
How much money does the store profit (make) off of the sale of a video game?
Answer:
100÷170×85=$50
85-50=$35
Plz help me I really need help
Answer:
it 2 parts away
Step-by-step explanation:
Answer:
(0,0) (20, 10) (40,10) (60,40) (100,0)
A B C D E
Step-by-step explanation:
Which is the following is a solution to the solution to the inequality 2x+y > 0
The money m (in £) Paul has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £160 a week and pays £38 in tax.
Answer:
m = £122
Step-by-step explanation:
m = w - t
Where,
m = money Paul had to spend each week (£)
w = Paul's wage (£)
t = tax paid on his income (£)
If w = £160 and t = £38
Find m
m = w - t
= £160 - £38
= £122
Paul has £122 to spend if he earns £160 a week and pays £38 in tax
there is also a D is its not any just say none so i know its d pls dont joke ima get kicked out the class is i dont do good
Answer:
b
Step-by-step explanation:
son
A florist has 2,550 flowers to make into small bouquets. She wants 6 flowers in each bouquet.
How many bouquets can she make? You may find using Place Value Sections to solve the problem
helpful. Drag and drop each number into the correct box to complete the division.
425 flowers
6
2,550 A
30
-
2400
120
- 30
0
0
30
400
20
5
2400
425
150
Answer:
The answer is 425
Step-by-step explanation:
Place value would be...
400
20
5
or 400+20+5
Sorry I couldn't help too well!
Hope this helps!! Brainliest is appreciated!! Happy Holidays!!!
The mean (average) weight of three dogs is 38 pounds. One of the dogs, Shaggy, weighs
46 pounds. The other two dogs, Eda and Bruno, have the same weight. Find Eda's weight.
HELP PLEASE!!!!! I NEED HELP!!!!!
Answer: it B
Step-by-step explanation: if it wrong sorry and please don't report me
Answer:
17/8
Step-by-step explanation:
¿Por qué la luna no se sale de su órbita y siempre gira en torno a la tierra?
Answer:
El período de rotación de la luna no siempre era igual a su órbita alrededor del planeta. Al igual que la gravedad de la luna afecta las mareas del océano en la Tierra, la gravedad de la Tierra afecta a la luna. Pero debido a que la luna carece de un océano, la Tierra tira de su corteza, creando un maremoto en la línea que apunta hacia la Tierra.
Step-by-step explanation:
Answer:
Porque la gravidad de la tierra es mas fuerte que la gravidad the la luna.
Step-by-step explanation:
I’ll give brainlest to the first one who answer the one my mouse is on it’s not that one!
Answer:
The answer is A
Step-by-step explanation:
Given triangle KLM, KM=24
m
Consider the attached diagram. Segment KO is an altitude of the triangle, so KO ⊥ LM. ∠L has measure 180° -105° -30° = 45°, so ΔKOL is an isosceles right triangle.
If we let segment LO have measure 1, then KO also has measure 1 and KL has measure √(1²+1²) = √2 by the Pythagorean theorem.
ΔKMO is half of an equilateral triangle, so KM has measure 2, and MO has measure √(2²-1²) = √3 by the Pythagorean theorem.
Then the ratio of KM to LM is 2:(1+√3) and the ratio of KL to LM is √2:(1+√3). That is, ...
... KL = LM×(√2)/(1+√3) = (20√3)(√2)/(1 +√3)
... KL = (20√6)/(√3 +1) = (20√6)(√3 -1)/(3 -1) . . . . . with denominator rationalized
... KL = 30√2 -10√6 ≈ 17.9315
and
... KM = LM×2/(1+√3) = KL×√2
... KM = (30√2 -10√6)√2
... KM = 60 -20√3 ≈ 25.3590
== == == == == ==
The Law of Sines tells you ...
... KL/sin(M) = KM/sin(L) = LM/sin(K)
Then ...
... KL = sin(M)·LM/sin(K) = sin(30°)·20√3/sin(105°) ≈ 17.9315
... KM = sin(L)·LM/sin(K) = sin(45°)·20√3/sin(105°) ≈ 25.3590
Answer:
≈ 12 unitsStep-by-step explanation:
Since m∠1 = m∠2, KF is angle bisector of ∠K
In the ΔKFM we have:
∠K = 34°/2 = 17°∠M = 15°∠F = 180° - (17° + 15°) = 148°KM = 24 unitsUsing low of sines:
sin F / KM = sin M / KFsin 148° / 24 = sin 15° / KFKF = 24*sin 15°/ sin 148°KF = 11.72 ≈ 12 unitsWhat is the slope of a line that is perpendicular to a line whose slope is -1/3.
Answer:
3
Step-by-step explanation:
the perpendicular slope is the negative reciprocal.
-1 divided by -1/3 = 3
In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.
How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries?
A
8 ounces
B
12 ounces
C
12.5 ounces
D
20 ounces
Answer:
12.5
Step-by-step explanation:
for people who don't get another quizzez assignment about ratios from their teachers, this question showed & the correct answer was 12.5 Hope this answer somehow helps.
Ounces of yogurt need for 10 ounces of blueberries is 8 ounce
Given that;Ratio of ounces of blueberries to ounces of yogurt = 4:5
Find:Ounces of yogurt need for 10 ounces of blueberries
Computation:Ounces of yogurt need for 10 ounces of blueberries = 10[4 / 5]
Ounces of yogurt need for 10 ounces of blueberries = 2[4]
Ounces of yogurt need for 10 ounces of blueberries = 8 ounce
So, Option "A" is the correct answer to the following question.
Learn more:
https://brainly.com/question/19833884?referrer=searchResults
Can someone plss help
Answer:
it's answer is B. 9/100
A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?
0.706 ounces
0.768 ounces
7.06 ounces
7.68 ounces
Answer:
0.768 would be the amount of pretzels in ounces
Step-by-step explanation:
24% of 32 =0.768
how i got 24%?
24% of 100= 24
feel free to like and give brainliest
Answer:
D
Step-by-step explanation:
jamie is making chocolate cupcakes. the recipe calls for 2/3 cup of cocoa. she wants to make 1/2 of the recipe. how much cocoa will she need?
Answer:
I think its 1/3
Step-by-step explanation: