The line passing through (-3 , -6) and (d, -5d) has a gradient of -3.

Find the value of d.

Answers

Answer 1

Answer:

d = 7.5

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (d, - 5d)

m = [tex]\frac{-5d+6}{d+3}[/tex] = - 3 ( multiply both sides by (d + 3) )

- 5d + 6 = - 3(d + 3)

- 5d + 6 = - 3d - 9 ( add 3d to both sides )

- 2d + 6 = - 9 ( subtract 6 from both sides )

- 2d = - 15 ( divide both sides by - 2 )

d = 7.5

Answer 2
Answer is the picture
The Line Passing Through (-3 , -6) And (d, -5d) Has A Gradient Of -3.Find The Value Of D.

Related Questions

Ashley has 5 liters of punch. Megan has 4,700 milliliters of punch. Who has more punch?

Answers

Ashley. 5 liters=5000milileters. 4,700 milileters=4.7 liters

A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less than 5 in a single spin?

Answers

Answer:

2

Step-by-step explanation:

Count the spins

I need help with this . Please show workings.

1.A worker has painted ⅔ of a house. What percentage of the house has not been painted?

2. A manager salary of 600 is increased by 12½% .What is his new salary?​

Answers

Answer:

1. 33.3333(repeating)%

2. $675

Step-by-step explanation:

2/3 = 0.6666(repeating)7

1 - 2/3 = 0.33333333333333333333333333333333333333333333333333333

2. 600 * 1.12½ (divide fractions to quickly convert them to decimals) = 675

What is
as a percent?
20%
35%
6%
60%

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:


A quadrilateral in the coordinate plane has vertices (3, 2), (3,-4), (5,4), and (5,-2). What is the area, in square units, of the quadrilateral?

Answers

Answer:

4 square units

Step-by-step explanation:

the distance between (3, -4) and (5, -4) is 2, and the distance between (3, -2) and (5, -2) is also 2. since its a quadrilateral do 2x2 and you get 4.

If z = -7, what is the value of (-8z) - z?

Answers

Answer:

63

Step-by-step explanation:

you will plug in -7 for both z's

(-8(-7) - (-7)

following PEMDAS you will do multiplication first

(-8(-7) = 56

now we have 56 - (-7)

since - and - make a positive it will be

56 + 7 = 63

Find the area of this hexagon

Answers

The area is: 584.57 in ²

dos hermanos tienen una cuenta de ahorros de s/1920 lo que le corresponde al hermano mayor es 6 veces mas de lo que le corressponde al hermano menor mas un adicion de s/72 ¿ cuanto le corresponde alk hermano mayor

Answers

Answer:

le corresponde s/1656

Step-by-step explanation:

espero y te ayude

in the diagram the measures of angle 1 and 4 is 100 the measure of 5 and 8 are 110 are c and d parallel

Answers

Answer:

no,because <1 and <5 are not congruent

Step-by-step explanation:

i did the test yw

The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure

Answers

Answer:

5

Step-by-step explanation:

it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math

Simplify the expression. Write your answer as a power.
(-4).(-4)
The simplified expression is

Answers

Answer:

(-4).(-4) = 4^2

Step-by-step explanation:

First, some rules that we need to remember:

if A is a positive number, then:

-A = (-1)*A

Also:

A*A = A^2

We also should remember that we can multiplicate in any order we want, this is:

A*B*C = (A*B)*C = A*(B*C)

And we also can change the order of the numbers:

A*B = B*A

And finally, we need to remember the sign rules for multiplication.

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

Ok, now let's look at our expression.

