If the point (a,1) lies on the line y = 3x - 5, what is the value of a?

Answer:

C

Step-by-step explanation:

Answer:

The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)

The vector v (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.

The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is

r (t ) = p + t v

r (t ) = (-4, 5, 2) + t (-6, 6, -5)

r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )

To get the parametric equations, simply take out the components:

x (t ) = -4 - 6t

y (t ) = 5 + 6t

z (t ) = 2 - 5t

Answer:

D

Step-by-step explanation:

-4 x 3/2 = -12/2; which equals -6

so -6x.

-4 x -1/2 = 4/2; which equals 2

This means that:

-6x + 2 = 15; so 'D' is the answer

Answer:

D

Step-by-step explanation:

The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.

Answer:

The answer is sandy

Step-by-step explanation:

18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon

hope this helped <3

Answer:use a calculator

Step-by-step explanation:

The unit rate for a proportional relationship is y = 6x.

The proportional relationship, can be find by the formula,

y = kx.........................1

Where,

X- position at X- cordinate= 1

Y - position at Y- coordinate = 6

k - constant of proportionality

put the values in the equation,

6 = k1

k = 6

Put the value of k into equation 1,

y = 6x

Therefore, the unit rate for a proportional relationship is y = 6x.

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Answer:

4 times

Step-by-step explanation:

Answer:

4.8333333 or 4 5/6 times

Step-by-step explanation:

29/6 = 4.83333333

Answer:

0.9%

Step-by-step explanation:

To find the percentage increase, you can use the following formula:

Percentage change= ((Final price-Initial price)/Initial price)*100

Initial price= $9.53

Final price= $9.62

Variation= ((9.62-9.53)/9.53)*100

Variation= 0.9%

According to this, the percentage increase is 0.9%.

Answer:

The scale factor to transform DEF to D'E'F' is 1/2

Step-by-step explanation:

DEF is

D(-8, 6), E(-8, 14), F(2, 3)

D'(-3, 6), E'(-3, 10), F'(2, 4.5)

Therefore;

DE = √((-8-(-8))²+(6-14)²) = 8

D'E' = √((-3 -(-3))² + (6 - 10)²) = 4

Similarly,

EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221

E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2

Also

DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109

D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2

Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2

That is the scale factor of DEF to D'E'F'  = 1/2.

Answer:

Angle BEA

Step-by-step explanation:

They share the same straight line and their degrees add to 180

Hello!

[tex]\boxed{ \bf w~=~4}[/tex]

________________________________________________

7(w + 9) = 91

First, we must multiply everything in the brackets by 7.

= 7(w) + 7(9) = 91

= 7w + 63 = 91

Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.

= 7w + 63 = 91

         - 63   - 63

7w = 28

Since w is being multiplied, we'll have to perform the opposite operation (which is division).

[tex]\frac{7w}{7} = \frac{28}{7}[/tex]

w = 4

The right answer is 4.

look at the attached picture

Hope it will be helpful to you..

Answer:

4k + 6

Step-by-step explanation:

Answer:

11 cm

Step-by-step explanation:

The strip of paper is 66 cm and it is folded into 6 different parts. It is used to form a model of a honeycomb cell.

To find the length of one side of the model, all we have to do is divide 66 cm by 6. That is:

66 / 6 = 11 cm

The length of one side of the model is 11 cm.

The quadratic has one root with multiplicity 2 if the discriminant is 0, which is

[tex](2m+4)^2-4(4-m)(8m+1)[/tex]

(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)

Set the discriminant equal to 0 and solve for [tex]m[/tex]:

[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]

[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]

[tex]36m^2-108=0[/tex]

[tex]36m(m-3)=0[/tex]

[tex]\implies m=0\text{ or }m=3[/tex]

Answer:

1.2 units

Step-by-step explanation:

2.6(d + 1.4) - 2.3d = 4

2.6d + 3.64 - 2.3d = 4

0.3d + 3.64 = 4

0.3d = 0.36

d = 1.2

Answer:

B) 9 cm

Step-by-step explanation:

Just look at the triangle and use Pythagoras theoreum.

a² + b² = c²

a = 9 9 - 4.9 = 5

b = ?

c = 10

5² + b² = 10²

b² = 100 - 25

b² = 75

b = + - SQRT( 75 )

{Only the positive term has a meaning here.}

b = 8.66 rounded that is 9, which is answer B.

Answer:

G. Oatmeal is the favorite type of cereal for 15% of the children

Step-by-step explanation:

Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)

Multiplying a negative number by a negative number will give you a positive product.

When multiplying two negative integers, it comes out as positive.

For example, we are given the equation -4 * -4.

Using the rule [ -(-a) = a ], the answer for the equation is 16.

Best of Luck!

Answer:

324

Step-by-step explanation:

A number is a perfect square when there are two factors that are identical to one another. 324 is a perfect square since its two identical factors are 18 and 18.

Answer:

324

Step-by-step explanation:

18*18. Hope that helped, vote, thanks, brainliest ;)

Have a great day!

Answer:

sorry dont know

Step-by-step explanation:

good luck tho

\

f(x) = 0.5x-1.5x+1

4x<-1

-1 ≤ x ≤ 3

x < 3

Answer:

[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]

And we can find the probability of interest with this difference

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]

And if we use the normal standard table or excel we got:

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]

And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %

Step-by-step explanation:

Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(41,3)[/tex]  

Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]

We are interested on this probability

[tex]P(33<X<35)[/tex]

And we can solve the problem using the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And using this formula we got:

[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]

And we can find the probability of interest with this difference

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]

And if we use the normal standard table or excel we got:

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]

And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %

Answer:

5.(345)=1,780/333

Step-by-step explanation:

5.(345)=(5,345-5)/999=5,340/999=1,780/333

The fraction corresponds to given decimal is 1780/333.

What is fraction form?

A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.

Let x=5.345

The repeating number is 345

Multiply both sides by 1000

1000x=5345.345

Subtract x=5.345 from the obtained equation,

999x=5340

Solve for x,

x=5340/999

x=1780/333

Therefore, the fraction corresponds to given decimal is 1780/333.

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Answer:

Integer; - 12

Step-by-step explanation:

If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;

At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;

Answer; - 12

Answer:

a²+b²=c²

Step-by-step explanation:

a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse

Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3

Answer:

20 %

Step-by-step explanation:

$10/100%    $2/?

10/ what to get 2 so you do 10/5=2 so 100/5= 20.

Answer:

1.47070788E36

Step-by-step explanation:

Answer: (2,4) They bought 2 sodas and 4 coffees.

Step-by-step explanation:

A. c + s=6  where c is the number of coffee and s is the number of sodas

B. 1.50c + 1.20s =8.40

C. -1.50 (c    +  s) =6(-1.50)   we will multiply the first equation by -1.50 to eliminate the c

 New equation;  -1.50 - 1.50s = -9         -0.3s/-0.3=-0.6/-0.3  s=2  

                            -150 +  1.20s = 8.40          

So we know they bought 2 sodas.   so we will plot 2 into the equation.

1.50c  + 1.20(2)=8.40   c= 4  

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45