4. Misty drew trapezoid FGHK with the vertices F(-3, 2), G(-3, 6), H( 1, 4) and K(1,2). She also drew

The area of a rectangle is 100 square

Nikitich [7]

Answer:

l = 100 / 8

Step-by-step explanation:

The standard formula for calculating area is bh = a.

Plug in 8 for our width.

8l = 100

Divide 8 on both sides.

l = 100 / 8.

7 0

2 years ago

When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation

IgorLugansk [536]

<h3>Answer:-</h3>

Lets Solve

$\\ \rm \longmapsto \: {x}^{2} - 8x - 7 = 0 \\ \\ \rm \longmapsto \: {x}^{2} - 8 {}^{}x = 7 \\ \\ \rm \longmapsto \: 4( {x}^{2} - 8x) = 4 \times 7 \\ \\ \rm \longmapsto \: {4x}^{2} - 32x = 28 \\ \\ \rm \longmapsto \: {(2x)}^{2} - 2 \times 2x \times 8 = 28 \\ \\ \rm \longmapsto \: (2x) {}^{2} - 2 \times 2x \times 8 + {8}^{2} = 28 + {8}^{2} \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 64 + 28 \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 92 \\ \\ \rm \longmapsto \: 2x - 8 = \underline{ + }9.3 \\ \\ \rm \longmapsto \:2x = 8 + 9.3 \: or \: 8 - 9.3 \\ \\ \rm \longmapsto \:2x = 17.3 \:or \: - 1.3 \\ \\ \rm \longmapsto \:2x = 17.3 \\ \\ \rm \longmapsto \:x = \frac{17.3}{2} \\ \\ \rm \longmapsto x = \:8.6$

Ignore negative value

4 0

3 years ago

A total of $10,000 is invested in two mutual funds. The first account yields 5% and the second account yields 6%. How much was i

Aleks [24]

Answer:

$2,500 was invested in the first account while $7,500 was invested in the second account

Step-by-step explanation:

Here in this question, we want to find the amount which was invested in each of the accounts, given their individual interest rates and the total amount that was accorded as interest from the two investments

Now, since we do not know the amount invested , we shall be representing them with variables.

Let the amount invested in the first account be $x and the amount invested in the second account be $y

Since the total amount invested is $10,000, this means that the summation of both gives $10,000

Mathematically;

x + y = 10,000 ••••••(i)

now for the $x, we have an interest rate of 5%

This mathematically translates to an interest value of 5/100 * x = 5x/100

For the $y, we have an interest rate of 6% and this mathematically translates to a value of 6/100 * y= 6y/100

The addition of both interests, gives 575

Thus mathematically;

5x/100 + 6y/100 = 575

Multiplying through by 100, we have

5x + 6y = 57500 •••••••••(ii)

From 1, we can have x = 10,000-y

let’s substitute this into equation ii

5(10,000-y) + 6y = 57500

50,000-5y + 6y = 57500

50,000 + y = 57500

y = 57500-50,000

y = 7,500

Recall;

x = 10,000-y

so we have;

x = 10,000-7500 = 2,500

3 0

3 years ago

What is the slope of each line? Line A: y = one-half x minus 4 Line B: y = 2 x minus 3 The slope of line A Equals one-half. The

Anestetic [448]

Answer:

The slope of line A equals one-half. The slope of line B equals 2.

Step-by-step explanation:

The equation of Line A is given by : $y = \frac{1}{2} x - 4$ ........... (1)

The equation of Line B is given by : y = 2x - 3 ............. (2)

Those two equations are in slope-intercept form i.e. y = mx + c, where m is the slope of the line.

Now, the slope of line A equals one-half. The slope of line B equals 2.

Therefore, option 1 will be correct. (Answer)

5 0

3 years ago

Read 2 more answers

Isabelle has 27 cough drops. She divides them evenly between

Flauer [41]

Answer:5

Step-by-step explanation:

27/3=9 divided between herself and 2 friends

9-4=5 she eats 4

5 0

2 years ago