(-4)*(-4)

First, we can rewrite this as:

( (-1)*4)*((-1)*4)

And we can rearrange the numbers to:

(-1)*(-1)*4*4

Now let's multiplicate the first two ones, because of the sign rule, we know that the outcome will be positive, and 1 times 1 is equal to 1,

(-1)*(-1) = 1

Then:

(-1)*(-1)*4*4 = 1*4*4 = 4*4

And we know that when a number is multiplied by itself we can rewrite it as:

4*4 = 4^2

Then:

(-4).(-4) = 4^2

The simplified expression is 4^2

Help plz I will give brainliest

Answers

Answer:

i think that it is C

Step-by-step explanation:

if im incorrect i apologize

PLease help with this

Answers

Answer:

huh

Step-by-step explanation:

Diragio Lawn Care cuts lawns every week. Each lawn uses 34 of a tank of gas when it is cut (on average). How much gas is used if 10 lawns are cut in one week? Choose two answers that represent the solution.

Answers

Answer:

7.5 tank oil will be used

Step-by-step explanation:

Amount of gas used to cut one lawn (on an average) = 3/4 of a tak

Given ,

In a week , ten such lawns are cut

Hence, Total amount of gas used

= 3/4* 10

= 7.5 tank

The circumference of a circular field is 191.54 yards. What is the radius of the field? Use 3.14 for Pi and do not round your answer.

Answers

Answer:

C = 2πr

191.64 = 2 × 3.14 × r

r = 191.64/6.28

r = 30.51 yds

Express 9.08 as a fraction in its simplest form

Answers

Answer:

[tex]9\frac{2}{25}[/tex]

Step-by-step explanation:

What is the value of log4 2?​

Answers

Answer:

1/2

Step-by-step explanation:

type it into the calculator

The value of logarithm log base 4(2 is 1/2.

What is Logarithm?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

Rewrite as an equation.

log base 4(2)=x

and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b  are positive real then

log (base b) x= y equivalent to [tex]b^y[/tex] = x

Create expressions in the equation that all have equal bases.

log base 4(2)=x

[tex](2^2)^x[/tex] = 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2x = 1

x= 1/2.

Learn more about Logarithm here:

https://brainly.com/question/30085872

#SPJ5

In a class, everyone studies French or German, but not both languages. One third of the girls and the same number of boys study German. Twice as many boys as girls study French. Which of the total number of boys and girls in my class

Answers

Answer:

32

Step-by-step explanation:

Let the number of girls in the class be 3. Then the number of girls who study German is , as is

the number of boys who study German. So the number of girls who study French is 2 and the

number of boys who study French is 2 × 2 = 4.

Therefore the total number of boys and girls in the class is + + 2 + 4 = 8 and hence is a

multiple of 8. Of the options, only 32 is divisible by 8.

Can someone please help me with math.

Answers

Answer:

A. B.

Step-by-step explanation:

The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?

Answers

Answer:

x^87

Step-by-step explanation:

Multiplying x^22 and x^7 results in x^29.

Then we have:

(x^29)^3 = x^87

Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)

if a half a gallon of milk costs $1.24 then whats the cost per pint?

Answers

Answer:

Step-by-step explanation:

It costs . 31 cents for 1 pint of milk.

Answer:

1 pint would be ($1.25/4 pints) = $0.31

Step-by-step explanation:

There are eight pints in a US gallon, and thus four in half a gallon.

That comes to four pints of milk.

That's $1.24/(half gallon), or $2.48/gallon.

Since half a gallon (4 pints) is $1.25, 1 pint would be ($1.25/4 pints) = $0.31


Sam can make 15 pizzas in 2.5 hours. At this rate, how many could he make in an 8 hour work day? What is Sam´s rate per hour?

A copy machine makes 45 copies in 25 second. Find the unit rate of copied per second.

A sign in a store says 3 pens for $2.70. How much would 10 pens cost?

What is the unit price of 10 pounds of potatoes that cost $2.80?

Answers

Answer:

1) Sam makes 48 pizzas in 8 hours. Sam makes 6 pizzas per hour.

2) The machine makes 1.8 copies per second.

