Write the equation of a line that is perpendicular to y=-2/7x + 9 and that passes through the point (-4,6) [FP]​

Answers

Answer 1

Answer:

$y=(7/2)x+20$

Step-by-step explanation:

SInce the gradient of the first line is $-2/7$ then the gradien of the perpendicular line is $7/2$.

Therefore by the point slope formula the line that we are looking for is

$y-6=(7/2)(x+4)$

$y=(7/2)x + 20$


Related Questions

The Martino family bought 5 movie
tickets and 3 tubs of popcorn for $39.50.
The Chang family bought 3 movie tickets
and 1 tub of popcorn for $20.50. How
much does a tub of popcorn cost?
Please help <3

Answers

Answer:

a tub of popcorn is $4 each

Step-by-step explanation:

ticket $5.50

popcorn $4

Step-by-step explanation:

solving by simultaneous equ

5m+3t =$39.50 .. equ1

3m+t = $20.50.. equ2

by elimination m= $5.50

subt m=$5.50 to get t

t=$4

hence, a tub of popcorn is $4

what should be multiplied with -25/36 to get -5/9​

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{5}{9}}{-\frac{25}{36}}=\\\\-\frac{5}{9}*(-\frac{36}{25})=\\\\\frac{4}{5}[/tex]

work out b(4½-3⅔)+1⅔​

Answers

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Change the mixed numbers to improper fractions

([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6

= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]

= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{15}{6}[/tex]

= [tex]\frac{5}{2}[/tex]

= 2 [tex]\frac{1}{2}[/tex]

1Q _____is neither a prime number nor a composite number
2Q the only even prime number is ______.
3Q A prime number has only_____ factors,______and_______.
4Q _______is the smallest prime number is_____.
5Q there are ______ prime numbers less then 20.

Answers

Answer for 1) One
Answer for 2) Two
Answer for 3) A prime number has only two factors, one and two.
Answer for 4) Two is the smallest prime number [I don’t understand that wording so that’s the best I can come up with]
Answer for 5) There are eight prime numbers less than 20.

write an equivalent expression (x+2)(x-3) by using the distributive property

Answers

Answer:

x(x-6)

Step-by-step explanation:

(x+2)(x-3)

x^2-3x+2x-6

x^2-x-6

x(x-6)

Real answer or you get reported

Answers

Answer:

(4 , 1 , -5)

Step-by-step explanation:

hopefully it is clear and visible...and also understandable

:)

please help me! how much times can 23 go into 1,624 please tell me the quotation and remainder!!:)​

Answers

Answer:

Quotient= 70

Remainder=14

Step-by-step explanation:

Do you need explanation?

Answer:

23 goes into 1,624 70 times

solve my problem plz

Answers

Answer:

A

Step-by-step explanation:

Aruba has the lowest population

It would be 'Aruba has the least population'

Bolivia has an exponet of 7, 7 zeros while Aruba has 5

The Philippines has a population that is a multiple of Aruba, as long as it's not 1 or less it's going to be greater then Aruba

Therefore since both would have more, your true statement would be the first one

if f(x) = 3x+7 find f(x+1)

Answers

Answer:

-3

Step-by-step explanation:

3x +7 =f(x+1)

3x +7=x+1

3x-x=-7+1

2x=-6

-3

24 oz of soda cost 1.29 at that rate how much would you expect 30 oz. of soda to cost?

Answers

Answer:

about $1.60 i think

Step-by-step explanation:

Which Expression is equal to 632?
A. 2⁴(3 x 5³ + 2²)
B. 2³(3 x 5² + 2²)
C. 2³ (3 x 5² + 2⁵)
D. 2⁴(3 x 5⁵ + 2¹⁶)

Plz help meee!

