the diagram shows a triangle 3x-1,3x and 4x-1. The perimeter of the triangle is 70 cm. The area of the triangle is a^2 cm. What is the value of a?

Answer:

DHGB

Step-by-step explanation:

Let's start with 1.  

The equation is in standard form (ax+by=c): -4x+2y=8

we'll put it into slope intercept form.

Add 4x onto both sides

2y=4x+8

divide by 2

y=2x+4

Parallel lines have the same slope, but a different y intercept. (the line parallel to this one will have a slope of 2 but a y intercept different from +4)

Looking at the answer choices, the only choice with a slope of 2 is D (y=2x-5)

So the answer to 1  is D

Now 2.

we're given 3 points. One of the points crosses the y axis, which is the y intercept. In this case, the line crosses the point (0,3)

That means the y intercept of the line is (0,3)

here's the line so far:

y=mx+3 (m is a placeholder for the slope)

when given a graph, we can use rise/run. Starting from the point (3,2), we can move 3 spaces to the left, and one up.

In a graph, if you move to the left or downwards, it's a negative move. If you move up or to the right, it's a positive move.

Since we went 1 space up (rise) and 3 spaces to the left, (run) the slope is -1/3

So the line is y=-1/3x+3

Perpendicular lines are negative and reciprocal. If you multiply their slopes, they will equal -1. Their y intercepts don't matter at all.

So to find the slope, we can use this equation.

-1/3m=-1

multiply by -3 on both sides

m=3

Looking at the answer choices, H is the only answer with a slope of 3. So the answer to 2 is H.

Now, 3

You can do the graph method like above for 2, but I'll just calculate the slope.

We're given two points, (-1,-2) and (0,2)

the formula for slope is (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=-2

x2=0

y2=2

now, substitute into the equation.

m=(2--2)/(0--1)

m=4/1

the slope is 4.

Now let's use point slope form, which is y-y1=m(x-x1)

once again, sub. into the equation.

y+2=4(x+1)

do distributive prop

y+2=4x+4

subtract by 2

y=4x+2

As said above, parallel lines have the same slope.

Looking at the answer options, G also has the slope of 4

so the answer to 3 is G

Finally, #4

Equation: 3x+y=1

subtract 3x from both sides

y=-3x+1

As said above, perpendicular lines have slopes that multiply to equal -1.

-3m=-1

multiply by -1/3

m=1/3

so the slope of the line will be 1/3.

Looking at the answer options, B also has a slope of 1/3.

So the answer to 4 is B

The code is DHGB

Hope this helps!

Answer:

I think the answer to the question is C

Answer:

A

Step-by-step explanation:

The sign means that x is smaller than 3. There is no need for the line underneath since the dot is not filled in.

Answer:

96

Step-by-step explanation:

First we can express in numbers how many students are freshman :

(28:100)=0.28 (percent into integer)

Then we multiply this number with 1600

1600*0.28=448 (this is the number of freshman)

Now we do it again with the number of juniors

(22:100)=0.22

1600*0.22= 352

Now we only subtraction these two numbers

448-352= 96

So we now know that there is 96 more freshmens than juniors

Answer:

1over1 because it goes up by 1 and right by 1. u welcome

Answer:

JD is wrong.

Although, the volume of the cube shaped box V' = 421.88 in³  > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.

Step-by-step explanation:

The sphere would only fit into the cube shaped box if its diameter is less than the length of side of the cube L = 7.5 inches.

So, diameter of sphere d = 2r where r = radius of sphere = 4 inches. Thus, d = 2r = 2(4 in) = 8 in.

Since the diameter of the sphere d = 8 inches > length of side of the cube = 7.5 inches, the sphere would not fit into the box.

So, JD is wrong.

We calculate both the volume of the sphere and cube.

Volume of a sphere V = 4πr³/3 where r = radius of sphere = 4 inches

So, V = 4πr³/3

= 4π(4 in)³/3

= 4π(64) in³/3

= 256π in³/3

= 804.25 in³/3

= 268.1 in³

Volume of a cube V' = L³ where L = length of side of cube = 7.5 inches

So, V' = L³

= (7.5 in)³

= 421.88 in³  

Although, the volume of the cube shaped box V' = 421.88 in³  > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.

Answer: 3:30 per gallon

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

_______Y=0.75X-2_______

Answer:

This applies to ANY Equation

Step-by-step explanation:

Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants.