3) 10 pens cost $9.00

4) $0.28

Step-by-step explanation:

1)

[tex]\frac{15}{2.5} =\frac{x}{8} \\\\2.5x=120\\x=48[/tex]

[tex]\frac{15}{2.5} =\frac{x}{1} \\\\2.5x=15\\x=6[/tex]

2)

[tex]\frac{45}{25} =\frac{x}{1} \\\\25x=45\\x=1.8[/tex]

3)

[tex]\frac{3}{2.7} =\frac{10}{x} \\\\3x=27\\x=9[/tex]

4)

2.8/10 = 0.28

In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th

Answers

Answer:

618.2203≈618.22

Step-by-step explanation:

618.2203≈618.22

A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number

Answers

Answer:

20400

Step-by-step explanation:

2.) Find the volume of the prism. V=Bh*
1 point
4 cm
B= 176 cm?
A. 704 cubic cm
B. 180 cubic cm
O D. 408 cubic cm



Please find the answer ASAP! Thanks!

Answers

Answer:

704cm³

Step-by-step explanation:

v=bh

v=176*4

v=704

PLEASE HELP AND HURRY!!!!!

A square playground is covered with pebbles, except for two equal size triangular portions that have grass. How many square feet do the pebbles cover?
7ft
14ft

Answers

Answer:28\2

Step-by-step explanation:

7+7=14

7+7=14

14+14=28

Triangle A=1\2bh

So 28\2

The pebbles cover an area of 147 sq ft. We can use the Pythagorean theorem to find the solution.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Now, Let's call the length of the third side of the triangle "x".

Since the two triangles are equal in size, and they share two sides with the square, we can use the Pythagorean theorem to find x.

a² + b² = c²

7² + 7² = c²

49 + 49 = c²

98 = c²

c = √(98)

c = 7 √(2)

So, each triangle has a base of 7 ft and a height of 7 √(2) ft.

And, Area of each triangle = (base × height) / 2

                                          = (7 × 7√(2)) / 2

                                          = 24.5 ft²

Since, there are two triangles,

Hence, the total area of the grass is,

⇒ 24.5 sq ft × 2 = 49 sq ft

Hence, The square has an area of,

⇒  14ft × 14ft = 196 sq ft

So, The pebbles cover an area of,

⇒ 196 sq ft - 49 sq ft = 147 sq ft.

Learn more about Pythagorean theorem here: brainly.com/question/14930619

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People use water to cook, clean, and drink every day. An estimate of 15.5% of the water used each
day is for cooking. If a family uses 68.2 gallons of water a day for cooking, how many gallons do they use every day?

Answers

Answer:

260 gallons

Step-by-step explanation:

An estimate of 26.5​% of the water used each day is for cleaning and a family uses 68.9 gallons of water a day for cleaning​,

Percentage of water used for cleaning= 26.5%

Gallons of water used for cleaning= 68.9

Let the number of gallons used everyday be represented by g. This will give:

26.5% of g = 68.9

26.5/100 × g = 68.9

0.265 × g = 68.9

0.265g = 68.9

Divide both side by 0.265

0.265g/0.265 = 68.9/0.265

g= 260

260 gallons of water are used everyday

Bob and his friends went out to lunch.
• They bought 3 sandwiches and 3 bottles of water.
The bottles of water cost $1.50 each.
• The total bill was $30.00.
How much does one sandwich cost if they cost the same amount?

Answers

Answer:

Each sandwich cost 8:50

Step-by-step explanation:

total 30$

total price of the waters 4:50

30-4:50=25:50

25:50÷3=8:50

ylan can run a mile in 9.5 minutes. Over the next 6 months, he wants reduce his time so he can run a mile in 8 minutes or less, Which equality can Dylan use to find t, the amount of time he must cut each honth to reach his goal?​

Answers

Answer:

So I never really knew you

God, I really tried to

Blindsided, addicted

Felt we could really do this

But really I was foolish

Hindsight, it's obvious

Step-by-step explanation:

Please help me. I will mark brainlest
NO LINKS OR I WILL REPORT
Thank you!

Answers

Answer:

2nd and 3rd

Step-by-step explanation:

2x+1: Term 1: 2x Term 2: +1

1-1/4x: Term 1: 1 Term 2: -1/4x

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