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3 years ago

Which is the equation, in slope-intercept form, of a line with slope -2 and passes through (-1, 3)?

Mathematics

1 answer:

Fed [463]3 years ago

6 0

Answer:

y - 3 = -2(x + 1)

y - 3 = -2x - 2

y = -2x + 1

Step-by-step explanation:

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Please help. PS. It isn't 1

Butoxors [25]

Answer:

-7

Step-by-step explanation:

6^2=36 36/4=9 so 5-9=-4 minus 3 = -7

7 0

3 years ago

Read 2 more answers

Multiply the radical expression

soldi70 [24.7K]

Answer:

Step-by-step explanation:

(√x + √3)(√x + 2√3) = (√x)² + 3√3√x + 2(√3)² = x + 3√(3x) + 6

4 0

3 years ago

I could use some more help

kherson [118]

Answer:

$\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]$

Step-by-step explanation:

Given

$A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]$

$B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]$

Required

2A - 4B

To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4

So, if

$A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]$

$2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]$

$2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right]$

$B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]$

then

$4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]$

$4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right]$

So; 2A - 4B becomes

$\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right]$

$\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right]$

$\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right]$

$\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]$

Hence, 2A - 4B is equivalent to

$\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]$

3 0

3 years ago

Tim's bean sprout grew 3/ inches. Teegan's bean sprout grew 2 3/4 inches. How many more inches did Tim's bean sprout grow than T

ki77a [65]

Answer:

Tim's bean sprout grow by more than $\frac{5}{8} \text{ inches}$ .

Step-by-step explanation:

We are given that Tim's bean sprout grew 3 3/8 inches. Teegan's bean sprout grew 2 3/4 inches.

We have to find how many more inches did Tim's bean sprout grow than Teegan's.

Firstly, converting both the mixed fractions in improper fraction get;

Tim's bean sprout grew = $3\frac{3}{8}$ = $\frac{27}{8} \text{ inches}$

Teegan's bean sprout grew = $2\frac{3}{4}$ = $\frac{11}{4} \text{ inches}$

Since the denominator of both the fractions is not the same, so we can't compare them both as which is larger or smaller.

Tim's bean sprout grew = $\frac{27\times 1}{8\times 1} = \frac{27}{8} \text{ inches}$

Teegan's bean sprout grew = $\frac{11 \times 2}{4\times 2}=\frac{22}{8} \text{ inches}$

Now, we can clearly see that Tim's bean sprout grew more than Teegan's bean sprout.

So, Tim's bean sprout grow by more than = $\frac{27}{8}- \frac{22}{8}$ = $\frac{5}{8} \text{ inches}$

Hence, Tim's bean sprout grow by more than $\frac{5}{8} \text{ inches}$ .

8 0

3 years ago

Caleb is putting tile down in his bathroom and needs to know the perimeter of the floor. Two sides rectangular floor are 5 1/3 f

ladessa [460]

Answer:

20 1/6 ft

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides:

2×(5 1/3 ft) + 2×(4 3/4 ft) = 10 2/3 ft + 8 6/4 ft

= 10 2/3 ft + 9 2/4 ft . . . . change 6/4 ft to 1 1/2 ft

= 10 8/12 ft + 9 6/12 ft = 19 14/12 ft . . . . . use common denominator of 1/12 ft

= 20 2/12 ft . . . . . . change 14/12 ft to 1 2/12 ft; next reduce that fraction

= 20 1/6 ft . . . . perimeter of Caleb's bathroom

4 0

3 years ago