Answers

Answer:

B. 2³(3 x 5² + 2²)

Step-by-step explanation:

2³(3 x 5² + 2²)

Step 1. Simplify the exponents

8(3 x 25 + 4)

Step 2. Multiply 3 and 25

8(75 + 4)

Step 3. Add 75 and 4

8(79)

Step 4. Multiply

632

Answer:

Option B. 2³(3 x 5² + 2²) is correct

Step-by-step explanation:

2³(3 x 5² + 2²)

First of all multiply the exponents

8×(3×25+4)

Then do the multiplication of 3 and 25

8×(75+4)

Now add the following numbers in the bracket

8×(79)

And the last multiply the following numbers

8×79

632

[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]

How many ounces of a 15​% alcohol solution must be mixed with 4 ounces of a 20​% alcohol solution to make a 17​% alcohol​ solution?

Answers

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

Answer:

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Step-by-step explanation:

Let x ounces of 11% alcohol must be mixed with the 2 ounces of 20% alcohol.

The amount of alcohol in 4 ounces solution is=   ounces

                                                             = 0.8 ounces

The amount of alcohol in x ounces  solution is=   ounces

                                                                             = 0.11 x ounces

Total amount of alcohol is = (4+x) ounces

According to the problem,

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Can y’all help me with 17 and 18

Answers

Answer:

17 is 35 degrees and 18 is 43 degrees

Answer:

#17 is 35 degrees

#18 is 43 degrees

Step-by-step explanation:

#17.   90-55 = 35

#18.   90 - 47 = 43

(7 − 2) ⎟ 5 2) (3 + 3)2

Answers

Answer:

it should be 3000..let me know if its correct...

Step-by-step explanation:

I just solved the parenthesis numbers first...then multiplied them altogether and multiplied it with the 2...

if its right, can u plz mark me brqinliest? thnx!

I need to know what is the fraction, 2/5 as a decimal?

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Please help ASAP thank you, see attachment

Answers

Step-by-step explanation:

1)

TV=TU+UV

32=TU+20

TU=32-20

TU=12

2)

As B is between A and C:

AC=AB+BC

AC=16+12

AC=28

Note:if you need to ask any question please let me know.

This one is very hard for me

Answers

15x + 57 ≥ 129

15x ≥ 129 - 57

15x ≥ 72

x ≥ 24/5

x 4.8

Answer:

[tex]x \geqslant 4.8[/tex]

Step-by-step explanation:

[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]

Simplify the expression

Answers

Answer:

Step-by-step explanation:

It might be wrong but i beieve that it is 4 to the 5th multiplied 4 to the 2nd

Answer:

[tex] {8}^{10} \times {8}^{4} \\ = {8}^{14} \\ thank \: you[/tex]

Simplify the expression below:

Answers

Answer:

8x2−6x−5

Step-by-step explanation:

what are the coordinates of point G ,which divides DE un the ratio 2:3?​

Answers

Answer:

(5, 7.8)

Step-by-step explanation:

There are several ways to solve this problem, but all of them involve similar triangles and ratios.

See the attached image.

The horizontal distance between points D and E is 11 - 1 = 10.  If a segment 10 units long is divided in the ratio 2:3 (as shown by the two smaller segments of length  a  and  b), then

[tex]\frac{a}{b}=\frac{2}{3}\\\frac{a}{a+b}=\frac{2}{2+3}\\\frac{a}{10}=\frac{2}{5}[/tex]

"Cross-multiply" to get

5a = 20

a = 4

To get the x-coordinate of point G, add 4 to 1, the x-coordinate of D.

The x-coordinate of G is 1 + 4 = 5.

The same idea can be used on the second coordinate of G.

The vertical distance from D to E is 15 - 3 = 12.

[tex]\frac{a}{b}=\frac{2}{3}\\\frac{a}{a+b}=\frac{2}{2+3}\\\frac{a}{12}=\frac{2}{5}[/tex]

5a = 24

a = 24/5 = 4.8

The y=coordinate of G is 3 + 4.8 = 7.8

Given AB has a midpoint M where At -2, 8) and M(3,-1), find the coordinates of B​

Answers

Answer:

B is (8,-10) because A to M goes down 9 units and to the right 5 units

PLS HELP!! ILL GIVE BRAINLIEST

Round each decimal number to the nearest whole number. Then, select the best estimate for the subtraction equation 6.4 − 4.2 = ___.