Answer:

A choice.

Step-by-step explanation:

Irrational number is a number that cannot be written in a fraction form. All square roots are classified as an Irrational number unless can be evaluated to Rational number.

From A choice, you cannot evaluate the square root of 7 into any rational number. Therefore, it is an Irrational number.

B choice, even though there is a square root, but you can still evaluate from square root of 4 to 2.

For C and D, both are integers. Integers are classified to be Rational Number. Therefore, C and D both are rational.

Answer:

The honey bee would go 38.85 feet if it was traveling at 10.5 feet per second for 3.7 seconds

Step-by-step explanation:

Take the speed the bee is flying (10.5) and times it by the time (3.7) and you get 38.85 which is the answer. 38.85 feet

Answer:

6 pieces

Step-by-step explanation:

Total pieces of art = 120

He puts 5% of them in an art show

How many pieces of art dose Jason put in the art show ?

pieces of art dose Jason put in the art show = 5% of 120

= 5/100 × 120

= 0.05 × 120

= 6

Therefore, Jason put 6 pieces of art dose in the art show

Answer:

Slope: -1/2

Y-Intercept: (0,-3)

Step-by-step explanation:

y=mx + b

m is the slope, b is the y-intercept

Answer:

19.3 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle B = 71°

Adjacent = 6.3 cm

Hypothenus = BC =?

The length BC can be obtained by using cosine ratio. This is illustrated below:

Cos B = Adjacent / Hypothenus

Cos 71 = 6.3 / BC

0.3256 = 6.3 / BC

Cross multiply

0.3256 × BC = 6.3

Divide both side by 0.3256

BC = 6.3 / 0.3256

BC = 19.3 cm

Thus, Lenght of side BC is 19.3 cm

Answer:

Step-by-step explanation:

This is estimated, so I would draw a line-of-best-fit.

You need a point with a Y of 1800, so it would be located around halfway the two upper-points

It looks to be about 10C, but I'm in USA so I use bad Fahrenheit D:

Answer:   $ 4860

Step-by-step explanation:

Formula : Amount = P (1+rt) , P = principal value , r= rate of interest , t= time

Given ; P= $4500  , r =  4% = 0.04 , t = 2years

Total amount we will have to pay back to the bank = [tex]4500(1+0.04\times 2)[/tex]

[tex]=4500(1+0.08)\\\\=4500(1.08)\\\\=\$ 4860[/tex]

Hence, the total amount we will have to pay back to the bank = $ 4860

Answer

The tool set costs $68 during the sale this week.

Explanation

We know that...

Normally the tool set costs $80.

During the sale, the tool set costs $12 less than usual.

So you should subtract to find the cost of the tool set during the sale.

80-12=68

So the tool set would cost $68 during the sale.

Answer:

I believe the answer would be A.

Step-by-step explanation:

A says 6 x h is 54.

            ^    ^      ^

            important!

6 is the number of hours.

h is how much money made per hour.

54 is the total after working 6 hours.

Answer:

hjyuojhgfdsa

Step-by-step explanation:

Answer:

the answer is 313

Step-by-step explanation:

Answer: 6 in.

Step-by-step explanation:

Hope this helped! :)

Answer:

6 ft

Step-by-step explanation:

The cube root of 216 is 6. So 6x6x6 = 216. A cube has all equal sides resulting in the length, 6 ft.

Answer:

Ratios to roses to lilies....6:9

Reduced.....2:3

Step-by-step explanation:

Pretty simple doesn't need explaining

Given:

The triangle PQR on a coordinate plane.

To find:

The image of point Q after a rotation of 90° counterclockwise about the origin.

Solution:

From the given graph, it is clear that the coordinates of point Q are (5,0).

If the figure is rotated 90° counterclockwise about the origin, then the rule of rotation is defined as

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]Q(5,0)\to Q'(-(0),5)[/tex]

[tex]Q(5,0)\to Q'(0,5)[/tex]

So, the image of point Q is (0,5).

Therefore, the correct option is (a).

Answer:

kinetic

Step-by-step explanation:

it is using the energy

Answer: B. kinetic energy

Step-by-step explanation: i think this because kinetic energy is the spped of something for example a ball rolling down a hill is kinetic energy

Answer:

[tex]12 < 8 + x \\ 12 - 8 < x \\ 4 < x \\ \boxed{ x > 4}✓[/tex]

Answer:

-8/5

Step-by-step explanation: