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3 years ago

PLZ HELP QUICK!! 20pt+

Mathematics

1 answer:

jek_recluse [69]3 years ago

8 0

Q1.

Angle BAD is adjacent to angle CAD

which means they are equal

so angle BAD = 26 degrees

Q2.

Angel BAC = the sum of angles BAD and CAD

because they are adjacent angles

To find the angles we solve the equations

9x-5 = 3x+7

9x-3x = 7+5

6x = 12

x = 12/6

x = 6

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Find the polynomial f(x) of degree 3 with real coefficients that has a y-intercept of 60 and zeros 3 and 1+3i.

Sauron [17]

$\bf \begin{cases} x=3\implies &x-3=0\\ x=1+3i\implies &x-1-3i=0\\ x=1-3i\implies &x-1+3i=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x-3)(x-1-3i)(x-1+3i)=0 \\\\\\ (x-3)\underset{\textit{difference of squares}}{([x-1]-3i)([x-1]+3i)}=0\implies (x-3)([x-1]^2-[3i]^2)=0 \\\\\\ (x-3)([x^2-2x+1]-[3^2i^2])=0\implies (x-3)([x^2-2x+1]-[9(-1)])=0$

[ correction added, Thanks to @stef68 ]

$\bf (x-3)([x^2-2x+1]+9)=0\implies (x-3)(x^2-2x+10)=0 \\\\\\ x^3-2x^2+10x-3x^2+6x-30=0\implies x^3-5x^2+16x-30=f(x) \\\\\\ \stackrel{\textit{applying a translation with a -2f(x)}}{-2(x^3-5x^2+16x-30)=f(x)}\implies -2x^3+10x^2-32x+60=f(x)$

5 0

3 years ago

The number of picces of art at the musem is shown in the table.

densk [106]

Answer:

The solution is multiple:

A. 15 artists with 2 paintings per artist.

B. 10 artists with 3 painting per artist.

C. 6 artists with 5 painting per artist.

D. 5 artists with 6 paintings per artist.

E. 3 artists with 10 paintings per artist.

F. 2 artists with 15 paintings per artist.

Statement and question complete:

The number of pieces of art at a museum is shown in the table.

Oil paintings 30

Photographs 24

Sketches 21.

The museum is hosting a show for July that features the oil paintings and each artist will show more than 1 painting. How many artists could be featured in the show?

Source: https://educationexpert.net/mathematics/929012.html

Step-by-step explanation:

x = Number of paintings per artist

y = Total number of paintings

x ≥ 2

xy = 30

The solution is multiple:

A. 15 artists with 2 paintings per artist.

B. 10 artists with 3 painting per artist.

C. 6 artists with 5 painting per artist.

D. 5 artists with 6 paintings per artist.

E. 3 artists with 10 paintings per artist.

F. 2 artists with 15 paintings per artist.

8 0

3 years ago

HELP I give big brain! See attachment

Makovka662 [10]

Answer:

Step-by-step explanation:

Here is the full steps:

Distribute

-7(x+10)=7(5-x)

-7x-70=7(5-x)

Distribute

-7x-70 = 35-7x → Answer for the attachment "35"

Add 70 to both sides of the equation

-7x-70+70=-7x+35+70

Simplify

-7x=-7x+105

Add 7x to both sides of the equation

-7x+7x=-7x+105+7x

0 = 105

[RevyBreeze]

7 0

2 years ago

Read 2 more answers

Which expression correctly represents “nine less than the quotient of a number and four, increased by three

Natasha2012 [34]

The required expression is $\frac{x}{4}-9+3$

Step-by-step explanation:

We need to identify the expression correctly represents “nine less than the quotient of a number and four, increased by three"

Solving:

Let the number is x

The quotient of number and four: $\frac{x}{4}$

nine less than the quotient of a number and four: $\frac{x}{4}-9$

Increased by 3 : $\frac{x}{4}-9+3$

So, nine less than the quotient of a number and four, increased by three is:

$\frac{x}{4}-9+3$

So, The required expression is $\frac{x}{4}-9+3$

Keywords: Write algebraic expression from words:

Learn more about Write algebraic expression from words at:

#learnwithBrainly

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3 years ago

How many ohms of resistance are used in the circuit when 15 amperes of current are present? Round your answer to the nearest hun

Olin [163]

The resistance of the circuit, in ohms, is

(the voltage across the circuit) / 15 .

8 0

3 years ago