1
1.5
2
2.5

Answers

Given

6.4 – 4.2

To Find

Rounding The Number To Nearest Whole Number of their difference.

Solution

6.4 – 4.2 = 2.2

Rounding 2.2 to nearest whole number will give = 2

So Your Answer is Option C- 2

Hope This Helps You

Round the number 2.2 nearest whole number will be 2. Then the correct option is C.

What is the rounding of a number?

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The decimal number is given below.

⇒ 6.4 − 4.2

⇒ 2.2

Round the number 2.2 to the nearest whole number.

If the decimal number is more than 0.5, then the ones place after the decimal will be increased by one.

In the decimal number is 2, then the ones place number 2 remains the same as 2.

Round the number 2.2 nearest whole number will be 2. Then the correct option is C.

More about the rounding of a number link is given below.

https://brainly.com/question/19031319

#SPJ2

pleaseeeee helpppp!!

Answers

Answer:

something

Step-by-step explanation:

I JUST NEED POINTS TO ASK QUESTIONS

Tengo (3×-2y) soles ahorrados trabaje una semana y octube (5×+7y) el fin de semana gaste (5y) soles con cuanto soles me quede?

Answers

Answer:

creo que la respuesta es 34y

Step-by-step explanation:

Which number line shows the solution to -4-(-1)?
О
4
-3
2
0
1
2
3
4
5
K
O
4
-3
-2
-1
o
1
2
3
O
-5
3
-2
.1
1
2
3
4
о
2
0
1 2
3

Answers

Answer:

Your answer is -3

Step-by-step explanation:

-4-(-1)

-4+1

-3

Mark me brainlist

The number line is attached in the solution.

What is number line?

In math, a number line is a horizontal straight line with numbers placed at equal distances from each other along that line.

A number line is a pictorial representation of numbers on a straight line. It's a reference for comparing and ordering numbers.

Given is an expression, -4-(-1), we need to plot its solution on the number line,

So,

-4-(-1)

Opening the brackets,

= -4+1    [∵ (-) × (-) = +]

= -3

Plotting -3 in the number line, it will be put 3 units left from zero in the number line,

We put negatives number on the left side and the positive numbers on the right side of zero, in the number line,

For example, we are asked to put 7 in the number line, we will count 7 units to the right of zero in the number line, and suppose if we are asked to plot -6, then we will count 6 units to the left of zero in the number line.

The number line is extended from -∞ to +∞

Learn more about number lines, click;

https://brainly.com/question/16191404

#SPJ7

find the 50th term of 0,3,6,9

Answers

[tex]\text{a}_1=0 \ \text{and} \ \text{a}_2=3\\\\\text{r}=\text{a}_2-\text{a}_1=3-0=3\\\\\text{a}_{50}=\text{a}_1+49\text{r}=0+49\cdot3=0+147=147\\\\\huge\boxed{\text{a}_{50}=147}[/tex]

Name the figure below in two different ways.

Answers

Answer: MUV OR VUM

Step-by-step explanation:

It is a line so anyway you name it is fine as lomg as its in it's respected order.

Answer:

Symbol=line

It has 3 points

it's got letters at the points

Brainiest plz I need help asap

Answers

Answer:

2: B*W=A (Answers)

Step-by-step explanation:

A: A meter of rope should cost $0.8 or 80 cents.

B: It should be 1.20 meters.

evaluate def² if d= -4, e= 5, and f= -9​

Answers

Answer:

1620

Step-by-step explanation:

Please make me brainlist

What is the measure of AngleDCF?
19pts

Answers

Answer:

129 degrees.

Step-by-step explanation:

You can see that DCF is a combination of angles DCE and ECF which is 75 and 54. 75+54 would give you 129 degrees.

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