Find the midpoint M of the line segment joining the points P = (-6, 2) and Q = (2,-4)

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 En

Hoochie [10]

Answer:

a

b

d

e

Step-by-step explanation:

he triangle is isosceles.

The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot.

The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.

3 0

2 years ago

Read 2 more answers

if 4 times a number is increased by 6, the result is less than 15 than the square of the number. find the number

iren [92.7K]

Answer:

n = 7

n = -3

Step-by-step explanation:

4n+6 = n²-15

4n = n² - 21

n² - 4n - 21 = 0

(n-7)(n+3) = 0

n = 7

n = -3

7 0

2 years ago

Find the difference in length between a walking stick and a bumblebee PLS HELP HURRY

Tanya [424]

Difference between the lengths of walking stick and lengths of bumble bee is $3\frac{4}{8}$ inch.

Solution:

Given data represents the length of the insects.

Length of the walking stick = 4 in

Length of the bumble bee = $\frac{5}{8}$ in

Difference between their length

$$=4-\frac{5}{8}$

$$=\frac{4}{1} -\frac{5}{8}$

To make the denominator same, multiply and divide the first term by 8.

$$=\frac{32}{8} -\frac{5}{8}$

$$=\frac{32-5}{8}$

$$=\frac{27}{8}$

Now, change improper fraction into mixed fraction, we get

$$=3\frac{4}{8}$

Difference between the lengths of walking stick and lengths of bumble bee is $3\frac{4}{8}$ inch.

5 0

3 years ago

Pls solve question 4b. Verrry urgent . Ok tyy

kodGreya [7K]

Answer:

$y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}$

Step-by-step explanation:

Given equation:

$y = 3x^2 - 9x + 17$

Factor out 3 from the first 2 terms:

$y = 3(x^2 - 3x) + 17$

Divide the coefficient of x by 2 and square it: (-3 ÷ 2)² = 9/4

Add this inside the parentheses and subtract the distributed value of it outside the parentheses:

$y = 3\left(x^2 - 3x+\dfrac{9}{4}\right) + 17-\dfrac{27}{4}$

Factor the parentheses and combine the constants:

$y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}$

8 0

1 year ago

A man ordered 4 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.41 per box, and felt-tip

natka813 [3]

Answer:

3

Step-by-step explanation:

Let x = # of boxes of felt-tip pens.

(x)(3.44)+(4x)(4.41) = 63.24

21.08x = 63.24

x = 3

Because x = 3, the man bought 3 boxes of felt-tip pens and 12 boxes of ballpoint pens.

6 0

1 year ago