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3 years ago

Find the slope of the line containing points (1,3) (-3,-8)

Mathematics

2 answers:

Vika [28.1K]3 years ago

4 0

Formula for slope y=mx+c
slope = 11/4

IrinaK [193]3 years ago

3 0

The answer is m=-11/-4

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If you apply the changes below to the quadratic parent function, f(x)=x^2 which of these is the equation of the new function?

g100num [7]

Answer:

Step-by-step explanation:

Given the parent function y = x², then

y = (x + a) represents a horizontal translation

• If a > 0 , then shift to the left of a units

• If a < 0, then shift to the right of a units

Thus a shift of 3 units left ⇒ y = (x + 3)²

------------------------------------------------------------

A vertical stretch of a units, stretches away from the x- axis

A vertical compression of a units, compresses towards the x- axis

• | a | > 1 is a stretch

• 0 < | a | < 1 is a compression

Thus a vertical stretch of 4 ⇒ y = 4(x + 3)²

--------------------------------------------------------------

A reflection in the x- axis, negates the y- coordinate

y = - 4(x + 3)² → A

5 0

3 years ago

Can someone smart help me with this plz:)

insens350 [35]

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180°

6p + 6p + 3 p = 180

15p = 180

p = 180/15

p = 12

Angles are:

6p = 6*12 = 72°

3p = 3*12 = 36°

Angles are: 72°, 72° , 36°

6 0

3 years ago

When climbing out of death valley Amy climbed from 256 feet below sea level to 834 feet above sea level. How far did she climb?

Lunna [17]

The answer is J, 1,090 feet

7 0

3 years ago

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Simplify the expression c^-6 * d^4/ c^-16 * d^14

Naily [24]

Answer:

$\dfrac{c^{10}}{d^{10}}$

Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

$\dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} =$

$= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}$

$= c^{-6 - (-16)} \times d^{4 - 14}$

$= c^{-6 + 16} \times d^{-10}$

$= c^{10} \times d^{-10}$

$= \dfrac{c^{10}}{d^{10}}$

7 0

3 years ago

Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

6 0

3 years ago

Read 2 more answers