Is the sum even or odd? 6+7

I need help with this ?

rewona [7]

Answer:

Range: [-5, 0]

General Formulas and Concepts:

<u>Algebra I</u>

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, the line's y-values span from -5 to 0. Since both are closed dot, they are inclusive in the range:

[-5, 0] or -5 ≤ y ≤ 0

5 0

3 years ago

In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

5 0

3 years ago

Henri has $24000 invested in stocks and bonds. The amount in stocks is $6000 more than three times the amount in bonds. Call the

andrey2020 [161]

Answer:

Henri invested $ 4,500 in bonds and $ 19,500 in stocks.

Step-by-step explanation:

Given that Henri has $ 24000 invested in stocks and bonds, and the amount in stocks is $ 6000 more than three times the amount in bonds, to determine the amount that Henri invested in stocks (S) and the amount he invested in bonds (B), the following calculations must be performed:

6000 + 3B + B = 24000

3B + B = 24000 - 6000

4B = 18000

B = 18000/4

B = 4500

S = 6000 + 3x4500

S = 6000 + 13500

S = 19500

Thus, Henri invested $ 4,500 in bonds and $ 19,500 in stocks.

7 0

3 years ago

An animal shelter wants their ratio of dogs to cats to be 3:2. If the animal shelter has 78 dogs, how many cats should they have

OleMash [197]

The simplest way to do this is to set up equivalent fractions. So, you'd do:

$\frac{3}{2}$ = $\frac{78}{x}$ and then solve for x.

x=52

4 0

3 years ago

WILL GIVE BRAINLIEST AND 100 POINTS

Airida [17]

Answer:

Apologiabiology Ambitious

v=vanilla

c=chocolate

A.

4v+c=45

v+c=27

b.

multiply 2nd equation by -1 and add to first

4v+c=45

-v-c=-27 +

3v+0c=18

3v=18

divide both sides by 3

v=6

sub bac

v+c=27

6+c=27

minus 6

c=21

21chocolate

6 vanila

Step-by-step explanation:

5 0

3 years ago